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Elementary Secondary Education	2
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Mathematics Education	2
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Educational Studies in…

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Kieren, Thomas	1
Pirie, Susan	1
Streefland, L.	1

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Growth in Mathematical Understanding: How Can We Characterise It and How Can We Represent It?

Peer reviewed

Pirie, Susan; Kieren, Thomas – Educational Studies in Mathematics, 1994

Proposes a model for the growth of mathematical understanding based on the consideration of understanding as a whole, dynamic, leveled but nonlinear process. Illustrates the model using the concept of fractions. How to map the growth of understanding is explained in detail. (Contains 26 references.) (MKR)

Descriptors: Cognitive Processes, Cognitive Structures, Elementary Secondary Education, Fractions

The Design of a Mathematics Course. A Theoretical Reflection.

Peer reviewed

Streefland, L. – Educational Studies in Mathematics, 1993

Discusses the theoretical framework of realistic mathematics education. A course on fractions is analyzed in depth with the realistic theory in the background. Examines the strategies that designers of exemplary educational material use. (MDH)

Descriptors: Curriculum Design, Educational Theories, Elementary Secondary Education, Fractions