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Benacka, 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

Pinker, Aron – Mathematics Teacher, 1980
Archimedes viewed the method of centroids as a valuable tool for intuitive discoveries. This article presents several uses of this technique and discusses how the method of centroids could be used in secondary schools. (Author/MK)
Descriptors: Geometric Concepts, Geometry, Mathematics Curriculum, Mathematics Instruction
KLIER, KATHERINE M. – 1963
PRESENTED IS A FUSED COURSE IN PLANE, SOLID, AND COORDINATE GEOMETRY. ELEMENTARY SET THEORY, LOGIC, AND THE PRINCIPLE OF SEPARATION PROVIDE UNIFYING THREADS THROUGHOUT THE TEXT. THE TWO CURRICULUM GUIDES HAVE BEEN PREPARED FOR USE WITH TWO DIFFERENT TEXTS. EITHER CURRICULUM GUIDE MAY BE USED DEPENDING UPON THE CHOICE OF THE TEACHER AND THE NEEDS…
Descriptors: Analytic Geometry, Curriculum Guides, Fused Curriculum, Geometry
Brotherton, Sheila; And Others – 1974
This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The authors of this sequence of modules have chosen not to cover the initial basic postulates and theorems since they can be found in nearly every geometry text. Instead, a list of necessary postulates and their consequences is included. It…
Descriptors: Course Content, Deduction, Geometric Concepts, Geometry

Brotherton, Sheila; And Others – 1974
This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module, intended to present a treatment of congruent triangles which is not totally axiomatic, contains six sections: (1) Draw vs. Construct; (2) Triangle Construction; (3) Arguing for Congruence; (4) Parallel Line Construction; (5)…
Descriptors: Activity Units, Geometric Concepts, Geometry, Laboratories
Vaughan, 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
Brotherton, Sheila; And Others – 1974
This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module was conceived as an alternative approach to the usual practice of giving Euclid's parallel postulate and then mentioning that alternate postulates would lead to an alternate geometry or geometries. Instead, the student is led…
Descriptors: Activity Units, Deduction, Educational Objectives, Geometric Concepts
Brotherton, Sheila; And Others – 1975
This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The thrust of this module is to introduce the student to transformations by having the student physically transform sets of points. Heavy use of manipulatives is made to aid the student in the transforming activity. Individual sections…
Descriptors: Activity Units, Geometric Concepts, Geometry, Laboratories
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

Jenson, Robert J. – Arithmetic Teacher, 1988
Suggests one possible way to combine the technological facility of the computer with students' natural abilities for concept formation. Describes the software the "Geometric preSupposer." (PK)
Descriptors: Computer Assisted Instruction, Computer Uses in Education, Concept Formation, Elementary Education
Brotherton, Sheila; And Others – 1975
This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module includes: (1) Pythagorean Theorem (with review of radicals); (2) Basic Coordinate Geometry (distance and midpoint, slope, slope of parallels and perpendiculars, and equation of a line); (3) Selecting Coordinates; (4) Coordinate…
Descriptors: Activity Units, Analytic Geometry, Educational Objectives, Geometric Concepts
Brotherton, Sheila; And Others – 1974
This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The purpose of this module is to teach solution of proportions, concepts and theorems of triangle similarity, solution of the Pythagorean Theorem, solution of the isosceles right triangle, and concepts involving "rep-tile" figures…
Descriptors: Activity Units, Geometric Concepts, Geometry, Laboratories
Dissemination and Assessment Center for Bilingual Education, Austin, TX. – 1979
This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in the booklet include points, lines, planes, space, angles, and intersection and union of sets. (MK)
Descriptors: Bilingual Education, Elementary School Mathematics, Elementary Secondary Education, Geometric Concepts

Trojan, Arthur; And Others – 1973
This module, designed to help students find and identify various geometric shapes and solids, contains 26 worksheets. Topics covered by these worksheets include: identification and grouping of objects with particular patterns, work with pentagons, hexagons, spirals, and symmetry. Teaching suggestions are included. (MK)
Descriptors: Activities, Elementary School Mathematics, Elementary Secondary Education, Geometric Concepts
Chazan, Daniel – 1988
Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…
Descriptors: Computer Assisted Instruction, Computer Oriented Programs, Geometric Concepts, Geometric Constructions