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Faux, Geoff – Mathematics Teaching Incorporating Micromath, 2007
In this article, the author argues that coordinate geometry and all its trappings should be banned from key stage 2 in English schools. To explain why he makes such a strong statement, he discusses geometry problems tackled by the Ancient Greeks, showing how meaningful problem solving can occur without the use of coordinates and the corresponding…
Descriptors: Geometric Concepts, Number Concepts, Geometry, History
Brizuela, Barbara M. – Educational Studies in Mathematics, 2006
This paper focuses on the kinds of notations young children make for fractional numbers. The extant literature in the area of fractional numbers acknowledges children's difficulties in conceptualizing fractional numbers. Some of the research suggests possibly delaying an introduction to conventional notations for algorithms and fractions until…
Descriptors: Mathematics, Coding, Young Children, Number Concepts

Carmesin, Hans-Otto – Science and Education, 1992
Investigates the question of how a set of examples for adding natural numbers can be extended in a unique manner ad infinitum using the framework of a neural network model. Discusses Wittgenstein's remarks on the foundations of mathematics. (Contains 11 references.) (MDH)
Descriptors: Addition, Educational Theories, Elementary Secondary Education, Epistemology

Garnett, Katherine – Journal of Reading, Writing, and Learning Disabilities International, 1987
The article considers various learning disabilities in mathematics and suggests teaching approaches such as ways to increase instructional time and the importance of building both computation skills and concepts. (DB)
Descriptors: Classroom Techniques, Concept Formation, Elementary Secondary Education, Learning Disabilities