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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
Sigurdson, Solberg E. – Elements: Translating Theory into Practice, 1974
This article is an attempt to convince the reader that transformational geometry (motion geometry) can be dealt with in a significant manner for students in the junior high school. (Author)
Descriptors: Diagrams, Geometric Concepts, Junior High School Students, Mathematics
Lopez-Real, Francis – Mathematics Teaching, 2002
This article "opens up" the study of the relationship between quadrilaterals and circles to two sets of quadrilaterals--those that can be drawn either inside (cyclic) or outside (tangential) a circle (or both). Of course, "all" triangles are both cyclic and tangential. Or, to use the traditional Euclidean language for triangles, a unique…
Descriptors: Geometric Concepts, Plane Geometry, Mathematics Curriculum, Curriculum Development
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

Warburton, Jacqueline W. – Arithmetic Teacher, 1980
Mnemonic devices to aid in the teaching of perimeter and circumference are suggested. (MK)
Descriptors: Elementary School Mathematics, Elementary Secondary Education, Geometric Concepts, 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, 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
Navarro, C. F. – 1990
Geometry is a fundamental part of the mathematics foundation provided by elementary education. Children have an intuitive understanding of geometry that they draw on when dealing with geometric concepts in activities like drawing, playing hopscotch, defending their "half of the room," and playing sports. This book offers no instruction…
Descriptors: Cognitive Processes, Concept Formation, Elementary Education, Elementary School Mathematics
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
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