References
- Bills , C. J. 2000a , ‘The role of re-presented experience in mental calculation: A case study’ . In A. Gagatsis and G. Makrides Second Mediterranean Conference on Mathematics Education , Vol. 2 (pp. 290 – 299 ). Nicosia, , Cyprus .
- Bills , C. J. 2000b . “ ‘The influence of teachers’ presentations on pupils’ mental representations’ ” . In Research in Mathematics Education Volume 2: Papers of the British Society for Research into Learning Mathematics , Edited by: Rowland , T. and Morgan , C. 45 – 60 . London : British Society for Research into Learning Mathematics .
- Bills , C. J. & Gray , E. M. 1999 , ‘Pupils’ images of teachers’ representations’ . In O. Zaslavsky Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education , Vol. 2 (pp. 113 – 120 ). Haifa .
- Black , M. 1979 . “ ‘More about Metaphor’ ” . In Metaphor and Thought , Edited by: Ortony , A. 19 – 43 . Cambridge : Cambridge University Press .
- Gray , E. , Pitta , D. & Tall , D. 1997 , ‘The nature of the object as an integral component of numerical processes.’ E. Pehkonen Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education , Vol. 1 (pp. 115 – 130 ). Lahti .
- Johnson , M. 1987 . The Body in the Mind , Chicago : University of Chicago Press .
- Kang , W. and Kilpatrick , J. 1992 . ‘Didactic transposition in mathematics textbooks’ . For the Learning of Mathematics , 12 ( 1 ) : 2 – 7 .
- Lakoff , G. and Johnson , M. 1980 . Metaphors We Live By , Chicago : The University of Chicago Press .
- Lakoff , G. and Nunez , R. E. 1997 . “ ‘The metaphorical structure of mathematics’ ” . In Mathematical Reasoning: Analogies, Metaphors, and Images , Edited by: English , L. D. 21 – 89 . Mahwah, NJ : Lawrence Erlbaum Associates .
- Mason , J. and Pimm , D. 1984 . Generic examples: Seeing the general in the particular . Educational Studies in Mathematics , 15 ( 3 ) : 277 – 289 .
- Mercer , N. , Wegerif , R. and Dawes , L. 1999 . ‘Children's talk and the development of reasoning in the classroom’ . British Educational Research Journal , 25 ( 1 ) : 95 – 111 .
- Piaget , J. 1928 . Judgement and Reasoning in the Child , London : Routledge and Kegan Paul .
- Pimm , D. 1995 , Symbols and Meanings in School Mathematics . London : Routledge .
- Resnick , L. B. and Ford , W. W. 1981 . The Psychology of Mathematics for Instruction , Hillsdale : Lawrence Erlbaum Associates .
- Rowland , T. 1992 . ‘Pointing with pronouns’ . For the Learning of Mathematics , 12 ( 2 ) : 44 – 48 .
- Rowland , T. 1999 . ‘Pronouns in mathematics talk: Power, vagueness and generalisation’ . For the Learning of Mathematics , 19 ( 2 ) : 19 – 26 .
- Sfard , A. 1994 . ‘Reification as the birth of metaphor’ . For the Learning of Mathematics , 14 ( 1 ) : 44 – 55 .
- Tough , J. 1977 , The Development of Meaning: A Study of Children's Use of Language . London : George Allen & Unwin .
- Vygotsky , L.S. 1962 . Thought and Language , Cambridge, Mass : The M.I.T. Press .