加減法文字題語意結構、問題難度及解題關係之探討__臺灣人文及社會科學引文索引資料庫

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題名：	加減法文字題語意結構、問題難度及解題關係之探討
書刊名：	新竹師院學報
作者：	古明峰
作者(外文)：	Guy, Ming-feng
出版日期：	1999
卷期：	12
頁次：	頁1-25
主題關鍵詞：	文字題；語意結構；問題難度；Word problems；Semantic structure；Difficulty of problems
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(9) 博士論文(1) 專書(0) 專書論文(0) 排除自我引用:9 共同引用:18 點閱:34

　　　　　文字題本身是一個特殊的文體，學生在解題時首先需整理題意，把「語文理解」轉換成「形式數學」，也就是按題意列式，然後再進行運算過程，而困難處就出在前半部的列式。在轉換過程中，解題者本身的一般語意結構知識和相對應的數學概念，均扮演著重要的角色。當然文字敘述本身的複雜程度，也會影響解題的難度。本文將從有關的文獻研究中，探討加、減法文字題中的語意結構與問題難度之間的關係。並說明語意結構與解題策略、解題歷程之間的關係。

以文找文

　　　　　Word problem itself is a specific literary style. In problem solving, the student must firstly try to really catch the meaning of text, to "translate language comprehension" into "formula mathematic", and then to solve the problem. In process of translation, both the student's general knowledge of language and the corresponding mathematic concepts play a role of importance. Definitely the complicated degree in text statement will have its influence on the difficulty of problem solving. This study, therefore, based on the related literature, aimes to examine the effects of semantic structure in language knowledge on the difficulty of problem. Shed some light on the relationship between semantic structure and the performance of problem solving.

