"I like the author's preferences of footnotes.They often emphasize the history, the details of the lives of many mathematicians that appear on these pages.Their comments are fun to what I think is very good Add a special dimension of pleasure At the appropriate level, it has prepared a lot of preparation for the future of future students, and it did a good job. " Advanced mathematics textbooks are exploring important themes of graduate students in pure mathematics and applied mathematics. The topics covered in this textbook cover important areas of other interdisciplinary graduate programs including master's degree, doctoral course, and mathematics. This series provides the latest discovery and application on current topics in mathematical analysis in a wide range of fields. These quantities are more concentrated than is common in standard textbooks and these quantities provide an accessible research frontier for researchers and graduate students. It is useful not only for individual learning but also for graduate school and advanced undergraduate course and research seminar. This series of articles is interested not only by mathematicians but also by scientists in other fields. Applied mathematics focuses on mathematical methods commonly used in science, engineering, business, and industry. Therefore, "applied mathematics" is mathematical science with expert knowledge. Applied mathematics also refers to the professional character of mathematicians who tackle practical problems and as professionals focusing on practical problems, applied mathematics is the development of mathematical models in the fields of science, engineering and other mathematical practices , Focusing on research and use. Traditional division of mathematics is pure mathematics, essential interest research into mathematics, applied mathematics, and mathematics that can be applied directly to real world problems. This division is not necessarily clear, and many subjects have evolved into pure mathematics to find unexpected applications in the future. Recently, there are widely disagreed opinions such as discrete mathematics and computational mathematics. With an ideal classification system, new fields can be added to the organization of prior knowledge, amazing discoveries and unexpected interactions are incorporated into outlines. For example, Langlands is planning to find unexpected connections between areas previously considered irrelevant, at least Galois, Riemannian aspect, and number theory. It is usually difficult to find the right mathematical problem than to find mathematical answers. The following is an extensive explanation of some of the things related to my own research, which is very exciting in today's pure mathematics and is called the principle of impossible intersection. Broadly speaking, the idea is that arithmetic and geometry should not interact in an unexpected way without justifiable reasons. Think about drawing graphics on an airplane. This is a lot of things to do at school. The points on these graphs have two coordinates, usually called x and y. If you draw a random graph (geometric object) on the plane, many points on the graph will not have x and y coordinates. Both are rational numbers (integer scores, arithmetic objects).

Mathematics recently held mathematical educational psychology in Florida - Annual General Assembly in North America, Bob and I played Frisbee on the beach. The temptation of surfing took us to the deep thighs quickly. There, the waves increase our enjoyment with the wind. We threw in parallel to the shore, but the waves diagonally entered, so the waves of the first crushed wave attacked Bob before hitting me a few seconds later. Due to the noise of the waves, verbal communication is difficult, moving the thumb up and down, clapping, head nodding or trembling, and smiling instead or doing frown instead. Proof: Many maths and many complicated maths Many worse maths and lots of maths Lots of maths Lots of maths Lots of mathematics and more complex mathematics and more and incredible mathematics and lots of maths Lots of mathematics And a lot of mathematics, a lot of mathematics, a lot of mathematics, a lot of mathematics, a lot of mathematics, a lot of mathematics and mathematics, a lot of complicated mathematics I used mathematics instead of mathematics in my life. I promise to promote the joy and pleasure of mathematics. I am writing math. I will teach mathematics. I chatted with people and chose miracles of human mathematics in the practice of human daily education and thinking. I even helped to create a compelling global movement to change the world's perception of what mathematics can and should be, ie a global mathematics project. As you know, our mathematicians are deeply disturbed. That is exactly what makes people sad. "I am not a mathematician." "I can not do mathematics" "Mathematics is the worst subject at my school" Please experience. But I hope that these metaphors are not culturally acceptable norms. Outside the educational world such as Julia Robinson Festival, Bridge Mathematical Arts Council, Mathematics Love, Mathematical Museum etc, free, rich and deep mathematical exploration. Mathematics exists independently. Questions and ideas do not need to teach seasonings to taste. Unfortunately, Twitter is not just to confirm the wrong direction of important mathematics education in mathematics education. I am willing to share and explore education by many people. There are few people who directly post mathematical problems. I have seen many people seeking help, but I have never seen anyone seeking help from mathematics. "I insist on this math problem", "I always get a wrong answer" and so on.

In our coaching model, we integrated four practice lines. Firstly, in content planning, emphasis is placed on improving understanding of mathematics, developing learner-centered tasks, and building learning maps to ensure vertical and horizontal alignment. Second, the formative evaluation strategy enhances and improves guidance by evaluating students' learning. Third, we will guide simulation of effective educational strategies and practices. Fourth, classroom management helps to develop the learner community and classroom culture, so the teacher can reach all learners. Through external evaluation, our products have been proven to improve student's academic performance and improve student and teacher's view on mathematics. On average, the teacher's knowledge participating in our course has increased by 88%, and their student status test results show that they are considerably superior to their peers in horizontal and vertical research of teacher effect It showed that it is. Mathematical Center Mathematical Center provides peer tutors for students with low level math courses. The purpose of the mathematical center is to provide short-term aid while helping students become independent learners. Mathematical center is in Cerhall's room S310, American students are available for walk-in classes and regular group coaching sessions. Our tutor is chosen by the advice of the teacher. Instructors need to prioritize lower grade students, but highly trained people help solve other mathematical problems when there is time. Information on the mathematical center including the timetable can be obtained from mathematics and mathematical center of computer science department (https://www.sandiego.edu/cas/math/resources/math-center). About the University of San Diego ................................................... .. ..................... 8 The purpose of mathematical center is to promote mathematical thinking. At the center, I teach various subjects such as calculus, linear algebra, statistics, differential equation and so on. This center consists of mathematical researchers and is a special undergraduate group chosen by undergraduate for the desire to help mathematical achievements and the success of others. Mathematical researchers are trained to acquire excellent skills for problem solving and to guide learners through mathematical understanding process. The aim of mathematical center (sometimes called mathematical laboratory) is to assist students to successfully complete one of Allen Hancock's mathematics courses by providing additional educational resources. The Mathematical Center provides many resources including one-to-one tutorial by our teacher and student's tutor. Please see the full list of the following documents. The leaders of the UChicago Charter adopted a similar approach to reduce inequality and improve student math scores. In collaboration with experts from the elementary school mathematical science education center (CEMSE) of the University of Chicago, they introduced mathematics curriculum throughout the school and developed "mathematical recognition - ability to think and solve problems". Rather than just learning mathematical calculations and procedures. They have the flexibility to arrange collective guidance to promote their personal growth using assessments embedded in the daily curriculum to assess student progress.

From the rainbow, river, shadow, spider, honeycomb, animal coat, the world is full of mathematically descriptive patterns. By studying these observable phenomena, this book introduces readers the beauty of nature revealed by mathematics and the beauty of mathematics revealed in nature. A generous illustration written in an informal way filled with examples from everyday life is an excellent and tiring intuition to mathematical modeling ideas and methods. It explains how mathematics can be used to develop and solve puzzles observed in nature, and to explain solutions. In the process, I will tell you topics such as estimating art and scale effect, especially what happens when things get bigger. The reader is aware of symbiotic relationships between basic scientific principles and their mathematical expressions as well as nature such as cloud formation, halo and glory, tree height and leaf patterns, butterflies and moth feathers, even puddles I will learn about a deeper understanding of the phenomenon. . And mud crack This book was developed from the course of the university and is an ideal complement to applied mathematics and mathematical modeling course. It will also attract mathematical educators and enthusiasts of all levels, designed to allow them to enter at will. John A. Adam is a mathematics professor at Old Dominion University, an editor of the tumor immune system dynamics model survey and a regular contributor to major journals of applied mathematics. J. A. Adam's natural mathematics is an excellent collection of numerous natural phenomena that can be easily observed in nature, and mathematical discussions and models that will help explain them. In addition to more general themes such as Fibonacci number and animal coat, Adam is a rainbow, snow, meandering river, spider's web, bird flight, cloud, boat wave, tide Will be discussed. Mud cracking This list may last a long time! This book focuses on how to mathematically explain these phenomena and patterns by developing and analyzing appropriate models. The depth of mathematics varies greatly between chapters and questions. In most books, only algebra, geometry, trigonometry, and sometimes basic calculus are used; however complex numbers sometimes appear in differential equations in the form of heat and wave equations. Clearly, the important part of this book is the application of elementary mathematics to the natural world around us. As I showed, if we keep our eyes and ears open, we can find many mathematical models in nature; in fact, the act of "declaring a natural problem" is always Gain the correct answer. First of all, remind yourself (unnecessarily, I'm sure) that no answer to any of these questions is available to everyone. But this does not mean we can not understand the broad principles embodied in the rainbow, lens cloud, twist of the river, mud cracks and animal prints. Of course I can. The pattern of nature is a visible law in the form found in nature. These patterns can be reproduced in different environments and sometimes mathematically modeled. Natural patterns include symmetry, trees, spirals, zigzags, waves, bubbles, inlays, cracks, and stripes. Early Greek philosopher research models, Plato, Pythagoras and Empedocles tried to explain the order in nature. Over time the modern understanding of the visible pattern gradually developed in the 19th century and the Belgian physicist Joseph Plateau studied the soap tablets which made him form the smallest surface concept. German biologist and artist Ernst Heckel has depicted hundreds of marine creatures to emphasize its symmetry. Scottish biologist D'Arcy Thompson has pioneered growth patterns of animals and plants and suggests that simple equations can explain helical growth

