Problem solving in mathematics is important because children need to apply learning methods to their daily situation and transfer them. It is important to deduce what algorithms the children need in a particular situation. In addition to getting the right answer, the way to solve the problem (NCTM, 1989) is a basic technique. In addition, NCTM (1980) recognizes that solving educational problems in children develop skills and knowledge used in everyday life, thereby cultivating students' spirit of inquiry, tenacity and acceptance There.
Solving the problem is an important reason to learn mathematics. Teachers should use mathematics as a process of identifying, exploring, solving problems, developing new knowledge and building mathematical knowledge bases. Hidden Abstract Conceptual Knowledge and Algorithmic Methods for Problem Solving are not Sufficient. Teachers should be experienced in creating mathematical understanding. The knowledge gained in this way will help to simulate the ability of them to solve the problem and to create a learning experience for the students so that they can become problem solvers.
The teacher regards mathematics as a dynamic process that develops new understandings to identify problems, explore, solve, and build mathematical knowledge bases. They understand that solving problems, communicating, inferring, and building relationships is a link between knowledge mathematics and mathematics. Teachers understand that their perception of mathematics is shaped by the society they live in. The mathematical worldview depends on our cultural experience. It is determined from the perspective of language, culture and environment. The teacher makes each student have a fundamental mathematical world view different from other students based on family language and cultural background so that all students can build their own mathematical world view I will.
Teachers respect problem solving and reasoning as the basis of mathematical questions, ask questions, challenge each student's thinking tasks, and formulate problem formulas as a way to encourage critical thinking and problem solving We use various educational strategies such as conversion. Based on the content, purpose of teaching and student needs, change roles in the teaching process, decide when to provide information, when to clarify problems, when to make students hard. In the classroom of mathematics, students rely on mathematical evidence and argument to begin questioning, propose guesses, propose solutions, explore examples and counter-examples to investigate guesses, and to determine validity. Think in mathematics