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Direct linkKatz, Karin Usadi; Katz, Mikhail G. – Educational Studies in Mathematics, 2010
The view of infinity as a metaphor, a basic premise of modern cognitive theory of embodied knowledge, suggests in particular that there may be alternative ways in which one could formalize mathematical ideas about infinity. We discuss the key ideas about infinitesimals via a proceptual analysis of the meaning of the ellipsis "..." in the real…
Descriptors: Number Systems, Epistemology, Mathematics Education, Evaluation
Krasa, Nancy; Shunkwiler, Sara – Brookes Publishing Company, 2009
How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…
Descriptors: Mathematics Instruction, Learning Problems, Numbers, Arithmetic