以文找文

期刊論文
1.	Lewis, A. B.(1989)。Training students to represent arithmetic word problems。Journal of Educational Psychology，81(4)，521-531。
2.	蔣治邦、鍾思嘉(19910800)。低年級學童加減概念的發展。教育與心理研究，14，35-68。延伸查詢
3.	Machida, K.、Carlson, J.(1984)。Effects of verbal mediation strategy on cognitive processes in mathematics learning。Journal of Educational Psychology，76，1382-1385。
4.	Reed, S. K.(1989)。Constraints on the abstraction of solution。Journal of Experimental Psychology: Applied，81(4)，532-540。
5.	Mayer, R. E.(1982)。Memory for Algebra Story Problems。Journal of Educational Psychology，74(2)，199-216。
6.	Fayol, M.、Abdi, H.、Gombert, J.(1987)。Arithmetic problem formulation and working memory load。Cognition and Instruction，3，187-202。
7.	Cooper, G.、Sweller, J.(1987)。The effects of schema acquisition and rule automation on mathematical problem-solving transfer。Journal of Educational Psychology，79，347-362。
8.	Ginsburg, H. P.、Yamamoto, T.(1986)。Understanding, motivation, and teaching: Comment on Lampert's 'Knowing, Doing, and Teaching Multiplication'。Cognition and Instruction，3，357-370。
9.	Mayer, Richard E.(1984)。Aid to text comprehension。Educational Psychologist，19，30-42。
10.	Cummins, D. D.、Kintsch, W. K.、Reusser, K.、Weimer, R.(1988)。The Role of Understanding in Solving Word Problems。Cognitive Psychology，20(4)，405-438。
11.	Kintsch, W.、Greeno, J. G.(1985)。Understanding and Solving Word Arithmetic Problems。Psychological Review，92(1)，109-129。
12.	Riley, M. S.,、Greeno, J. G.(1988)。Developmental analysis of understanding language about quantities and of solving problems。Cognition and Instruction，5(1)，49-101。
13.	Stern, E.(1993)。What makes certain arithmetic word problems involving the comparison of sets so difficult for children?。Journal of Educational Psychology，85(1)，7-23。
14.	Davis-Dorsey, J.、Ross, S. M.、Morrison, G. R.(1991)。The role of rewording and context personalization in the solving of mathematical word problems。Journal of Educational Psychology，83(1)，61-68。
15.	Lewis, A. B.、Mayer, R. E.(1987)。Students' miscomprehension of relational statements in arithmetic word problems。Journal of Educational Psychology，79(4)，363-371。
16.	DeCorte, E.、Vershaffel, L.、De Win, L.(1985)。Influence of rewording verbal problems on children's problem representations and solution。Journal of Educational Psychology，77，460-470。
17.	Owen, E.、Sweller, J.(1985)。What do students learn while solving mathematics problems?。Journal of Educational Psychology，77，272-284。
18.	張新仁(1989)。不同學科的認知歷程分析。教育研究，3，43-59。延伸查詢
19.	Bernardo, A. B. I.、Okagaki, L.(1994)。Role of Symbolic Knowledge and problem information context in solving word problems。Journal of Educational Psychology，86，212-220。
20.	Davis-Dorsey, J.、Ross, S. M.、Morrison, G. R.(1991)。The role of rewording and context personalization in the solving of mathematics word problems。Journal of Educational Psychology，83，61-68。
21.	Fuson, K. C.、Willis, G. B.(1989)。Second graders' use of schematic drawings in solving addition and subtraction word problems。Journal of Educational Psychology，81(4)，514-520。
22.	Hegarty, M.、Mayer, R. E.、Monk, C. A.(1995)。Comprehension of successful and unsuccessful problem solvers。Journal of Education Psychology，87，18-32。
23.	Reed, S. K.(1989)。Constraints on the abstraction of solutions。Journal of Educational Psychology，81，532-540。
24.	Hegarty, M.、Mayer, R. E.、Green, C. E.(1992)。Comprehension of Arithmetic Word Problems: Evidence from Students' Eye Fixations。Journal of Educational Psychology，84(1)，76-84。
25.	Peterson, Penelope L.、Fennema, Elizabeth、Carpenter, T.(1989)。Teachers' Knowledge of Students' Knowledge in Mathematics Problem Solving: Correlational and Case Analyses。Journal of Educational Psychology，81(4)，558-569。
26.	Anand, P.、Ross, S. M.(1987)。Using computer-assisted instruction to personalize math learning materials for elementary children。Journal of Education Psychology，79，72-79。
27.	Briars, D. J.、Larkin, J. H.(1984)。An Integrated Model of Skill in Solving Elementary Word Problems。Cognition and Instruction，1，245-296。
28.	Catambrone, R.、Holyoak, K. J.(1989)。Overcoming Contextual Limitations on Problem-solving Transfer。Journal of Experimental Psychology: Learning, Memory, and Cognition，15(6)，1147-1156。
29.	Cummins, D. D.(1991)。Children's interpretations of arithmetic word problems。Cognition and Instruction，8，261-289。
30.	Hudson, T.(1983)。Correspondence and numerical differences between disjoint sets。Child Development，54，84-90。
31.	Judd, T.、Bilsky, L. H.(1989)。Comprehension and memory in the solution of verbal arithmetic problems by mentally retarded and nonretarded individuals。Journal of Educational Psychology，81，541-546。
32.	Riley, M. S.、Greeno, J. G.(1988)。Developmental analysis of understanding language about quantities and of solving problems。Cognition and Instruction，5，49-101。
33.	Verschaffel, L.、De Corte, E.、Pauwels, A.(1992)。Solving Compare Problems: An Eye Movement Test of Lewis and Mayer's Consistency Hypothesis。Journal of Educational Psychology，84，85-94。
34.	Willis, Gordon B.、Fuson, K. C.(1988)。Teaching Children to Use Schematic Drawings to Solve Addition and Subtraction Word Problems。Journal of Educational Psychology，80(2)，192-201。
35.	Anand, P.、Ross, S. M.(1987)。Using computer-assisted instruction to personalize math learning materials for elementary school children.。Journal of Educational Psychology，79，72-79。
36.	Briars, D. J.、Larkin, J. H.(1984)。An intergrated model of skill in solving elementary word problems。Cognition and Instruction，1，245-296。
37.	Catambrone, R.、Holyoak, K. J.(1989)。Overcoming contextual limition on problem solving transfer。Journal of Educational Psychology: earning, Memory, and Cognition，15，1147-1156。
38.	Cooper, G. A.、Sweller, J.(1987)。Effects of schema acquistion and rule automation on mathematical problem solving transfer。Journal of Educational Psychology，79，347-362。
39.	Cummins, D. D.(1991)。Children's interpretations of arithmetic word problems。Cognition and Instruction，8，261-289。
40.	De Dorte, E.、Verschaffel, L.、de Winn, L.(1985)。Inf;uence of rewording verbal problems on children's problem representations and solution。Journal of Educational Psychology，77，460-470。
41.	Hudson, Thom(1983)。Correspondence and numerical differences between disjoint sets。Child Development，54，84-90。
42.	Judd, T.、Bilsky, L. H.(1989)。Comprehension and memory in the solution of verbal arithmetic problems by mentally retarded and nonretarded individuals。Journal of Educational Psychology，81，541-546。
43.	Kintsch, W.、Greeno, J. G.(1985)。Underdstanding and solving word arithmetic word problems。Psychological Review，92，109-129。
44.	Owen, E.、Sweller, J.(1985)。What do students learn while solving mathematics problem?。Journal of Educational Psychology，77，272-284。
45.	Peterson, P. L.、Carpenter, T.、Fennema, E.(1989)。Teachers' knowledge of students' knowledge in mathematics problem solving: Correlational and case analyses。Journal of Educational Psychology，81，558-569。
46.	Verschaffel, L.、De Corte, E.、Pauwels, A.(1992)。Solving compare problems: An eye movement test of Lewis and Mayer's consistency hypothesis。Journal of Educational Psychology，84，85-94。
47.	Willis, G. B.、Fuson, K. C.(1988)。Teaching children to use schematic drawing to solve addition and subtraction word problems。Journal of Educational Psychology，80，192-201。

