References
- Baker , A. 1984 . A Concise Introduction to the Theory of Numbers Cambridge : Cambridge University Press .
- Balacheff , N. 1988 . “ ‘Aspects of proof in pupils' practice of school mathematics’ ” . In Mathematics, Teachers and Children Edited by: Pimm , D. 216 – 235 . London : Hodder and Stoughton .
- Burn , R. P. 1982 . A Pathway into Number Theory Cambridge : Cambridge University Press .
- Davenport , H. 1992 . The Higher Arithmetic () , 6th edition Cambridge : Cambridge University Press .
- Krutetskii , V. A. 1976 . The Psychology of Mathematical Abilities in Schoolchildren Chicago : University of Chicago Press .
- Laplace , P. S. 1901 . A Philosophical Essay on Probabilities New York : Truscott and Emory .
- MacLane , S. 1986 . Mathematics: Form and Function New York : Springer-Verlag .
- Mason , J. and Pimm , D. 1984 . ‘Generic examples: seeing the general in the particular’ . Educational Studies in Mathematics , 15 : 277 – 289 .
- Polya , G. 1954 . Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematics Princeton, NJ : , Princeton University Press .
- Rescher , N. 1980 . Induction: an essay on the justification of inductive reasoning Oxford : Basil Blackwell .
- Semadeni , Z. 1984 . ‘Action proofs in primary mathematics teaching and in teacher training’ . For the Learning of Mathematics , 4 ( 1 ) : 32 – 34 .
- Stamp , M. undated, circa 1980 . “ ‘Perimeter equals area’ ” . In Topics in Mathematics 3 Derby : Association of Teachers of Mathematics .
- Walther , G. 1984 . ‘Action proofs vs. illuminating examples?’ . For the Learning of Mathematics , 4 ( 3 ) : 10 – 12 .