Another way is to use a power of 2 to identify the sum of rows and to write rows from the outside. The method is displayed as a pattern of triangles. And the pattern itself can be thought of as a method. To check the method, check the mode. For example, the first diagonal is all ones. This represents the "1" X probability of stochastic results. In this case, X is the sum of the elements of a particular row. The second diagonal consists of counting the number of 1, 2, 3, ..., N. This also shows the probability of "Z out of X". Pascal had a great influence on mathematics. 'Pascal's Triangle' (1953) and 'Pascal's Theorem' are two examples of the many effects of Pascal on this field. Pascal gained inspiration from his friend who was very interested in gambling, introduced the concept of probability, and proposed the concept of expectation. One of Pascal's main contributions is a school textbook named 'Petites-Ecoles de Port-Royal'. It is "Del'Espritgéométrique" which means "geometric spirit". However, his work was published in the first century after his death. He studied this idea in the definition of "Del'Espritgéométrique". In a thorough study of geometric axioms, he also wrote "De L 'Art De Persuader" (to persuade art). Pascal's "binomial coefficient" study leads Newton to the discovery of the binomial theorem Blaise Pascal has contributed to mathematics, physics and philosophy. In mathematics, you may recognize his name in Pascal 's triangle. The number forming the Pascal triangle is a binomial coefficient. Each number is the sum of the two numbers above it. The tip and side of a triangle are one. The number forming the body of the triangle is the sum of the two above. For example, the middle number in the third line is the sum of the two numbers in the second line. Pascal submitted this information in writing in 1653. In his 1653 mathematical work, Traitédutrianglearithmétique (Arithmetic Triangle Theory), Pascal explains the convenient table representation of the binomial coefficient now called the Pascal triangle. Indian mathematician Pingala is the first person who presented Pascal's triangle known in other cultures including China in the 2nd century BC. But since Pascal is certainly famous in the Western world, it was named after him. In 1654, he proved Pascal's identity by linking the sum of the first n positive integer p powers of P = 0, 1, 2, ..., k. Other contributions to mathematics at Blaise Pascal include his work Del'Espritgéométrique ("geometric spirit") and De l'Art de persuader ("On persuasion art").

With the development in the past 30 years, the importance of mathematics has increased significantly in more and more occupations and daily life. Therefore, achieving mathematical literacy goals for all citizens has become a national priority. In today's word, mathematical literacy means that adults need to have a complex set of mathematical knowledge and skills that far exceeds the basic computing skills. Authors of everyday mathematics think that it is important to lay the foundation of mathematical literacy earlier than traditional courses. Based on research themselves and others and other supporting studies, the authors also believe that children can learn more than they had expected before. Therefore, the scope of the daily mathematical curriculum of K - 6 contains links of the following mathematical contents. The third edition of daily mathematics includes course objectives and grading targets. The purpose of the course is organized by content chain and is the same in all grade. The course will be compiled and students will be built with consistent learning of each skill and concept. The program's goal is based on research, state and domestic standards, and author's expertise. These goals represent mathematical skills and concepts that all children studying Pre-K-6's daily math use to use. Understand the system and measurement process and use appropriate methods, tools, units, and formulas when making measurements The plan objective is further refined by the grade objective. The performance goal is related to the evaluation and clarifies what students should know in the target field of each year's program. Each grade has about 20 to 25 grade objectives. Everyday mathematical design makes it possible for most students to reach the grade level goals of a particular grade after the grade is over. Students who achieve achievement goals are well prepared for a higher level of mathematical success. For details on specific grade goals, please see the "Parents and teachers" section of the "Targets" section. Archimedes is a Greek mathematician who has created several inventions, formed new mathematical techniques, and utilized geometrical progress in everyday mathematics. He is regarded as one of the best mathematicians ever ("Archimed BC 28th century - 212 BC"), he is responsible for improving the infinite arithmetic meaning and usage of mathematical models in the real world (Noel 28). - Euclid and Archimedes are the two most important scientists and mathematicians in history. Their accomplishments and discoveries play an important role in today's mathematics and science. Many of the fundamental principles and core subjects of mathematics, physics, engineering, invention, and astronomy come from the innovations, inventions, and discoveries produced by Euclid and Archimedes. Euclid, around 330 BC Technological, economic and cultural changes in society over the past 50 years have made it more appropriate and accessible to many important mathematical ideas in their work and daily life. With the popularity of mathematics, mathematics education has both responsibility and opportunity. It is the educator's responsibility to provide high quality mathematical education for all students. A recent report by the National Academy of Sciences (NAS) "Preparation for the 21st Century: Education is Essential" (National Research Council, 1997) is a subtle summary of this.

A pair of students alternately draws two cards. They should be named ALIKE or DIFFERENT between the two cards. Then draw the next two cards and repeat this process until the remaining cards are gone In a competitive game, students who can name attributes first can hold the cards and students who win the most cards at the end of the game will win. Because these attributes may depend on the orientation of the card, in this version the students should sit side by side. The language used by students is informally suitable for kindergarten students (eg "This is a curve, not this", "This has more corners", "They pointed out" Mathematical practice standards focus on the nature of learning experience by focusing on thinking processes and customs that students need to develop in order to deeply and flexibly understand mathematics. Some challenges help students show certain habits. The habit that can be observed during the mission is determined by the way teachings are taught. Tasks may be related to multiple practices, but they only deeply discuss one practice connection. There is a possibility to discuss secondary possible connections, but the details are not the same This special task is very carefully associated with the first part of Mathematical Practice Standard 3 and constitutes an executable discussion. Students work in pairs and receive two cards in turn. These cards have various forms of pictures. Ask students to explain the similarities and differences between the two forms. This kind of work builds the foundation for the interpretation of art and leads to "criticism of others' reasoning." Before students criticize others' reasoning, they must be satisfied with the evidence to support their own ideas. For example, a kindergarten student may explain, "I know that shape has a straight edge and the second shape is bent." Discuss. This kind of mathematical conversation in the classroom is built by joint problem solution and dialogue. There are many possible solutions to this game. All solutions generated by children need to be evaluated according to their reasoning, such as "These are the same ..." or "These are different ...". Empirical mathematics: Teach the state, evaluation alliance, test company, and course developer to explain the extent and type of mathematical work experienced by the students in faithfully performing common core state standards I will. Www.illustrativemathematics.org Progress document on Common Core Mathematical Standards: A narrative document explaining the progress of topics at multiple grade levels. Http://math.arizona.edu/~ime/progressions/ Publishers Criteria for Mathematics: Standards for coordination of teaching materials for CCSS. This document is based on CCSSM's two principle evidence-based design principles, priorities and consistency, by publishers and course developers, as well as state and school districts designing, evaluating and selecting documents or modifying existing materials We are aiming at guidance when doing. A generous illustration written in an informal way filled with examples from everyday life is an excellent and tiring intuition to mathematical modeling ideas and methods. It explains how mathematics can be used to develop and solve puzzles observed in nature, and to explain solutions. In the process, I will tell you topics such as estimating art and scale effect, especially what happens when things get bigger. The reader is aware of symbiotic relationships between basic scientific principles and their mathematical expressions as well as nature such as cloud formation, halo and glory, tree height and leaf patterns, butterflies and moth feathers, even puddles I will learn about a deeper understanding of the phenomenon. . And mud crack Last year, a seminar called "Explanation of Mathematics" at the Institute of Mathematical and Computational Experiments (ICERM) gathered a group of eclectic mathematicians and practitioners of digital art to celebrate the

