:::

詳目顯示

回上一頁
題名:國小學生數學文字題問題結構與數學解題表現之相關研究
書刊名:屏東教育大學學報
作者:涂金堂
作者(外文):Tu, Chin-tang
出版日期:2007
卷期:26
頁次:頁101-136
主題關鍵詞:問題結構表面結構深層結構Problem schemaSurface structureDeep structure
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(4) 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:4
  • 共同引用共同引用:0
  • 點閱點閱:40
解題者的知識結構,會影響解題者是否能提取適當的解題基模,進而影響解題能否成功。 本研究旨在探究國小學生在解數學文字題時,其對數學文字題所形成的問題結構,與其數學解題表現兩者之間的關係。 本研究採用相關研究法,以36位國小六年級學生為研究對象,研究結果發現: (一)對於數學文字題題目相似性的分類作業,數學解題表現較差的學生,會採用「相似的表面結構」作為分類的原則;數學解題表現較佳的學生,會採用「相似的深層結構」作為分類的依據。 (二)國小學生的問題表面結構之向度聯結分數與其數學解題表現,有顯著的負相關;國小學生的問題深層結構之向度聯結分數與其數學解題表現,有顯著的正相關。 (三)國小學生的問題表面結構之純類別分數與其數學解題表現,有顯著的負相關;國小學生的問題深層結構之純類別分數與其數學解題表現,有顯著的正相關。
The problem solvers’ knowledge structure has great influence on problem schema and the causes of problem solving. The purpose of the research is to study 36 elementary school students of the sixth grade and to understand their problem structure of mathematical word problems and the relationship with performance of mathematical word problems. The findings of the research are below: (1).With regard to classification assignment of mathematical word problems, low mathematical ability students adopt ”surface structure” as the principle of classifying. High mathematical ability students adopt ”deep structure” as the principle of classifying. (2). A significant negative correlation between dimensional association scores in problematic surface structure and performance in solving mathematical problems was found. A significant positive correlation between dimensional association scores in problematic deep structure and performance in solving mathematical problems was found. (3). A significant negative correlation between pure category scores in problematic surface structure and performance in solving mathematical problems was found. A significant positive correlation between pure category scores in problematic deep structure and performance in solving mathematical problems was found.
期刊論文
1.Mayer, R. E.(1982)。Memory for Algebra Story Problems。Journal of Educational Psychology,74(2),199-216。  new window
2.Fuchs, L. S.、Fuchs, D.、Finelli, R.(2004)。Expanding schema-based transfer instruction to help third graders solve real-life mathematical problems。American Educational Research Journal,41(2),419-445。  new window
3.Dixon, J.、Bangert, A.(2004)。On the spontaneous discovery of a mathematical relation during problem solving。Cognitive Science,28,433-449。  new window
4.Cai, J.、Mamona-Downs, J.、Weber, K.(2005)。Mathematical problem solving: What we know and where we are going。Journal of Mathematical Behavior,24(3/4),217-220。  new window
5.Gliner, G. S.(1989)。College students' organization of mathematics word problems in relation to success in problem。School Science and Mathematics,89(5),392-404。  new window
6.Nunokawa, K.(2005)。Mathematical problem solving and learning mathematics: What we expect students to obtain。Journal of Mathematical Behavior,24(3/4),325-340。  new window
7.陳東營、張惠博(19990400)。國中學生理化解題過程差異與其影響因素之研究。科學教育,9,54-87。  延伸查詢new window
8.張再明(19941100)。國小兒童問題結構認知能力及其相關因素之探討研究。嘉義師院學報,8,1-56。  延伸查詢new window
9.Mayer, R. E.(1981)。Frequency norms and structural analysis of algebra story problems into families, categories, and templates。Instructional Science,10(2),135-175。  new window
10.Mayer, R. E.(1989)。Introduction to the special section。Journal of Educational Psychology,81(4),452-456。  new window
11.Silver, E. A.(1981)。Recall of mathematical problem information: Solving related problems。Journal for Research in Mathematics Education,12(1),54-64。  new window
12.Schoenfeld, A. H.、Herrmann, D. J.(1982)。Problem perception and knowledge structure in expert and novice mathematical problem solvers。Journal of Experimental Psychology: Learning, Memory, and Cognition,8(5),484-494。  new window
會議論文
1.McDermott, J. R.、Lakin, J. H.(1978)。Representing textbook physics problems。Second National Conference of the Canadaian Society of Computational Studies of Intelligence。Toronto。  new window
研究報告
1.劉秋木(1989)。數學解題行為評量表編製報告 (計畫編號:NSC77-0111-S026-01A)。  延伸查詢new window
學位論文
1.Silver, E. A.(1977)。Student perceptions of relations among mathematical word problems(博士論文)。Columbia University,New York。  new window
2.林明哲(1990)。國中學生數學解題行為之分析研究(碩士論文)。國立彰化師範大學。  延伸查詢new window
3.李靜瑤(1994)。高雄市國二學生數學解題歷程之分析研究(碩士論文)。國立高雄師範大學。  延伸查詢new window
圖書
1.Pólya, George(1945)。How to solve it: A new aspect of mathematical method。Princeton, NJ:Princeton University Press。  new window
2.Hayes, J. R.(1989)。The complete problem solver。Hillsdale, New Jersey:Lawrence Erlbaum Associates。  new window
3.Schoenfeld, A. H.(1985)。Mathematical problem solving。Orlando, Florida。  new window
4.Mayer, Richard E.(1992)。Thinking, problem solving, cognition。W. H. Freeman and Company:Times Books:Henry Holt & Company。  new window
圖書論文
1.Hinsley, D. A.、Hayes, J. R.、Simon, H. A.(1977)。From words to equations: Meaning and representation in algebra word problems。Cognitive processes in comprehension。Hillsdale, NJ:Lawrence Erlbaum Associates。  new window
2.Marshall, S. P.(1995)。Some suggestions for alternative assessments。Cognitively diagnostic assessment。Hillsdale, NJ:Lawrence Erlbaum Associates。  new window
3.教育部(2000)。國民教育九年一貫課程綱要「數學學習領域」。國民教育九年一貫課程綱要。台北:教育部。  延伸查詢new window
4.Chi, M. T. H.、Glaser, R.(1985)。Problem-solving ability。Human abilities: An information processing approach。New York:W. H. Freeman and Company。  new window
 
 
 
 
第一頁 上一頁 下一頁 最後一頁 top