The effects of metacognitive instruction on solving mathematical authentic tasks

Educational Studies in Mathematics

Volumn 49, Issue 2, 2002, Pages 225-250

  Kramarski, Bracha ^a   Mevarech, Zemira R ^a   Arami, Marsel ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

Authentic tasks; Cooperative learning; Metacognition; Problem solving

Indexed keywords

EID: 0345706880     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/A:1016282811724     Document Type: Article

References (49)

1. rd ed.), Freeman, New York.
2. Brown, A.L., Bransford, J.D. Ferrara, R.A. and Campione, J.C.: 1983, 'Learning, remembering, and understanding', in J.H. Flavell and E.M. Markman (eds.), Handbook of Child Psychology: Vol. 3, Cognitive Development, Wiley, New York, pp. 77-166.
3. Cai, J.: 2000, Problem-Based Mathematics Instruction: Promises and Challenges, Paper presented at the ICME-9 Congress in Makuhari, Japan, in Topic Group 11, Problem Solving in Mathematics.
4. Cardelle-Elawar, M.: 1995, 'Effects of metacognitive instruction on low achievers in mathematics problems', Teaching and Teacher Education 11(1), 81-95.
5. Cobb, P.: 1994, 'Where is the mind? Constructivist and sociocultural perspectives on mathematical development', Educational Researcher 23, 13-20.
6. Cohen, E.G.: 1996, A Sociologist Looks at Talking and Working Together in the Mathematics Classroom, Paper presented at the American Educational Research Association, NY.
7. Cross, D.R. and Paris, S.C: 1988, 'Developmental and instrumental analysis of children's metacognition and reading comprehension', Journal of Educational Psychology 80, 131-142.
8. Darling-Hammond, L.: 1992, Reforming the School Reform Agenda: Developing Capacity for School Transformation, Eric ED. 347656.
9. Davidson, N.: 1990, Cooperative Learning in Mathematics, Academic Press, New York.
10. Flavell, J.H.: 1978, 'Metacognitive development', in J.M. Scandura and C.J. Brainerd (eds.), Structural Process Theories of Complex Human Behavior, Sijtoff & Noordhoff, Arphen a/d Rijn, The Netherlands, pp. 213-245.
11. Forman, S.L. and Steen, L.A.: 2000, Making Authentic Mathematics Work for all Students, Eric ED. 440848.
12. Fry, S.M.: 1987, 'The NCTM standards: Challenges for all classrooms', Mathematics Teacher 2, 313-317.
13. Fuchs, L.S., Fuchs, D., Hamlett, C.L. and Karns, K.: 1998, 'High-achieving students' interactions and performance on complex mathematical tasks as a function of homogeneous and heterogeneous pairings', American Educational Research Journal 35(2), 227-267.
14. Hattie, J., Biggs, J. and Purdie, N.: 1996, 'Effects of learning skills interventions on students learning: a meta-analysis', Review of Educational Research 66, 99-136.
15. Hembree, R.: 1992, 'Experiments and relational studies in problem solving: A metaanalysis', Journal for Research in Mathematics Education 23(3), 242-273.
16. Hegarty, M., Mayer, R.E. and Monk, C.A.: 1995, 'Comprehension of arithmetic word problems: A comparison of successful and unsuccessful problem solvers', Journal of Educational Psychology 87, 18-32.
17. Hoek, D., Eden, P. and Terwel, J.: 1999, 'The effects of integrated social and cognitive strategy instruction on the mathematics achievement in secondary education', Learning and Instruction 9, 427-448.
18. Jacobs, J. and Paris, S.: 1987, 'Children's metacognition, measurement, and instruction', Educational Psychologist 22, 255-278.
19. King, A.: 1989, 'Effects of self-questioning training on college students' comprehension of lectures', Contemporary Educational Psychology 14, 366-381.
20. King, A.: 1991, 'Effects of training in strategic questioning on children's problem-solving performance', Journal of Educational Psychology 83, 307-317.
21. King, A.: 1994, 'Guiding knowledge construction in the classroom: Effects of teaching children how to question and how to explain', American Educational Research Journal 31, 338-368.
22. Kramarski, B.: 2000, 'The effects of different instructional methods on the ability to communicate mathematically', in Tadao Nakahara and Masataka Koyama (eds.), Education, Proceedings of the 24 Conference of the International Group for the Psychology of Mathematics Mathematical Reasoning, Hiroshima University, Hiroshima, Japan, 1, pp. 167-171.
23. Kramarski, B., Mevarech, Z.R. and Liberman, A.: 2001, 'The effects of multilevel - versus unilevel-metacognitive training on mathematical reasoning', Journal for Educational Research 94(5), 292-300.
