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Pinel, Adrian – Mathematics Teaching, 2002
This article was written as a result of the author reading "MT177," a special issue dedicated to the teaching of "proof" in mathematics. He used the ideas in this special issue for planning his session "mathematical reasoning and proof," which was part of a weekend course for primary trainees. It consisted of three activities: (1) How many…
Descriptors: Logical Thinking, Classification, Mathematical Logic, Validity
Banks, Bertram – Mathematics Teaching, 1976
Activities growing out of a study of Euler's formula are described. (SD)
Descriptors: Geometric Concepts, Geometry, Induction, Instruction
Mathematics Teaching, 1978
Topics discussed are: triangular numbers; three proofs of the surface area of a sphere; reverse notation; highest common factors; square roots from a graph; and clock geometry. (MP)
Descriptors: Elementary Secondary Education, Geometry, Graphs, Instruction
Trivett, John V. – Mathematics Teaching, 1975
Activities involving the drawing of kites and figures related to kites are described. (SD)
Descriptors: Experiential Learning, Geometric Concepts, Geometry, Instruction
Kuper, Marie; Walter, Marion – Mathematics Teaching, 1976
Relationships between the linear dimensions, surface area, and volume of parallelepipeds are examined. (SD)
Descriptors: Elementary Secondary Education, Generalization, Geometry, Instruction
Robin, Anthony C. – Mathematics Teaching, 1976
Finding the shortest route between two points can be approached by vector methods. Several types of matrices modelling a map of 6 cities are described. (SD)
Descriptors: Algebra, Curriculum, Geometry, Instruction
Hale, David – Mathematics Teaching, 1975
The number of triangles having a fixed length of longest side is investigated. (SD)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Induction
Clark, Jean – Mathematics Teaching, 1975
A learning activity relating modular arithmetic to patterns of figures determined by points equally spaced around a circle is described. (SD)
Descriptors: Curriculum, Elementary Education, Elementary School Mathematics, Geometry
Meyer, Fritz; And Others – Mathematics Teaching, 1975
Two students (aged 10) and a teacher described their exploratory approach to problems involved in sliding blocks games. (SD)
Descriptors: Discovery Learning, Educational Games, Elementary Education, Elementary School Mathematics
Orton, A. – Mathematics Teaching, 1975
Descriptors: Elementary School Mathematics, Elementary Secondary Education, Games, Geometry
Bates, Tom – Mathematics Teaching, 1979
The author describes the teaching of geometric topics, using a geoboard with different age groups. (MK)
Descriptors: Elementary Secondary Education, Geometric Concepts, Higher Education, Learning Activities
Lappan, Glenda; Winter, Mary Jean – Mathematics Teaching, 1979
Details are given about some activities designed to help students convey three-dimensional objects into two-dimensional representations by constructing and drawing buildings of blocks. (MP)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Geometry
Hartz, Viggo – Mathematics Teaching, 1981
Allowing students to use a polystyrene cutter to fashion their own three-dimensional models is suggested as a means of allowing individuals to experience problems and develop ideas related to solid geometry. A list of ideas that can lead to mathematical discovery is provided. (MP)
Descriptors: Discovery Learning, Elementary Secondary Education, Experiential Learning, Geometric Concepts

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