國中資優數學中圓與多邊形相關問題創題之研究

本研究旨在探究國中圓與多邊形資優課程適用之幾何題型教材，並藉由創題提供符合國中數學資優生的學習需求的教材。故以國中數學領域課綱範圍為基礎，創造國中資優數學之圓與多邊形的教材，讓在教學現場的教師能以此教材引導資優生看見數學問題的本質，並藉由分析思路及多樣化的解題方法，培養學生思考的能力，希望能引起學生的學習興趣。大綱如下：一、國中資優數學教育之圓與多邊形的教材，能讓學生增加看見更廣更深的解題策略，並在解題的過程中，培養學生分析題目與多元思考的能力。二、研究者就「圓的基本線段及角度問題、圓與三角形、圓的面積問題、圓與四邊形、圓的對稱性」來做創題思解。

關鍵字

國中資優數學；圓；多邊形；創題

並列摘要

The purpose of this research is to explore the country in the relevant applicable circle with polygons geometry questions gifted curriculum materials, and create questions to provide the curriculum materials which correspond to the mathematically gifted junior high school students’ special learning needs. Based on Mathematics Learning Area in Grade 1-9 Curriculum, curriculum materials on the circle with polygons for these gift-ed students were created to make them see the essence of mathematics questions. In addition, the curriculum materials provided these gifted students with thread of thoughts of solving mathematics questions and various ways to solve mathematics questions, developed students' thinking ability, and further increased their interest in learning mathematics. The contents in brief are as follows: 1. The teaching materials of circle with polygons allowing students to increase contact with a broader and deeper problem solving strategies in solution. The the process of solving questions, develop their ability to analyze questions and pluralistic thinking. 2. The researchers divided the questions " the questions of circle with the relevant lines and angles, circle and triangles, the questions of the areas with circle, circle and quadri-lateral, the symmetry of circle "do create problems thinking solution.