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Woodrow, Derek – For the Learning of Mathematics, 1997
Explores the concept of democratic education in the context of mathematics teaching relating to issues concerning democratic citizenship in modern democratic societies and ways of teaching which reflect democratic values. Claims that most mathematics is done in isolation with little social support for its learning. Contains 30 references. (ASK)
Descriptors: Democracy, Democratic Values, Elementary Secondary Education, Mathematics Education
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Borba, Marcelo C.; Skovsmose, Ole – For the Learning of Mathematics, 1997
Presents one aspect that makes mathematics the final word in many discussions, the ideology of certainty. Argues that one way of challenging the ideology of certainty is to change classroom practice by introducing a landscape of discussion on chaotic nature where relativity, provisional starting points, different points of view, and uncertainty…
Descriptors: Discussion, Educational Philosophy, Educational Technology, Elementary Secondary Education
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Higginson, William C. – For the Learning of Mathematics, 1997
Discusses educational philosopher Paulo Freire's ideas on the "problem-posing" approach in education in contrast with the banking approach. (ASK)
Descriptors: Educational Theories, Elementary Secondary Education, Mathematics Education, Socioeconomic Influences
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Freire, Paulo; D'Ambrosio, Ubiratan; Mendonca, Maria do Carmo – For the Learning of Mathematics, 1997
Presents a conversation between philosopher and educator Paulo Freire and two mathematics educators from the University Sao Paulo, Ubiratan D'Ambrosio and Maria do Carmo Mendonca. (ASK)
Descriptors: Educational Environment, Educational Philosophy, Educational Theories, Mathematics Education
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Chassapis, Dimitris – For the Learning of Mathematics, 1997
Argues that any mathematical construct can acquire multiple referential meanings beyond its specific mathematical meaning as it is assigned several different mappings when applied to different real-world situations. Claims that the teaching of mathematics in schools is a vehicle for an ideology concerning mathematical activity and its outcomes.…
Descriptors: Elementary Education, Elementary School Mathematics, Foreign Countries, Ideology
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Mura, Roberta; Maurice, Louise – For the Learning of Mathematics, 1997
This study investigates the use of infinities and limits during the first 12 years of schooling while a secondary study presents ideas and comments on the observations that were made during the primary study. (MVL)
Descriptors: Elementary Secondary Education, Limits (Mathematics), Mathematical Concepts, Mathematics Instruction
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Herbst, Patricio – For the Learning of Mathematics, 1997
Reviews and analyzes the number-line metaphor in textbooks. Presents examples to show a way to produce an internal critique of mathematical textbooks, a critique that targets the practices in which the notions are involved within the text. Presents the number-line metaphor as the horizon and the tiller of all the enlargements of the notion of…
Descriptors: Elementary Secondary Education, Mathematical Concepts, Mathematics Education, Metaphors
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McIntosh, Alistair; And Others – For the Learning of Mathematics, 1992
Proposes a framework that identifies the components of number sense and the attributes of students who possess it. Discusses various aspects of three areas where number sense plays a key role: number concepts, operations with numbers, and applications of number and operation. (MDH)
Descriptors: Cognitive Structures, Computation, Elementary Education, Elementary School Mathematics
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Fidelman, Uri – For the Learning of Mathematics, 1987
The ontological problem is "what exists?" The answer regarding the part of consciousness which is related to left hemisphere is that only individual discrete objects exist; objects are regarded one at a time. The answer regarding the part of consciousness which is related to right hemisphere is only comprehensive entities exist; each…
Descriptors: Brain Hemisphere Functions, Cognitive Development, Concept Formation, Logic