Students' development of strategies for turn and angle measure

Educational Studies in Mathematics

Volumn 41, Issue 1, 2000, Pages 31-45

  Clements, Douglas H ^a   Burns, Barbara A ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4644277668     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/A:1003938415559     Document Type: Article

References (22)

1. Anderson, J.R. (eds.): 1993, Rules of the mind. Hillsdale, NJ: Lawrence Erlbaum.
2. Clements, D.H. and Battista, M.T.: 1989, 'Learning of geometric concepts in a Logo environment', Journal for Research in Mathematics Education 20, 450-467.
3. Clements, D.H. and Battista, M.T.: 1990, 'The effects of Logo on children's conceptualizations of angle and polygons', Journal for Research in Mathematics Education 21, 356-371.
4. Clements, D.H. and Battista, M.T.: 1992, 'Geometry and spatial reasoning', in D.A. Grouws (ed.), Handbook of research on mathematics teaching and learning, Macmillan, New York, pp. 420-464.
5. Clements, D.H., Battista, M.T., Sarama, J. and Swaminafhan, S.: 1996, 'Development of turn and turn measurement concepts in a computer-based instructional unit', Educational Studies in Mathematics 30, 313-337.
6. Clements, D.H., Battista, M.T., Sarama, J., Swaminathan, S. and McMillen, S.: 1997, 'Students' development of length measurement concepts in a Logo-based unit on geometric paths', Journal for Research in Mathematics Education 28 (1), 70-95.
7. Clements, D.H. and Meredith, J.S.: 1994, Turtle math [Computer program], Logo Computer Systems, Inc. (LCSI), Montreal, Quebec.
8. Clements, D.H. and Sarama, J.: 1995, 'Design of a Logo environment for elementary geometry', Journal of Mathematical Behavior 14, 381-398.
9. Cope, P. and Simmons, M.: 1991, 'Children's exploration of rotation and angle in limited Logo microworlds', Computers in Educ. 16, 133-141.
10. El'konin, D.B. and Davydov, V.V.: 1975, 'Children's capacity for learning mathematics', in L.P. Steffe (ed.), Soviet studies in the pyschology of learning and teaching mathematics. University of Chicago, Chicago.
11. Johnson, M.: 1987, The body in the mind, The University of Chicago Press, Chicago.
12. Kieran, C.: 1986, 'Logo and the notion of angle among fourth and sixth grade children', in Proceedings of the Tenth Annual Conference of the International Group for the Psychology of Mathematics Education, City University, London, England, pp. 99-104.
13. Kieran, C., Hillel, J. and Erlwanger, S.: 1986, 'Perceptual and analytical schemas in solving structured turtle-geometry tasks', in C. Hoyles, R. Noss and R. Sutherland (ed.), Proceedings of the Second Logo and Mathematics Educators Conference, University of London, London, England, pp. 154-161.
14. Krainer, K.: 1991, 'Consequences of a low level of acting and reflecting in geometry learning - Findings of interviews on the concept of angle', in F. Furinghetti (ed.), Proceedings of the Fifteenth Annual Conference of the International Group for the Psychology of Mathematics Education, Program Committee, 15th PME Conference, Assisi, Italy, pp. 254-261.
15. Krutetskii, V.A.: 1976, The psychology of mathematical abilities in schoolchildren, University of Chicago Press, Chicago.
16. Laborde, C.: 1996, A new generation of diagrams in dynamic geometry software', in E. Jakubowski, D. Watkins and H. Biske (ed.), Proceedings of the Eighteenth Annual Meeting of the North America Chapter of the International Group for the Psychology of Mathematics Education. Columbus, OH.
17. Magina, S. and Hoyles, C.: 1997, 'Children's understandings of turn and angle', in T. Nunes and P. Bryant (ed.), Learning and teaching mathematics: An international perspective, Psychology Press, East Sussex, England, pp. 99-114.
18. Mitchelmore, M.C.: 1998, 'Young students' concepts of turning and angle', Cognition and Instruction 16, 265-284.
19. Noss, R.: 1987, 'Children's learning of geometrical concepts through Logo', Journal for Research in Mathematics Education 18, 343-362.
20. Olive, J., Lankenau, C.A. and Scally, S.P.: 1986, Teaching and understanding geometric relationships through Logo: Phase II. Interim Report: The Atlanta-Emory Logo Project, Emory University, Atland, GA.
21. Siegler, R.S.: 1996, Emerging minds: The process of change in children's thinking, Oxford University Press, New York.
22. Steffe, L.P.: 1994, 'Children's multiplying schemes, in G. Harel and J. Confrey (ed.), The development of multiplicative reasoning in the learning of mathematics, SUNY Press, Albany, NY, pp. 3-39.