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題名:應用認知負荷理論的數學解題教學實驗
書刊名:屏東教育大學學報. 教育類
作者:凃金堂 引用關係
作者(外文):Tu, Chin-tang
出版日期:2012
卷期:38
頁次:頁227-255
主題關鍵詞:認知負荷理論範例教學Cognitive load theoryWorked example instruction
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:18
  • 點閱點閱:58
自1980年代起,以認知負荷理論(cognitive load theory)為理論依據,所進行的數學解題教學實驗中,大多顯示有助於提升學生的數學解題能力。認知負荷理論主張人類的認知資源是有限的,如果學習活動所需的認知資源,超出學習者所能運用的認知資源,則會造成學習者的認知負荷過重,導致學習活動的失敗。認知負荷理論認為解題者是否具有適切的問題基模,是解題成功的重要因素,而透過範例教學(worked example instruction),有助於學生獲得有效的問題基模,進而提升學生的解題能力。 本研究以兩班國小五年級學生為研究對象,實驗組與控制組的學生皆為34位。實驗組接受範例教學法,控制組接受傳統教學法。以實驗組與控制組的教學法為自變項,數學成就測驗前測為共變量,數學成就測驗後測為依變項,所進行的共變數分析研究結果顯示,實驗組調整後的數學成績(M’=84.93)顯著高於控制組調整後的數學成績(M’=71.98)。
Advocators of the Cognitive Load Theory claimed that human cognitive resources were limited. That is to say, if the cognitive resources required for learning activities outran those which learners were able to make use of, it would cause burden on learners’ cognitive load and therefore would lead to failure in learning. The Cognitive Load theorists believed that whether a problem solver has optimal problem schemas was crucial and contributed to the success of problem-solving. Accordingly, through the worked example instruction, learners would acquire effective problem schemas and thus improve their problem solving ability. This study was involved with 68 fifth grade students, who were divided into the experiment group and the control group. The experiment group learned mathematics through the worked example instruction and the control group through the traditional instruction. The results showed that the students who received the worked example instruction gained significantly higher grades (M’=84.93) than those who received the traditional instruction (M’=71.98) in a posttest for mathematical achievement.
期刊論文
1.Chandler, P.、Sweller, J.(1996)。Cognitive load while learning to use a computer program。Applied Cognitive Psychology,10(2),151-170。  new window
2.Ayres, P.(2006)。Impact of reducing intrinsic cognitive load on learning in a mathematical domain。Applied Cognitive Psychology,20,287-298。  new window
3.Van Merriënboer, Jeroen J. G.、Sweller, John(2005)。Cognitive Load Theory and Complex Learning: Recent Developments and Future Directions。Educational Psychology Review,17(2),147-177。  new window
4.Sweller, John、Cooper, Graham A.(1985)。The use of worked examples as a substitute for problem solving in learning algebra。Cognition and Instruction,2(1),59-89。  new window
5.Van Gog, T.、Paas, F.、Van Merrienboer, J. J. G.(2008)。Effects of studying sequences of process-oriented and product-oriented worked examples on troubleshooting transfer efficiency。Learning and Instruction,18,211-222。  new window
6.Kalyuga, S.、Sweller, J.(2004)。Measuring knowledge to optimize cognitive load factors during instruction。Journal of Educational Psychology,96(3),558-568。  new window
7.Carroll, W.(1994)。Using worked examples as an instructional support in the algebra classroom。Journal of Educational Psychology,86,360-367。  new window
8.陳密桃(20031200)。認知負荷理論及其對教學的啟示。教育學刊,21,29-51。new window  延伸查詢new window
9.Chi, M. T. H.、Feltovich, P. J.、Glaser, R.(1981)。Categorization and representation of physics problems by experts and novices。Cognitive Science,5(2),121-152。  new window
10.Sweller, John、van Merrienboer, Jeroen J. G.、Paas, Fred G. W. C.(1998)。Cognitive architecture and instructional design。Educational Psychology Review,10(3),251-296。  new window
11.郭惠雯(2008)。背不動的「數學」書包--從認知負荷觀點談數學學習。師說,204,19-20。  延伸查詢new window
12.吳金聰、施木炎(2005)。國小數學教學的問題及其解決之道--從認知負荷的觀點談起。國教天地,162,23-28。  延伸查詢new window
13.郭秀緞(2005)。以認知負荷的觀點探討數學問題設計的適切性。教育研究,13,169-182。  延伸查詢new window
14.Mwangi, W.、Sweller, J.(1998)。Learning to solve compare word problems: The effect of example format and generating self-explanations。Cognition and Instruction,16,173-199。  new window
15.Scheiter, K.、Gerjets, P.、Schuh, J.(2010)。The acquisition of problem-solving skills in mathematics: How animations can aid understanding of structural problem features and solution procedures。Instructional Science,38(5),487-502。  new window
16.Hilbert, T. S.、Renkl, A.、Kessler, S.、Reiss, K.(2008)。Learning to prove in geometry: learning from heuristic examples and how it can be supported。Learning and Instruction,18,54-65。  new window
17.Kalyuga, S.、Ayres, P.、Chandler, P.、Sweller, J.(2003)。Expertise reversal effect。Educational Psychologist,38,23-31。  new window
圖書
1.Mayer, R. E.(2008)。Learning and instruction。Pearson Education。  new window
2.Plass, J. L.、Moreno, R.、Brünken, R.(2010)。Cognitive load theory。New York, NY:Cambridge University Press。  new window
3.Pólya, George(1945)。How to solve it: A new aspect of mathematical method。Princeton, NJ:Princeton University Press。  new window
4.Cohen, J.(1988)。Statistical power and analysis for the behavioral sciences。Hillsdale, NJ:Lawrence Erlbaum Associates。  new window
5.National Council of Teachers of Mathematics(2000)。Principles and standards for school mathematics。Reston, Virginia:National Council of Teachers of Mathematics。  new window
6.National council of teachers of mathematics(1980)。An Agenda for Action。Reson, VA:NCTM。  new window
7.Hayes, J. R.(1989)。The complete problem solver。Hillsdale, New Jersey:Lawrence Erlbaum Associates。  new window
8.Schoenfeld, A. H.(1985)。Mathematical problem solving。Orlando, Florida。  new window
9.National Council of Teachers of Mathematics(1989)。Curriculum and evaluation standards for school mathematics。Reston, VA:National Council of Teachers of Mathematics。  new window
10.Sweller, John、Ayres, Paul、Kalyuga, Slava(2011)。Cognitive load theory。Springer Verlag。  new window
11.Renkl, A.、Atkinson, R. K.(2010)。Learning from worked-out examples and problem solving。Cognitive load theory and research in educational psychology。New York, NY。  new window
其他
1.教育部(2011)。97年國民中小學九年一貫課程綱要,http://teach.eje.edu.tw/9CC2/9cc_97.php, 20110905。  延伸查詢new window
圖書論文
1.Lakin, J. H.(1985)。Understanding, problem representation, and skill in physics。Thinking and learning skills. Vol.2: Research and open questions。Hillsdale, NJ:Lawrence Erlbaum Associates。  new window
 
 
 
 
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