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Atkin, R. H. – International Journal of Man-Machine Studies, 1974
A first paper on the development of an algebraic representation of a simplicial complex K. (Author)
Descriptors: Algebra, Mathematical Concepts, Mathematics, Pattern Recognition

De Mestre, Neville – Australian Mathematics Teacher, 1999
Uses colored cube combinations to investigate surface area, volume, and axes of symmetry. (ASK)
Descriptors: Elementary Secondary Education, Geometric Constructions, Geometry, Mathematics Instruction
Albrecht, Bob – Calculators/Computers Magazine, 1978
Number patterns obtained by squaring numbers in a sequence are discussed. A BASIC program for use with TRS-80 is given. (MP)
Descriptors: Computer Programs, Computers, Instruction, Pattern Recognition

Strangman, 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

Litwiller, Bonnie H.; Duncan, David R. – School Science and Mathematics, 1974
Descriptors: Congruence, Integers, Mathematical Concepts, Mathematical Enrichment
Duncan, David; Litwiller, Bonnie – Teacher, 1974
Article is a demonstration lesson in elementary school mathematics that concentrates on mathematical patterns. (GB)
Descriptors: Addition, Arithmetic, Elementary School Mathematics, Mathematics Instruction

Loomis, Alden H. – Arithmetic Teacher, 1979
Some patterns resulting from certain operations on numbers are discussed, analyzed, and explained. A method for predicting the outcome of these operations for any number is developed.
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Instruction
Wiebe, Arthur – AIMS, 1996
Presents activities that emphasize engaging students in proportional reasoning. Introduces students to the rules involved in recognizing proportions and invites students to discover how the numbers in an ordered pair are related. (JRH)
Descriptors: Educational Strategies, Elementary Education, Learning Activities, Mathematics Curriculum

Cacha, Frances B. – Arithmetic Teacher, 1978
Patterns and relationships found in the multiplication table of the numbers zero through nine are discussed as a means to helping students understand certain concepts. (MP)
Descriptors: Elementary Education, Elementary School Mathematics, Instruction, Multiplication

Sgroi, James T. – Mathematics Teacher, 1977
Patterns that appear in the repeating digits of a decimal are used to help convince students that any infinite repeating decimal can be written in the form of a rational number. (JT)
Descriptors: Decimal Fractions, Fractions, Instruction, Pattern Recognition

Parkerson, Elsa – Arithmetic Teacher, 1978
Playing with number patterns can lead students to discover some divisibility tests. (JT)
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Instruction

Duncan, David R.; Litwiller, Bonnie H. – Two-Year College Mathematics Journal, 1973
The problem of determining the number of squares on a checkerboard is extended to finding the number of rectangles on an n x n board and finding the total numbers of cubes and rectangular solids in an n x n x n cube. (DT)
Descriptors: College Mathematics, Geometric Concepts, Mathematical Enrichment, Mathematics

Andreasen, Corey – Mathematics Teacher, 1998
Argues that mathematics is, to a large extent, the study of patterns. Presents an activity in which students search for patterns in the Fibonacci sequence and Pascal's Triangle. (ASK)
Descriptors: Mathematics Activities, Mathematics Instruction, Pattern Recognition, Patterns in Mathematics

Smith, 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

Henry, Boyd – Mathematics Teacher, 1974
Number sequence patterns for counting boundaries of familiar figures are extended to higher dimensions. (JP)
Descriptors: Discovery Learning, Geometric Concepts, Mathematical Concepts, Mathematical Enrichment