Please help your children complete their homework or access resources to improve your math skills with login information provided by your child's teacher Authors of everyday mathematics think that it is important to lay the foundation of mathematical literacy earlier than traditional courses. Based on themselves and others' research and other supporting studies, the authors also believe that the kids can learn more than they had predicted before. The third edition of daily mathematics includes course objectives and grading targets. The purpose of the course is organized by content chain and is the same in all grade. The course will be compiled and students will be built with consistent learning of each skill and concept. The program's goal is based on research, state and domestic standards, and author's expertise. These goals represent mathematical skills and concepts that all children studying Pre-K-6's daily math use to use. Between mathematics and its applications, examples of persuasive mathematical ideas in daily life and at work are also provided. These examples can expand national math education programs, including two goals of doing work and higher education for students. In addition, these courses allow students the flexibility to return to higher education with an appropriate career path. This document explains the commonalities between university, workplace and mathematical expectations of everyday life and provides an expanded mathematical perspective by explaining the complex usage of mathematics taught in high school and community colleges It aims to do. Mathematics in the workplace and everyday life is good mathematics for everyone. How well do you know about mathematics in your life? Awareness raising of mathematics and statistics Month is held in April to show the usefulness of mathematics and statistics in everyday life. From technology to safety, to medicine, mathematics and statistics are often used to solve serious problems. These are just a few examples of important health-related discoveries supported by mathematics and statistics funded by the National Science Foundation (NSF). For decades since he developed the theory, Polyak's approach to solving complex optimization problems is to increase the efficiency of radiation therapy by limiting the effects of radiation on nearby healthy organs It was used for. This theory not only serves as the basis for software packages to improve cancer treatment, it also helped to optimize its industrial design and distribution within the electrical grid.

Mathematics is considered a problem. People who are good at it are thought to belong to some kind of elite. Usually "accepted" in this elite, you have to meet some requirements, and most are related to specific gender. "Mathematics is a gift of gods for boys." This is always a society's perception of society. Most people think that the nature of mathematics is mainly related to male attributes, so men are more interested in mathematics. Therefore, according to these people boys get mathematically better by default, girls are excluded from good relations with this research field. In this article, we will outline the purpose of review by the author of gender difference in mathematics education. After that, we announced the sex and mathematical findings of the industrial society (USA, Australia, UK) and several developing countries in South Africa (South Africa, Mozambique, Botswana). Factors responsible for some of the gender differences in achieving mathematics have been criticized and the relationship between mathematics and social entity (democracy and power) has been challenged. Finally, the significance of the above research on mathematical learning in girls in Botswana (and Africa) is shown. Review of literature on gender and mathematics in the United States and other Western societies suggests that in the early stages of school education there is a contradictory relationship between sexual and mathematical achievement. For example, in a three-year longitudinal study conducted in the United States, the strategies used by students in elementary school lower grades (1-3) were studied to solve mathematical problems. There is a gender difference in ability to solve mathematical problems of third graders (8 to 10 years old). However, they found a big difference in problem solving strategies. There, girls use a specific solution strategy such as modeling and calculation, boys use more abstract solution strategies to reflect conceptual understanding ", 1998, page 4) The fact that American society has a big difference in occupational separation and gender socialization in the public sector is due to gender differences in mathematical performance. In Leahey and Guo (2001), this occupational separation began with high school mathematics, and it was found that men are better than mathematics in academic ability test (SAT) for men. This is also the same in the Mathematics section of the American College Exam (ACT).

In order to try to accurately represent a certain basic mathematical concept, several different concepts of acceptance and development should be considered. In the 5th century BC, Pythagoras believed that the ultimate element of reality is a number; therefore, we can only explain the interpretation of anything by number. Gottlob Frege pointed out in a view called logicalism that mathematics can be reduced to logic in a sense. Plato's view shows that we "understand" these mathematical rules at a level of intuition rather than consciousness. As Plato suggests, is there a mathematical world that transcends ordinary reality? Or is mathematics a cultural composition? In this essay, we estimate the position of mathematical reality from the perspective of ancient meditation, psychedelic, and the mysterious cosmology of the fortune's tradition. "As Mandelbrot was able to access IBM's computer, Mandelbrot was one of the first people who created and displayed fractal geometric images using computer graphics and discovered Mandelbrot in 1979. Clouds and coastlines It is said that what is usually regarded as "rough", "chaotic", or "chaotic" is in fact a certain degree of order. The upper part is part of the image of the Mandelbrot group. Believe it or not, the picture is a mathematical chart that the computer program applied to it. The Mandelbrot set is determined by repeating a simple mathematical function - actually connecting the output to the input. This ultimately creates infinite complexity. We have to ask ourselves. This is where science and art begin to encounter. If someone told you that you showed pictures of Mandelbrot's lawsuits and said that he drew just inspiration and painted this breathtaking abstract image from scratch, you would be shocked. This is a wonderful image. But that is not the case. This image was created when mathematicians spent troublesome calculations and research for hours, days and days.

NTeQ Lesson Program Project Name: Development Time Management Unit Topic: Statistics and Data Collection Grade: High School (9-12) Summary: Students all over the world seem to be fighting time management. Many students participate in extracurricular activities and work at school. Therefore, they not only incur the burden of school work everyday, but also bear much responsibility outside the school. The program allows students to interact with students from other telecommunications classrooms, discuss expectations and time issues, and create projects for their data. The first way is to summarize the mathematical proficiency of the work when the teacher creates a lesson plan. This poster will help the teacher to create appropriate activities to achieve these outcomes in the lesson plan (Newhouse & Perso, 2001). For example, if the result is related to communication, the teacher can easily view the poster and see various ways that the student can communicate to meet the results. Technical method candidate faculty candidates apply their technical knowledge and their uses in mathematics education and learning. These future mathematics teachers used technology as an educational tool to create several lesson plans. Course plans focus on the use of concepts and skills in technology advancement in pre algebra, algebra, geometry, pre-disassembly, and calculus. When a lesson planning topic is selected, pre-school teachers will identify appropriate teaching methods. They develop and write instructional courses using graphic calculators, interactive mathematical computing environments, interactive geometric applications, computer spreadsheets and the Internet. However, depending on the selection of a particular mathematical topic, each teacher candidate creates a course using other technical formats being studied in the course, such as dynamic statistical software and CAS. Due to time constraints, pre-primary teachers will teach to classmates at least as a course of students. Our course will ensure that these future math teachers can write and provide lesson plans including techniques for mathematics courses they are seeking to approve. Importantly, the teacher can create a systematic, detailed, well-designed lesson plan focusing on specific mathematical topics and using multiple expressions, as in the appendix example . After instructor candidates have been able to develop detailed courses to delve into topics, open exploration and research-driven mathematics courses developed using software such as interactive, dynamic geometry or algebraic software developed it was done. In order for students to experience mathematical topics deeply, specific "guidance" discovery course planning is necessary.

Halloween is tomorrow (for me), so I think that posting about mathematics related to Halloween will be very interesting 1. Carving pumpkin. This is one of my favorite Halloween traditions. Romania (my place of birth) did not celebrate, but in autumn pumpkins were carved for my grandparents and my sister. This is some good ideas for mathematicians: A terrible mathematics. In the history of mathematics, there are strange names for specific attributes and specific numbers. Among these names are those that are perfect for Halloween; they will remind you of witches, beasts, demons, skeletons etc unique to October 31. This is the best (and most interesting) thing I think. clothes. This chapter is for those who love Halloween. I think dressing up for Halloween is really creative. If you are like a more mathematic boyfriend (like a person in the image - the image is not mine, Google will help me), it's a bit strange and fun to dress up this Halloween There is a way: Thank you for your support and cooperation. As any feedback will be evaluated, please click on the like button. In addition, you can use # HalloweenwithLThMath to send me pictures of what you are doing for Halloween. Even if it is not related to mathematics. My Facebook page, my Tumblr, the Google+ page I just started, and my new Twitter (I am familiar with the two recent things if you saw those stupid mistakes). Thank you for reading and enjoying. Have a nice weekend Return to the story before the deep learning era - when the neural network is terrible than strange machine learning and artificial intelligence tools, strange mathematical curiosity - there are lots of classically successful data mining that has surprisingly succeeded in natural language processing Algorithm application (NLP) domain name. To deal with problems such as spam filtering and part-of-speech tagging, you can use models which are fairly simple and easy to understand. However, not all problems can be solved in this way. With a simple model, it is not possible to properly capture subtle parts of the context such as context, idioms, satire (although at that point human beings will fail). Algorithms based on the general summary (such as word porch) have proved to be insufficient to capture a series of text data, but n-gram is difficult to simulate a general background , I am greatly influenced by the dimension curse Natural language processing in artificial intelligence is almost human's hand. Worse, it gets smarter! For the first few years it was a devil that was used to solve mathematics and physics. At that time, even though I was not graduating from college, I thought it was very difficult to spend time with my friends. Because I was always afraid to return to these subjects. But thanks to omnipotent things, things are going well and there is no backup. The situation has changed when I entered the last semester of the course. Due to the emergence of core computer subjects, research tension is not high. Because these things are natural to me. Anyway, this is what I started going to a cafe with my friends.

