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題名:國小數學教科書代數教材之內容分析:臺灣與香港之比較
書刊名:教育實踐與研究
作者:徐偉民 引用關係徐于婷
作者(外文):Hsu, Wei-minHsu, Yu-ting
出版日期:2009
卷期:22:2
頁次:頁67-94
主題關鍵詞:內容分析法代數教材國小數學教科書Content analysis methodAlgebraic materialElementary mathematics textbook
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(15) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:8
  • 共同引用共同引用:1496
  • 點閱點閱:55
本研究旨在探討台灣和香港國小數學科教科書,在代數教材上呈現的異同。研究對象為台灣九年一貫課程康軒版數學、香港廿一世紀現代數學教科書。本研究採用內容分析法,依研究者自訂之內容分析類目,來分析代數教材的主要概念分布情形,進而探討兩地代數教材所呈現的特色。研究發現,在代數整體目標方面,兩地教材目標都強調代數的基本概念的建立和未知數符號的認識與應用;在代數概念呈現方面,台灣以螺旋式呈現,同一概念在不同年級反覆出現,而香港採用主題式獨立呈現,代數概念在不同年級分開呈現。從教材內的布題來看,兩地代數布題比例最高的是「關係式和方程式」,其次是「代數基本概念」,但是「未知數的進階表徵」這部分台灣所佔的比例很低,香港則完全放在增潤單元中。
This study was to explore how algebra materials were presented in the elementary mathematics textbooks in Taiwan and Hongkong. Kang-Hsuan version of mathematics textbook for 9 year compulsory education in Taiwan, and 21 century modern version in Hongkong were analyzed through content analysis. Analytic categories were designed to analyze the distribution arrangement of algebraic concepts between the two versions of math textbooks. This study found that although algebra contents are presented differently between the two versions, the overall teaching goals of the algebra content are similar: both emphasized the concepts of “building basic algebra concepts”, and “understand and apply symbols of unknown quantity”. There was a different arrangement of algebra concepts: Taiwan adopted a spiral method and integrated with number as a unit, whereas Hong Kong adopted a thematic method and presented independent unit of algebra. The presentation and arrangement of algebra concepts were mostly consistent with the teaching goals set by the two countries. According to statistical results of category counting, “relation and equation”, and “basic algebra concepts” algebra contents occurs most often in both versions of the elementary mathematic textbooks.
期刊論文
1.Raymond, A. M.、Leinenbach, M.(2000)。Collaborative Action Research on the Learning and Teaching of Algebra: A Story of One Mathematics Teacher's Development。Educational Studies in Mathematics,41(3),283-307。  new window
2.Lloyd, G. M.(2008)。Curriculum use while learning to teach: One student teacher's appropriation of mathematics curriculum materials。Journal for Research in Mathematics Education,39(1),63-94。  new window
3.Tarr, J. E.、Reys, R. E.、Reys, B. J.、Chávez, Ó.、Shih, J.、Osterlind, S. J.(2008)。The impact of middle-grades mathematics curricula and the classroom learning environment on student achievement。Journal for Research in Mathematics Education,39(3),247-280。  new window
4.莊月嬌、張英傑(200603)。九年一貫課程小學幾何教材內容與份量之分析。國立臺北教育大學學報. 數理科技教育類,19(1),33-66。new window  延伸查詢new window
5.鍾靜(20050500)。論數學課程近十年之變革。教育研究月刊,133,124-134。new window  延伸查詢new window
6.Nicol, C. C.、Crespo, S. M.(2006)。Learning to teach with mathematics textbooks: How preservice teachers interpret and use curriculum materials。Educational Studies in Mathematics,62(3),331-355。  new window
