Development of angle concepts: A framework for research

Mathematics Education Research Journal

Volumn 10, Issue 3, 1998, Pages 4-27

  Mitchelmore, Michael C ^a   White, Paul ^b  

^a MACQUARIE UNIVERSITY   (Australia)

^b AUSTRALIAN CATHOLIC UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 52849083086     PISSN: 10332170     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03217055     Document Type: Article

References (21)

1. Clements, D. H., & Battista, M. T. (1989). Learning of geometrical concepts in a Logo environment. Journal for Research in Mathematics Education, 20, 450-467.
2. Close, G. S. (1982). Children's understanding of angle at the primary/secondary transfer stage. London, England: Polytechnic of the South Bank.
3. Davey, G., & Pegg, J. (1991, July). Angles on angles: students' perceptions. Paper presented at the 14th annual conference of the Mathematics Education Research Group of Australasia, Perth.
4. Foxman, D., & Ruddock, G. (1984). Concepts and skills: Line symmetry and angle. Mathematics in Schools, March, 9-13.
5. Greeno, J. G. (1983): Conceptual entities. In D. Gentner & A. L. Stevens (Eds.), Mental models (pp. 227-252). Hillsdale, NJ: Lawrence Erlbaum.
6. Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22, 170-218.
7. Heath, T. L. (1956). The thirteen books of Euclid's Elements (Vol. 1). New York, NY: Dover Publications.
8. Krainer, K. (1989). Lebendige Geometrie: Clberlegungen zu einem integriven Verstiändnis von Geometrieunterricht anhand des Winkelbegriffs. [Living geometry: Deliberations on a comprehensive understanding of geometry teaching as exemplified by the angle concept.] Frankfurt, Germany: Lang.
9. Lo, J.-J., Gaddis, K., & Henderson, D. (1996). Building upon student experience in a college geometry course. For the Learning of Mathematics, 16(1), 34-40.
10. Mitchelmore, M. C., & Raynor, B. (1967). Joint Schools Project mathematics (Book 1). Harlow, England: Longmans.
11. Mitchelmore, M. C. (1983). Children's learning of geometry: Report of a cooperative research project. Caribbean Journal of Education, 10, 179-228.
12. Mitchelmore, M. C. (1989). The development of children's concepts of angle. In G. Vergnaud (Ed.), Proceedings of the 13th conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 304-311). Paris, France: Program Committee.
13. Mitchelmore, M. C. (1990). Psychologische und mathematische Schwierigkeiten beim Lernen des Winkelbegriffs. [Psychological and mathematical difficulties in learning the angle concept.] Mathematica Didactica, 13, 19-37.
14. Mitchelmore, M. C. (1992). Children's concepts of perpendiculars. In W. Geeslin & K. Graham (Eds.), Proceedings of the 16th conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 120-127). Durham, NH: Program Committee.
15. Mitchelmore, M. C. (1997). Children's informal knowledge of physical angle situations. Learning and Instruction, 7, 1-19.
16. Mitchelmore, M. C. (1998). Young students' concepts of turning. Cognition and Instruction, 16, 265-284.
17. New South Wales Department of Education (1989). Mathematics K-6. Sydney: Author.
18. Outhred L. (1987). Left angle or right angel: Children's misconceptions of angle. Research in Mathematics Education in Australia, August, 41-47.
19. Strehl, R. (1983). Anschauliche Vorstellung und mathematische Theorie beim Winkelbegriff. [Visualisation and mathematical theory of the angle concept.] Mathematica Didactica, 6, 129-146.
20. Vinner, S. (1990). The role of definitions in the teaching and learning of mathematics. In D. Tall (Ed.), Advanced mathematical thinking (pp. 65-81). Dordrecht, The Netherlands: Kluwer.
21. Wilson, P. S., & Adams, V. M. (1992). A dynamic way to teach angle and angle measure. Mathematics Teacher, 39(5), 6-13.