I am interested in mathematics education comes from the experience of helping others. I always liked to study mathematics, and I also realized that I like to help others learn mathematics, especially those who fight with them or those who do not like it . As a teacher, I will be able to make my wish come true; my students and I will study together and learn from each other. As a teacher, I feel it is important to maintain the present situation and deepen the understanding of mathematics and mathematics education. My study continues to be the experience and interaction of teachers and helps me become a better educator. I always think that I can use it to learn from what I am doing and to make it better. Furthermore, it is important to meet the needs of all students in class. There should be opportunities for everyone to learn. However, because learning is done in various ways, this can be a difficult task. Not all students learn in the same way, but there are various learning methods in a class that various students gather. Not all students learn and keep information in exactly the same way because every student is an individual. Therefore, I think that it is useful for students to learn using collaborative learning, technology, operation, and various evaluation methods in order to succeed in the classroom, so various aspects of my educational style included. TECHNOLOGY Using these different methods is useful for every different learning style, from vision to hearing and movement sensation. In addition, although lectures are sometimes effective, they are very important because they provide students with an opportunity to experience the concept itself by using various teaching methods and to understand their responsibilities for knowledge and understanding. In this way, students can not only find more interesting courses, they can also better understand the information they should know. Finally, most students view schools and teachers as unnecessary obligations. They go to school as they need it, Teachers who teach mathematics at any grade need to understand the importance of teaching content as a basis for students to learn mathematics in the future. They offer challenging mathematics to students with different levels of mathematical understanding and work on a variety of student issues that are pertinently associated with learning diversity. Each grade mathematics teacher should teach their students more mathematics and more challenging mathematics and learn about the lessons that they taught before and after mathematics. They should also understand that young students can teach more sophisticated mathematical concepts and explore these concepts at an early stage using strategies suitable for development. In the last article, in addition to teaching mathematics, mathematics should also teach students to respect diversity, to see mathematics in the context of life and culture, to learn to analyze and criticize social problems and fraud I thought. The purpose of these learning analyzes is to connect mathematics to the real world. This is the mathematical model which is the fourth core of general math practice standards. What is the relationship between mathematics and the real world? There are two general methods Cultural order of students with mathematical background and limited historical background. Mathematical reasoning is more important than formal operation. Let non-mathematical students touch the diverse themes of mathematics and teach deductive reasoning. Topics chosen from arithmetic, geometry, number theory, topology, algebra, analysis. A solid basis is assumed in the basic algebra. Includes set, real number, index and property of free radicals, inequalities of solutions and primary and quadratic equations. It also includes word issues, basic manipulation of polynomials, factorization, special products, rational expressions, functions, conical parts, Cartesian plots of linear and quadratic equations, in

Mathematical study In this report, I will learn about Pythagorean trio. Pythagorean theorem was invented by Greek mathematician and philosopher Pythagoras who lived in the 6 th century B.C. Pythagorean theorem applies only to right triangles with three different long sides, one short side, one middle side, and another long side. Pythagoras' triple is when a set of numbers meet the criteria: Minimum side 2 + middle 2 = longest side 2. The field of research, known as the history of mathematics, is primarily the origin of mathematical discovery, and, to a lesser extent, investigation of past mathematical methods and symbols. Before knowledge spreads in modern times and around the world, examples of new mathematical developments have appeared in only a few places. Since 3000 BC, Mesopotamian Sumer, Mecca, Assyria, and ancient Egypt and Ebra began using arithmetic, algebra, geometry for taxation, commerce, trade and astronomy. Create a calendar and record time From the early days, the foundation of mathematics was under investigation; Is mathematics the ultimate truth, or different structures can establish different mathematics? We have iterated based on Peano arithmetic and first-order logic, set theory, group theory, ring theory, but now we are using higher-order categorical theory. In elementary mathematics, algebraic processing has a finite structure of (almost) elegant nature and analysis deals with numerical sequences of infinitely small and infinite, but some methods are difficult to handle, and phase processing gives structural spatial transformation . Today, we are integrating everything and building a framework like derived algebra geometry Mathematics Mathematics can be regarded as science and art. Essentially, it is the science of abstract structures or order studied through logical reasoning. In an attempt to capture that intuition, mathematics is guided by aesthetics; when it tries to reflect a specific abstraction it creates a symbolic pattern of sharing art. Mathematics is also a resource and recognized for scientific and technical tools. Bachelor of Science degree (B. S.) Bachelor of Science in mathematics has two specialized fields. These two areas are necessary for the core course of the next semester: MATH 196, 201, 205, 312, 313. Academic minors are not necessary, but they are optional. Mathematics major requires 39 semesters of mathematics

Women's contribution to mathematics Women in mathematics world are subjects that people rarely speak. If it is a female math teacher, it is the only time people do it. Many people do not know that women have made a very important contribution to the world of mathematics. Since the 5th century, it is recorded that women such as Hypatia, Maria Gaetana Agnesi, Sophie Germain, Emmy Noether, Ruth Moufang, Sun-Yung Alice Chang are participating in mathematics. Before proceeding, I pointed out the view of a woman as a second-class citizen of the world of mathematics and pointed out the difference between the contributions of insiders (men) and outsiders (women). You may think this is a matter of gender, but it is not everything. As with all excellent mathematicians, regardless of gender and women, I would like to simplify the problem to its simplest form. After graduating from college, in the late 1980s I found work in Wall Street and began to read economics. Most of it was written in statistical mathematics. Statistics like calculus is another unknown world that I am anxious about to elucidate its secret. I read the basics of basic statistical mathematics I wrote in a second-hand bookstore in 1934. It's $ 1.50. I noticed that it was written by a woman, Helen M. Walker. The price of a new book written by men is much higher, so even if it was written by a woman, I would get the best value and fifty cents. This is a scientific fact: women are unwavering! The New York Times bestseller 'Female Science' is an attractive illustration and educational book that emphasizes the contributions of 50 famous women in the field of science, technology, engineering, mathematics (STEM) from ancient times to modern times. This fascinating collection is full of eye-catching unique art, including experimental equipment, the percentage of women currently working in the STEM field, and infographic on related topics such as illustration science glossaries. A pioneering female statue is a well-known figure such as a primatologist Jane Goodall and a less well-known pioneer like African American physicist Catherine Johnson and the monthly mission of Apollo 11 in 1969 Includes mathematicians who calculated the trajectory. . After Lilian · K · Bradley in 1960, Malone - Maize became one of the first African - American women who received a doctorate in mathematics at the University of Texas (and the fifth African - Americans in the United States Woman). She is the first African-American teacher at Baylor College and the first African-American to be elected to the Executive Committee of the Female Mathematical Society.

Cooperative Learning in Mathematics Recently, there have been many new trends in using cooperative learning in many classrooms, especially in mathematics classes. Collaborative learning means that students cooperate to achieve a common goal. In this case, if other students in the group also achieve their learning objectives, students need to feel that they can achieve only their own learning objectives. Students must understand that their achievements are interrelated. In order to learn the outline of cooperative learning of mathematics, please try joint learning with undergraduate math. Key questions and effective strategies published by the American Mathematical Association edited by Elizabeth C. Rogers, Barbara E. Reynolds, Neil A. Davidson, and Anthony D. Thomas reviewed the MAA's online book review, I learned about books. Journal of Mathematical Research (IBL) publishes course notes for specific mathematics courses designed around inquiry-based learning. The journal is funded by the Education Progress Foundation, which is dedicated to Moore's mathematics teaching method firmly. There, students basically prove all important theorems of the curriculum from the beginning. This is the core version of IBL that is often used in some graduate programs, but there are "lighter" versions even in undergraduate courses and introductory courses. Mathematical collaborative learning is essential if mathematical teachers want to improve problem solving skills, mathematical communication abilities, mathematical reasoning abilities, mathematical importance, confidence in the ability to apply mathematics, and even more confidence. Abilities of people to apply mathematical knowledge to the situation of new problems in the world. Competition and individualism issues should be given from time to time (even if students passively accept information), the dominant goal structure in mathematics should be collaborative. Mathematical problem solving can best be taught by using collaborative learning techniques. Students should be provided with processes, stages and strategies to make mathematical problems easier to learn. The teacher must also consider providing realistic mathematical situations to challenge the students and students begin to recognize the necessity and essence of being a good problem solver. The teacher will do collaborative learning in mathematics lessons in a fairly simple way such as students asking partners to decide answers to their questions and students to work on site to check their mutual homework You can start. Assign students to the group and tell them to work together. The role of teachers in collaborative learning context building includes the clarification of the purpose of the curriculum, the placement of students in research groups, the provision of appropriate teaching materials, a clear explanation of the structure and learning tasks of the student, Includes supervision of work, evaluation of student's grades. The interpersonal and group skills necessary to teach the students can be completed simultaneously with the teaching materials.

