The effect of promoting heuristic literacy on the mathematical aptitude of middle-school students

International Journal of Mathematical Education in Science and Technology

Volumn 38, Issue 1, 2007, Pages 1-17

  Koichu, B ^a   Berman, A ^a   Moore, M ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845248022     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/00207390600861161     Document Type: Article

References (27)

1. Goldin, G., 1998, Representational systems, learning, and problem solving in mathematics. Journal of Mathematical Behavior, 17(2), 137-165.
2. Verschaffel, L., 1999, Realistic mathematical modeling and problem solving. In: J. H. M. Hamers, J. E. H. Van Luit and B. Csapo (Eds) Teaching and Learning Thinking Skills (Lisse: Swets & Zeitlinger), pp. 215-239.
3. Schoenfeld, A., 1985, Mathematical Problem Solving (New York: Academic Press).
4. NCTM (National Council of Teachers of Mathematics), 2000, Principles and Standards for Teaching Mathematics (Reston, VA: NCTM).
5. Pólya, G., 1945/1973, How to Solve it (Princeton, NJ: Princeton University Press).
6. Leinhardt, G. and Schwarz, B., 1997, Seeing the problem: an explanation from Pólya. Cognition and Instruction, 15, 395-434.
7. Mayer, R.E., 1992, Thinking, Problem Solving, Cognition, 2nd edn (New York: Freeman).
8. Schoenfeld, A., 1979, Explicit heuristic training as a variable in problem-solving performance. Journal of Research in Mathematical Education, 10, 173-187.
9. Schoenfeld, A., 1992, Learning to think mathematically: problem solving, metacognition, and sense-making in mathematics. In: D. Grouws (Ed.), Handbook for Research on Mathematics Teaching and Learning (New York: MacMillan), pp. 334-370.
10. Hembree, R., 1992, Experiments and relational studies in problem solving: a meta-analysis. Journal for Research in Mathematical Education, 23, 242-273.
11. Goldin, G., 1992, Meta-analysis of problem-solving studies: a critical response. Journal for Research in Mathematical Education, 23, 274-283.
12. Mauch, E. and Shi, Y., 2003, One approach to explore a range of problem solving strategies in a classroom. International Journal of Mathematical Education in Science and Technology, 35, 912-917.
13. Koichu, B., 2003, Junior high school students' heuristic behaviors in mathematical problem solving. PhD Thesis, Technion - Israel Institute of Technology.
14. Cohen, J., 1988, Statistical Power Analysis for the Behavioral Sciences, 2nd edn (New Jersey: Lawrence Erlbaum).
15. Cook, T. and Campbell, D., 1979, Quasi-experimentation. Design and Analysis Issues for Field Settings (Chicago: Rand McNally).
16. Wilkinson, L. and Task Force on Statistical Inference, 1999, Statistical methods in psychology journals: Guidelines and explanations. American Psychologist, 54, 594-604.
17. Guilford, J. and Fruchter, B., 1973, Fundamental Statistics in Psychology and Education (New York: McGraw-Hill).
18. Winer, B., 1971, Statistical Principles in Experimental Design (New York: McGraw-Hill).
19. Young, J. and Kobrin, J., 2001, Differential validity, differential prediction, and college admission testing: A comprehensive review and analysis. Research report No. 2001-6. Available online at: http://www.collegeboard.com/ repository/differential_validity_10539.pdf (Accessed 24 June, 2005).
20. Stanley, J. and Benbow, C., 1981-82, Using the SAT to find intellectually talented seventh graders. College Board Review, 122, 2-7, 26.
21. Zohar, A., 1990, Mathematical reasoning ability: Its structure, and some aspects of its genetic transmission. PhD thesis, Hebrew University, Jerusalem.
22. Raven, J., Court, J. and Raven, J., 1983, Manual for Raven's Progressive Matrices and Vocabulary Scales (London: Lewis).
23. Carpenter, P., Just, M. and Shell, P., 1990, What one intelligence test measures: A theoretical account of the processing in the Raven Matrices Test. Psychological Review, 97, 404-431.
24. Schneiderman O., Levit E., Marcu L., & Zakharova A., 2003. From Mediocrity to Excellence: The MOFET Group for the Advancement of Teaching. In: E. Velikova (Ed.) Proceedings of the 3rd International Conference 'Creativity in Mathematics Education and the Education of Gifted Students' (pp. 144-149). (Rousse, Bulgaria, University of Rousse).
25. Koichu, B., 2001. Evaluation of mathematics education in secondary school classes of the project MOFET. Technical report to Ort Israel and Association MOFET (in Hebrew).
26. Koichu, B., Berman, A. and Moore, M., 2004, Promotion of heuristic literacy in a regular mathematics classroom. For the Learning of Mathematics, 24(1), 33-39.
27. Schoenfeld, A., 1987, What's all the fuss about metacognition? In: A. Schoenfeld (Ed.) Cognitive Science and Mathematics Education (Hillsdale, NJ: Lawrence Erlbaum), pp. 189-215.