Questioning Strategies to Improve Understanding of Conic Sections in Math Class

Data is gathered to analyze how to use the question strategy throughout the class environment and how these strategies can improve students' understanding of conic curves. This lesson is a videotape recorded on the 2 day school day. In the second survey, part of video recording on the first day showed the interaction between the student and the teacher. This was the first analysis of the data. In this part, the teacher instructs the students to find circle equations.

The conical part is the curve created by the intersection of the cone and the plane. There are mainly three types of conic curves. It is an ellipse (including a circle), a parabola, and a hyperbolic curve. The cone section was discovered by Menaechmus (380 BC - 320 BC) and since processing of conic curves is equivalent to processing each equation, they are cubic equations and other higher order equations and geometries Equally. . Menaechmus knows that the equation y 2 = l x holds for a parabola. Here l is a constant called the rectal rectum but I do not notice that neither of the two unknowns decide the curve. He obviously also had these properties of conic and other curves. Using this information, we can solve the cube iteration problem by solving the point where the two parabolas intersect.

The cone section is the intersection of the cone with the equation and the plane. In other words, in space, all cones are defined as plane equations and are defined as solution sets of the previously given conic equations. With this formalization, we can determine the position and nature of the conic focal point. With equations you can call many mathematics to solve geometric problems. When a number is converted to an equation, the Cartesian coordinate system converts geometric problems into analytic problems and is therefore called name resolution geometry. This view, as outlined by Descartes, enriches and changes the types of geometry figured out by ancient Greek mathematicians.

Cubic equations are solved geometrically by determining the intersection of the conical parts. Archimedes' problem of dividing a sphere into two sections at a defined ratio is first represented by Al Mahani as a cubic equation and the first solution is given by Abu Gafar al Hazin. The determination of a regular heptagon that can be scored or defined on a given circle is a more complicated equation. This is the first successful solution for Abul Gud.