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題名:連結生活化情境與生產性練習的數學教學之探討
書刊名:教育資料與研究
作者:黃幸美
作者(外文):Huang, Hsin-mei
出版日期:2005
卷期:64
頁次:頁89-101
主題關鍵詞:生活化情境現實數學教育運算流暢生產性練習Real life contextRealistic mathematics educationComputational fluencyProductive practicing
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(1) 博士論文(0) 專書(0) 專書論文(0)
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  • 共同引用共同引用:130
  • 點閱點閱:23
本文從九年一貫課程的數學領域課程理念、教育與教學層面,援引普獲實證研究支持的荷蘭現實數學教育理論,在教育理念相似的基礎上3/4以學生為中心、生活經驗為重心,論述培養學生為自己的數學學習負債任的意義。時,在教才處理與教學方面,教師的任在於慎選具有數學內容、能據以成為一個發展進步的數學思考問題,透過生活情境來鋪陳問題,築構學習的橋樑,讓學生察數學在各式日常生活情境的可運用性與功能,學數學常識與日常活動的連結。另一方面,在養成學生運算技能流暢上,本文提出有意義的運算與生產性的練習與例隅問題,提供教師讓學生從執行運算規則中,能觸發與連結數概念學習之參考。
The aim of this paper is to propose an illustration for linking between theory and practice in mathematics education based on the goal of the First-Ninth Grades Curriculum alignment-mathematics field. Moreover, the perspectives of student-centered approach in mathematics learning, and issues of experiencing the application of mathematics in daily life, and how to teaching students abstract mathematical knowledge were discussed by addressing theoretical framework for Realistic Mathematics Education which has been developed through long term empirical research in Netherland. For the purpose of developing students’ progressive mathematization and mathematics abilities needed in daily life, teachers have the responsibility for providing materials embedded with concrete mathematical objectives and contexts, and combined the practice of computation skills with higher level mathermatical thinking. In addition to some suggestions provided for meaningful computation and examples of producing practicing for computational fluency and enhancing number sense are discussed.
期刊論文
1.謝金城(2003)。推動九年一貫課程的策略性做法--以臺北縣為例。國立編譯館館刊,31,67-73。  延伸查詢new window
2.Anghileri, J.、Beishuizen, M.、Van Putten, K.(2002)。From informal strategies to structures procedures:Mind the gap!。Educational Studies in Mathematics,49,149-170。  new window
3.Bass, H.(2003)。Computational fluency,algorithm,and mathematical proficiency:One mathematician's perspective。Teaching Children Mathematics,9(6),322-327。  new window
4.Cooper, B.、Harries, T.(2002)。Children's responses to contrasting 'realistic' mathematics problems:Just how realistic are children ready to be?。Educational Studies in Mathematics,49,1-23。  new window
5.Fuson, K. C.(2003)。Toward computational fluency in multidigit multiplication and division。Teaching Children mathematics,9(6),300-305。  new window
6.Griffin, S.(2003)。Laying the foundation for computational fluency in early childhood。Teaching Children Mathematics,9(6),306-309。  new window
7.Huinker, D.、Freckman, J. L.、Steinmeyer, M. B.(2003)。Subtraction strategies from children's thinking:Moving toward fluency with greater numbers。Teaching Children Mathematics,9(6),347-353。  new window
8.Kuhn, D.、Pearsall, S.(1998)。Relations between metastrategic knowledge and strategic performance。Cognitive development,13,227-247。  new window
9.Rittle--Johnson, B.、Siegler, R. S.、Alibali, M. W.(2001)。Developing conceptual understanding and procedural skill in mathematics:An iterative process。Journal of Educational Psychology,93(2),346-362。  new window
10.Van Den Heuvel-Panhuizen, M.(2003)。The didactical use of models in realistic mathematics education:An example from a longitudinal trajectory on percentage。Educational Studies in Mathematics,54,9-35。  new window
11.Wittmann, E. Ch.(2001)。Developing mathematics education in a systemic process。Educational Studies in Mathematics,48,1-20。  new window
12.Leung, S. S.、Wu, R.(2000)。Sharing problem posing and problem at home through diary writing。Australian Primary Mathematics Classroom,5(1),28-32。  new window
13.林碧珍、蔡文煥(20030500)。四年級學生在國際教育成就調查試測的數學成就表現。科學教育,258,2-20。  延伸查詢new window
會議論文
1.Gravemeijer, K. P. E.(200111)。Developmental research,A course in elementary data analysis as an example。The Netherlands and Taiwan Conference on common sense in mathematics,Department of mathematics,National Taiwan Normal University 。  new window
圖書
1.南一出版社(2004)。國小數學。台南:南一出版社。  延伸查詢new window
2.教育部(2000)。國民中小學九年一貫課程(第一學習階段)暫行綢要。臺北:教育部。  延伸查詢new window
3.教育部(2003)。國民中小學九年一貫課程綱要--數學領域。臺北:教育部。  延伸查詢new window
4.黃幸美(2004)。兒童的數學問題解決與思考。臺北:心理。new window  延伸查詢new window
5.Freudenthal, H.(1991)。Revising mathematics education。Dordrecht:Kluwer Acdemic Publishers。  new window
6.Gravemeijer, K. P. E.(1994)。Developing realistic mathematics education。Utrecht:Freudenthal Institute。  new window
7.Streefland, L.(1991)。Realistic mathematics education in primary school:On the occasion of the opening of the Freudenthal Institution。Culemborg,The Netherlands:Technipress。  new window
8.Freudenthal, H.(1973)。Mathematics as an educational task。Dordrecht:D. Reidel Publishing。  new window
9.戴保羅、Rose, C.、Nicholl, M. J.(1999)。學習地圖。臺北:經典傳訊文化。  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.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:教育部。  延伸查詢new window
12.周祝瑛(20030000)。誰捉弄了臺灣教改?。臺北:心理。new window  延伸查詢new window
單篇論文
1.Becker, J. P.,Huang, H. M. E.。Practicing computation while solving problems。  new window
其他
1.聯合報(20030215)。九年一貫數學課程進度太慢。  延伸查詢new window
2.李遠哲(20040305)。李遠哲發表萬言「教改省思」。  延伸查詢new window
3.聯合報(20021029)。首屆白老鼠國一生數學「空前的差」。  延伸查詢new window
4.聯合報(20021201)。建構式數學擬發補救教材。  延伸查詢new window
5.中國時報(20021024)。建構式數學,簡化繁,學生程度慘?。  延伸查詢new window
6.聯合報(20021029)。教部:建構式數學非唯一教法。  延伸查詢new window
圖書論文
1.Selter, C.(2001)。Doing mathematics while practicing skills。Selected Papers--Developmental Research Project " mathe 2000”。Dortmund,Germany:Dortmund University,Department of Mathematics。  new window
2.Treffers, A.(1991)。Didactical background of a mathematics program for primary education。Realistic Mathematics Education in Primary School: On the Occasion of the opening of the Freudenthal Institute。Utrecht:Freudenthal Institute。  new window
3.Wong, N. Y.、Han, J.、Lee, P. Y.(2004)。The mathematics curriculum:Toward globalization or westernization?。How Chinese learn mathematics:Perspectives from insiders。Singapore:World Scientific Publishing。  new window
 
 
 
 
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