Last year, I liked studying probability in my extended math lesson. Especially, the evaluation is creating our own casino games. There are complicated rules to create, but we have to fill out this template to construct our own casino games. One thing that motivated me was that our mathematical knowledge leads to the creation of casino games. It should have nothing to do with mathematics. I decided to go to the tutoring class (Juku) from summer (2013) to improve charting skills and high school math. My weak point last year was a chart that I could fix at the end of the summer. I used an application called Geogebra, but when I enter an expression I create a graph, but I think that this expression is not good. I think it is much easier to learn how to write charts by hand and make people (students) better understand the process. As a goal, I would like to focus on advanced mathematics this year. That's just a matter. Do not lose my attention. When talking with a friend, there is a tendency to depart from the truck, so continue conversation when solving problems or conducting group discussions. I also want to understand advanced geometry and mathematical theory. Beginning with mathematics, smart textbooks will be launched before the fall semester: a tool to personalize education based on the strengths and weaknesses of students, analyze their learning, and customize the content in real time. Thanks to Sana's technology, NEs will be able to evolve even more than ever. SWOT (Pros, Cons, Opportunities, Threats) analysis is the company's strengths and weaknesses and how to analyze the external opportunities and threats the company is facing. Benefits include the company's abilities and resources to provide value and create competitive advantage. The weakness is the problem of limiting the company's ability to take advantage of that advantage. Opportunities to provide PEST (political, economic, social and technical) analysis expand SWOT analysis including political and regulatory issues, economic factors, social norms and attitudes, demographics and technology development It is a macro framework to do. Some organizations extend PEST analysis to include legal and environmental issues (PESTEL) Management accountant's basic tools support tools and technologies for the success of sustainable business The purpose of SWOT analysis is to focus on strengths, define and minimize weaknesses, avoid existing threats, and take advantage of existing opportunities to further develop. Advantages and disadvantages are usually related to internal factors. In other words, opportunities and threats are external. The user process is a guide to the content and design requirements of the website or application. You should understand what the customer wants when they build good user processes with your product. Provide additional information to the user as necessary and identify inappropriate situations that may prevent you from proceeding to the next step. Understand your strengths and weaknesses. Check strengths and weaknesses to understand what advantages can be exploited and what weaknesses need to be improved. For example, if your strength is sociable and getting along with other people, this could lead to a leadership role and motivate others to complete the project. On the other hand, I feel that it is difficult to think conceptually "in general", so I would like to improve my decision making by affecting my office by running a brainstorming session for 1 year and 5 years maybe.

Research and information on mathematics and mathematics learning has changed over the past 100 years. The focus in the first half of the 20th century was computing methods such as excavation, practice, coincidence learning (Brownell, 1947; Thorndike, 1924). Of course, this emphasis can be attributed to the lack of available technology and the need for effective computing in society (Jones et al., 2002). The development of new mathematics in the second half of the 20th century was a change in the position of mathematics educators and researchers. The Renaissance is an era of hearts changing as "rebirth". This is an era when the medieval thought and philosophy began to change dramatically. Scientists have discovered new information about mathematics, physics and astronomy. Human form has been studied very precisely. Since the basic concept of Renaissance is "humanitarianism" and recognizes the fundamental value of a person as an individual as well as the soul serving God and the church, the desire for knowledge begins to impair the status of the church I will. At that time, even though seeking scientific explanation due to inconsistency with the teachings of the church some great thinkers were persecuted. The power of information and knowledge is so powerful that these new ideas of Renaissance have spread rapidly throughout Italy and Europe. What we call Babylonian mathematics is actually understanding of Mesopotamian mathematics and relatively new information. The source of mathematical information discovered and translated is wedge shaped text. Hundreds of such mathematical tablets are recycled. Two thirds of the recovered tablets are considered "old Babylon" between 1800 and 1600. Based on these and other findings, most research mathematics says Babylonians far exceeded the Egyptians in mathematics. In many tables, numbers from 1 to 50 squares, and cubes, square roots, and cubic roots are given.

Upon completing the M.Ed. student math or science course and educational options, the curriculum himself and professional standards are increased and the awareness of contact with the educator community that is striving to solve similar problems increases, Faith and allegiance will disappear according to. Trend; led by deep knowledge and understanding, devoted to practical work, and enthusiasm for more understanding You should read the program requirements carefully in order to learn more about all the components of M.Ed. Study course It is also necessary to comply with graduate degree degree acquisition requirements, and one course should include at least 18 units, 500 or more, and 18 units. A combination of science education course (within education university) and natural science course (outside college) will earn at least 18 credits. Two specific courses are required: EDC & I 471 and EDC & I 571. You choose another course of the natural science course with the approval of teachers in the fields of biology, chemistry, physics, earth science, oceanography and other sciences. Related fields Most natural science courses should be level 400 or higher At least 18 units of math and mathematics education are required. The course should negotiate with your counselor and be suitable for future career goals. Mathematics education has 6 to 9 credits including the following. Doctoral and doctoral students work closely with consultants to develop advanced and coordinated learning including intermediate and advanced courses in mathematics or science education, as well as external courses to gain broader perspectives and deeper specialized topics Create a program. insight Doctoral students have specific requirements and milestones that can be displayed here. Doctoral students can find specific courses and degree requirements here. Students with an associated Master's degree must apply to the Faculty of Education. program Program graduates work in the leadership roles of classrooms, schools and communities (such as content or course specialists, team leaders, employee developers, etc.) as well as non-profit organizations and community groups. Doctoral graduates also apply to the position of university teachers Mathematics and science education programs focus on studying mathematics and scientific knowledge and practice in classrooms such as family communities, museums, workplaces and off-campuses, and participation in learning, education, and technology. In disciplinary action. Teachers and student researchers have developed several guesses to guide the design and development of the learning environment to support the growth of students in these areas. Make long-term research to test and improve speculation, and understand the development of key mathematical and scientific ideas and the designs and theories they are based on. The ultimate goal is to develop a learning environment and educational practice that allows all students to access equally important mathematical and scientific ideas. Therefore, diversity and cultural issues play an important role in all research and development activities. Applied mathematics is the application of mathematical methods in various fields such as science, engineering, business, computer science, industry. Therefore, applied mathematics is a combination of mathematical science and expert knowledge. The term "applied mathematics" also describes the professional characteristics of mathematicians who solve practical problems by developing mathematical models. In the past, practicalization promoted the development of mathematical theory, then mathematical theory became the subject of pure mathematical research, where the study of abstract concepts was for itself. Therefore, application of applied mathematics is closely related to pure mathematics research.

Mathematics is considered a problem. People who are good at it are thought to belong to some kind of elite. Usually "accepted" in this elite, you have to meet some requirements, and most are related to specific gender. "Mathematics is a gift of gods for boys." This is always a society's perception of society. Most people think that the nature of mathematics is mainly related to male attributes, so men are more interested in mathematics. Therefore, according to these people boys get mathematically better by default, girls are excluded from good relations with this research field. In this article, we will outline the purpose of review by the author of gender difference in mathematics education. After that, we announced the sex and mathematical findings of the industrial society (USA, Australia, UK) and several developing countries in South Africa (South Africa, Mozambique, Botswana). Factors responsible for some of the gender differences in achieving mathematics have been criticized and the relationship between mathematics and social entity (democracy and power) has been challenged. Finally, the significance of the above research on mathematical learning in girls in Botswana (and Africa) is shown. Review of literature on gender and mathematics in the United States and other Western societies suggests that in the early stages of school education there is a contradictory relationship between sexual and mathematical achievement. For example, in a three-year longitudinal study conducted in the United States, the strategies used by students in elementary school lower grades (1-3) were studied to solve mathematical problems. There is a gender difference in ability to solve mathematical problems of third graders (8 to 10 years old). However, they found a big difference in problem solving strategies. There, girls use a specific solution strategy such as modeling and calculation, boys use more abstract solution strategies to reflect conceptual understanding ", 1998, page 4) The fact that American society has a big difference in occupational separation and gender socialization in the public sector is due to gender differences in mathematical performance. In Leahey and Guo (2001), this occupational separation began with high school mathematics, and it was found that men are better than mathematics in academic ability test (SAT) for men. This is also the same in the Mathematics section of the American College Exam (ACT).

