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Peer reviewedSpinillo, Alina G.; Bryant, Peter E. – Mathematical Cognition, 1999
Studies 6- to 8-year olds' responses to sliced task, standard and choices were discontinuous quantities, and non-sliced task, standard was continuous and choices were discontinuous quantities in order to discover whether children use half boundary in ratio comparisons between continuous and discontinuous quantities. Reveals that "dhalf" plays a…
Descriptors: Abstract Reasoning, Computation, Elementary Education, Mathematics Education
Peer reviewedLewis, Karen Elaine – Childhood Education, 1985
Discusses students' inability to make the connection between manipulative materials and pencil-and-paper calculations in mathematics instruction. Outlines the development of mathematical ideas through the concrete, representational, and abstract phases of instruction. An annotated bibliography listing teacher resources for representational-level…
Descriptors: Abstract Reasoning, Children, Computation, Elementary Education
Download full textChick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…
Descriptors: Foreign Countries, Multilingualism, Research Reports, Symbols (Mathematics)
