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題名:數學解題策略教學之研究
書刊名:教育學刊
作者:蕭見文
作者(外文):Shiao, Jiann-wen
出版日期:1996
卷期:12
頁次:頁367-399
主題關鍵詞:數學解題策略教學
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(3) 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:3
  • 共同引用共同引用:57
  • 點閱點閱:24
     本文基於數學解題對數學教學及學習的重要性,採用文獻調查的研究方法,目的在於探討數學解題的意義、數學解題的歷程模式、數學解題的教學原則,以及回顧國內、外有關數學解題策略之教學研究的成果,並提出在教學上的建議。各節內容摘要如下: 1.數學解題是一個人面臨有關數學上的問題時,一時無法立即獲知答案,必須運用以往的知識和經驗,求出解答的過程。 2.數學解題歷程的探討,從一般數學解題的認知歷程,隨著與認知心理學的相結合,其內涵更形豐富。 3.數學解題的教學原則,從教學內容和教學方法兩方面提示。 4.相關研究結果的檢討:有效的策略教學研究通常奠基於述說清楚的訓練;策略教學的效果,需視受試學生的能力而定;部分研究顯示接受解題訓練的學生會具較積極正面的學習態度。 5.以數學解題為重心的教學模式,應為今後數學教育所應努力的方向。
     The purposes of this study were (1)to define the concept of mathematics problem solving, (2)to introduce the models of mathematics problem solving, (3)to offer some suggestions to mathematics problem solving in teaching (4)to review studies of mathematics problem solving in teaching effects, (5)to draw a conclusion. The main content are summarized as the followings. 1. Mathematics problem solving is the process that someone try to to solve a problem of Mathematics. 2. Because of cognitive psychology, the model of mathematics problem solving became more rich. 3. Some suggestions of content and method were offered to mathematics problem solving in teaching. 4. In the studies reviewed, effective strategy instruction often seems to depend upon explicit training. There are no overall positive effects for strategy. Rather, the results of instruction seem to depend on the abilities of the student being taught. 5. Mathematics problem solving would be the center of mathematics teaching.
期刊論文
1.Moyer, J. C.、Moyer, M. B.、Sowder, L.、Threadgill-Sowder, J.(1984)。Story problem formats: verbal versus telegraphic。Journal for Research in Mathematical Education,15(1),64-68。  new window
2.Anand, P. G.、Ross, S. M.(1987)。Using computer-assisted instruction to personalize arithmetic materials for elementary school children。Journal of Educational Psychology,79(1),72-78。  new window
3.黃敏晃(19910200)。淺談數學解題。教與學,23,2-15。  延伸查詢new window
4.劉錫麒(19920600)。合作反省思考數學解題教學模式的理論基礎。初等教育學報,2,1-68。  延伸查詢new window
5.Caldwell, J. H.、Goldin, G. A.(1987)。Variables affecting word problem difficulty in secondary school mathematics。Journal for Research in Mathematics Education,18(3),187-196。  new window
6.Charles, R. I.、Lester, F. K. Jr.(1984)。An evaluation of a process- oriented instructional program in mathematical problem solving in grades 5 and 7。Journal for Research in Mathematics Education,15(1),15-34。  new window
7.Darch, C.、Carnine, D. W.、Gersten, R. G.(1984)。Explicit instruction in mathematics problem solving。Journal of Education Research,77,351-359。  new window
8.Decorte, Vershaffel L.、DeWin, L.(1985)。Influence of rewarding verbal problems on children's problem representations and solutions。Journal of Educational Psychology,77,460-470。  new window
9.Hembree, R.(1987)。Effects of noncontext variables on mathematics test performance。Journal for Research in Mathematics Education,18,197-214。  new window
