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Caspi, Shai; Sfard, Anna – International Journal of Educational Research, 2012
Taking as the point of departure the vision of school algebra as a formalized meta-discourse of arithmetic, we have been following five pairs of 7th grade students as they progress in algebraic discourse during 24 months, from their informal algebraic talk to the formal algebraic discourse, as taught in school. Our analysis follows changes that…
Descriptors: Grade 7, Grade 5, Arithmetic, Algebra
Heyd-Metzuyanim, Einat; Sfard, Anna – International Journal of Educational Research, 2012
The view of learning as a particular type of the activity of communicating with others and with oneself has already been shown to unify the once separate lines of study devoted to cognitive and to social aspects of learning. This approach is now extended so as to include the study of affect. In this article, emotional expressions are treated as an…
Descriptors: Discourse Analysis, Grade 7, Mathematics Instruction, Mathematics
Caspi, Shai; Sfard, Anna – PNA, 2012
Taking as a point of departure the vision of school algebra as a formalized meta-discourse of arithmetic, we have been following six pairs of 7th-grade students (12-13 years old) as they gradually modify their spontaneous meta-arithmetic toward the "official" algebraic form of talk. In this paper we take a look at the very beginning of…
Descriptors: Algebra, Arithmetic, Grade 7, Achievement Gains
Nachlieli, Talli; Sfard, Anna – International Group for the Psychology of Mathematics Education, 2003
This paper presents a rationale and a conceptual framework for a wider research project dealing with mathematical communication, and in particular with actions performed by interlocutors whenever they wish to clarify their use of a symbol, a word or an expression. The aim of such actions is often to repair a communicational breach resulting from…
Descriptors: Definitions, Research Projects, Mathematics, Interpersonal Communication