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 …
mathematics, philosophy, psychology, and sociology are contributing disciplines to …
Problem‐solving or knowledge‐centred: the influence of philosophy on mathematics teaching
S Lerman - International journal of mathematical education in …, 1983 - Taylor & Francis
In this article, which is in criticism of a previous paper by Eric Blaire in this journal, I suggest
that one's perspective of mathematics teaching is a logical consequence of one's …
that one's perspective of mathematics teaching is a logical consequence of one's …
Values, gender and images of mathematics: A philosophical perspective
P Ernest - International Journal of Mathematical Education in …, 1995 - Taylor & Francis
This paper describes the widespread public image of mathematics as cold, abstract, and
inhuman, and relates it to absolutist philosophies of mathematics. It is argued that this image …
inhuman, and relates it to absolutist philosophies of mathematics. It is argued that this image …
The dialogical nature of mathematics
P Ernest - Mathematics Education and Philosophy, 2003 - taylorfrancis.com
This chapter sketches an account of mathematics based on the underlying explanatory
metaphor of conversation and dialogue. 1 It suggests that mathematics is dialogical in a …
metaphor of conversation and dialogue. 1 It suggests that mathematics is dialogical in a …
The practices of mathematicians: What do they tell us about coming to know mathematics?
L Burton - Educational studies in mathematics, 1998 - Springer
In 1997, an interview-based study of 70 research mathematicians was undertaken with a
focus on how they 'come to know'mathematics, ie their epistemologies. In this paper, I …
focus on how they 'come to know'mathematics, ie their epistemologies. In this paper, I …
Visualising and mathematics in a pre-technological culture
AJ Bishop - Educational Studies in Mathematics, 1979 - Springer
Conclusion Earlier in this article I said that I was not going to discuss trategies for
educational development in Papua New Guinea, although as you can probably infer, I find …
educational development in Papua New Guinea, although as you can probably infer, I find …
Some proposals for reviving the philosophy of mathematics
R Hersh - Advances in mathematics, 1979 - Elsevier
By “philosophy of mathematics” I mean the working philosophy of the professional
mathematician, the philosophical attitude toward his work that is assumed by the researcher …
mathematician, the philosophical attitude toward his work that is assumed by the researcher …
The transition to formal thinking in mathematics
D Tall - Mathematics Education Research Journal, 2008 - Springer
This paper focuses on the changes in thinking involved in the transition from school
mathematics to formal proof in pure mathematics at university. School mathematics is seen …
mathematics to formal proof in pure mathematics at university. School mathematics is seen …
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 …
practices related to the same mathematical concept, such as the concept of function …
[图书][B] Mathematics education and philosophy: An international perspective
P Ernest - 2003 - api.taylorfrancis.com
Currently there is a great deal of interest in philosophical issues in the teaching and learning
of both mathematics and science education. In this book Ernest has collected together …
of both mathematics and science education. In this book Ernest has collected together …