國中數學教師甄試- 代數方法之研究

本篇論文主要針對國中數學教師甄試題目中, 有關代數題型解題方法之研究。我們提供了許多方法分為: 變數套入法、代入法、歸納法及類比法、還原及拆開配對法、轉化法、基礎題及圖解法等之解題技巧及思維模式。大部份的題目都能迎刃而解, 但少部份題目也可藉由此思維模式訓練而加以解決。在此研究過程中, 我獲得不少知識, 對代數這方面有更多的認識, 並提升了自己的能力。對於往後在教學中如何詮釋及教導學生, 更是獲益良多, 也讓我學會如何做好一個學以專精的數學教師。

關鍵字

代數方法；數學教師甄試

並列摘要

The purpose of the study aims to figure out various approaches of solving algebra questions on high school math teacher screening test.Several problemsolving techniques and thinking models have been adopted. They are known as variable substitution, algebraic substitution, mathematical induction, analogy reduction, Dismantling pairing, transform, fundamental practice and diagram. Most of the questions can be solved without any hesitation. However, certain questions can be finally figured out by these thinking models. In formulating the questions and answers, it is possible for teachers to enhance their teaching ability. Moreover, it provides better understanding for students. It is expected that the research on the problem-solving methods will bring positive mathematical learning for both teachers and students.