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Peer reviewedScott, P. R. – Australian Mathematics Teacher, 1976
Questions which stimulate discovery learning are asked concerning polygons and curves drawn on an integral lattice. (DT)
Descriptors: Discovery Learning, Geometry, Instruction, Mathematics Education
Peer reviewedOlson, Melfried; Aichele, Douglas B. – School Science and Mathematics, 1979
This activity involved constructing parallelograms on the sides of an arbitrary triangle and discovering a relationship between the areas of the parallelograms. (MP)
Descriptors: Discovery Learning, Elementary Secondary Education, Geometry, Instruction
Peer reviewedGarfunkel, J. – Math Teacher, 1969
Descriptors: Algebra, Discovery Learning, Geometric Concepts, Geometry
Peer reviewedBuchman, Aaron L. – Arithmetic Teacher, 1970
Descriptors: Discovery Learning, Elementary School Mathematics, Geometric Concepts, Geometry
Peer reviewedBalk, G. D. – Educational Studies in Mathematics, 1971
Descriptors: Algebra, Discovery Learning, Geometry, Induction
Peer reviewedSteinen, Ramon F. – National Council of Teachers of Mathematics Yearbook (33rd), 1970
Discussed are several possible methods of teaching a geometry lesson on angles and arcs. (CT)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Induction
Peer reviewedRoe, Iris; Baylis, John – Mathematics in School, 1975
The validity of the formula for the sum of the measures of the interior angles of polygon is explored using non-convex polygons. (SD)
Descriptors: Curriculum, Deduction, Diagrams, Discovery Learning
Download full textScandura, Joseph M.; And Others – 1975
This study is one of several conducted by the authors in their investigation of the use of "higher order rules" in the solution of problems. The focus of the current experiment was determination of the compatibility of identified rules with the knowledge of average teenagers, and of the extent to which instruction in higher order rules…
Descriptors: College Mathematics, Discovery Learning, Generalization, Geometry
Peer reviewedThomas, Diane – Arithmetic Teacher, 1979
Six different methods were used by students to solve the problem of finding the area of a given trapezoid. A seventh method used by textbooks is also discussed. (MP)
Descriptors: Discovery Learning, Elementary School Mathematics, Elementary Secondary Education, Geometry
Peer reviewedCowan, Richard A. – Arithmetic Teacher, 1977
Having students find and cut out of graph paper the 12 pentominoes can provide an enjoyable exercise in perception, discovery, and double checking. The pentominoes can then be used to illustrate informally several geometric concepts. (SD)
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Geometry
Peer reviewedAichele, Douglas B. – School Science and Mathematics, 1975
Examples of activities involving geometric construction are suggested for discovery-oriented instruction. (SD)
Descriptors: Curriculum, Discovery Learning, Experiential Learning, Geometry
Peer reviewedMahaffy, Donald – Mathematics Teacher, 1982
An approach is presented that is based on modifying the standard axiomatic system found in high school geometry books. Such changes start with the introduction of a side-angle-side (SAS) postulate for similar triangles. It is shown how the new system can prove existence and uniqueness of parallel lines. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Instruction
Peer reviewedSpitler, Gail; Weinstein, Marian – Mathematics Teacher, 1976
An activity-based unit on congruence and similarity is described. The themes underlying the unit are the usefulness of analogy in determining mathematical principles, and the notion that the number of conditions imposed on figures affects the number of factors which must be specified to insure congruence or similarity. (SD)
Descriptors: Discovery Learning, Experiential Learning, Geometric Concepts, Geometry
Peer reviewedJamski, William – Mathematics Teacher, 1975
Students, using the materials provided, can determine the number of diagonals, number of triangles formed by the diagonals, and degree measures of interior and exterior angles of regular polygons. The activity is designed to lead them to general formulae for polygons with n sides. (SD)
Descriptors: Discovery Learning, Experiential Learning, Geometric Concepts, Geometry
Hale, David – Mathematics Teaching, 1975
The number of triangles having a fixed length of longest side is investigated. (SD)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Induction
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