INTRODUCTION Until the 17th century, most theories color a certain light fixation which is thought to occur when light interacts with matter. Light is regarded as colorless in the purest form such as sunlight. But in 1666, Isaac Newton made progress in understanding the color, and he found that ordinary white light already contains all the colors of the spectrum and can be separated using a prism I could prove what I can do. He also concluded from his experiment that the object has color as they absorb light of other colors selectively reflecting a particular color of the spectrum. Harmonic values ​​and formulas At least the ancient Egyptians knew the light field accurately and measured. Light is not the sun, light is synchronous and cold. Even if the waves are removed from the ocean, the ocean remains. A cold does not necessarily mean freezing, and there is no reason Assimilate epistemology in logical order. The only way mathematical logic works is to reveal mathematical truth or falsehood, to counter arguments against so-called. This indicates that mathematics is correct. However, other methods and other considerations are necessary to show that mathematics is correct. A very important heuristic maxim that I discovered based on my experience with Dr. Whitehead was applied to mathematical logic and already applied to other fields but this is a form of Occam's razor . When several hypothetical entities have neat logical attributes, in many cases the results show that so-called entities can be replaced by a purely logical structure consisting of entities without such tidy attributes I will. In this case, you can replace the logical structure without changing the support details of the problem when interpreting the proposition that has been considered to be related to the so-called entity so far.

Mathematics is probably one of the most underestimated science. In every part of our life, mathematics runs our computer, skips our plane, and protects our information. However, most of our lives are occupied, but few people say that they know how to protect e-mail by way of RSA encryption. . Contrary to the general idea, mathematics has a wide range of useful uses. "Prior to the emergence of computers, it was rare that it worked best in mathematical matters and in everyday life, but computer mathematics relates to everyday life at home, school and work. - Papert, Mindstorms (chapter 2) But Papert thinks that not only the computer is necessary to achieve the vision, it is also a concrete expression of the calculation we call now the algorithm, especially the system program Papert considers the algorithm to be a means of reflecting the behavior and behavior of the world's behavior By encouraging children to write algorithms as part of their learning, I believe that they can help learn to reflect well and accelerate their knowledge building. How well do you know about mathematics in your life? Awareness raising month for mathematics and statistics is held in April to show people the usefulness of mathematics and statistics in everyday life. From technology to safety, to medicine, mathematics and statistics are often used to solve serious problems. These are just a few examples of important health-related discoveries supported by mathematics and statistics funded by the National Science Foundation (NSF). For decades since he developed the theory, Polyak's approach to solving complex optimization problems is to increase the efficiency of radiation therapy by limiting the effects of radiation on nearby healthy organs It was used for. This theory not only serves as the basis for software packages to improve cancer treatment, it also helps to optimize its industrial design and power distribution in the power grid.

Please help your children complete their homework or access resources to improve your math skills with login information provided by your child's teacher Authors of everyday mathematics think that it is important to lay the foundation of mathematical literacy earlier than traditional courses. Based on themselves and others' research and other supporting studies, the authors also believe that the kids can learn more than they had predicted before. The third edition of daily mathematics includes course objectives and grading targets. The purpose of the course is organized by content chain and is the same in all grade. The course will be compiled and students will be built with consistent learning of each skill and concept. The program's goal is based on research, state and domestic standards, and author's expertise. These goals represent mathematical skills and concepts that all children studying Pre-K-6's daily math use to use. Between mathematics and its applications, examples of persuasive mathematical ideas in daily life and at work are also provided. These examples can expand national math education programs, including two goals of doing work and higher education for students. In addition, these courses allow students the flexibility to return to higher education with an appropriate career path. This document explains the commonalities between university, workplace and mathematical expectations of everyday life and provides an expanded mathematical perspective by explaining the complex usage of mathematics taught in high school and community colleges It aims to do. Mathematics in the workplace and everyday life is good mathematics for everyone.

The essence of mathematics depends on logic and creativity, but it can be used not only for basic profit but also for various practical purposes. The essence of mathematics lies in its beauty and intellectual challenges. This paper is divided into three parts: pattern and relationship, mathematics, science and technology, and mathematical exploration. First, mathematics is the science of patterns and relationships. As a theoretical order, mathematics explores relationships that may exist between abstracts, regardless of whether the abstraction has something corresponding to the real world. Keith: In natural science, mathematics is an absolute ruler. If you break the law of mathematics, you no longer do physics, astronomy etc. But in the humanities, mathematics is just a tool. It's all right, and it's always been more convenient, but it's still just a tool. Good bye to my book, Descartes seeks to clarify the inherent limitations of the mathematical method ("Cartesian method") in human science that I saw. Mathematics is indispensable in various fields such as natural science, engineering, medicine, finance, social science and so on. Applied mathematics has led to new mathematical fields such as statistics and game theory. Mathematicians are engaged in mathematics without thinking of any application for pure mathematics or my interests. Actual applications often start with pure mathematics. The history of mathematics can be seen as ever-increasing abstraction. The first abstraction shared by many animals may be abstraction of numbers. I recognize that there are similarities between the two apple collections and the two orange collections. This deep-shaped tautology applies to mathematics. The essence of mathematics enables and creates wisdom. Suppose there is another axiom, a rule based on mathematics. Is there an interaction of "chaotic edge" that is important for intelligence as well? Depending on the combination of axioms, complex dynamics such as our brain (or discolored silver color) may be generated, but many axioms generate self contradiction or structurally interesting system dynamics. There are actually closely related axioms, but they share the fundamental characteristics that enable very complex behavior. Our math is mathematics that creates complicated systems, intelligence of biology in nature, and silicon shell.

Mathematics Philosophy Mathematics has been contributing to technology change for many years. The most attractive mathematical method is to evacuate abacus to various variations of calculator. Some people think that technology changes have improved, others think that the situation is getting worse. In this article I will not discuss technology in particular, but this article will focus on those who influence the philosophical world of mathematics. In order to understand the influence of mathematics, this article deeply explores three philosophers who contributed to this academic past. Mathematics philosophy is a field of science philosophy, but in many respects mathematics has a special relationship with philosophy. This is because logic research is the central part of philosophy and mathematics is an example of logic. From the late nineteenth century to the twentieth century, logic has progressed greatly and mathematics has been proved to be reduced to logic (at least some set theory can be used to explain the primary logic). Although not common, the use of formal mathematical logic in philosophy is currently analogous to the application of mathematics in science. Innerism is the philosophy that human beings can not judge the essential value of things. Intuitionism in mathematical philosophy, intuitionism, or (in contrast to premise) guidingism is a mathematical way as a constructive psychological activity of human beings. That is, mathematics does not include analysis activities. Analytical activities reveal and apply deep attributes of existence. Instead, logic and mathematics are applications of internally consistent methods to achieve more complex mental structures. The philosophy of irrationalism claims that science is not as intuitive as instinct. The conquest of art and aesthetics is the ultimate transcendence of mankind. Non realism is a kind of philosophy combining phenomenology and physics in epistemology and these two viewpoints can be used interchangeably as an aesthetic study of agents and free will. If you start digging in the internet, you will find a mathematical philosophy. From a historical perspective you can learn mathematical perspectives (eg Platonism, Logicism, and Empirical Psychology). But there are bigger and bigger observations. It is a method. thinking. That is not just mathematics in philosophy. That is a mathematical AS philosophy. How many subjects are there in the university structure - based on mathematics

