國中資優數學幾何多樣思路之研究

本研究旨在國中數學領域課綱範圍為基礎，目標為增進國中學生利用圖形加強邏輯思考的判斷與想法。研究主要以蒐集、整理、解析相關試題，並提供給學生多樣思路的解題方法，藉此讓學生對數學問題有更深層的思維，了解到其本質上之多樣性，活化並刺激學生的學習。本研究經文獻探討及試題分析得到以下結論：一、國中資優數學之幾何多樣思路，能使學生從不同層面分析解題，進而培養國中學生多向思考的能力。二、研究者所提出的解題思路與結論整理如下： (1)多方思考並嘗試根據題意作圖。 (2)輔以先前所學之概念，試作輔助線協助解題。 (3)分析圖形與數學思維相融合，為學習此單元成效之關鍵。 (4)提升學生對於問題的解決能力，同時也是提升學習的興趣與信心。

關鍵字

幾何,多樣思路

並列摘要

This study is based on the scope of the curriculum area for mathematics in the country and aims to increase the use of graphics for students in the country.Strong logical thinking judgments and ideas. The research mainly collects,collates and analyzes related questions and provides them to learn Students’ various thinking methods are used to solve problems in thematics, so that students can have a deeper understanding of mathematics problems and understand their essence.On the diversity, activate and stimulate students' learning. This study has reached the following conclusions through literature review and analysis of test questions: I. The geometry and diverse ideas of gifted mathematics in the country can enable students to analyze problems from different levels and cultivate countries. Middle school students' ability to think more. II. The researcher's ideas and conclusions are as follows: (1) Think in multiple ways and try to plot according to the questions. (2) Assist with the previously learned concepts and try to assist the problem by assisting the line. (3) The integration of analytical graphics and mathematical thinking is the key to learning the effectiveness of this unit. (4) Improve students' ability to solve problems, but also enhance their interest and confidence in learning.