中區高中教甄試題－解題之迷思與探討

本研究旨在解決高中生的數學解題學習需求，提升學生在解題的能力。故以高中數學領域課綱範圍為基礎，編寫高中數學之教材，讓教師能藉由教材使學生能體會到數學問題的思考解題策略，在驗證答案的過程中，培養學生分析思考的能力。大綱如下：研究者就高中課程內容，包含數列、級數、方程式、不定方程、整數論、多項式、根與係數關係、二次函數、、排列組合、機率與統計、三角、向量、斜座標、幾何、柯西不等式、算幾不等式、極值問題、圓錐曲線、矩陣與行列式、微積分等…為基礎，進而統整高中數學教師甄試數學之試題，提高學生思維訓練，在驗證答案的過程中，培養解題的能力。

關鍵字

高中教甄

並列摘要

This research aims to solve the learning needs of high school students in solving mathematics problems and improve their ability in problem-solving. Therefore, based on the syllabus of high school mathematics, compile high school mathematics textbooks, so that teachers can use the textbooks to ena-ble students to experience the thinking and solving strategies of mathematical problems, and cultivate students' analytical thinking skills in the process of verifying answers. The following is the outline: The researcher arranged the following high school courses including polynomials、including the number of columns、series、permutations and combinations、probability and statistics、vectors、matrices and determinants、conic sections、trigonometry、calculus symmetry equation、equation、integer theory、the relationship between roots and coefficients、quadratic function、few count inequality、extreme value problems、… as the basis, and then in-tegrate high school mathematics teachers to test mathematics test questions, improve students' thinking training, and cultivate in the process of verifying answers The ability to solve problems.