SciELO - Scientific Electronic Library Online

SciELO - Scientific Electronic Library Online

Article References

BANSILAL, Sarah  and  NAIDOOO, Jayaluxmi. Learners engaging with transformation geometryy. S. Afr. j. educ. [online]. 2012, vol.32, n.1, pp. 26-39. ISSN 0256-0100.

    Breen C 1997. Exploring imagery in P, M and E. Paper presented at the 21st conference of the International Group for the Psychology of Mathematics Education. [ Links ]

    Crowley ML 1987. The an Hiele Model of the development of geometric thought. In Lindquist MM (ed.). Learning and teaching geometry, K-12, (pp. 1-16) Reston, VA: National Council of Teachers of Mathematics. [ Links ]

    Department of Basic Education 2011. National curriculum statements. Grades 10 - 12 (General) Mathematics. Pretoria: DBE. [ Links ]

    Department of Education 2003. Curriculum assessment policy statements. Pretoria: Department of Basic Education (DoE). [ Links ]

    Dreyfus T 1991. On the status of visual reasoning in Mathematics and Mathematics education. Paper presented at the 15th Conference of the International Group for the Psychology of Mathematics Education, Italy. [ Links ]

    Duval R 2006. A cognitive analysis of problems of comprehension in the learning of mathematics. Educational Studies in Mathematics, 61:103-131. [ Links ]

    Duval R 2002. The cognitive analysis of problems of comprehension in the learning of mathematics. Mediterranean Journal for Research in Mathematics Education, 1:1-16. [ Links ]

    Edwards LD 2003. The nature of mathematics as viewed from cognitive science. Paper presented at the Third conference of the European society for research in mathematics education, Bellaria, Italy. [ Links ]

    Edwards LD 1997. Exploring the terrority before proof: Students' generalization in a computer microworld for transformation geometry. International Journal of Computers for Mathematical Learning, 1:187-215. [ Links ]

    Ernest P 2006. A semiotic perspective of mathematical activity: The case of number. Educational Studies in Mathematics, 61:67-101. [ Links ]

    Hoffer A 1981. Geometry is more than proof. Mathematics Teacher, 74:11-18. [ Links ]

    Kilpatrick J, Swafford J & Findell B 2001. Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press. [ Links ]

    McLoughlin C 1997. Visual thinking and telepedagogy. Paper presented at the ASCILITE conference, Perth, Australia. [ Links ]

    Naidoo J & Bansilal S 2010. Strategies used by Grade 12 mathematics learners in transformation geometry. Paper presented at the Southern African Association for Research in Mathematics, Science and Technology Education (SAARMSTE) Conference. [ Links ]

    Presmeg NC 2006. Research on visualisation in learning and teaching mathematics. In Gutlerrez A & Bero P (eds). Handbook of research on the psychology of mathematics education: Past, present and future. Rotterdam: Sense Publishers. [ Links ]

    Siegler RS 2003. Implications of cognitive science research for mathematics education. In Kilpatrick J, Martin WB & Schifter DE (eds). A research companion to principles and standards for school mathematics (pp. 219-233). Reston, VA: National Council of Teachers of Mathematics. [ Links ]

    Sproule S 2005. South African students' anchoring strategies in geometrical reflections. In Sunal SC & Mutua K (eds). Research on education in Africa, the Caribbean and the Middle East: Forefronts in research. New York: Information Age Publishing Inc. [ Links ]

    Zazkis R, Dautermann J & Dubinsky E 1996. Coordinating visual and analytical strategies. A study of students' understanding of the group D4. Journal for Research in Mathematics Education, 27:435-457. [ Links ]