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Radford, Luis – For the Learning of Mathematics, 1995
Discusses social and intellectual factors in medieval Italian algebra; problems and methods, including operating on the unknown, quasi-equation problems, and giving-and-receiving problems; and the scope of algebraic methods. Considers implications for teaching. (43 references) (MKR)
Descriptors: Algebra, Elementary Secondary Education, Epistemology, Mathematics History
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Menghini, Marta – For the Learning of Mathematics, 1994
Discusses algebra teaching by looking back into the history of algebra and the work of George Peacock, who considered algebra from two points of view: symbolic and instrumental. Claims that, to be meaningful, algebra must be linked to real-world problems. (18 references) (MKR)
Descriptors: Algebra, Mathematics Education, Mathematics History, Mathematics Instruction
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Sfard, Anna – Journal of Mathematical Behavior, 1995
Presents a look at the history of algebra with a historical-psychological framework. This article is one of the keynote addresses of the Algebra Working Group of the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (33 references) (MKR)
Descriptors: Algebra, Elementary Secondary Education, Mathematics Education, Mathematics History
Calinger, Ronald, Ed. – 1996
This book brings together papers by scholars from around the globe on the historiography and history of mathematics and their integration with mathematical pedagogy. Of the three articles in Part 1, "Historiography and Sources", one identifies research trends in the history of mathematics, the second discusses the centrality of problems, and the…
Descriptors: Algebra, Calculus, Elementary Secondary Education, Ethnomathematics
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Dorier, Jean-Luc; Robert, Aline; Rogalski, Marc – Educational Studies in Mathematics, 2002
Underlines the common points in F. Uhlig's approach published in an earlier issue of this journal about the question of proof in linear algebra. Describes some of his ideas in a new light and gives perspective for a further didactical development of Uhlig's first experiments. (Author/KHR)
Descriptors: Algebra, Higher Education, Mathematical Concepts, Mathematics History
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Gray, Shirley B.; Sandifer, C. Edward – Mathematics Teacher, 2001
Describes some interesting features of the book "Sumario Compendioso," first written in North America so that others can use it to enrich their classes and forge links between mathematics and other subjects. (KHR)
Descriptors: Algebra, Arithmetic, Instructional Materials, Interdisciplinary Approach
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Lesser, Lawrence M. – Mathematics Teacher, 2000
Diversity can be introduced in algebra without needing extra time. Explores three opportunities to encounter and engage diversity: (1) history; (2) multiple representations; and (3) object concept of function. (ASK)
Descriptors: Algebra, Cultural Differences, Functions (Mathematics), History
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Duham, William – College Mathematics Journal, 1991
The complexity of the proof of the Fundamental Theorem of Algebra makes it inaccessible to lower level students. Described are more understandable attempts of proving the theorem and a historical account of Euler's efforts that relates the progression of the mathematical process used and indicates some of the pitfalls encountered. (MDH)
Descriptors: Algebra, College Mathematics, Higher Education, Mathematical Enrichment
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McGarvey, Craig – Mathematics Teacher, 1981
The development of the new mathematics curriculum of the late 1950s is examined in light of current calls for changes in the instructional program. Thoughtful, imaginative reform that offers radically new models of approach to teaching mathematics is called for. (MP)
Descriptors: Algebra, Curriculum Development, Geometry, Mathematics Curriculum
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Arcavi, Abraham; Bruckheimer, Maxim – For the Learning of Mathematics, 1989
A description of De Morgan's life and work is followed with quotations of his thoughts and insights on the teaching and learning of mathematics. The purpose is to illustrate the sharpness of his ideas, his creative insights, and his wit for the enjoyment of the reader. (DC)
Descriptors: Algebra, Arithmetic, Concept Formation, Geometric Concepts
Fleming, Vicki – 1988
Tracing the history of algebra within the U.S. secondary curriculum requires at the same time a review of the various reform movements relevant to secondary education, an acknowledgement of the sociological, political, and psychological perspectives driving these reforms, and most importantly, the perceived role of mathematics in the education of…
Descriptors: Algebra, Curriculum Development, Educational Research, Educational Theories