Trends in International Mathematics and Science Study raised the concern that the United States (US) mathematics teachers place less emphasis on topics and teach a variety of content strands (Goldsmith, Mark & Kantrov, 2000; Kerachsky, 2008). The overall pattern in the US mathematics classrooms today is that primary and upper elementary…

This article presents a Vygotsky-inspired analysis of how a teacher mediated a "thinking aloud" whole-group discussion in a 6th grade mathematics classroom. This discussion centered on finding patterns in a triangular array of consecutive numbers as a phase towards building recursive and direct algebraic formulas. By a "thinking aloud" discussion…

THE EXPERIMENT PROPOSED IN THIS STUDY WAS TO SUPPLY EVIDENCE RELEVANT TO THE QUESTION OF HOW MUCH INFLUENCE, IF ANY, A POSTULATED NOVELTY EFFECT WOULD HAVE UPON THE EFFECTIVENESS OF LEARNING IN A SELF-INSTRUCTIONAL SITUATION. THE HYPOTHESIS WAS--THERE WILL BE NO SIGNIFICANT DIFFERENCES IN ACHIEVEMENT OF TWO COMPARABLE GROUPS OF ELEMENTARY PUPILS…

Knowledge about the structure of arithmetic expressions enables people to reason effectively about such expressions, including an ability to judge equivalence under transformations. This paper reports an empirical study of six middle-school children who judged the equivalence of three sets of three-term arithmetic expressions with an addition and…

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…