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Direct linkWhite, Jonathan J. – PRIMUS, 2017
A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…
Descriptors: Numbers, Sequential Learning, Active Learning, Inquiry
Chan, Winnie Wai Lan; Au, Terry K.; Tang, Joey – Journal of Experimental Child Psychology, 2011
Even when two-digit numbers are irrelevant to the task at hand, adults process them. Do children process numbers automatically, and if so, what kind of information is activated? In a novel dot-number Stroop task, children (Grades 1-5) and adults were shown two different two-digit numbers made up of dots. Participants were asked to select the…
Descriptors: Reaction Time, Numbers, Grade 1, Cognitive Processes
Ye, N.; Ding, Jiu – International Journal of Mathematical Education in Science & Technology, 2006
A simple proof to some known results on the convergence of linear recursive sequences with nonnegative coefficients is given, using the technique of monotone convergence.
Descriptors: Correlation, Numbers, Causal Models, Mathematical Formulas
Burn, Bob – Educational Studies in Mathematics, 2005
This paper proposes a genetic development of the concept of limit of a sequence leading to a definition, through a succession of proofs rather than through a succession of sequences or a succession of epsilons. The major ideas on which it is based are historical and depend on Euclid, Archimedes, Fermat, Wallis and Newton. Proofs of equality by…
Descriptors: Genetics, Mathematical Concepts, Mathematics, History
