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題名：臺灣、美國和新加坡三個七年級代數教科書發展學生數學能力方式之研究
書刊名：科學教育學刊
作者：楊德清 引用關係／陳仁輝
作者(外文)：Yang, Der-ching／Chen, Ren-huei
出版日期：2011
卷期：19:1
頁次：頁39-67
主題關鍵詞：代數；情境數學；教科書；部編數學；新課程數學；Alegebra；Developing mathematical ability；Mathematics textbooks；Cross cultural comparison of mathematics textbooks
原始連結：連回原系統網址new window
相關次數：
  • 被引用次數被引用次數:期刊(8) 博士論文(1) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:7
  • 共同引用共同引用:24
  • 點閱點閱:90
摘要：本研究旨在探討美國「情境數學」(Mathematics in Context)、新加坡「新課程數學」(New Syllabus Mathematics)與臺灣九年一貫「部編版」(Mathematics Official Textbook)等三個數學教材中七年級代數課程發展數學能力方式之差異性比較。本研究選取上述三套教科書，並以質性之內容分析法進行分析。研究結果顯示，「部編版數學」的知識內容最廣，偏重程序性知識的精熟，循Polya的解題方式，發展數學能力；「情境數學」則藉由情境學習促進學生建構概念性的理解，以科技輔助運算，發展多元策略以提升數學能力；「新課程數學」主張代數的工具性角色，強調精熟學習。
Abstract The purpose of this study was to compare the methods by which textbooks on algebra develop 7th-graders’ mathematical ability between the Mathematics Official Textbook (MOT) in Taiwan, Mathematics in Context (MiC) in the U.S.A., and New Syllabus Mathematics (NSM) in Singapore. The above three different textbooks were selected for this study, which involved a qualitative method of content analysis. The results of the study show that the mathematical content knowledge of MOT is the deepest among the three different textbooks, through highlighting procedural knowledge via practice and following the model of Polya to develop students’ mathematics ability. The MiC focuses strongly on conceptual understanding using multiple strategies, technologies and contexts. The NSM puts more emphasis on learning procedures through practice.
期刊論文
1.戴文賓、邱守榕(20000800)。國一學生由算術領域轉入代數領域呈現的學習現象與特徵。科學教育，10，148-175。  延伸查詢new window
2.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
3.Star, J. R., Betha, H. E.,、Smith, J. P.(2000)。Algebraic concepts: What’s really new in new curricula。Mathematics Teaching in the Middle School，5(7)，446-451。  new window
4.Herscovics, N.、Linchevski, L.(1994)。A cognitive gap between arithmetic and algebra。Educational Studies in Mathematics，27(1)，59-78。  new window
5.Brenner, M. E.、Herman, S.、Ho, H. Z.、Zimmer, J. M.(1999)。Cross-national comparison of representational competence。Journal for Research in Mathematics Education，30(5)，541-547。  new window
6.Newton, L. D.、Newton, D. P.、Blake, A.、Brown, K.(2002)。Do Primary School Science Books for Children Show a Concern for Explanatory Understanding?。Research in Science & Technological Education，20(2)，227-240。  new window
7.徐偉民、徐于婷(20091200)。國小數學教科書代數教材之內容分析：臺灣與香港之比較。教育實踐與研究，22(2)，67-94。new window  延伸查詢new window
8.陳仁輝、楊德清(20100200)。臺灣、美國與新加坡七年級代數教材之比較研究。科學教育學刊，18(1)，43-61。new window  延伸查詢new window
9.許馨月、鍾靜(2004)。國小教師面臨討論式數學教學問題之個案研究。國立臺北師範學院學報 [數理教育科技類]，17(1)，57-82。new window  延伸查詢new window
10.Cramer, K. A.、Post, T. R.、delMas, R. C.(2002)。Initial fraction learning by fourth-and fifth-grade students: A comparison of the effects of using commercial curricula with the effects of using the rational number project curriculum。Journal for Research in Mathematics Education，33(2)，111-144。  new window
11.Edwards, T. G.(2000)。Some “big ideas” of algebra in the middle grades。Mathematics Teaching in the Middle School，6(1)，26-31。  new window
12.Hirsch, C. R.、Reys, B. J.(2009)。Mathematics curriculum: A vehicle for school improvement。ZDM Mathematics Education，41(6)，749-761。  new window
13.Meyer, M. R.、Ludwig, M. A.(1999)。Teaching mathematics with MiC: An opportunity for change。Mathematics Teaching in the Middle School，4(4)，264-269。  new window
14.Philipp, R. A.(1992)。The many uses of algebraic variables。Mathematics Teacher，85(7)，557-561。  new window
15.Philipp, R. A.、Schappelle, B. P.(1999)。Algebra as generalized arithmetic: Starting with the known for a change。Mathematics Teacher，92，310-316。  new window
16.Sfard, A.(1995)。The development of algebra: Confronting historical and psychological perspectives。Journal of Mathematical Behavior，14(1)，15-39。  new window
17.Smith, J. P.、Phillips, E. A.(2000)。Listening to middle school students’ algebraic thinking。Mathematics Teaching in the Middle School，6(3)，56-61。  new window
18.Stacey, K.、MacGregor, M.(1997)。Ideas about symbolism that students bring to algebra。The Mathematics Teacher，90(2)，110-113。  new window
19.Stacey, K.、MacGregor, M.(1997)。Building foundations for algebra。Mathematics in the Middle School，2(4)，252-260。  new window
20.Star, J. R.(2005)。Reconceptualizing procedural knowledge。Journal for Research in Mathematics Education，36(5)，404-411。  new window
