| Summary: | 碩士 === 中原大學 === 應用數學研究所 === 102 === The aim of this research is to explore the mathematics teaching theories. With applying to these theories, the researchers take advantage of Geography, named ‘Quadrilateral Inscribed in a Circle’ to create question solving design for the purpose of making students understand the learning concepts of Geography. Moreover, by means of literature review, understanding students' learning problems are capable of help the researchers to build new teaching materials
Most educators as well as teachers think people must learn knowledge step by step, and mathematics is no exception. As a result, this teaching material is also based on this principle. By doing so, students are able to realize the concepts of ‘Quadrilateral Inscribed in a Circle’ so that they can fully utilize it to understand the meaning of the question itself.
The purpose of this research is to analyze and integrate every version of textbooks into a brand new teaching material, which can be provided for teachers for reference. This research is divided into four parts:
1. Introduction
2. Literature Review
3. Problem-Solving Strategies
4. Discussion and Results
Since the teaching materials are not provided by NICT, teachers can choose different teaching materials . Teachers must adjust students' learning progress via their levels. Students learned with the basic concepts of graphs initially before learning with the cyclic quadrilateral in the geometry. The method helped students to make significant progress from learning with basic concepts to advanced concepts. The present study investigated the students' thinking models involving in geometry and analyzed their problem-solving strategies of the cyclic quadrilateral.
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