德國ＧＥＩ年度數學教科書之分析：以數學溝通能力檢視一年級教科書小組學習活動

Textbook Analysis of the GEI “Textbook of the Year” in Germany - Review the First-Year Textbook Group Learning Activities with Mathematics Communication Skills

本文旨在分析德國GEI年度優良教科書及臺灣2019課綱的一年級數學教科書，比較德國與臺灣教科書之「小組學習活動設計」涵蓋溝通能力之情形，本研究所指的溝通能力為德國巴登─符騰堡邦數學課綱之五項溝通能力內涵，並據此設計「溝通能力分析項目表」，分析單位為教科書之「小組學習活動」，計算其符合各項溝通能力內涵之比例。研究結果顯示：（一）分析五項溝通能力內涵個別單一項目，德國教科書涵蓋溝通能力內涵之比例皆高於臺灣教科書；（二）臺灣教科書涵蓋不同溝通能力內涵的高低比例依序為：「描述自己的想法和思緒」、「正確使用數學術語與符號」、「理解他人的看法及觀點」、「統整自己與他人的想法」；（三）「同時涵蓋全五項溝通能力內涵」之統整自己與他人的想法，德國教科書比臺灣多出兩成以上。文末針對教科書編寫者、教育工作者及未來的研究者提出相關的建議，希冀本研究結果與建議能對數學的教科書設計與編輯，及數學教學有所助益。

"The aim of this study is to analyze the mathematics GEI “Textbook of the Year” in Germany and the mathematics textbooks based on curriculum guidelines of 12-Year basic education. The unit of analysis is “group learning activity” in textbooks. The quantitative part of this study is based on the number and proportion of group learning activities, which meet up communication skills in textbooks, and the qualitative part is focused on the comparative analysis of the group learning activities, which meet up all 5 communication skills in the same unit between German and Taiwan mathematics textbooks. The results of this study found: (1) The proportion of group learning activities, which meet up with each communication skill in German textbooks is higher than the proportion in Taiwan textbooks. (2) The three communication skills 'Describe your own thoughts and thoughts', 'use mathematical terms and symbols correctly', 'understand the views and opinions of others', are more higher than 'integrate your own and others' thoughts' in Taiwan textbooks (3) All 5 communication skills in German textbooks is higher than the proportion in Taiwan textbooks. This study hopes that the results and recommendations can help mathematics textbook design and edition, as well as mathematics teaching in the future, thus, the researcher makes some suggestions for textbook writers, educators in schools, and future researchers."