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題名:九年一貫課程小學幾何教材內容與份量之分析
書刊名:國立臺北教育大學學報. 數理科技教育類
作者:莊月嬌張英傑
作者(外文):Chuang, Yueh-chiaoChang, Ing-jye
出版日期:2006
卷期:19:1
頁次:頁33-66
主題關鍵詞:九年一貫暫行綱要教科書幾何教材內容分析法Textbooks of the provisional guidelines in the nine years curriculumGeometrical materialsContent analysis
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  • 被引用次數被引用次數:期刊(8) 博士論文(0) 專書(0) 專書論文(0)
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本研究旨在探討九年一貫數學領域課程暫行綱要實施後,各版本教科書中小學幾何教材內容與份量的差異。本研究將國小幾何教材分為「形體外觀之辨識與建製」、「形體組成要素之辨識、發現與應用」、「形體性質之探究並運用其性質解題」、「形體之切割、重組與變換」、「空間概念」等五大類目。主要研究結果如下: 一、各版本幾何教材的份量,不論以頁數、授課節數或是類目來計算,經百分比間同質性考驗來後,均顯示有差異,其中以「形體外觀之辨識與建製」類目的教材份量差異最顯著。若單以數量來看,授課節數之差異最大,乙版本的授課節數僅為甲版本的60.53%。 二、各版本幾何教材內容均重視「形體性質之探究並運用其性質解題」與「形體組成要素之辨識、發現與應用」,分別佔幾何教材的30.20%~38.14%與24.58%~30.20%,合乎van Hiele的幾何思考模式與幾何教材的設計原則。 三、各版本均缺乏空間視覺化的教材,僅列有柱體與錐體的展開圖與視圖部分,佔幾何教材的3.67%~9.69%。應加強空間視覺化之教材,以提升學童之空間能力。
This paper aims to explore the difference in content and quantity between the four sets of textbooks for the elementary school geometry course after the practice of the provisional guidelines in the nine years curriculum. This paper tends to group the elementary school geometry into five categories: A. The organization and constructional analysis between figure and structure. B. The identification, discovery, and application of the constructional elements between figure and structure. C. The study of the characteristic of figure and its application to problem solving. D. The dissections, reorganization, and transformation of figure. E. The spatial concept. The study adopted the method of content analysis to analyze the teaching materials of every textbook. It is found that there are various textbooks for one principle, and every textbook varies from each other. The main findings of the study are as follows: 1. Vast differences in the amount of the geometrical teaching material, including the pages, numbers of teaching period, and categories, are found. The most noticeable differences among these textbooks are the numbers of teaching periods, i.e. the teaching period of the textbook B is only 60.53% of the textbook A. 2. The content of the geometry textbook that pays great attention to the study of the characteristics of figure and the application of these characteristics to problem solving is between 30.20% and 38.14%; the discovery, application, and recognition elements of figure formation is between 24.58% and 30.20%. These are in accordance with van Hiele’s Development Theory of Geometry and with the designing principles in geometric teaching material. 3. All the textbooks that are short of spatial concepts with only the cylindrical and conical surfaces are between 3.67% and 9.69%. It is essential to strengthen the teaching materials of spatial visualization in the textbooks in order to promote the ability of students’ spatial visualization.
