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Speck, Royce A. – School Science and Mathematics, 1979
A coordinate system is imposed on a geoboard to form a table that leads to the discovery of the formula n[(n+1)(n+1)] (n+2)/12. Proof is by induction. (MP)
Descriptors: Algebra, Geometric Concepts, Mathematical Formulas, Mathematics
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Blackburn, Katie T.; White, David L. – School Science and Mathematics, 1985
Simple patterns both in mathematics and music are discussed. Several activities using standard instruments and handmade devices are described. (MNS)
Descriptors: Fractions, Interdisciplinary Approach, Learning Activities, Mathematics Education
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Ouellette, 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
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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
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Burton, Grace M. – School Science and Mathematics, 1982
Pattern recognition is viewed as a fundamental cognitive skill that lays the groundwork for the ability to form abstractions and generalizations. Incorporating patterning into the curriculum of young children is encouraged. (MP)
Descriptors: Basic Skills, Cognitive Development, Early Childhood Education, Elementary Education
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Berlin, Donna; White, Arthur – School Science and Mathematics, 1986
This study investigated the effects of combining interactive microcomputer simulations and concrete activities on the development of abstract thinking in elementary school mathematics. Students in grades 2-4 were assessed on tasks involving designs and patterns. (MNS)
Descriptors: Abstract Reasoning, Cognitive Processes, Computer Simulation, Computer Software
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Erickson, Donna Bird – School Science and Mathematics, 1991
The ability of students to sort cards based on surface features and deep patterns is investigated. The effect of the presence of variables and what makes a pattern difficult or easy for students to recognize are discussed. Study revealed that students are unsuccessful at making connections between expressions, sentences, and sequences which share…
Descriptors: Algebra, Arithmetic, Attention, Fractions
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Sunal, Dennis W.; Tracy, Dyanne M., Eds. – School Science and Mathematics, 1991
Two activities in which students use the human body to collect meaningful data that will be used symbolically in the form of sets of equations to search for patterns in nature are described. The mathematics and science concepts/skills, background information, objectives, lesson outline, and extensions are included. (KR)
Descriptors: Archaeology, Equations (Mathematics), Estimation (Mathematics), Human Body
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Tracy, Dyanne M.; Eckart, Joyce A. – School Science and Mathematics, 1990
Described are pentonimoe activities which nurture a nonanxious attitude toward math and science, promote an atmosphere of cooperation, support development of problem-solving skills, and provide spatial-ability skill exercises. These activities can be used by students at all educational levels. (KR)
Descriptors: Cognitive Development, Concept Formation, Cooperative Learning, Developmental Stages