21.Vennebush, G. P.、Marquez, E.、Larsen, J.(2005)。Embedding algebraic thinking throughout the mathematics curriculum。Mathematics Teaching in the Middle School，11(2)，86-93。  new window
會議論文
1.Törnroos, J.(2004)。Mathematics textbooks, opportunity to learn and achievement。The ICME-10 Discussion Group 14。Copenhagen。  new window
2.Törnroos, J.(2001)。Mathematics textbooks and students’ achievement in the 7th grade: What is the effect of using different textbooks。Prague, CZ。516-525。  new window
研究報告
1.Stephen, L.(1999)。The NAEP 1996 Technical Report。Washington, DC。  new window
學位論文
1.吳明穎(2002)。國小數學教科書內容分析之研究(碩士論文)。屏東師範學院。  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.楊中宜(2007)。國中生進入代數領域理解符號意義對解題影響之探討--以臺北縣A國中為例。銘傳大學，臺北市。  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。國立高雄師範大學，高雄市。  延伸查詢new window
圖書
1.教育部(2003)。國民中學九年一貫課程綱要--數學學習領域。臺北市：教育部。  延伸查詢new window
2.Schmidt, W. H.、McKnight, C. C.、Houang, R. T.、Wang, H.、Wiley, D. E.、Cogan, L. S.(2001)。Why schools matter: A cross-national comparison of curriculum and learning。San Francisco：Jossey-Bass。  new window
3.Hiebert, J.、Gallimore, R.、Garnier, H.、Givvin, K. B.、Hollingsworth, H.、Jacobs, J.、Chiu, A. M. Y.、Wearne, D.、Smith, M.、Kersting, N.、Manaster, A.、Tseng, E.、Etterbeek, W.、Manaster, C.、Gonzales, P.、Stigler, J.(2003)。Teaching mathematics in seven countries: Results from the TIMSS 1999 video study。Washington, DC：National Council of Teachers of Mathematics。  new window
4.鄭毓信(1998)。數學教育哲學。臺北市：九章出版社。  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.National Council of Teachers of Mathematics(1989)。Curriculum and evaluation standards for school mathematics。Reston, VA：National Council of Teachers of Mathematics。  new window
7.Chambliss, M. J.、Calfee, R. C.(1999)。Textbooks for learning。London, England：Blackwell。  new window
8.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
9.國立教育研究院籌備處(2005)。部編版國民中學數學教師手冊。臺北市。  延伸查詢new window
10.國立教育研究院籌備處(2005)。部編版國民中學數學。臺北市。  延伸查詢new window
11.國立教育研究院籌備處(2005)。部編版國民中學數學。臺北市。  延伸查詢new window
12.陳宜良、單維彰、洪萬生、袁媛(2005)。中小學數學科課程綱要評估與發展研究。臺北市：教育部。  延伸查詢new window
13.游自達、林宜城、林原宏、洪賢松、陳兆君、蔡秋菊(2007)。九年一貫課程之教科書總評鑑總結報告：設計理念、能力指標與統整性。臺北市。  延伸查詢new window
14.Dreyfus, T.、Eisenberg, T.(1996)。On different facets of mathematical thinking。The nature of mathematical thinking \\ R. J. Sternberg ; T. Ben-Zeev (Eds.)。Mahwah, NJ。  new window
15.Encyclopedia Britannica.(2003)。Mathe-matics in context: Building formulas。Chicago。  new window
16.Encyclopedia Britannica.(2003)。Mathe-matics in context: Decision making。Chicago。  new window
17.Encyclopedia Britannica.(2003)。Mathematics in context: Comparing quantities。Chicago。  new window
18.Lappan, G.、Fey, J. T.、Fitzgerald, W. M.、Friel, S. N.、Phillips, E. D.(1996)。Getting to know the connected mathematics project。Palo Alto, CA。  new window
19.Romberg, T. A.、Shafer, M. C.(2003)。Mathematics in Context (MiC) -- Preliminary evidence about student outcomes。Standards-based school mathematics curricula: What are they? What do students learn? \\ S. L. Senk ; D. R. Thompson (Eds.)。Mahwah, NJ。  new window
20.Senk, S. L.、Thompson, D. R.(2003)。Standards-based school mathematics curricula: What are they? What do students learn?。Mahwah, NJ。  new window
21.Teh, K. S.(2005)。New syllabus mathematics Textbook 1。Singapore。  new window
22.Westbury, I.(1990)。Textbooks textbook publishers。Textbooks and schooling in the United States \\ D. L. Elliott ; A. Woodward (Eds.)。Chicago。  new window
其他
1.韓國棟(2005)。部編版自然科僅占市場7%。  延伸查詢new window
2.California Department of Education.(2006)。Guiding principles and key components of an effective mathematics program。  new window
3.Clopton, P.，McKeown, E. H.，McKeown, M.，Clopton, J.(1998)。Mathematically correct algebra 1 reviews。  new window
4.Ministry of Education in Singapore.(2007)。Secondary mathematics syllabus。  new window
5.National Assessment Governing Board.(2002)。Mathematics framework for the 2003 national assessment of educational progress。  new window
6.SGBox.(2006)。New syllabus mathematics for 7th grade/secondary 1 package。  new window
7.(2009)。New syllabus math for 7th grade/secondary 1 package: Product benefits，http://www.sgbox.com/s1nsm.html。  new window
8.Singapore Math.(2011)。The Singapore Math story。  new window
9.王建宇(2007)。教育看全球：考試領導教學，國外專家反對。  延伸查詢new window
10.洪蘭(2009)。生活即教育。  延伸查詢new window
圖書論文
1.Floden, R. E.(2002)。The measurement of opportunity to learn。Methodological advances in cross-national surveys of educational achievement。Washington：National Academy Press。  new window
2.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
 
 
 
 
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