10.Lee, K. S.(1982)。Fourth-graders heuristic problem-solving behavior。Journal for Research in Mathematics Education,13(2),110-123。  new window
11.Moyer, J. C.、Sowder, L.、Threadgill-Sowder, J.、Moyer, M. B.(1984)。Story problem formats: Drawn versus verbal versus telegraphic。Journal for Research in Mathematics Education,15(5),342-351。  new window
12.Schoen, H. L.、Friesen, C. D.、Jarrett, J. A.、Urbatsch, T. D.(1981)。Instruction in estimating solutions of whole unmber computations。Journal for Research in Mathematics Education,12,165-178。  new window
13.Steinberg, R. M.(1985)。Instruction on derived facts strategies in addition and subtraction。Journal for Research in Mathematics Education,16(5),337-355。  new window
14.Szetela, W.、Super, D.(1987)。Calculation and instruction in problem solving in grades seven。Journal for Research in Mathematics Education,18(3),215-229。  new window
15.邱上真(19920700)。國小中年級數學科解題歷程導向之評量。特殊教育與復健學報,2,235-271。new window  延伸查詢new window
16.林清山、張景媛(19930700)。國中生後設認知、動機信念與數學解題策略之關係研究。教育心理學報,26,53-74。new window  延伸查詢new window
研究報告
1.張進上(1994)。自我教導方案對國小數學學習障礙兒童數學解題輔導效果之研究。  延伸查詢new window
學位論文
1.吳昭容(1990)。圖示對國小學童解數學應用題之影響(碩士論文)。國立台灣大學。  延伸查詢new window
2.古明峰(1990)。三種輔導與教學介入策略對國小數學高焦慮兒童之數學態度、計算能力與應用題解題能力之影響(碩士論文)。國立臺灣師範大學。  延伸查詢new window
3.何縕琪(1994)。表徵策略教學對提升國小低解題正確率學生解題表現之效果研究(碩士論文)。台灣師範大學。  延伸查詢new window
4.徐文鈺(1992)。圖示策略訓練課程對國小五年級學生的數學應用題解題能力與錯誤類型之影響(碩士論文)。國立臺灣師範大學。  延伸查詢new window
5.孫達剛(1992)。雄中、雄女學生數學解題之研究—Poly解題四階段論取向(碩士論文)。國立髙雄師範大學。  延伸查詢new window
6.涂金堂(1995)。國小學生後設認知、數學焦慮與數學解題表現之相關研究(碩士論文)。國立高雄師範大學。  延伸查詢new window
7.羅汝惠(1993)。臺灣南區國中一年級數學科解題導向教學法之教學成效比較研究(碩士論文)。國立高雄師範大學。  延伸查詢new window
8.翁嘉英(1988)。國小兒童解數學應用問題的認知歷程(碩士論文)。國立臺灣大學。  延伸查詢new window
9.劉錫麒(1991)。合作反省思考的數學解題教學模式及其實徵研究(博士論文)。國立臺灣師範大學。new window  延伸查詢new window
10.唐淑華(1989)。「語文理解課程」對增進國一學生數學理解能力與解答應用問題能力之實驗研究(碩士論文)。國立臺灣師範大學。  延伸查詢new window
圖書
1.吳佳邦、吳順治(1989)。解題導向的數學教學策略。台北:五南圖書。  延伸查詢new window
2.教育部(1993)。國民小學數學課程標準。  延伸查詢new window
3.Scheid, Karen(1993)。Helping Students Become Strategic Learners: guidelines for teaching。Cambridge, MA:Brookling Books。  new window
4.Michael, Pressley(1990)。Cognitive Strategy Instruction that Really Improves Children's Academic Performance。  new window
5.Peterson, P. L.、Swing, S. R.、Stoiber, K. C.(1986)。Learning time versus thinking skills: Alternative perspectives on the effects of two instructional methods。Madison, WI:University of Wisconsin,Wisconsin Center for Education, School of Education。  new window
6.Polya, G.(1957)。How to solve it。Garden City, N. Y.:Doubleday Anchor Books。  new window
7.Swing, R. S.、Peterson, R. L.(1986)。Elaborative and integrative thought process in mathematics learning。Madison:University of Wisconson。  new window
單篇論文
1.Hargest, J. T.,Wood, C.,Rose, W. H.,Coughlin, L.(1986)。Preparing learning disabled adolescents for a state competency math test,Bel Air, MD:Harford Co MD Public Schools。  new window
 
 
 
 
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