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題名：國小高年級學生數學解題後設認知行為之研究
書刊名：臺中師院學報
作者：馬秀蘭／吳德邦
作者(外文)：Ma, Hsiu-lan／Wu, Der-bang
出版日期：1999
卷期：13
頁次：頁371-410
主題關鍵詞：多媒體電腦輔助教學；後設認知；數學解題；Multimedia computer-assisted instruction；MCAI；Metacognitive behaviors；Mathematical problem solving
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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:15
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　　　　　本研究計畫的目的是在探討六年級學生在接受或沒有接受多媒體電腦輔助教學 (MCAI)光碟片學習後，解題時的後設認知行為。 本研究的六位控制組與六位實驗組學生是來自國小六年級一班中，數學高、中、低程度 各二人。兩組學生平日接受正常數學課中的解題課程，實驗組學生並於課後接受本研究自行 研發之以數學解題為導向的MCAI系統。實驗之後，十二位受試者採用放聲思考來解答數學 問題，其中解題過程完全被錄音，然後再將其轉譯成原案。 最後分析結果發現，實驗組低數學能力者之解題後設認知能力略高於控制組同等能力 者，即本MCAI系統對低數學能力學童之解題後設認知行為有程度上的效益。但是在兩組中， 一般高數學能力者均比較能做多方向的思考，也較善於質詢策略的適當性與較能清楚地解釋 策略使用的理由;因此，高數學能力者所表現之解題後設認知能力普遍高於低數學能力者。 然而毋論學生數學能力的高低如何，他們總有自己個人的解題方式。
　　　　　This study was undertaken to investigate sixth graders' Metacognitive behaviors of mathematical problem-solving under the circumstance of receiving or not receiving the treatment of a multimedia computer-assisted instruction (MCAI) CD title, which was developed by the researchers. The non-treatment group (6 students) and the treatment group (6 students) in this study were randomly selected from a sixth-grade class of one elementary school. Each group respectively included two high, middle, and low mathematics achievement students. After the problem-solving class, only the treatment group received the instruction of MCAI, that is mathematical problem-solving oriented. At last, all 12 subjects respectively applied "thinking aloud" to solve mathematical problems. Their processes of lem-solving were recorded, then were described into verbatim protocols. The final analysis revealed that the Metacognitive abilities of problem-solving of low mathematics achievement subjects in the treatment group were slightly higher than those of the same mathematics achievement in the non-treatment group. That is, the MCAI advantaged low mathematics achievement students' Metacognitive behaviors of problem-solving. All high mathematics achievement students' Metacognitive abilities of problem-solving were higher than those of low mathematics achievement students in both groups. Whatever mathematics achievements students may make, they always had their own methods of problem-solving.
期刊論文
1.汪榮才(19900900)。Metacognitive Behaviors in Mathematical Problem Solving in Gifted and Average Sixth Grade Students。初等教育學報，3，199-243。new window  new window
2.李華(1988)。電腦輔助教學--CAI。倚天雜誌，8。  延伸查詢new window
3.張景媛(19940600)。國中生數學學習歷程統整模式之研究。教育心理學報，27，141-174。new window  延伸查詢new window
4.Baker, P. G.、King, T.(1993)。Evaluating Interactive Multimedia Courseware Methodology。Computer Educating，21(4)，307-319。  new window
5.Bitter, G. C.(1987)。Educational technology and the future of mathematics education。School Science and Mathematics，87，454-465。  new window
6.Clements, D. H.、Gullo, D. F.(1984)。Effect of computer programming on young children's cognition。Educational Psychology，76，1051-1058。  new window
7.Carpenter, T. P.、Lindquist, M. M.、Matthews, W.、Silver, E. A.(1983)。Results of the third NAEP Mathematics Assessment: Secondary school。Mathematics Teacher，75，652-659。  new window
8.Flavell, J. H.(1979)。Metacognition and cognitive monitoring: A new area of cognitive-developmental inquiry。American Psychologist，34(10)，906-911。  new window
9.Greeno, J. G.(1976)。Indefinite goals in well structured problems。Psychological Review，83，479-491。  new window
10.Garofalo, J.、Lester, F. K.(1985)。Metacognition, cognitive monitoring, and mathematical performance。Journal for Research in Mathematics Education，16(3)，163-176。  new window
