本研究之目的是藉由99高中數學課程綱要之分析，並輔以繪製概念圖，來呈現現行高中各版本數學教科書中，排列組合單元之教材結構，以及排列組合單元教材與高中數學課綱相對應結果。本研究以概念圖為工具，對現有101學年度A、B、C、D四個版本，高中數學排列組合單元的教材內容進行內容分析，其研究結果如下：一、各版本排列組合教材結構之概念呈現順序、內容有些不同，但都是依循符合邏輯思維的順序，概念由低層次循序漸進至高層次概念介紹與學習，其共同概念比例佔高中排列組合相關概念高達約百分之八十六。二、在各版本排列組合教材結構中，教材內容大部分符合99高中數學課程綱要規範編寫而成之教材內容，各版本共同皆有排列組合單元核心概念外，其餘各版本各自補充的概念皆各有所長。最後根據研究結果，分別對高中數學排列組合單元之教材內容、教科書編寫和使用，以及未來研究排列組合相關問題等，提供建議供參考之用。 The purpose of the reseach is based on an analysis of the course content from mathematics textbooks of year 2012. This paper contends concept maps to illumimate the differences among current versions of texbook in terms of permutation and combination. Based on concept maps, the research conducts an analysis of the permutation and combination.teaching material from textbook versions of A, B, C, D in year 2012. Following are results of the analysis :Among these four versions of mathematics textbooks, diversities are found in the display of the content and sequence regarding the concept of permutation and combination; howver, the contents are all logically arranged. In other words, the concept of permutation and combination is introduced to students from elementary to advanced level. In addition, 86% of the concept of permutation and combination introduced in these four versions is similar. In terms of concept introduction and content arrangement, these four versions of textbook comform to the requirement of 99 curriculum, and further they all stand out with their supplement concept. The research result can be used as references for future textbook arrangement or revelent research field regarding permutation and combination.
