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Direct linkBenacka, Jan – International Journal of Mathematical Education in Science and Technology, 2012
In some secondary mathematics curricula, there is a topic called Stereometry that deals with investigating the position and finding the intersection, angle, and distance of lines and planes defined within a prism or pyramid. Coordinate system is not used. The metric tasks are solved using Pythagoras' theorem, trigonometric functions, and sine and…
Descriptors: Trigonometry, Mathematics Activities, Mathematics, Mathematics Education
Schneiter, Kady; Kohler, Brynja R.; Watts, Brandon J. – Mathematics Teacher, 2011
The Department of Mathematics and Statistics at Utah State University offers two courses for preservice secondary school mathematics teachers that complement each other in working toward a vision for school mathematics in which "all students have access to high-quality, engaging mathematics instruction." Through these courses, students…
Descriptors: Secondary School Mathematics, Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge
Peer reviewedCallagy, J. J. – International Journal of Mathematical Education in Science and Technology, 1971
This article shows how simple instruments may be used to construct angles of certain measures and applies this procedure to more detailed problems. A proof of the Pythagorean Theorem is given using these procedures. (CT)
Descriptors: Geometric Concepts, Geometry, Manipulative Materials, Mathematical Concepts
Peer reviewedSiegel, Steven L. – Mathematics Teacher, 1982
A problem involving the search for an equivalence class of triangles is viewed to provide several exciting and satisfying moments of insight. After solving the original problem, there is a brief discussion of a slight variation and several notes regarding related theorems and ideas. References for additional exploration are provided. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Mathematical Enrichment, Mathematics Instruction
Download full textVaughan, Herbert E.; Szabo, Steven – 1971
This is the teacher's edition of a text for the first year of a two-year high school geometry course. The course bases plane and solid geometry and trigonometry on the fact that the translations of a Euclidean space constitute a vector space which has an inner product. Volume 1 deals largely with affine geometry, and the notion of dimension is…
Descriptors: Geometric Concepts, Geometry, Instructional Materials, Mathematics Curriculum
Vaughan, Herbert E.; Szabo, Steven – 1973
This is the teacher's edition of a text for the second year of a two-year high school geometry course. The course bases plane and solid geometry and trigonometry on the fact that the translations of a Euclidean space constitute a vector space which has an inner product. Congruence is a geometric topic reserved for Volume 2. Volume 2 opens with an…
Descriptors: Congruence (Mathematics), Geometric Concepts, Geometry, Instructional Materials