11.Kersh, M. E.、McDonald, J.(1991)。How do I solve thee? Let me count the ways!。Arithmetic Teacher，39(2)，38-41。  new window
12.Kizzier, D.(1994)。Perceived Appropriateness of Technological Mediated Systems in Educational and Business Learning Environments。Delta-Pi-Epsilon-Journal，36(1)，32-48。  new window
13.Kilpatrick, J.(1985)。Mathematics education research: 1984 in review。Journal for Research in Mathematics Education，16(4)，316-319。  new window
14.Liu, S. C.(1989)。A study of elementary school upper graders' mathematical problem solving processes and its related factors。Journal of Hualien Teachers' College，3，23-90。  new window
15.National Council of Supervisors of Mathematics(1977)。Position paper on basic mathematical skill。Arithmetic Teacher，25，19-22。  new window
16.Paris, S. G.、Lipson, M. Y.、Wixson, K. K.(1983)。Becoming a strategic reader。Contemporary educational，8，293-316。  new window
17.Schoenfeld, A. H.(1982)。Measures of problem-solving performance and of problem solving instructional。Journal of Research in Mathematics Education，13，31-49。  new window
18.謝祥宏、耿正屏、湯清二(19960300)。交互式多媒體教學系統對高中學生學習細胞生理之研究。科學教育學刊，4(1)，1-30。new window  延伸查詢new window
會議論文
1.Wu, D. B.、Ma, H. L.(1996)。A follow-up Research Protocol of a Comparative Study between Traditional Instruction and Modified Multimedia Instruction in Mathematical Problem-Solving Achievements and beliefs。國立台東師範學院數理教育學術研討會。  new window
2.林正輝、邱鴻麟(1996)。以Hypertext CAL探究五專生畢爾定律概念之學習。中華民國第十二屆科學教育學術研討會。  延伸查詢new window
3.潘宏明(1996)。原住民國小學童數學解題後設認知行為之研究。國立花蓮師範學院八十四學年度學術研討會，151-218。  延伸查詢new window
4.張靜譽(1996)。國二學生數學解題策略與行為之研究。中華民國第十二屆科學教育學術研討會。  延伸查詢new window
5.Lester, F. K.、Garofalo, J.(1982)。Metacognitive aspects of elementary school students' performance on arithmetic tasks。The meeting of the American Educational Research Association。New York。  new window
6.Loar, D. M.(1992)。A Study of the Achievements of Pre-School, Kindergarten, First and Second Grade Children Using a Computerized Reading and Language Arts Program。The Word Congress of the World Organization for Early Childhood Education 1920th，(會議日期: 1992/08/03-04)。Flagstaff, AZ。  new window
7.Lester, F. K. Jr.、Garofalo, J.(1987)。The influence of affects, beliefs, and metacognition on problem solving behavior: Some tentative speculations。The Annual Meeting of the American Educational Research Association。Washington, DC。  new window
8.National Council of Supervisors of Mathematics(1988)。Basic Mathematics Skills for the 21th Century。Ross Taylor, NCTM National Convention。Chicago。  new window
研究報告
1.Newell, A.、Shaw, J. C.、Simon, H. A.(1959)。Report on a general problem-solving program。Santa Monica：Rond Corporation。  new window
2.Wilson, K.、Tally, W.(1991)。Classroom Integration of Interactive Multimedia: A Case Study。New York, NY：Center for Technology in Education。  new window
3.Wheatley, G. E.、Wheatley, C. L.(1982)。Calculator use and problem solving strategies of grade sixth pupils。Lafayette, IN：Purduen University。  new window
學位論文
1.Duncan, J. E.(1985)。The heuristics utilized by fifth grade students in solving verbal mathematics problems in a small group setting(博士論文)。University of Arizona。  new window
2.Huang, S. C.(1990)。An investigation of the needs, availability, and usage of media-aided instruction in upper grades elementary science teaching in Taiwan, the Republic of China(博士論文)。University of Northern Colorado，Greeley。  new window
3.Hakansson, S. W.(1990)。The effects of daily problem-solving on problem-solving performance, attitudes towards mathematics, and mathematics achievement(博士論文)。University of California，Los Angeles。  new window
4.Gamett, K. F.(1990)。Developing heuristics in the mathematics problem-solving processes of sixth-grade children: A nonconstructivist teaching experiment(博士論文)。University of South Florida。  new window
