Mathematical representations

GA Goldin - Encyclopedia of mathematics education, 2020 - Springer
Research in mathematics education is interdisciplinary. According to Higginson (1980),
mathematics, philosophy, psychology, and sociology are contributing disciplines to …

Mathematical modelling and applications in education

G Kaiser - Encyclopedia of mathematics education, 2020 - Springer
Research in mathematics education is interdisciplinary. According to Higginson (1980),
mathematics, philosophy, psychology, and sociology are contributing disciplines to …

Perspective on representation in mathematical learning and problem solving

GA Goldin - Handbook of international research in mathematics …, 2008 - books.google.com
Representation is a crucial element for a theory of mathematics teaching and learning, not
only because the use of symbolic systems is so important in mathematics, the syntax and …

A comprehensive theory of representation for mathematics education

V Gérard - The Journal of Mathematical Behavior, 1998 - Elsevier
Representation is a difficult concept. Behaviorists wanted to get rid of it; many researchers
prefer other terms like “conception” or “reasoning” or even “encoding;” and many cognitive …

Metaphors in mathematics education

J Soto-Andrade - Encyclopedia of mathematics education, 2020 - Springer
Research in mathematics education is interdisciplinary. According to Higginson (1980),
mathematics, philosophy, psychology, and sociology are contributing disciplines to …

Manipulatives in mathematics education

MG Bartolini, F Martignone - Encyclopedia of mathematics education, 2020 - Springer
Research in mathematics education is interdisciplinary. According to Higginson (1980),
mathematics, philosophy, psychology, and sociology are contributing disciplines to …

Realistic mathematics education

M Van den Heuvel-Panhuizen, P Drijvers - Encyclopedia of mathematics …, 2020 - Springer
Registers are defined as semiotic systems which fulfill a specific cognitive function:
transforming any semiotic representations they give the means of producing into other ones …

Reconstruction of meaning as a didactical task: The concept of function as an example

R Biehler - Meaning in mathematics education, 2005 - Springer
The meaning of a mathematical concept differs in different contexts. We can find different
practices related to the same mathematical concept, such as the concept of function …

Mathematics education as a 'design science'

EC Wittmann - Educational studies in Mathematics, 1995 - Springer
Abstract Mathematics education (didactics of mathematics) cannot grow without close
relationships to mathematics, psychology, pedagogy and other areas. However, there is the …

Representation: An important process for teaching and learning mathematics

F Fennell, T Rowan - Teaching children mathematics, 2001 - pubs.nctm.org
Principles and Standards Page 1 Representation is more than a process; it is a way of teaching
and learning math- ematics. Vignette: Four beginning third graders were working to solve a …