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Zilliox, Joseph T.; Lowery, Shannon G. – Mathematics Teaching in the Middle School, 1997
Describes an extended investigation of polygons and polyhedra which was conducted in response to a challenge posed in Focus, a newsletter from the Mathematical Association of America (MAA). Students were challenged to construct a polyhedron with faces that measure more than 13 inches to a side. Outlines the process, including the questions posed…
Descriptors: Concept Formation, Discovery Processes, Educational Strategies, Experiential Learning

Peace, Nigel; And Others – Mathematics in School, 1997
Describes an activity in which geometry and trigonometry are studied using pyramids. Identical model pyramids are constructed from card stock, along with pyramids of different proportions and cuboids to use as controls. Also includes an investigation of some apparently non-scientific claims. (DDR)
Descriptors: Data Analysis, Discovery Learning, Discovery Processes, Experiential Learning

Mathematics Teacher, 1992
Presents activities that utilize representations of the side, front, and top views of three-dimensional configurations of blocks to develop spatial-visualization skills and aspects of the concept of function. Provides worksheets of these open-ended investigations. (MDH)
Descriptors: Cooperative Learning, Discovery Learning, Discovery Processes, Functions (Mathematics)

Arvold, Bridget – Mathematics Educator, 1993
Describes four activities to develop visualization skills and the concept of dimensionality in which students (1) visualize transforming figures between the second and third dimensions; (2) identify the three-dimensional objects from their two-dimensional projections; (3) conjecture about the vertices, edges, and faces of zero- to four-dimensional…
Descriptors: Discovery Processes, Elementary Secondary Education, Enrichment Activities, Geometric Concepts

Filimonov, Rossen; Kreith, Kurt – Journal of Computers in Mathematics and Science Teaching, 1992
Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…
Descriptors: Abstract Reasoning, Algorithms, Computer Assisted Instruction, Computer Software Development

Taylor, Lyn, Ed. – Arithmetic Teacher, 1992
Describes activities that use the geometric construction capabilities of the Geometer's Sketchpad computer software to explore triangles. Topics investigated include angle measurement, the sum of the measures of the angles of a triangle and a five-pointed star, triangle classification, and area and perimeter of a triangle. (MDH)
Descriptors: Area, Computer Assisted Instruction, Discovery Learning, Discovery Processes

Dotseth, Karen A., Ed.; And Others – Mathematics Teacher, 1993
Presents a series of activities that help students discover the Pythagorean Theorem and extension activities to explore various dissection proofs of the Pythagorean Theorem. Includes reproducible worksheets. (MDH)
Descriptors: Class Activities, Concept Formation, Cooperative Learning, Discovery Learning
Geddes, Dorothy – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" (the "Standards"), provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series…
Descriptors: Abstract Reasoning, Computer Assisted Instruction, Courseware, Discovery Learning
Burton, Grace; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…
Descriptors: Concept Formation, Curriculum Enrichment, Data Collection, Discovery Learning
Burton, Grace; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…
Descriptors: Computer Assisted Instruction, Curriculum Enrichment, Data Analysis, Discovery Learning