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Harper, Eon – International Journal of Mathematical Education in Science and Technology, 1980
There were 120 pupils in years 1 to 5 from two schools which were interviewed using specially prepared tasks to study the variety of interpretations given to letters by adolescents. Results indicate that two distinct conceptual understandings of the role played by a letter in relation to geometrical data exist in pupil's thinking. (Author/TG)
Descriptors: Algebra, Arithmetic, Concept Formation, Elementary Education
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Milson, James L. – School Science and Mathematics, 1979
A resource applications geometry module was developed and tested. Attitude data were collected. (MK)
Descriptors: Educational Research, Geometric Concepts, Geometry, Mathematical Applications
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Pedersen, Jean J. – Two-Year College Mathematics Journal, 1980
A short account is given of the Coxeter Symposium on geometry. Included are brief descriptions of selected sessions and a description of a touchable geometry display. (MK)
Descriptors: College Mathematics, Conferences, Geometric Concepts, Geometry
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Steen, Lynn Arthur – Mathematics Teacher, 1980
A group of unsolved geometry problems is presented. Several problems that were unsolved for a length of time and then solved are also discussed. (MK)
Descriptors: Geometric Concepts, Geometry, Mathematics Curriculum, Mathematics Instruction
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Shin, Joseph – Mathematics Teacher, 1980
The conditions necessary for a circumscribable quadrilateral also to be inscribable are discussed. Three propositions are presented and proved. (MK)
Descriptors: Geometric Concepts, Geometry, Mathematics Curriculum, Mathematics Instruction
Rankowski, Charles A.; Galey, Minaruth – Educational Communication and Technology: A Journal of Theory, Research, and Development, 1979
Demonstrates the instructional value of supplementary media presentations using first year engineering students randomly split into 11 descriptive geometry classes; five received multimedia instruction, and six did not. Data compared each study group in relation to competency in the subject, achievement, visualization of spatial relationships, and…
Descriptors: Academic Achievement, Audiovisual Aids, Geometry, Higher Education
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Fielker, David S. – Educational Studies in Mathematics, 1979
Topics discussed include: reasons for strategies; the use of a hierarchy of spaces from topological to Euclidean in teaching; structural strategies; pedagogical strategies; and mathematical strategies. (MP)
Descriptors: Educational Strategies, Elementary Education, Elementary School Mathematics, Geometric Concepts
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Mathematics Teacher, 1979
Topics discussed include: maximizing the volume of a box, finding different size squares on a geoboard, the angles formed by the hands of a clock, and questions related to three consecutive integers. (MP)
Descriptors: Geometry, Instruction, Integers, Learning Activities
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Butler, Ruth; Clark, Robert W. – Mathematics Teacher, 1979
Instructions are given for the use of worksheets whose objectives are to challenge and develop spatial visualization through the mental folding, rotating, and intersecting of cubes. (MP)
Descriptors: Geometry, Instruction, Learning Activities, Secondary Education
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
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Avital, Shmuel; Hansen, Rodney T. – Educational Studies in Mathematics, 1976
This paper discusses the process of investigating a mathematical situation, making conjectures, formulating an equation, then using mathematical induction to show the result is valid. Several examples appropriate for secondary school level are given. (DT)
Descriptors: Algebra, Deduction, Elementary Secondary Education, Geometry
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Oakley, Cletus O.; Baker, Justine C. – Mathematics Teacher, 1977
Annual records of the one-mile sun can be used to introduce a variety of statistical ideas including the scatter diagram, theoretical vs. observed values, and normal equations. (SD)
Descriptors: Algebra, Geometry, Instruction, Learning Activities
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Woolaver, John – Mathematics Teacher, 1977
Worksheets contain instructions and patterns for use in constructing models of the platonic solids from cardboard and rubber bands. (SD)
Descriptors: Geometry, Instruction, Learning Activities, Manipulative Materials
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Elk, Seymour B. – International Journal of Mathematical Education in Science and Technology, 1997
Suggests that the cross product of two vectors can be more easily and accurately explained by starting from the perspective of dyadics because then the concept of vector multiplication has a simple geometrical picture that encompasses both the dot and cross products in any number of dimensions in terms of orthogonal unit vector components. (AIM)
Descriptors: Analytic Geometry, Calculus, Higher Education, Mathematical Concepts
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Kalman, Richard – New York State Mathematics Teachers' Journal, 1996
This article presents problems to challenge students over and above the standard curriculum problems assigned at a Course I level. Every additional problem in the article can be solved using only the tools provided by Course I. (AIM)
Descriptors: Algebra, Geometry, Graphs, Mathematics Curriculum
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