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Gardner, Martin – Scientific American, 1980
Some patterns in prime numbers and their implications for general theorems are presented. Much of the material is taken from "The Strong Law of Small Numbers," an unpublished paper by Richard Kenneth Guy. (MP)
Descriptors: Mathematical Concepts, Mathematical Enrichment, Mathematics Education, Number Concepts

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

Kliman, Marlene; Janssen, Susan – Mathematics Teaching in the Middle School, 1996
As students translate number words into the language of mathematics they explore number composition, equivalent expressions, and patterns in numbers and words. (MKR)
Descriptors: Elementary Education, Intercultural Communication, Junior High Schools, Language Role

Stemn, Blidi S.; Collins, Jill E. – Teaching Children Mathematics, 2001
Presents a lesson that teaches number patterns through the Vedic matrix found in Vedic mathematics from India. (KHR)
Descriptors: Algebra, Elementary Education, Foreign Countries, Mathematics Instruction

Pitts, J. L. – Mathematics in School, 1979
Patterns generated by the set of natural or counting numbers are discussed. Included are quartic, odd, square, and triangular numbers. (MK)
Descriptors: Addition, Mathematical Concepts, Mathematical Enrichment, Mathematics

Toumasis, Charalampos – School Science and Mathematics, 1994
Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)
Descriptors: Algebra, Discovery Processes, Learning Activities, Mathematics Education

Litwiller, Bonnie H.; Duncan, David R. – Arithmetic Teacher, 1989
Describes four activities designed to discover numerical patterns using a calculator or paper and pencil. Provides tables and figures for the activities. (YP)
Descriptors: Calculators, Computation, Elementary Education, Elementary School Mathematics

Duncan, David R.; Litwiller, Bonnie H. – Arithmetic Teacher, 1990
Presents two practice-discovery activities to furnish computational review in a nonroutine setting. Provides a worksheet for the activities. (YP)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics

Selkirk, Keith – Mathematics in School, 1992
Suggests that there is sufficient interest in the changing arrangements of stars in the flag of the United States over the years to introduce a mathematical investigation into the various possible patterns of stars. (Author/JJK)
Descriptors: Elementary Secondary Education, Geometric Concepts, Integrated Activities, Interdisciplinary Approach

Bennett, Albert B., Jr. – Mathematics Teacher, 1989
A visual model of fractions, the tower of bars, is used to discover patterns. Examples include equalities, inequalities, sums of unit fractions, sums of differences, symmetry, and differences and products. Infinite sequences of numbers, infinite series, and concepts of limits can be introduced. (DC)
Descriptors: Charts, Class Activities, Discovery Learning, Fractions

Cook, Marcy, Ed. – Arithmetic Teacher, 1988
The focus is on using the hundred chart to discover patterns, make predictions and generalizations, and visualize the number system in an organized manner. Four worksheets are on even-odd numbers (Levels 1-2), digits (Levels 3-5 and 5-6), and percentages (Levels 7-8). (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Instructional Materials, Learning Activities

Shoemaker, Richard W. – Mathematics Teacher, 1988
Suggests that by using elementary concepts and arithmetic methods it is possible to find many interesting aspects of mathematics. The activities could be used to allow students to make individual discoveries about mathematics. (PK)
Descriptors: Class Activities, Discovery Learning, Mathematical Concepts, Mathematics Curriculum

Johnson, John M. – Mathematics Teacher, 2003
Discusses the distribution of primes and focuses directly on one particular recurring pattern among them. (Author/NB)
Descriptors: Mathematics Education, Numeracy, Patterns in Mathematics, Prime Numbers

Duncan, David R.; Litwiller, Bonnie H. – Arithmetic Teacher, 1986
Practice on computation is provided using new and novel situations, with discovery of number patterns a bonus of the computation. Activities with disguised addition and multiplication tables for whole numbers and integers are presented for varying levels. (MNS)
Descriptors: Addition, Computation, Drills (Practice), Elementary School Mathematics

Shiflett, Ray C.; Shultz, Harris S. – Mathematics Teacher, 2002
Characterizes those numbers that are the sum of consecutive natural numbers and counts how many such representations a given number has. (Author/NB)
Descriptors: Enrichment Activities, Mathematics Instruction, Numbers, Patterns in Mathematics