5.Johnson, H. A.(1985)。The nature of student monitoring processes in mathematical problem solving tasks(博士論文)。Columbia University。  new window
6.Kilpatrick, J.(1967)。Analyzing the solution of word problems in mathematics: An exploratory study(博士論文)。Stanford University。  new window
7.Ma, H. L.(1994)。A Comparative Study between Traditional Instruction and Modified Multimedia Instruction in Mathematical Problem-Solving Achievements and beliefs(博士論文)。University of Northern Colorado，Greeley。  new window
8.Pan, H. M.(1993)。A Study of Metacognitive Behaviors in Mathematical Problem Solving of Older Elementary School Students in Taiwan, the Republic of China(博士論文)。University of Northern Colorado，Greeley。  new window
圖書
1.吳德邦、吳順治(1988)。解題導向的數學教學策略。台北：五南圖書公司。  延伸查詢new window
2.余奐文(1995)。多媒體實戰手冊。台北：松崗電腦圖書資料有限公司。  延伸查詢new window
3.教育部(1993)。國民小學課程標準。臺北市：教育部。  延伸查詢new window
4.Ambron, S.、Hooper, K.(1990)。Learning with Interactive multimedia--developing and Using Multimedia Tools in Education。WA：Microsoft Press。  new window
5.羅綸新(1994)。多媒體設計。台北：松崗電腦圖書資料有限公司。  延伸查詢new window
6.Alberta Dept. of Education, Edmonton, Curriculum Branch(1990)。Computer Integration Guide: Mathematics, Grades 4-9。Edmonton：Alberta Education Curriculum Branch。  new window
7.Benson, G. M.(1994)。The Lifelong Learning Society: Investing in the New Learning Technology Market Sector。Stephentown, NY：Learning Systems Engineering。  new window
8.Badgett, T.、Sandler, C.(1994)。Creating multimedia on your PC。NY：John Wiley & Sons, Inc.。  new window
9.Bove, T.、Rhode, C.(1990)。Que's Macintosh Multimedia Handbook。Que Corp.。  new window
10.Benson, G. M.(1994)。SUNY/K-12 Learning Technology Partnerships for Enhancing Educational Opportunities in Schools and Homes。Albany：State Univ. of New York：Office of Educational Tech。  new window
11.Bunel, M.、Monis, S.(1992)。Multimedia Applications Development Using DVI Technology。McGraw-Hill, Inc.。  new window
12.Krulik, S.、Reys, R.(1980)。Problem solving in school mathematics, 1980 yearbook。Reston, VA：National Council of Teachers of Mathematics, Inc.。  new window
13.Krulik, S.、Rudnick, J. A.(1984)。Problem solving: A handbook for teachers。Boston：Allyn and Bacon, Inc.。  new window
14.Krutetskii, V. A.(1976)。The psychology of mathematic a liabilities in school children。Chicago：University of Chicago Press。  new window
15.Krulik, S.、Rudnick, J. A.(1987)。Problem solving: A handbook for teachers。Boston：Allyn and Bacon, Inc.。  new window
16.National Council of Teachers of Mathematics(1980)。An agenda for action: Recommendation for school mathematics of the 1980s。Reston, VA：National Council of Teachers of Mathematics。  new window
17.National Council of Teachers of Mathematics(1983)。An agenda for action。Reston, VA：National Council of Teachers of Mathematics。  new window
18.Polya, G.(1957)。How to solve it。New York：Doubleday。  new window
19.Papert, H. M.(1980)。Mind storms。NY：Basic Books, Inc.。  new window
20.Schoenfeld, A. H.(1987)。Cognitive science and mathematics education。Hillsdale, NJ：Erlbaum。  new window
21.Schoenfeld, A. H.(1985)。Mathematical problem solving。New York：Academic。  new window
22.Rowe, H. A. H.(1985)。Problem solving and intelligence。Hillsdale, NJ：Erlbaum。  new window
23.Wiebe, J. H.(1993)。Computer Tools and Problem Solving in Mathematics. Using Technology in the Classroom Series。Wilsonville：Franklin, Beedle & Associates。  new window
24.Weineit, F. E.、Kluwe, R. H.(1987)。Metacognition, motivation, and understanding。Hillsdale, New York：Erlbaum。  new window
25.Flavell, John H.(1985)。Cognitive development。Englewood Cliffs, NJ：Prentice-Hall。  new window
