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Direct linkSedaghatjou, Mina; Campbell, Stephen R. – International Journal of Mathematical Education in Science and Technology, 2017
This paper explores how a young child (56 m) builds an understanding of the cardinality principle through communicative, touchscreen-based activities involving talk, gesture and body engagement working via multimodal, touchscreen interface using contemporary mobile technology. Drawing upon Nemirovsky's perceptuomotor integration theoretical lens…
Descriptors: Manipulative Materials, Phenomenology, Preschool Children, Mathematics Instruction
Gauthier, N. – International Journal of Mathematical Education in Science and Technology, 2011
Four different families of linear recurrences are derived for Catalan numbers. The derivations rest on John Riordan's 1973 generalization of Catalan numbers to a set of polynomials. Elementary differential and integral calculus techniques are used and the results should be of interest to teachers and students of introductory courses in calculus…
Descriptors: Introductory Courses, Numbers, Number Concepts, Calculus