According to the faculty, as far as someone remembers, there is no mathematics to survive in this world, but in the United States alone, "Dyscalculia" (also known as Dyscalcula) can not master mathematics, so thousands of people I can not master. Calculation difficulty is a term meaning "specific learning disabilities in mathematics". People with poor memory of all mathematical matters have many other symptoms and features. Generally, these coexisting states include so-called "dysplastic syndrome". Disk Clear is an MLD (mathematical learning disorder) affecting about 10% of the US population, but most people do not infect (sh Think of a world without mathematics. Of course, there is no TV, car, airline, mobile phone, computer, calculator, equipment etc. We will think about what is missing in our life without the help of this topic. Almost all of us, life is a disaster. Mathematics has brought major changes to humanity over the past several centuries. The motivation of mathematical invention is not imagination, but imagination. This is the imagination of a great mathematician who changed the world. There is no doubt that the contributions of other fields and scientists are unforgettable, but mathematical contributions will definitely cast shadows on at least some, if not some, but this is what we should consider . Then you will be able to understand not only the beauty of mathematics but also the power. If he does this, he will surely be filled with unparalleled scientific knowledge. Without mathematics, the world is incomplete as we have no buildings, no roads, no electricity, no science, no movement. A German mathematician, Carl Friedrich Gauss, called mathematics "queen of science". All other science without mathematics does not work. Therefore, without a clear understanding of mathematics, other science can understand and understand. As Plato suggests, is there a mathematical world that transcends ordinary reality? Or is mathematics a cultural composition? In this essay, we estimate the position of mathematical reality from the perspective of ancient meditation, psychedelic, and the mysterious cosmology of the fortune's tradition. "As Mandelbrot was able to access IBM's computer, Mandelbrot was one of the first people who created and displayed fractal geometric images using computer graphics and discovered Mandelbrot in 1979. Clouds and coastlines It is said that what is usually regarded as "rough", "chaotic", or "chaotic" is in fact a certain degree of order.

It consists only of prime numbers. For example, 29 + 6 = 35, which is 5? Similarly, 55 = 5 x 11, 161 = 7 x 23. Indeed, if you keep keeping enough distance, numbers will be included in the arithmetic sequence. This is relatively easy. It is not a prime number. But this By the way, if you replace "four" with "three" in question (1), the answer is as follows. Because 14? 8 = 35? 29, the reason for this is simple. Again, it is 5 - 3 = 29 - 27 etc. Let's call this set of four numbers a special quad. Number: {1, 2, 4, 6, 23, 29}. Let 's give a to it to help think about this collection. "Quiet" and "not too big" depend on my "man" concept. But, x + y and z + w Then, since x + y = z + w, x z = w y. In other words, we have four specials. In a sense, interest in the theorem For example, in the case of Euclidean expression, 63 is displayed as 3 x 3 x 7, 64 as 2 x 2 x 2 x 2 x. If you interpret it as two thirds of the number of n, you will not lose too much. In particular, if n is large, log n is much smaller than n. Split "Large", "Small", "Approximate" and so on. Same as Balog-Szemeretdi theorem Four 13 x 13 square grids are displayed, each square filled with squares. If most people are asked to rank four patterns in order of beauty (or if the graphic is too strong, This is important as it shows the beauty of pure mathematics. When I discussed the importance of mathematics with my husband - Yes, we did those conversations at home! - I have this beautiful equation reference. This proves that mathematics can become beautiful on its own without having to be a tool for science and engineering. That is how my aerospace engineer husband sometimes see it. I like that! This is a fascinating history that really started long ago. When you started to calculate, they developed the concept of 1 and 0 ... nothing. You can see the concept of their written form in ancient culture around the world. They are part of our existence. Without the concept of 1 and 0, even our recent history is impossible - this is the only number needed for computers! It is natural that most people do not know much about mathematics, and the relationship with mathematics is limited to four rules. This distance contrasts with the importance of mathematics in today's society. Mathematics is the center of our culture and its history is often confused with the history of philosophy. Just as cosmology and evolution theory had a considerable influence on the concept of man himself, non-Euclidean geometry made it possible for new ideas and mathematical logical theorems on the universe to clarify the limitations of the deductive method. There is also mathematics in art. The most famous mathematician Pythagoras found a musically harmonious digital reason, so the relationship between mathematics and art is eternal. These aspects of mathematics make them a bridge between the two cultures between humanities and natural sciences.

In 1970, only 9% of the work in the US was considered technically. As the world depends on technology, the demand for people who can think of in terms of abstract mathematical and scientific terms is increasing, and today the technology work occupies nearly one-third of all work . Since strengthening mathematical requirements and introducing highly risk test systems are trying to keep pace with the world's demands for increasingly competitive technology, mathematicians are relatively easy to acquire mathematics and mathematics There is a gap spread among disabled people. People can still succeed without achieving advanced skills in mathematics, but the lack of certain basic mathematical skills can greatly limit the possibilities of children. The following statistics show the reason and importance of early identification. Between the 1950s and the 1960s, the United States, under the driving force of the space competition with the Soviet Union, is a movement from everyday problem solving to focusing on abstract structures, patterns, and relationships "New Mathematics "was introduced. In the early 1980s, the school proposed mathematical graduation requirements and introduced a minimum competency test in response to government reports on the state of education entitled "Dangerous Country". In the late 1980s, the National Mathematics Teacher Committee revised the content and methodological criteria of mathematics education. At the same time, many schools employ standards-based testing and strict mathematics as part of their graduation requirements. Stricter mathematics graduation requirements generally have a positive influence - raising the overall level of math in the United States - many students do not graduate, or go on to university for them continue. This will have a big impact on the future of young people. For example, in 1997, typical college graduates earn 73% more than typical high school graduates. With the development in the past 30 years, the importance of mathematics has increased significantly in more and more occupations and daily life. Therefore, achieving mathematical literacy goals for all citizens has become a national priority. In today's word, mathematical literacy means that adults need to have a complex set of mathematical knowledge and skills that far exceeds the basic computing skills. Authors of everyday mathematics think that it is important to lay the foundation of mathematical literacy earlier than traditional courses. Based on research themselves and others and other supporting studies, the authors also believe that children can learn more than they had expected before. Mathematics is an important field of research. Mathematics is indispensable to acquire numerous skills in the real world, and indeed mathematics research itself contains concepts related to human daily life. It not only develops mathematical skills and concepts but also provides the opportunity to nurture attitudes, interests and appreciation and develop your own thoughts. Therefore mathematics is a field that you definitely need to understand and learn. Figure 1 clearly shows all the mathematical development skills. Mathematics begins with simple things and linear thinking, leading to more complex things and higher order thought skills. Mathematics has taken centuries to develop in its present form, it is the reason that understanding its development can be very productive.

When mathematical autobiography grades begin, laughter, smile, and confusion will occur. Students can find their friend's locker location and exchange schedule. Everyone wants to receive terrorist attacks and some lessons from them with their friends. Everyone around me is satisfied with their course, but I am not. My eyes are on my schedule and I can not believe it ... I see geometry. My heart began to beat and the nerve began to attack, my Julianna Tafuri had geometry ... the first thing in the morning. My name was Siti Rahmah, born in Jakarta on December 7, 1998. I studied at San Baolin University in the fall of 2016. My major is mathematics education. My hobby is to watch a movie, sometimes I like to write autobiography about my life. My dream is to be a teacher. I have several reasons to choose a teaching university, especially a mathematics teacher. I like to teach me to like children, the teacher is a very noble occupation. I dream of offering useful knowledge to others, and I know for others and can make changes. Other than that, I like mathematics. In fact, mathematics is an absolute absolute value, it is also used in all subjects and areas of life. Therefore, in the end I would like to choose mathematics education and teach mathematics well. In addition, I also saw that many children are not very interested in mathematics, so I feel that it is necessary to make them interested and let them continue trying mathematics . Traditional division of mathematics is pure mathematics, mathematical essential interests, applied mathematics, and mathematics can be applied directly to real world problems. This division is not always clear, and many subjects have evolved into pure mathematics to find unexpected applications in the future. Recently, there are widely disagreed opinions such as discrete mathematics and computational mathematics. With an ideal classification system, new fields can be added to the organization of prior knowledge, amazing discoveries and unexpected interactions are incorporated into outlines. For example, Langlands is planning to find unexpected connections between areas previously considered irrelevant, at least Galois, Riemannian aspect, and number theory. It is usually difficult to find the right mathematical problem than to find mathematical answers. The following is an extensive explanation of some of the things related to my own research, which is very exciting in today's pure mathematics and is called the principle of impossible crossing. Broadly speaking, the idea is that arithmetic and geometry should not interact in an unexpected way without justifiable reasons. Think about drawing graphics on an airplane. This is a lot of things to do at school. The points on these graphs have two coordinates, usually called x and y. When drawing a random graph (geometric object) on the plane there is no reason that many points on the graph will have x and y coordinates. Both are rational numbers (integer scores, arithmetic objects)

