- 學位論文
二項分佈與常態分佈在生活問題上之應用
The Application of Life Problems in Binomial and Normal Distribution
摘要
本研究主要是以高中數學領域課綱範圍為基礎，彙整各家出版社所編制高中數學之二項分佈與常態分佈的教材，讓教師能藉由教材使學生能體會到數學問題的本質，依據題目在生活中的應用，提升學習興趣。研究結果如下： 一、高中數學教育之二項分佈與常態分佈的教材，能讓學生不斷思考解題策略，在驗證答案的過程中，培養其分析圖形與多元思考的能力。 二、研究者就「白努利試驗、二項分佈、常態分佈、標準常態分佈、中央極限定理、68─95─99.7規則、信賴區間與信心水準」來做思維統整。 三、根據統整後的教材，分析題目應用於何種生活實例，依照題目性質自訂分類名稱，將相似題目歸納在一起，題目的應用最常以學生的成績、工廠的產品及各項物品的 命中率作為軸心思想。
並列摘要
This study is based on the range of high school mathematics, aggregated binomial and normal distribution of high school mathematics teaching materials, so that teachers can help students to understand of the mathematical statistics problems. The results are as follows: 1. The teaching materials in the present study provided students with different strategies and techniques to solve mathematics questions. 2. The study of the " Bernoulli trials, binomial distribution, normal distribution, standard normal distribution, central limit theorem, 68─95─99.7 rules, confidence intervals and confidence levels " help us to deal with the relative problems in the life. 3. According to the integration of teaching materials, analysis, based on the problems in life. Mose applications are in the counting of students grades, products of factory and so on.