26.National Council of Teachers of Mathematics(1989)。Curriculum and evaluation standards for school mathematics。Reston, VA：National Council of Teachers of Mathematics。  new window
27.Newell, A. J.、Simon, H. A.(1972)。Human problem solving。Prentice-Hall。  new window
單篇論文
1.Thomas, R. G.(1993)。The Effect That Method of Instruction Has on Achievement in Core Academic Content Areas。  new window
其他
1.Duncan, J. E.(1985)。The heuristics utilized by fifth grade students in solving verbal mathematics problems in a small group setting(No. 85-26, 310)。  new window
2.Hakansson, S. W.(1990)。The effects of daily problem-solving on problem-solving performance, attitudes towards mathematics, and mathematics achievement。  new window
3.Gamett, K. F.(1990)。Developing heuristics in the mathematics problem-solving processes of sixth-grade children: A nonconstructivist teaching experiment。  new window
4.Johnson, H. A.(1985)。The nature of student monitoring processes in mathematical problem solving tasks。  new window
5.Kilpatrick, J.(1967)。Analyzing the solution of word problems in mathematics: An exploratory study。  new window
圖書論文
1.蔣德勉(1988)。電腦輔助教學的發展。電腦輔助教學論叢CAI專輯特輯。  延伸查詢new window
2.Ambron, S.(1990)。A short history of hypermedia。The interactive learning revolution。NY：Nichols Publishing。  new window
3.Baker, L.、Brown, A. L.(1984)。Metacognitive skills and reading。Handbook of reading research。New York：Longman。  new window
4.Baker, P. G.(1989)。Multi-media CAL。Multi-media computer assisted learning。NY：Nichols Publishing。  new window
5.Brown, A. L.(1980)。Metacognitive development and reading。Theoretical issues in reading comprehension。Hillsdale, NJ：Lawrence Erlbaum Associates。  new window
6.Brown, A. L.(1978)。Knowing when, where, and how toremember: A problem of metacognition。Advanced in instructional psychology。Hillsdale, NJ：Lawrence Erlbaum Associates。  new window
7.Brown, J. S.、Collins, A.、Harris, G.(1978)。Artificial Intelligence and learning strategies。Learning strategies。NY：Academic Press。  new window
8.Brown, A. L.、Bransford, J. D.、Ferrara, R. A.、Campione, J. C.(1983)。Learning, remembering, and understanding。Handbook of child psychology: Cognitive development。New York：Wiley。  new window
9.Brown, A. L.(1987)。Metacognition, executive control, self-regulation, and other more mysterious mechanism。Metacognition, motivation, and understanding。Hillsdale, NJ：Lawrence Erlbaum Associates。  new window
10.Lester, F. K.(1980)。Research on mathematical problem solving。Research in mathematics education。The National Council of Teachers of Mathematics。  new window
11.Lucas, J. F.、Branca, N.、Goldberg, D.、Kantowski, M. G.、Kellogg, H.、Smith, J. P.(1984)。A process-sequence coding system for behavioral analysis of mathematical problem solving。Task variables in mathematical problem solving。Philadelphia：The Franklin Institute Press。  new window
12.Mckeachie, W. J.(1987)。The new look in instructional psychology: Teaching strategies for learning and thinking。Learning & instruction。New York：Pergamon。  new window
13.Mayer, R. E.(1985)。Implications of cognitive psychology for instruction in mathematical problem solving。Teaching and learning mathematical problem solving: Multiple research perspective。Hillsdale, NJ：Lawrence Associates。  new window
14.Resnick, L. B.(1987)。Instruction and the Cultivation of thinking。Learning and instruction。NY：Pergamon。  new window
15.Paris, S. G.、Lindauer, B. K.(1982)。The development of cognitive skills during childhood。Handbook of development psychology。Englewood Cliffs, NJ：Prentice-Hall。  new window
16.Schoenfeld, A. H.(1980)。Heuristics in the classroom。Problem solving in school mathematics。Reston, VA：The National Council of Teachers of Mathematics, INC.。  new window
 
 
 
 
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