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Scott, P. R. – Australian Mathematics Teacher, 1978
Investigated here are some of the results which can be obtained using the double-sided straight edge. Seventeen possible constructions are presented with solutions or partial solutions given to most. (MP)
Descriptors: Geometry, Plane Geometry, Problem Sets, Problem Solving

Pegg, John – Australian Mathematics Teacher, 1987
Described is a method of teaching geometric constructions. The method relates five basic constructions to the properties of a rhombus. (RH)
Descriptors: Geometry, Instructional Materials, Mathematics Instruction, Plane Geometry

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

Hirstein, James J.; Rachlin, Sidney L. – Mathematics Teacher, 1980
A system of area measurement developed for the isometric geoboard is used to justify some relationships that are often proved using square units of area. (Author/MK)
Descriptors: Geometric Concepts, Geometry, Manipulative Materials, Mathematics Instruction

Wenninger, Magnus J. – Mathematics Teacher, 1978
A method is given for the analysis of geodesic domes involving plane geometry. The method shows how to calculate all necessary angles and chords, given the length of one side. (MP)
Descriptors: Geometry, Instruction, Learning Activities, Mathematical Enrichment

Moulton, J. Paul – Mathematics Teacher, 1975
The relationship between area and perimeter is presented through a series of laboratory-type activities and demonstrations. (SD)
Descriptors: Experiential Learning, Geometric Concepts, Geometry, 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

Levine, Deborah R. – Mathematics Teacher, 1983
The proof is given that, if three equilateral triangles are constructed on the sides of a right triangle, then the sum of the areas on the sides equals the area on the hypotenuse. This is based on one of the hundreds of proofs that exist for the Pythogorean theorem. (MP)
Descriptors: Geometric Concepts, Geometry, Mathematical Enrichment, Plane Geometry

Bradley, Mark E. – Mathematics Teacher, 1980
This article, written by a high school junior, shows that there can never be more than two isosceles triangles having the same perimeter and area. (MK)
Descriptors: Geometric Concepts, Geometry, Mathematical Concepts, Measurement Techniques

Olson, Melfried; Olson, Judith – Mathematics Teacher, 1983
The activities are designed to have students manipulate physical models of geometric figures, engage in spatial visualization and observe relationships between triangles and parallelograms and between triangles and rectangles. Worksheets designed for duplication are included in the materials and an answer key is provided. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Instructional Materials

Haigh, Gordon – Mathematics in School, 1982
The material examines areas generated by combinations of: (1) Circles and Triangles; (2) Closely Packed Circles; and (3) Overlapping Circles. The presentation looks at examples of certain areas and at logical ways to generate the necessary algebra to clarify the problems and solve general cases. Ideas for extension are provided. (MP)
Descriptors: Geometric Concepts, Geometry, Instruction, Instructional Materials
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

Hurd, Spencer P. – Mathematics Teacher, 1988
Establishes that the congruence criteria for polygons with more than three sides (such as ASASA for Quadrilaterals) are easily proved within the scope of the standard high school geometry course. Also argues that elegant applications of these criteria are more easily found once these new criteria are known. (PK)
Descriptors: Geometric Concepts, Geometry, Mathematical Concepts, Mathematical Logic

Lightfoot, John – Australian Mathematics Teacher, 1978
A program is outlined for the treatment of Tessellations. Major topics are: Introduction; Tessellations; Regular Tessellation; Semi-Regular Tessellations; Nonregular Tessellations; and Miscellaneous Tessellations and Filling Patterns. (MP)
Descriptors: Art Activities, Geometry, Mathematics Education, Patterns in Mathematics

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
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