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Peer reviewedPosamentier, Alfred S. – School Science and Mathematics, 1975
A method of summing finite sequences by use of formal power series techniques is described. (SD)
Descriptors: Algebra, Curriculum, Induction, Instruction
Peer reviewedHosford, Philip L. – Mathematics Teacher, 1975
The author shows how a rapid computational "trick" can lead to an investigation of Fibonacci-type sequences. (SD)
Descriptors: Algebra, Generalization, Induction, Instruction
Bidwell, James K. – Mathematics Teaching, 1975
After stating that almost any topic could be generalized, the author was challenged to generalize the topic of polyominoes. His response is presented in this article. (SD)
Descriptors: Experiential Learning, Generalization, Geometric Concepts, Geometry
Peer reviewedStrangman, Kathryn Besic – Mathematics Teacher, 1974
Ways of finding the sums of some interesting sequences of numbers are discussed. Finding the patterns creates a challenge, but the patterns are not too difficult for average pupils to discover. Mathematical induction can then be used to prove the formulas. (LS)
Descriptors: Discovery Learning, Induction, Instruction, Mathematics Education
Peer reviewedSherzer, Laurence – Arithmetic Teacher, 1974
Descriptors: Algorithms, Elementary School Mathematics, Induction, Instruction
Peer reviewedOuellette, Hugh – School Science and Mathematics, 1979
A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)
Descriptors: Algebra, Induction, Mathematics Education, Pattern Recognition
Peer reviewedRichardson, Lloyd I., Jr. – Arithmetic Teacher, 1976
The author's experience in leading activities related to the Mobius strip to a fourth-grade class is discussed. (SD)
Descriptors: Elementary Education, Elementary School Mathematics, Geometric Concepts, Induction
Peer reviewedReed, R. – Mathematics in School, 1974
An activity sequence is described. Several aspects of a population problem are developed using isoperimetric graph paper and symmetry principles to derive general rules. (SD)
Descriptors: Graphs, Induction, Learning Activities, Mathematical Models
Peer reviewedSmith, Lyle R. – Mathematics Teacher, 1977
Some mathematical patterns are explored by visualizing and counting line segments, squares, cubes, and relationships between them. (JT)
Descriptors: Geometric Concepts, Induction, Instruction, Mathematical Enrichment
Peer reviewedWoolaver, John N. – Mathematics Teacher, 1974
Descriptors: Activity Units, Discovery Learning, Experiential Learning, Induction
McIntosh, Alistair – Outlook, 1976
When a simple game was presented as a challenge to a primary-school girl, she solved the problem, and went on to generalize her solution. (SD)
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Games
Lucas, John F. – MATYC Journal, 1978
The author organizes some of the information known about the problem of dividing space by five planes in general position along with its extensions, and consolidates it to highlight some interesting patterns in both methods of solving analogous problems and their results. (MN)
Descriptors: College Mathematics, Geometry, Higher Education, Induction
Peer reviewedLiedtke, W. – Arithmetic Teacher, 1974
Descriptors: Discovery Learning, Elementary School Mathematics, Experiential Learning, Games
Peer reviewedOckenga, Earl, Ed.; Duea, Joan, Ed. – Arithmetic Teacher, 1977
Activity sheets posing problems in which students must examine and test various possibilities are presented. (SD)
Descriptors: Elementary School Mathematics, Elementary Secondary Education, Experiments, Hypothesis Testing
Peer reviewedWillcutt, Bob – Arithmetic Teacher, 1974
Multibase arithmetic blocks are used to investigate the minimum number of blocks of each size to make a square of a given size in a given base. Generalizations are made to any size and any base through pattern recognition. The problem is extended to rectangles, cubes, and rectangular solids. (LS)
Descriptors: Elementary School Mathematics, Experiential Learning, Geometric Concepts, Induction
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