Do it this way! metacognitive strategies in collaborative mathematical problem solving

Educational Studies in Mathematics

Volumn 30, Issue 3, 1996, Pages 229-260

  Goos, Merrilyn ^a   Galbraith, Peter ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010977132     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/BF00304567     Document Type: Article

References (38)

1. Bransford, J., Sherwood, R., Vye, N. and Reiser, J.: 1986, 'Teaching thinking and problem solving', American Psychologist 41, 1078-1089.
2. Campione, J. C., Brown, A. L. and Connell, M. L.: 1989, 'Metacognition: On the importance of understanding what you are doing', in R. I. Charles and E. A. Silver (eds.), The Teaching and Assessing of Mathematical Problem Solving, Reston, Virginia, Erlbaum, NCTM, 93-114.
3. Cobb, P.: 1986, 'Contexts, goals, beliefs and learning mathematics', For the Learning of Mathematics 6(2), 2-9.
4. Collins, A., Brown, J. S. and Newman, S. E.: 1987, Cognitive apprenticeship: Teaching the craft of reading, writing and mathematics. Technical Report No. 403. Bolt, Beranek and Newman, Inc., Cambridge, Massachusetts; Illinois University, Urbana. Centre for the Study of Reading. (ED 284 181).
5. Ericsson, K. A. and Simon, H. A.: 1980, 'Verbal reports as data', Psychological Review 87, 215-251.
6. Ericsson, K. A. and Simon, H. A.: 1984, Protocol Analysis, Cambridge, Massachusetts, MIT Press.
7. Flavell, J. H.: 1976, 'Metacognitive aspects of problem solving', in L. R. Resnick (ed.), The Nature of Intelligence, Hillsdale, New Jersey, Erlbaum, 231-235.
8. Forman, E.: 1989, 'The role of peer interaction in the social construction of mathematical knowledge', International Journal of Educational Research 13, 55-70.
9. Galbraith, P. L. and Clatworthy, N. J.: 1990, 'Beyond standard models - Meeting the challenge of modelling', Educational Studies in Mathematics 21, 137-163.
10. Garofalo, J.: 1987, 'Metacognition and school mathematics', Arithmetic Teacher 34(9), 22-23.
11. Garofalo, J.: 1989, 'Beliefs and their influence on mathematical performance', Mathematics Teacher 82, 502-505.
12. Garofalo, J. and Lester, F. K., Jr.: 1985, 'Metacognition, cognitive monitoring, and mathematical performance', Journal for Research in Mathematics Education 16, 163-176.
13. Genest, M. and Turk, D.: 1981, Think-aloud approaches to cognitive assessment', in T. V. Merluzzi, C. R. Glass and M. Genest (eds.), Cognitive Assessment, New York, The Guilford Press, 233-269.
14. Ginsburg, H. P., Kossan, N. E., Schwartz, R. and Swanson, D.: 1983, 'Protocol methods in research on mathematical thinking', in H. Ginsburg (ed.), The Development of Mathematical Thinking, New York, Academic Press, 7-47.
15. Glaser, R.: 1984, 'Education and thinking: The role of knowledge', American Psychologist 39, 93-104.
16. Kroll, D. L.: 1988, 'Cooperative problem solving and metacognition: A case study of three pairs of women'. Doctoral dissertation, Indiana University. Dissertation Abstracts International, 49, 2958A. (University Microfilms No. 8902580).
17. Lave, J., Smith, S. and Butler, M.: 1989, 'Problem solving as everyday practice', in R. I. Charles and E. A. Silver (eds.), The Teaching and Assessing of Mathematical Problem Solving, Reston, Virginia, Erlbaum, NCTM, 61-81.
18. Lester, F. K., Jr.: 1989, 'Reflections about mathematical problem solving research', in R. I. Charles and E. A. Silver (eds.), The Teaching and Assessing of Mathematical Problem Solving, Reston, Virginia, Erlbaum, NCTM, 115-124.
19. Lester, F. K., Jr. and others: 1989, 'The role of metacognition in mathematical problem solving: A study of two grade seven classes'. Final Report. Indiana University, Bloomington: Mathematics Education Development Centre. (ED 314 255).
20. Lewis, A. B.: 1989, 'Training students to represent arithmetic word problems', Journal of Educational Psychology 81, 521-531.
21. Mason, J., Burton, L. and Stacey, K.: 1985, Thinking Mathematically (Revised ed.), Wokingham, Addison-Wesley.
22. Mayer, R.: 1983, Thinking, Problem Solving, Cognition, New York, W. H. Freeman and Co.
23. McLeod, D. B.: 1988, 'Affective issues in mathematical problem solving: Some theoretical considerations', Journal for Research in Mathematics Education 19, 134-141.
24. Newell, A. and Simon, H. A.: 1972, Human Problem Solving, Englewood Cliffs, New Jersey, Prentice-Hall.
25. Nisbett, R. E. and Wilson, T. D.: 1977, 'Telling more than we can know: Verbal reports on mental processes', Psychological Review 84, 231-259.
26. Perkins, D. N., Simmons, R. and Tishman, S.: 1990, Teaching cognitive and metacognitive strategies', Journal of Structural Learning 10, 285-303.
27. Schoenfeld, A. H.: 1985a, Mathematical Problem Solving, Orlando, Florida, Academic Press.
28. Schoenfeld, A. H.: 1985b, 'Making sense of "out loud" problem-solving protocols', Journal of Mathematical Behavior 4, 171-191.
29. Schoenfeld, A. H.: 1987a, 'Confessions of an accidental theorist', For the Learning of Mathematics 7(1), 30-38.
30. Schoenfeld, A. H.: 1987b, 'What's all the fuss about metacognition?', in A. H. Schoenfeld (ed.), Cognitive Science and Mathematics Education, Hillsdale, New Jersey, Erlbaum, 189-215.
31. Schoenfeld, A. H.: 1988, 'When good teaching leads to bad results: The disasters of "well-taught" mathematics courses', Educational Psychologist 23, 145-166.
32. Schoenfeld, A. H.: 1989, 'Explorations of students' mathematical beliefs and behaviour', Journal for Research in Mathematics Education 20, 338-355.
33. Silver, E. A.: 1982, 'Knowledge organization and mathematical problem solving', in F. K. Lester, Jr. and J. Garofalo (eds.), Mathematical Problem Solving: Issues in Research, Philadelphia, The Franklin Institute Press, 15-25.
34. Silver, E. A.: 1987, 'Foundations of cognitive theory and research for mathematics problem-solving instruction', in A. H. Schoenfeld (ed.), Cognitive Science and Mathematics Education, Hillsdale, New Jersey, Erlbaum, 33-60.
35. Thomas, D. A.: 1988, 'Reading and reasoning skills for math problem solvers', Journal of Reading 32, 244-249.
36. Venezky, R. L. and Bregar, W. S.: 1988, 'Different levels of ability in solving mathematical word problems', Journal of Mathematical Behavior 1, 111-134.
37. Vygotsky, L. S.: 1978, Mind in Society, Cambridge, Massachusetts, Harvard University Press.
38. Wertsch, J. V.: 1985, Vygotsky and the Social Formation of Mind, Cambridge, Massachusetts, Harvard University Press.