會議論文
1.	古明峰(1997)。加減法應用題語文知識對問題難度之影響之研究。沒有紀錄。延伸查詢
2.	Carpenter, T. P.(1981)。Initial instruction and subtraction: A target of the opportunity for curriculum development。Washington, DC。

學位論文
1.	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
2.	Naraynan, K.(1983)。Sources and order of difficulty in word problem solving in EMR and nonretarderd individuals，New York, NY。
3.	Riley, M. S.(1981)。Conceptual and procedural knowledge in development，0。
4.	唐淑華(1989)。與文理解課程對增進國一學生數學理解能力之實驗研究，臺北。延伸查詢
5.	Naraynan, K.(1983)。Sources and order og difficulty in word problem solving in EMR and nonretarded individuals，NY。

圖書
1.	Stevenson, H. W.、Lee, Shin-Yin、Stigler, J. W.(1990)。Mathematical knowledge of Japanese, Chinese, and American elementary school children。Reston, VA：National Council of Teachers of Mathematics。
2.	Davis, R. B.(1984)。Learning mathematics: The Cognitive Science Approach to Mathematics Education。Norwood, New Jersey：Ablex Publishing Corporation。
3.	Mayer, Richard E.、林清山(1991)。教育心理學--認知取向。臺北：遠流出版事業股份有限公司。延伸查詢
4.	Mayer, Richard E.、林清山(1990)。教育心理學：認知取向。臺北市：遠流出版社。延伸查詢
5.	Carpenter, T. P.(1985)。Learning to add and subtract: An exercise in problem solving。Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives。Hillsdale, NJ。
6.	Reed, S. K.(1993)。Imagery and discovery。Imagery creativity, and discovery。Amsterdam, Netherlands。
7.	Carpenter, T. P.(1985)。Learning to add and subtract: An exercise in problem solving。Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives。Hillsdale, N. J.。
8.	Davis, R. B.(1984)。Learning mathematics: The Cognitive science approach to mathematics education。Learning mathematics: The Cognitive science approach to mathematics education。Norwood NJ。
9.	De Corte, E.、Verschaffel, L.(1991)。Some factors influencing the solution of addition and subtraction word problems。Language in mathematical education。London。
10.	Riley, M. S.(1993)。Imagery and discovery。Imagery creativity, and discovery。Amsterdam。

其他
1.	古明峰(1997)。加減法應用題語文知識對問題難度之影響隻研究。延伸查詢
2.	Carpenter, T. P.(1981)。Initial instruction and subraction: A target of the opprotunity for durridulum development，Washington, D. C.。

圖書論文
1.	Riley, M. S.、Greeno, J. G.、Heller, J. I.(1983)。Development of children's problem-solving ability in arithmetic。The Development of Mathematical Thinking。Pittsburgh, Pennsylvania：Learning Research and Development Center, University of Pittsburgh。
2.	De Corte, E.、Verschaffel, L.(1991)。Some factors influencing the solution of addition and subtraction word problems。Language in Mathematical Education。Open University。

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