7.Billings, E.、Tiedt, T.、Slater, L.(2007)。Research, Reflection, Practice: Algebraic Thinking and Pictorial Growth Patterns。Teaching Children Mathematics,14(5),302-308。  new window
8.Sfard, A.(1995)。The Development of Algebra: Confronting Historical and Psychological Perspectives。Journal of Mathematical Behavior,14,15-39。  new window
9.Suh, J. M.(2007)。Investigations: Developing "Algebra-rithmetic" in the Elementary Grades。Teaching Children Mathematics,14(4),246-252。  new window
10.Usiskin, Z.(1997)。Doing Algebra in Grades K-4。Teaching Children Mathematics,3,346-348。  new window
學位論文
1.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
2.吳麗玲(2006)。台灣、美國與新加坡國小五、六年級分數教材內容之分析比較(碩士論文)。國立嘉義大學。  延伸查詢new window
3.施東吉(2005)。以情境測驗探究學童在一元一次方程式概念發展之趨勢。  延伸查詢new window
4.謝和秀(2001)。國一學生文字符號概念及代數文字題之解題研究。  延伸查詢new window
5.謝孟珊(2000)。以不同符號表徵未知數對國二學生解方程式表現之探討。  延伸查詢new window
6.羅榮福(2003)。國民中學學習障礙學生與普通學生解一元一次方程式問題之比較研究。  延伸查詢new window
7.饒育宗(2008)。九年一貫數學領域電腦診斷測驗系統開發與應用:以屏東縣七年級學生為例。  延伸查詢new window
圖書
1.Becker, J. P.、Selter, C.(1996)。Elementary School, Practices。International Handbook of Mathematics Education。Netherlands:Kluwer Academic。  new window
2.Lott, J. W.、Souhrada, T. A.(2000)。As the Century Unfolds: A Perspective on Secondary School Mathematics Content。Learning Mathematics for a New Century。Reston, VA:NCTM。  new window
3.香港教育署(1999)。亞洲及西方各主要國家及地區的數學課程比較研究。香港:香港教育署。  延伸查詢new window
4.王文科(2002)。教育研究法--教育研究的理論與實際。台北:五南。  延伸查詢new window
5.National Council of Teachers of Mathematics(2000)。Principles and standards for school mathematics。Reston, Virginia:National Council of Teachers of Mathematics。  new window
6.王文科(1994)。教育研究法。臺北市:五南圖書出版股份有限公司。new window  延伸查詢new window
7.National Council of Teachers of Mathematics(1989)。Curriculum and evaluation standards for school mathematics。Reston, VA:National Council of Teachers of Mathematics。  new window
8.林美如、徐偉民(2007)。中國與臺灣小學教科書幾何教材之分析。課程與教學2007 年年刊:教科書制度與影響。臺北:五南。new window  延伸查詢new window
9.(2006)。數學五,上。數學五,上。臺北。  延伸查詢new window
10.Grouws, D.、Smith, M.、Sztajn, P.(2004)。The Preparation and Teaching Practices of U.S. Mathematics Teachers: Grades 4 and 8。The 1990 through 2000 Mathematics Assessments of the National Assessment of Educational Progress: Results and Interpretations。Reston, VA。  new window
11.Pimm, D.(1995)。Symbols and Meanings in School Mathematics。Symbols and Meanings in School Mathematics。New York, NY。  new window
其他
1.康軒教育網(2007)。九十六學年度第一學期教科書市佔率。  延伸查詢new window
2.陳中行(2004)。小學數學教科書初探。  延伸查詢new window
3.梁興強(2008)。小學教師對數學課程改革的適應與解難教學。  延伸查詢new window
4.Lam, L.(2008)。Mathematics Education Reform in Hong Kong。  new window
圖書論文
1.Stein, M. K.、Remillard, J.、Smith, M. S.(2007)。How curriculum influences student learning。Second handbook of research on mathematics teaching and learning。Information Age。  new window
2.Anderson, C. W.(2003)。How can schools support teaching for understanding in mathematics and science?。Transforming: how schools and districts can support change。NY:Teacher College。  new window
3.Kieran, C.(1992)。The Learning and Teaching of School Algebra。Handbook of Research on Mathematics Teaching and Learning。New York, NY:Macmillan。  new window
 
 
 
 
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