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Peer reviewed

Percival, Irene – For the Learning of Mathematics, 2001

Describes work with elementary school students which combines a documentary approach to humanizing mathematics education together with two other artifactual approaches: students' own construction of objects and documents imitating those studied and using ancient calculating devices in modern reconstruction. (MM)

Descriptors: Elementary Secondary Education, Humanism, Mathematics Education, Mathematics History

Peer reviewed

Landman, Greisy Winicki – For the Learning of Mathematics, 2001

Describes the process of the generation of an International Commission on Mathematics Instruction (ICMI) report. Analyzes a particular volume, 'History in Mathematics Education', in detail. (MM)

Descriptors: Educational History, Mathematics Education, Mathematics History, Secondary Education

Peer reviewed

Freudenthal, Hans – For the Learning of Mathematics, 1981

Reasons for one who teaches mathematics to know some mathematics history are investigated. Processes rather than products of mathematical creativity are the preferred subjects of study. (MP)

Descriptors: Elementary Secondary Education, Higher Education, History Instruction, Mathematical Enrichment

Peer reviewed

Gray, Jeremy – For the Learning of Mathematics, 1998

Discusses the connections and distinctions between mathematics, the philosophy of mathematics, and the history of mathematics. Presents Kant's views and proves that they were prevalent among mathematicians attracted to Kronecker's style of algebraic geometry. (Contains 15 references.) (ASK)

Descriptors: Elementary Secondary Education, Mathematicians, Mathematics History

Peer reviewed

Netz, Reviel – For the Learning of Mathematics, 1998

Introduces a project that explores the role of diagrams in mathematical signification. Discusses the central role of diagrams in deductive mathematics at its very inception in Greek mathematical writings. (ASK)

Descriptors: Diagrams, Elementary Secondary Education, Geometric Constructions, Greek Civilization

Peer reviewed

D'Ambrosio, Ubiratan – For the Learning of Mathematics, 1997

Shares perspectives on the history and current status of ethnomathematics. Speculates as to whether this field is revisionist and discusses the features of ethnomathematics that distinguish it from mathematics. (DDR)

Descriptors: Elementary Secondary Education, Epistemology, Ethnomathematics, Knowledge Representation

Peer reviewed

Van Maanen, Jan – For the Learning of Mathematics, 1997

Argues that traditional instructional methods can benefit teachers interested in reflecting on their teaching practices. Presents four stories by a mathematics teacher, three examples of the application of history to mathematics lessons at the secondary level, and one example from a history course for mathematics teachers. (DDR)

Descriptors: Active Learning, Educational Change, Educational Innovation, Educational Strategies

Peer reviewed

Gray, Jeremy – For the Learning of Mathematics, 1999

Provides examples of algebraic geometry mathematicians who operated as philosophers of mathematics. Argues that there is no good reason why philosophizing about mathematics should be part of any given mathematician's activities. (ASK)

Descriptors: Elementary Secondary Education, Mathematicians, Mathematics History, Philosophy

Peer reviewed

Bruckheimer, Maxim; And Others – For the Learning of Mathematics, 1995

Discusses some of the history of casting out nines and the controversy surrounding its use as a method of checking. (17 references) (MKR)

Descriptors: Elementary Secondary Education, Mathematical Concepts, Mathematics Education, Mathematics History

Peer reviewed

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

Peer reviewed

Ascher, Marcia; D'Ambrosio, Ubiratan – For the Learning of Mathematics, 1994

Presents a dialogue about ethnomathematics that includes discussions of: quipus (knotted cords) as a form of language, difficulty in defining mathematics, culturally embedded mathematical ideas, philosophy and mathematics, quantification without giving meaning to numbers, and evolution in mathematical thinking. (MKR)

Descriptors: Cultural Influences, Elementary Secondary Education, Ethnomathematics, Language Role

Peer reviewed

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

Peer reviewed

Fauvel, John – For the Learning of Mathematics, 1991

Presents reasons advanced for using history in mathematics education, ways of using history in the mathematics classroom and the use of history in teaching mathematics. Provides distinctions between the latter two points. (MDH)

Descriptors: Classroom Techniques, Elementary Secondary Education, Integrated Curriculum, Mathematical Enrichment

Peer reviewed

Van Maanen, Jan – For the Learning of Mathematics, 1991

Describes a classroom experience in which the teacher experiments with integrating mathematics history into a calculus class by presenting a historical problem taken from L'Hopital to be solved by the students. Extracts the role that history can play in teaching mathematics from the experience. (MDH)

Descriptors: Calculus, Elementary Secondary Education, Integrated Activities, Learning Activities

Peer reviewed

Rogers, Leo – For the Learning of Mathematics, 1991

Suggests resource materials useful to teachers that integrate mathematics history into the classroom. Presents helpful information for cataloguing information, sources for general overviews, detailed works, mathematics in its wider contexts, special and classroom topics, and the most economical materials. (MDH)

Descriptors: Educational Resources, Elementary Secondary Education, Instructional Materials, Integrated Activities