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Curtis, Timothy P. – Mathematics Teaching, 1975
Upper-level secondary students investigated square and triangular numbers and Pythagorean triples using computers. (SD)
Descriptors: Algorithms, Computer Oriented Programs, Computers, Curriculum
Peer reviewedEngle, Jessie Ann – Mathematics Teacher, 1976
A problem solving approach to the teaching of the Pythagorean Theorem is described. (SD)
Descriptors: Curriculum, Geometry, Instruction, Learning Activities
Peer reviewedEhrmann, Sister Rita M. – Mathematics Teacher, 1976
Experiments using soap films illustrate some of the most basic theorems concerning networks in a geometric framework. (SD)
Descriptors: Algebra, Geometric Concepts, Instruction, Laboratory Experiments
Peer reviewedBaumann, John R.; Carter, Larry L. – School Science and Mathematics, 1976
In an experimental approach to the teaching of General Mathematics, students work individually on projects; two teachers work together with the class. Although evaluation is incomplete, the authors feel the approach has had a positive effect on student motivation. (SD)
Descriptors: Educational Experiments, Individualized Instruction, Instruction, Learning Activities
Peer reviewedBrumbaugh, Douglas K.; Hynes, Michael C. – School Science and Mathematics, 1976
A game, similar to bingo is described, in which students match names, symbols, and figures. (SD)
Descriptors: Geometric Concepts, Geometry, Instruction, Instructional Materials
Peer reviewedGalbraith, Mary J. – International Journal of Mathematical Education in Science and Technology, 1975
Hypothesizing that subtraction of (negative) integers requires formal operations, the author describes a study of children's understanding of related concepts. The study involves the use of apparatus embodying properties of the number line. (SD)
Descriptors: Elementary Secondary Education, Instruction, Integers, Learning Theories
Peer reviewedVinner, Shlomo – Educational Studies in Mathematics, 1975
Two approaches to teaching number concepts and operations are discussed. Their relationships to the foundations of mathematics as well as to the characteristics of the learner are explored. On the basis of this discussion the implicit approach is advocated over the definitial approach. (SD)
Descriptors: Curriculum, Educational Philosophy, Instruction, Learning
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 reviewedSobel, Max A. – Mathematics Teacher, 1975
Methods of motivating junior high school students in the study of mathematics includes use of contemporary materials, introducing topics related to history, applications, and recreations, and providing for guessing, laboratory experiences, and discovery. (SD)
Descriptors: Discovery Learning, Educational Media, Experiential Learning, Geometric Concepts
Peer reviewedCavanaugh, William E. – Mathematics Teacher, 1975
this article presents a way to stimulate the study of some properties of numbers. The number of points on the star to be drawn is predicted using the number of teeth on each wheel, the greatest common factor of those numbers, and the number of teeth in the movable wheel. (Author/KM)
Descriptors: Educational Media, Experiential Learning, Instruction, Laboratory Equipment
Peer reviewedFitzgerald, William M. – School Science and Mathematics, 1975
Descriptors: Curriculum Development, Instruction, Integrated Curriculum, Mathematics Education
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
Peer reviewedSicklick, Francine P. – Mathematics Teacher, 1975
Descriptors: Discovery Learning, Instruction, Integers, Mathematical Concepts
Fletcher, T. J. – Trends in Education, 1974
The last 12 years have been years of great change in mathematics in secondary schools, both in content and style of teaching, and it is appropriate to consider what has been achieved, what has been missed and what are the problems in the immediate future. (Author)
Descriptors: Curriculum Development, Educational Objectives, Educational Policy, Educational Trends
Peer reviewedGregory, John W.; Osborne, Alan R. – Journal for Research in Mathematics Education, 1975
Use of conditional statements by seventh-grade mathematics teachers in general class discussions was found to correlate positively with the ability of students to apply the principles of logic. Interaction with mathematics ability was not significant; correlations varied for subscales of the reasoning test. (SD)
Descriptors: Critical Thinking, Discussion (Teaching Technique), Instruction, Learning


