Development of geometric and measurement ideas

Designing Learning Environments for Developing Understanding of Geometry and Space

Volumn , Issue , 2012, Pages 201-226

  Clements, Douglas H ^a   Battista, Michael T ^b   Sarama, Julie ^c  

^a UNIVERSITY AT BUFFALO   (United States)

^b KENT STATE UNIVERSITY   (United States)

^c WAYNE STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85070600792     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9780203053461-14     Document Type: Chapter

References (29)

1. Clements, D. H., & Battista, M. T. (1989). Learning of geometric concepts in a Logo environment. Journal for Research in Mathematics Education, 20, 450-467.
2. Clements, D. H., & 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.
3. Clements, D. H., & Battista, M. T. (1991). The development of a Logo-based elementary school geometry curriculum (Final Report, NSF Grant No. MDR-8651668). Buffalo, NY/Kent, OH: State University of New York at Buffalo/Kent State University Presses.
4. Clements, D. H., & Battista, M. T. (1992). Geometry and spatial reasoning. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 420-464). New York: Macmillan.
5. Clements, D. H., Battista, M. T., Akers, J., Woolley, V., Meredith, J. S., & McMillen, S. (1995). Turtle paths. Cambridge, MA: Dale Seymour.
6. Clements, D. H., Battista, M. T., Sarama, J., & Swaminathan, S. (1996). Development of turn and turn measurement concepts in a computer-based instructional unit. Educational Studies in Mathematics, 30, 313-337.
7. Clements, D. H., Battista, M. T., Sarama, J., Swaminathan, S., & 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.
8. Clements, D. H., & Meredith, J. S. (1993). Research on Logo: Effects and efficacy. Journal of Computing in Childhood Education, 4, 263-290.
9. Clements, D. H., & Sarama, J. (1995). Design of a Logo environment for elementary geometry. Journal of Mathematical Behavior, 14, 381-398.
10. Clements, D.H., & Sarama, J. (1996). Geo-Logo [Computer software]. Logo Computer Systems, Palo Alto, CA: Dale Seymour Publications.
11. Davis, R. B. (1984). Learning mathematics: The cognitive science approach to mathematics education. Norwood, NJ: Ablex.
12. Hershkowitz, R., Ben-Chaim, D., Hoyles, C, Lappan, G., Mitchelmore, M., & Vinner, S. (1990). Psychological aspects of learning geometry. In P. Nesher & J. Kilpatrick (Eds.), Mathematics and cognition: A research synthesis by the International Group for the Psychology of Mathematics Education (pp. 70-95). Cambridge: Cambridge University Press.
13. Hoyles, C, & Sutherland, R. (1986). When 45 equals 60. London: University of London Institute of Education, Microworlds Project.
14. Hoyles, C, & Sutherland, R. (1989). Logo mathematics in the classroom. London: Routledge.
15. Johnson-Gentile, K., Clements, D. H., & Battista, M. T. (1994). The effects of computer and noncomputer environment on students’ conceptualizations of geometric motions. Journal of Educational Computing Research, 11, 121-140.
16. Kieran, C. (1986a). Logo and the notion of angle among fourth and sixth grade children, Proceedings of PME 10 (pp. 99-104). London: City University Press.
17. Kieran, C. (1986b). Turns and angles: What develops in Logo? In G. Lappan & R. Even (Eds.), Proceedings of the Eighth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics (pp. 169-177). East Lansing, MI: PME-NA Program Committee.
18. Kieran, C, Hillel, J., & Erlwanger, S. (1986). Perceptual and analytical schemas in solving structured turtle-geometry tasks. In C. Hoyles, R. Noss, & R. Sutherland (Eds.), Proceedings of the Second Logo and Mathematics Educators Conference (pp. 154-161). London: University of London Press.
19. 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 (Vol. II, pp. 254-261). Genoa, Italy: Program Committee, 15th PME Conference.
20. Lindquist, M. M., & Kouba, V. L. (1989). Geometry. In M. M. Lindquist (Ed.), Results from the Fourth Mathematics Assessment of the National Assessment of Educational Progress (pp. 44-54). Reston, VA: National Council of Teachers of Mathematics.
21. Noss, R. (1987). Children’s learning of geometrical concepts through Logo. Journal for Research in Mathematics Education, 18, 343-362.
22. Olive, J., Lankenau, C. A., & Scally, S. P. (1986). Teaching and understanding geometric relationships through Logo: Phase II. Interim Report: The Atlanta-Emory Logo Project. Atlanta, GA: Emory University Press.
23. Petitto, A. L. (1990). Development of numberline and measurement concepts. Cognition and Instruction, 7, 55-78.
24. Piaget, J., & Inhelder, B. (1967). The child’s conception of space. New York: Norton.
25. Porter, A. (1989). A curriculum out of balance: The case of elementary school mathematics. Educational Researcher, 18, 9-15.
26. Singer, D. G., Singer, J. L., & Zuckerman, D. M. (1981). Teaching television. New York: Dial.
27. Steffe, L. P. (1991). Operations that generate quantity. Learning and Individual Differences, 3, 61-82.
28. Strauss, A., & Corbin, J. (1990). Basics of qualitative research: Grounded theory procedures and techniques. Newbury Park, CA: Sage.
29. van Hiele, P. M. (1986). Structure and insight. Orlando, FL: Academic Press.