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Waters, William M., Jr. – School Science and Mathematics, 1973
A method for finding the relationship between the measure of the angle formed by two tangents to a circle and the intercepted arc is presented. (DT)
Descriptors: Deduction, Geometry, Instruction, Mathematics
Peer reviewed Peer reviewed
Swetz, Frank – School Science and Mathematics, 1973
Descriptors: Comparative Education, Experiential Learning, Geometric Concepts, Instruction
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Boersig, Teresa M. – School Science and Mathematics, 1973
Criticizes the DPPC Method (Direct, Pure, Piecemeal, and Complete) of mathematics instruction which is designed to enable the lower ninety percent to become proficient in problem solving. Suggests that this method is deceptive since students learn to follow a prescribed recipe rather than becoming problem solvers. (JR)
Descriptors: Instruction, Mathematics, Mathematics Education, Mathematics Instruction
Peer reviewed Peer reviewed
Krause, Eugene F. – School Science and Mathematics, 1974
The derivation of a method to drive the general term of a sequence is presented. The difference sequences and binomial coefficents are used in the derivation. An application of this method is made to solve Polya's problems concerned with dividing space in regions by a given number of planes. (JP)
Descriptors: Enrichment, Instruction, Mathematical Concepts, Mathematical Formulas
Peer reviewed Peer reviewed
Fitzgerald, William M. – School Science and Mathematics, 1975
Descriptors: Curriculum Development, Instruction, Integrated Curriculum, Mathematics Education
Peer reviewed Peer reviewed
Crow, Warren – School Science and Mathematics, 1974
Descriptors: Enrichment Activities, Experiential Learning, Instruction, Mathematical Applications
Peer reviewed Peer reviewed
Holden, Lyman – School Science and Mathematics, 1974
Descriptors: Algorithms, Curriculum, Elementary School Mathematics, Instruction
Peer reviewed Peer reviewed
Hawkins, Vincent J. – School Science and Mathematics, 1974
Descriptors: Experiential Learning, Geometric Concepts, Geometry, Instruction
Peer reviewed Peer reviewed
Sherzer, Laurence – School Science and Mathematics, 1974
Descriptors: Algebra, Curriculum, Instruction, Integers
Peer reviewed Peer reviewed
Pullman, Howard W. – School Science and Mathematics, 1979
Pick's Theorem, a statement of the relationship between the area of a polygonal region on a lattice and its interior and boundary lattice points, is familiar to those whose students have participated in activities and discovery lessons using the geoboard. The proof presented, although rather long, is well within the grasp of the average geometry…
Descriptors: Geometric Concepts, Geometry, Instruction, Mathematics
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Pereira-Mendoza, L.; Butt, A. – School Science and Mathematics, 1979
Two units are developed that provide the student with experience in constructing auxilary lines that are often needed in formulating geometric proofs. (MP)
Descriptors: Congruence, Geometry, Instruction, Lesson Plans
Peer reviewed Peer reviewed
O'Donnell, William J. – School Science and Mathematics, 1979
An investigation of these numbers is shown to give students an opportunity to make use of such mathematical skills as algebraic substitution, modular arithmetic, counting arguments, and mathematical induction. (MP)
Descriptors: Algebra, Geometry, Instruction, Learning Activities
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Kjeseth, Steve – School Science and Mathematics, 1979
A technique is illustrated for solving relative motion problems using a maneuvering board and vector algebra. The technique can be used to visually illustrate properties of vector algebra in a non-theoretical context. (MP)
Descriptors: Algebra, Instruction, Learning Activities, Navigation
Peer reviewed Peer reviewed
Lott, Johnny W.; Smith, Paul – School Science and Mathematics, 1979
Four problems are given and discussed involving reflection about a line or the reflection properties of conic sections. Solutions are given. (MP)
Descriptors: Algebra, Geometry, Instruction, Mathematics
Peer reviewed Peer reviewed
Brumbaugh, Douglas K., Ed.; Hynes, Michael C., Ed. – School Science and Mathematics, 1979
A classroom photography activity is outlined that motivates learning of mathematical topics such as estimation, geometry, ratio, measurement, and algorithms. (MP)
Descriptors: Algorithms, Geometric Concepts, Instruction, Laboratories
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