INTRODUCTION: Indians, especially Hindus, have not gained credit or recognition they deserve. Many of the basic concepts used in mathematics were originally discovered by Indian Indians. In this article I will discuss many of these concepts and how they were used in the 5th and 8th centuries. In addition to direct testimony about this point, the Hindu literature provides clear and undisputed evidence that ancient Hindus have amazing memories and thought concentrations. Since the most famous and important name of Indian mathematics comes from this age there are times of development of Indian mathematics that can be called classical times of Indian mathematics, and these mathematicians are science and I established India as a source of mathematics. As you can see in Albert Einstein's words, German scientists and humanists (1879-1955) of Kusumapuru and Uja near Patariatra became two mathematical studies. Center Aryabhata I am the leader of Kusumapura. One of Aryabhata 's findings is the technique used to solve linear equations of the form ax + by = c. Aryabhata designed a general way to solve such an equation. He called it Kuttaka (or shredder). Aryabhata's computational linear equation is because he is interested in astronomy. One of the other important contributions of Aryabhata is that he studies trigonometry by bringing Pie closer to the decimal point fourth (3.14146). For centuries, mathematics has played a very important role in the development and expansion of Indian culture. Mathematical ideas derived from the Indian subcontinent have had a major impact on the world. In ancient times, mathematics was mainly used to complement or practice roles. Therefore mathematical methods are used to solve astronomy and astrology architecture and architecture (such as the publication of the Heinpun civilization) and the construction of the altar of Veda (as in the case of Schuluba Strath). )). By the 6 th century BC or the 5 th century BC, research on mathematics itself and it may relate to knowledge of other fields. Indeed, no mathematics has been developed in the history of India, there is no era in people's lives.

George Boole is a mathematician as it already has such impact on the world. It became very common, so now it is taught in most school education over 9th grade. One thing he has by his law is common, associative, substitution, deMorgans, constant, variable. Born in the UK, I am passionate about mathematics and technology. Boeing discusses other findings of mathematics and science and spends most of his time at the Lincoln Mechanical Engineering Laboratory, a research consortium that is discussing. Bor's father eventually became the head of the institute. George Boole's work on generating mathematical logic for "Boolean Algebra" is the most important contribution to the development of computer technology. Let's take a quick look at how this amazing George Boule was born from an economically discreet family. It then changes the logic related methods that affect the concept of computing and processing. Also, for many years since his initial breakthrough in Boole's research, his work in algebra has transformed the ideas and symbols of logic sets, making binary codes and logical relationships a basic tool for the evolution of computer systems and networks It is. After science is acknowledged Before some creative genius applied them, George Boule's mathematical theory was basically sitting on a shelf for 100 years. Without Boole's record and proof logic, digital technology does not look like this. The majority of the technology we are enjoying today is caused by logic. Application of this technology must be regarded as true creativity. Symbolic logic is logic expressed in algebraic operations. Coincidentally, De Morgan and George Boole published a book on symbolic logic in 1847. Logical mathematical analysis of Bool clearly shows his view that the same algebraic coding scheme can express Aristotle if we change. However, his algebraic method is still inadequate as to the quantification, the logic of "all" and "some". The Boolean value also contributed to the algebraic basis of probability theory. In the case of George Boole, the founder of a logical algebra, you can exemplify the discovery of Leibniz's mathematical logic. In his 1847 booklet on his first book on logic, "mathematical analysis of logic", he made an algebraic interpretation of traditional logic. His reputation as one of the founders of modern logic dates back to his "study of thought rule" in 1854. According to Boolean's own assessment, his main innovation was the indexing method (1847), which was subsequently amended to "the law of two" (also called "law of Bol") to represent idempotence.

"I will discuss how faculty and teachers of the faculty of education interact, how to cooperate, provide opportunities to each student, achieve outstanding results in areas of interest, how to invest in teachers The overall success of each student, which is the difference between this course and the other course I participated or observed. " "My time in this project has exceeded my expectations, my professional skills have dramatically improved, compared with the WSU national conference and other graduate students in other social sciences, I I think we can keep keeping ourselves through the mighty preparation we have made so far. " Dr. mathematics and science education are aimed at nurturing scholars who can make an important contribution to the research foundation, special background and mathematics and / or learning environment related to science education. The main areas include student learning across the PK - 16 spectrum, teacher education, professional development, curriculum and skills. Applicants have advanced degrees in education, mathematics, science, technology or other relevant fields. In addition, they must accept 0 level GPA of 0 level and submit to the graduate school an online application including intention letters, three letters of recommendation, sentence samples, and a GRE score of less than seven years. All mathematics and science education major are graduate students. One of the graduates of science education has a master's degree in physics. One out of the remaining 10 undergraduates is a senior (4th grade), 5 are junior (3rd grade), 4 are 2nd grade. Six of registered 15 students have teacher qualification certificate. Physical inquiries provide kinematic modules including several laboratory experiments, such as rolling the ball over the tracks or observing the fan belts connected to the two pulleys. However, in these experiments it is not necessary to collect and analyze real-time data as an integral part of the build. What is mathematical modeling? Exploring future teachers uses experiments to link mathematics with sports research In the third summer, Mathematics and Science Education (MSED) held the Institute for Research Promotion Science Education (IAIBST). Hosted by Intel China, Beijing, and Norma University, this event is a two-week work focusing on scientific topics and their interaction with engineering, science education, scientific exploration and the essence of science It is a shop. MORE »Science learning patterns are changing. As information becomes easier, the learning environment is becoming more and more with the help of technology, and individuals have more education inside and outside the classroom. For example, manufacturers' movements help a wider range of individuals more easily acquire scientific and engineering behavior. More"

The history of numbers is not known at all compared to the history of other subjects and has not been overlooked but by developing a number by feeling a number different from the number of some animals we have today I feel it. After all, it is due to our scientific progress so far, and for scientific reasons, we have all the great inventions of today. From the beginning to before calculation, people have only basic "digital meaning". Other early cultures have also developed several mathematics. The ancient Maya had a local value system that was clearly zero before the Hindu did it; the Aztec architecture meant a practical geometric skill. Ancient China certainly developed mathematics Indeed, the first known evidence of the Pythagorean theorem was discovered in a Chinese book (Zhou Bi Shui Jing), probably written around 1000 BC. Thales is the head of the "seven wise men" of ancient Greece known as "father of science", "founder of abstract geometry", and "first philosopher". Thales is believed to study mathematics under the Egyptians, and the Egyptians now understand Mesopotamian's old mathematics. Thales may have invented the concept of compass and ruler construction Mathematics is an important field of research. Mathematics is indispensable to acquire a lot of realistic skills, and indeed mathematics research itself contains concepts related to human daily life. It not only develops mathematical skills and concepts but also provides the opportunity to nurture attitudes, interests and appreciation and develop your own thoughts. Therefore, mathematics is a subject that must definitely be studied and studied. Figure 1 clearly shows all the skills developed by mathematics. Mathematics begins with simple things and linear thinking, leading to more complicated and higher order thought skills. Mathematics took on centuries to develop in its present form. Therefore it is very productive to know that its development is very productive.

Earthquake: Mathematical Application The earthquake on October 13, 2010 caused a sense on the Norman campus of the University of Oklahoma, allowing students to take classes and sit in the middle of the calculus. An earthquake of magnitude 3 occurred 10 miles southeast of Norman and felt like North and Stillwater. For many students, the seismic activity in Oklahoma State is unknown, so a shock of a few seconds is an undiscriminable earthquake. Indeed, in Oklahoma there are many earthquakes almost every day, but usually it is not as strong as it feels. Applicable mathematics is a sub-field of applied mathematics, but there is no agreement on the exact definition. The term "applicable mathematics" is sometimes used to distinguish traditional applied mathematics developed using physics and many mathematical fields applicable today to real world problems . Mathematicians usually distinguish between "applied mathematics" on the one hand and "mathematical applications" or "applicable mathematics" inside and outside science and engineering on the one hand. Among mathematicians, this term also applies to mathematics, highlighting the separation or division of traditional applications from new applications that were previously considered pure mathematics. For example, from this point of view, ecologists and geographers applying known mathematics using demographic models do not apply, but they apply to mathematics. Applied mathematics is the application of mathematical methods in various fields such as science, engineering, business, computer science, industry. Therefore, applied mathematics is a combination of mathematical science and expert knowledge. The term "applied mathematics" also represents the occupational characteristics of mathematicians who solve practical problems by developing and studying mathematical models. In the past, practical use promoted the development of mathematical theory, then mathematical theory became the subject of pure mathematical research where studies of abstract concepts were done for them. Therefore, the activities of applied mathematics are closely related to research of pure mathematics.