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  • 學位論文

高中教甄題目思路之研究

Senior High School Teach Validation Test-Myths and Discuss of Problem Solving

指導教授 : 王牧民

摘要


本研究旨在探討高中職教師甄選數學試題解題的重要觀念、解題技巧及各校試題題型。歸納各年度考題的趨勢,可分析各高中甄選數學教師時較偏重的數學能力,從此得知目前高中學生在數學領域所學習的單元重點,可藉此讓數學老師參考自身所該加強的數學能力為何,隨著教師更充裕的準備,也能帶給學生助益,提升學生對數學學習的興趣。大綱如下: 一、針對高中教甄試題進行試題之分析及探討,提出解題的技巧及觀念。 二、研究者就高中課程內容,包含數與式、多項式、柯西不等式、算幾不等式、數列、級數、排列組合、機率與統計、三角、向量、幾何、矩陣與行列式、圓錐曲線、微積分等來做思維統整。

並列摘要


The purposes of this study are to explore the important concepts for problem-solving, problem-solving skills, and types of mathematics items for recruitment and assessment of teachers for senior high school. Besides, through summarizing the trend of items of each year for recruitment and assessment of teachers for senior high school, we can analyze what are the crucial mathematics abilities of teachers when recruiting mathematics teachers. Therefore, we can learn what are the itical units of mathematics learning for the curre high school students. Moreover, mathematics teachers can benefit from this study from which they understand what mathematical abilities they have to enhance. With well preparation, teachers can not only help students in mathematics but also increase their interests in mathematics learning. The contents in brief are as follows: 1. The teacher validation test questions to be discussed, ask questions and ideas for problem solving. 2. Researchers on the the high school curriculum, including integer theory, equation, polynomials , Cauchy inequality, few count inequality, the number of columns, series, permutations and combinations, probability, statistics, trigonometry, vectors, oblique coordinate geometry , matrices and determinants, conic sections, calculus… to do thinking integration.

參考文獻


中文部分
教育部(2014)。十二年國民基本教育課程綱要總綱。網址:https://www.naer.edu.tw/files/15-1000-7944,c639-1.php?Lang=zh-tw
Polya, G.著。蔡坤憲譯(2009)。怎樣解題。台北:天下文化。
張幼賢(2003)。數學解題。網址:http://math.ntnu.edu.tw/~changyh/Problem%20Solving%20in%20Math_1.pps
林福來、陳順宇、陳創義、徐正梅、許清土、林信安等(2010)。普通高級中學數學第一冊。台南市:南一書局。

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