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ArticleThe gains and the pitfalls of reification — The case of algebra

Anna Sfard1994

Article1994

The gains and the pitfalls of reification — The case of algebra

Anna Sfard · Liora Linchevski

311 citations·0/0 files stored·Educational Studies in Mathematics

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Mathematics Education and Teaching Techniques Mathematics Education and Pedagogy History and Theory of Mathematics

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References

1992Handbook of research on mathematics teaching and learning 1981Concepts associated with the equality symbol 1992Development of the process conception of function 1994A cognitive gap between arithmetic and algebra 1990Research issues in the learning and teaching of algebra 1990Psychogenesis and the History of Science 1982Translations from the Philosophical Writings of Gottlob Frege

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2001Cognition as Communication: Rethinking Learning-by-Talking Through Multi-Faceted Analysis of Students' Mathematical Interactions 2010Students’ Reasoning With Reversible Multiplicative Relationships 2000On Reform Movement and the Limits of Mathematical Discourse 2002The balance model: Hindrance or support for the solving of linear equations with one unknown 1999Aspects of the Nature and State of Research in Mathematics Education 1996Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equations

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1994The Gains and the Pitfalls of Reification — The Case of Algebrachapter · 4 shared references 2013Prerequisite algebra skills and associated misconceptions of middle grade students: A reviewarticle · 4 shared references 2006Handbook of Research on the Psychology of Mathematics Educationbook · 3 shared references 2006Arithmetic and Algebra in Early Mathematics Educationother · 3 shared references 2007A Longitudinal Examination of Middle School Students' Understanding of the Equal Sign and Equivalent Equationsarticle · 3 shared references 1996Crossing the cognitive gap between arithmetic and algebra: Operating on the unknown in the context of equationsarticle · 3 shared references

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Year1994

Typearticle

Published1994-03-01

VenueEducational Studies in Mathematics

ISSN-L0013-1954

Languageen

Citations311

Files0 public / 0

ShelfMathematics Education and Teaching Techniques

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doi10.1007/bf01273663

openalex_workW4255465331

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2005

Convergence of Sequences and Series 2: Interactions Between Nonvisual Reasoning and the Learner’s Beliefs about their own Role

2004Convergence of sequences and series: Interactions between visual reasoning and the learner's beliefs about their own role