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Borba, Marcelo C. – For the Learning of Mathematics, 1990
Discussed is the notion of ethnomathematics as an epistemological approach to mathematics. The relationship between ethnomathematics and mathematics education is described. Suggestions regarding mathematical pedagogy are provided. (CW)
Descriptors: Cultural Differences, Cultural Influences, Educational Improvement, Educational Philosophy
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Ball, Deborah Loewenberg – For the Learning of Mathematics, 1990
The role of methods courses to help prospective elementary teachers learn to teach mathematics was investigated. The influence of past experience on preservice teachers, their lack of subject knowledge, and the lack of time set aside for a methods course are discussed. (KR)
Descriptors: College Mathematics, Higher Education, Mathematical Concepts, Mathematical Logic
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Zeitler, Herbert – For the Learning of Mathematics, 1990
Geometric axioms are discussed in terms of philosophy, history, refinements, and basic concepts. The triumphs and limitations of the formalism theory are included. Described is the status of high school geometry internationally. (KR)
Descriptors: Comparative Education, Foreign Countries, Geometric Concepts, Geometry
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Lerman, Stephen – For the Learning of Mathematics, 1990
Discusses student-teachers' awareness of research and its potential role in their work as teachers, both as methodology for themselves as practicing researchers-in-action and as material developed by others. Some of the influences that led to the rise of the "teachers as researchers" program are included. (KR)
Descriptors: Action Research, Attitudes, College Mathematics, Higher Education
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Toumasis, Charalampos – For the Learning of Mathematics, 1990
Described is the use of peer teaching, to help students to learn the difference between surface and meaningful learning and to provide feedback to the teacher. The advantages of peer teaching to teachers and students are listed. (KR)
Descriptors: Classroom Techniques, Cognitive Processes, Learning Experience, Learning Strategies
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Otte, Michael – For the Learning of Mathematics, 1990
Compared and contrasted are the concepts intuition and logic. The ideas of conceptual thought and algorithmic thought are discussed in terms of the world as a labyrinth, intuition and time, and the structure of knowledge. (KR)
Descriptors: Abstract Reasoning, Algorithms, Cognitive Ability, Cognitive Processes
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Bouvier, Alain – For the Learning of Mathematics, 1987
Begins with the assumption that by practicing something one often learns something else. A discussion is presented on the historical and social development of knowledge, the cognitive development of students, the role of teachers, and the meaning of learning situations. (PK)
Descriptors: Cognitive Development, Cognitive Structures, Concept Formation, Elementary School Mathematics
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Schubring, Gert – For the Learning of Mathematics, 1987
Argues that the investigation of the life and personality of textbook authors is one approach by which it is possible to analyze school life in the past. The French text author Lacroix is considered. (PK)
Descriptors: Authors, Foreign Countries, History, Mathematics Curriculum
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Steiner, Hans-Georg – For the Learning of Mathematics, 1987
Comments on six theses about mathematics education are presented. How theories on teaching and learning mathematics are derived or developed, how philosophies are related, and their role in mathematics education are among the points discussed. (MNS)
Descriptors: Conference Papers, Educational Philosophy, Educational Theories, Learning
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Thomas, R. S. D. – For the Learning of Mathematics, 1987
Differences in cognitive structure are approached through consideration of cartesian and non-cartesian knowing. Figuration and configuration are described as two layers of cartesian knowing leading to the third layer, the cognitive structure. Knowing in general is then discussed, with comments on learning in another culture, Botswana. (MNS)
Descriptors: Cognitive Processes, Cross Cultural Studies, Educational Philosophy, Learning
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Schoenfeld, Alan H. – For the Learning of Mathematics, 1987
How the author moved from concern about research to development of prescriptive models of heuristic problem solving and the exploration of metacognition and belief systems is discussed. Student beliefs about problem solving, and their corollaries, are included. (MNS)
Descriptors: Cognitive Processes, Educational Philosophy, Mathematics Education, Mathematics Instruction
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Potari, Despina; Spiliotopoulou, Vasiliki – For the Learning of Mathematics, 1992
Reports a study designed to identify 9 and 11 year olds' ways of drawing nets of solids and to provide opportunities for them to reflect on their models in whole class discussions. Results indicated that children's views of solids' nets progressed from more global and holistic to more quantitative and analytic. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Concept Formation
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Artigue, Michele; Perrin-Glorian, Marie-Jeanne – For the Learning of Mathematics, 1991
Discussed is the research method of "didactic engineering" and the potential theoretical problems of putting research findings into practical use as teaching methods in mathematics classrooms. Cited is the possible incompatibility between the theoretical principles of experimental methods and teachers' conceptions. (MDH)
Descriptors: Cognitive Development, Elementary Secondary Education, Instructional Development, Mathematics Education
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Fischbein, Efraim; And Others – For the Learning of Mathematics, 1990
Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)
Descriptors: Cognitive Structures, Foreign Countries, Geometry, Learning Processes
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Van Den Brink, Jan – For the Learning of Mathematics, 1990
Discussed are research methods as applied to research in the mathematics classroom. Included in the discussion are objectivity, development, evaluation, observation, reflection, research design and methods, and data reduction. (CW)
Descriptors: College Mathematics, Educational Assessment, Elementary School Mathematics, Elementary Secondary Education
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