期刊論文
1.左台益(2002)。van Hiele 模式之國中幾何教材設計。中等教育,53(3),44-53。new window  延伸查詢new window
2.吳德邦、謝翠玲(1998)。根據 van Hiele 理論來探討國小數學實驗課程之幾何教材。中師數理學報,2(1),20-61。  延伸查詢new window
3.林秀瑾、張英傑(2005)。台灣地區三十年來國編版小學幾何教材內容範圍分析研究。國立臺北師範學院學報,18(2),65-92。  延伸查詢new window
4.劉好(1995)。國小數學新課程「立體圖形」之教材教法設計理念。國教輔導,35(1),5-12。  延伸查詢new window
5.Orton, R. E.、Pandiscio, E.(1998)。Geometry and metacognition: An analysis of Piaget´s and van Hiele´s perspectives。Focus on Learning Problems in Mathematics,20(2/3),78-88。  new window
6.Carroll, W. M.(1998)。Geometric knowledge of middle school students in a reform-based mathematics curriculum。School Science and Mathematics,98,188-97。  new window
會議論文
1.謝豐瑞(2001)。數學課程發展的延續與改革--九年一貫代數能力指標之編排想法。九年一貫課程學習領域研討會。  延伸查詢new window
2.譚寧君(1995)。國民小學數學課程幾何教材分析研討。八十三學年度國民小學新課程數學科研討會。台北:台灣省國民學校教師研習會。47-57。  延伸查詢new window
3.Van den Heuvel-Panhuizen, M.(2000)。Mathematics education in the Netherlands: A guided tour。ICME9。Utrecht University。  new window
研究報告
1.吳德邦(2004)。使用 VAN HIELE 五階段學習模式開發九年一貫課程第一階段圖形與空間教材教法之詮釋性研究 (計畫編號:NSC 92-2522-S-142 -004)。台北市。  延伸查詢new window
學位論文
1.莊月嬌(2005)。九年一貫課程小學幾何教材內容分析研究(碩士論文)。國立臺北師範學院,臺北。  延伸查詢new window
2.黃盈君(2000)。國小五年級學生三角形圖形概念之分析研究(碩士論文)。國立台中師範學院。  延伸查詢new window
3.廖婉琦(2004)。台灣82年國編版數學教科書與美國EverydayMathematics之內容分析比較研究:以幾何教材為例(碩士論文)。國立台北師範學院。  延伸查詢new window
4.高新建(1991)。國小教師課程決定之研究(碩士論文)。國立臺灣師範大學,台北市。  延伸查詢new window
圖書
1.教育部(1976)。國民中小學課程標準。台北:正中書局。  延伸查詢new window
2.楊孝濚(1979)。傳播社會學。台北:聯經出版社。  延伸查詢new window
3.教育部(2003)。92年國民中小學九年一貫課程綱要數學學習領域。台北:教育部。  延伸查詢new window
4.楊孝濚(1994)。傳播研究方法總論。台北:三民書局。  延伸查詢new window
5.鍾靜、張英傑(2002)。國民中小學九年一貫課程補充說明。台北:國立台北師範學院數理教育研究所。  延伸查詢new window
6.Van de Walle、張英傑、周菊美(2005)。中小學數學科教材教法。台北市:五南。  延伸查詢new window
7.Department for Education(1995)。Mathematics in the national curriculum。London:HMSO。  new window
8.教育部(2001)。國民中小學九年一貫課程暫行綱要(數學學習領域)。臺北:教育部。  延伸查詢new window
9.教育部國民小學課程標準編輯審查小組(1993)。國民小學課程標準。臺北市:台捷國際文化實業股份有限公司:教育部。  延伸查詢new window
10.National Council of Teachers of Mathematics(2000)。Principles and standards for school mathematics。Reston, Virginia:National Council of Teachers of Mathematics。  new window
11.National Council of Teachers of Mathematics(1989)。Curriculum and evaluation standards for school mathematics。Reston, VA:National Council of Teachers of Mathematics。  new window
12.van Hiele, Pierre M.(1986)。Structure and Insight: A Theory of Mathematics Education。Academic Press。  new window
13.王石番(1991)。傳播內容分析法--理論與實踐。台北:幼獅文化。  延伸查詢new window
其他
1.張英傑,陳創義(2003)。九年一貫數學學習領域綱要諮詢意見--幾何篇,教育部九年一貫數學學習領域綱要諮詢意見小組。,http://www.math.ntnu.edu.tw/~cyc/_private/mathedu/me9/nineyear/, 2004/09/28。  延伸查詢new window
圖書論文
1.黃政傑(1989)。美國中小學教科書問題的檢討。各國教科書比較研究。台北:台灣書店。  延伸查詢new window
2.劉好(2000)。平面圖形教材的處理。國民小學數學科新課程概說(高年級)。台北:台灣省國民學校教師研習會。  延伸查詢new window
3.劉好(1994)。國民小學數學科新課程中幾何教材的設計。國民小學數學科新課程概說(低年級)。台北:台灣省國民學校教師研習會。  延伸查詢new window
4.Crowley, M. L.(1987)。The van Hiele model of the development of geometric thought。Learning and teaching geometry, k-12, 1987 Yearbook of the National Council of Teachers of Mathematics。NCTM。  new window
5.歐用生(1991)。內容分析法。教育研究法。臺北:師大書苑。  延伸查詢new window
6.Clements, D. H.、Battista, M. T.(1992)。Geometry and spatial reasoning。Handbook of research on mathematics teaching and learning。Macmillan publishing Company。  new window
 
 
 
 
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