24. Kramarski, B., and Mevarech, Z.R.: in press, 'Enhancing mathematical reasoning in the classroom; Effects of cooperative learning and metacognitive training', American Educational Research Journal.
25. Lampert, L.: 1990, 'When the problem is not the question and the solution is not the answer: Mathematical; knowing and teaching', American Educational Research Journal 27(1), 29-63.
26. Lester, F.K.: 1994, 'Musing about mathematical problem solving research: 1970-1994', Journal for Research in Mathematical Education 25(6), 660-675.
27. Lester, F.K., Garofalo, J. and Kroll, D.L.: 1989, The Role of Metacognition in Mathematical Problem Solving: A Study of Two Grade Seven Classes, (Final Report), Indiana University, Mathematics Education Development Center, Bloomington.
28. Mayer, E.R.: 1987, Educational Psychology, Little Brown, Boston.
29. Mevarech, Z.R: 1999, 'Effects of metacognitive training embedded in cooperative settings on mathematical problem solving', The Journal of Educational Research 92(4), 195-205.
30. Mevarech, Z.R. and Kramarski, B.: 1997, 'IMPROVE: A multidimensional method for teaching mathematics in heterogeneous classrooms', American Educational Research Journal 34(2), 365-395.
31. National Council of Teacher of Mathematics: 2000, Principles and Standards for School Mathematics, Author, Reston, VA.
32. OECD: 2000, Measuring Students Knowledge and Skills, The PISA 2000 assessment of reading, mathematical and scientific literacy.
33. Prawat, R.S.: 1998, 'Current self-regulation views of learning and motivation viewed through a Dewey an lens: The problems with dualism', American Educational Research Journal 35(2), 199-224.
34. Pressley, M., Borkowski, J.G. and O'Sullivan, J.T.: 1985, 'Children metamemory and the teaching of memory strategies', in D.L. Forest-Pressley, G.E. Mackinnon and T.G. Waller (eds.), Metacognition, cognition, and human performance, Academic Press, New York.
35. Qin, Z., Johnson, D.W. and Johnson, R.T.: 1995, 'Cooperative versus competitive efforts and problem solving', Review of Educational Research 65, 129-144.
36. Rose, T. and Schuncke, G.M.: 1997, 'Problem solving. The link between social studies and mathematics', Cleaning House 70(3), 137-140.
37. Salomon, G., Globerson, T., and Guterman, E.: 1989, 'The computer as a zone of proximal development: Internalizing reading-related metacognition from a reading partner', Journal of Educational Psychology 81, 620-627.
38. Schoenfeld, A.H.: 1987, 'What's all the fuss about metacognition?' in A.H. Schoenfeld (ed.), Cognitive Science and Mathematics Education, Erlbaum, Hillsdale, NJ, pp. 19-216.
39. Schoenfeld, A.H.: 1992, 'Learning to think mathematically: problem solving, metacognition, and sense making in mathematics', in D.A. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, MacMillan, New York, pp. 165-197.
40. Silver.: 1994, 'Mathematics thinking and reasoning for all students: moving from rhetoric to reality', in D. Robitaille, D. Wheeler and C. Kieran (eds.), Selected Lectures from the 7th International Congress on Mathematical Education, Le presse de l'université Lavel, Sainte-Foy, Quebec, Canada, pp. 311-326.
41. Stacey and Kay: 1992, 'Mathematical problem solving in groups - Are two heads better than one?' Journal of Mathematical Behavior 11(3), 261-275.
42. Symons, S. and Greene, C.: 1993, 'Elaborative interrogation and children's learning of unfamiliar facts', Applied Cognitive Psychology 7, 219-228.
43. Swanson, H.L.: 1990, 'Influence of metacognitive knowledge and aptitude on problem solving', Journal of Educational Psychology 82(2), 306-314.
44. TIMSS: 1999, Third International Mathematics and Science Study, The International Study Center, Lynch School of Education, Boston College.
45. Verschaffel, L., Greer, B. and De Corte, E.: 2000, Making Sense of Word Problems, Swets and Zeitlinger, Lisse, ISBN 90-265-1628-2.
46. Webb, N.M.: 1989, 'Peer interaction and learning in small groups', International Journal of Educational Research 13, 21-40.
47. Webb, N.M.: 1991, 'Task-related verbal interaction and mathematics learning in small groups', Journal for Research in Mathematics Education 22, 366-389.
48. Webb, N. and Farivar, S.: 1994, 'Promoting helping behavior in cooperative small groups in middle school mathematics', American Educational Research Journal 31, 369-396.
49. Wittrock, M.C.: 1986, 'Students' thought processes', in M.C Wittrock (ed.), Handbook of Research on Teaching, (3 ed.), Macmillan, New York.