國中數學教師甄試-機率統計試題之研究

本篇論文主要針對國中數學教師甄試題目中，有關機率統計解題方法之研究。機率和統計在國、高中課程越來越佔有一席之地，往往一位好的教育者必須去演練很多題目，讓自己沒有盲點，也才能彌補自己所學的不足。機率統計題型我們提供了許多研究主題: 排列組合、遞迴法、分割法、機率及其分佈與期望值、敘述統計、聯集與獨立、條件機率、利用生成函數求期望值及變異數等之解題技巧及思考模式。大多數的題目都能以先前的知識及經驗隨之解決，但有些題目也可藉由本論文所著重的思維模式之訓練而加以解決。在完成本論文的研究過程中，我獲得不少有關機率統計這方面的相關知識，對很多特殊的解法及想法也有更進一步的認識，不僅如此，也提升了自己數理方面的能力。我發現其實題目並沒有我們想像中的困難，其解法也都有脈絡可循，只是需要一些經驗來輔助思考，而完成本論文所獲得的解題經驗，都將成為我在未來教學時，教導學生的一大助力。

關鍵字

機率統計；數學教師甄試

並列摘要

The main purpose of the thesis aims to study the solution of probability statistics in Assessment of Teacher for Junior High School. Probability and statistics play a dominating role in the curricula of junior and senior high school. A good educator have to do many exercises to compensate for his or her deficiency. The mode on probability statistics offers us varieties of research themes and some techniques to solve the exercise and thinking mode, such as permutations, recursive method, segmentation method, and its probability distribution and expectation, descriptive statistics, union and independence, conditional probability, using the generated expectation and variance function evaluation. Most of the exercises can be solved. A few exercises can also be solved by means of this thinking mode. In the process of doing this thesis, I obtained lots of knowledge and had more understanding of probability statistics, and have a better understanding of many special solutions and ideas. Besides, this also enhances my ability in mathematics. Some exercises are not difficult as we previously thought. It also offers numerous thinking modes to teach students how to solve exercises on probability statistics. The experience of solving the problems obtained in this paper will become a great help for teaching students to me in the future.