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On culture, geometrical thinking and mathematics education
Educational Studies in Mathematics, 1988This article confronts a widespread prejudice about mathematical knowledge, that mathematics is ‘culture-free’, by demonstrating alternative constructions of euclidean geometrical ideas developed from the traditional culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of ...
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The Geometric Supposer: Promoting Thinking and Learning
The Mathematics Teacher, 1986Traditionally, the teaching of high school geometry has emphasized the principles of deductive systems. This approach often forces students to learn how to manipulate mathematical systems while it denies them an equal opportunity to create geometry. Geometry teachers have always faced the dilemma of having to instil in their students an appreciation of
Michal Yerushalmy, Richard A. Houde
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And Then There Was Luke: The Geometric Thinking of a Young Mathematician
Teaching Children Mathematics, 2001What might students say about the angles of the pentagonal block shown in figure 1? Children might respond in different ways, depending on their abilities and experiences with angles. Some might say that the block “has five angles” after touching each of the corners.
Janet Sharp, Karen Hoiberg
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Introduction geometrical thinking
2010Demand of achievement of functional mathematical literacy lays stress on professional competence of teachers. To it belongs also ability to create condition for development of educational habits of all students. The contribution acquaints with ongoing research in this area.
Kuzniak, A. +3 more
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Shaping the Standards: Geometry and Geometric Thinking
Mathematics Teaching in the Middle School, 1999This article is the third in a series inviting discussion of, and reaction to, the draft of Principles and Standards for School Mathematics. This month's article focuses on geometry and geometric thinking. Your feedback will help the writers prepare the final version of the document next summer; the final version will be released in April 2000.
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Geometric Thinking and the Geometry of Conics and Quadrics
2018This is a show-and-tell of what is essential exposure to geometry embedded in three examples, the quadric on three skew lines and stationary distances between conics and quadrics. With geometry one generalizes the specific. In other math for engineers general principles are introduced, i.e., theorems, etc., in the hope that given such rigorous ...
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Let's Do It: Cut and Paste for Geometric Thinking
The Arithmetic Teacher, 1984Some of the very best geometric activities can be accomplished with very simple materials and minimal preparation. Each of the activities suggested in this article requires nothing more than some colored construction paper cut into simple shapes, some paste or glue, and large sheets of newsprint or art paper on which to paste designs.
John Van de Walle, Charles S. Thompson
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Mathematical Thinking and Geometric Exploration in Africa and Elsewhere
Diogenes, 2004The editors asked me to contribute to the Benin symposium on the ‘Encounter Between Rationalities’ from the particular perspective of my research experience in ethnomathematics - the study of mathematical ideas and practices as embedded in their cultural contexts.
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