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Flores, Alfinio – Mathematics Teacher, 2008
University mathematics education courses do not always provide the opportunity to make connections between advanced topics and the mathematics taught in middle school or high school. Activities like the ones described in this article invite such connections. Analyzing concrete or particular examples provides a better grasp of abstract concepts.…
Descriptors: Number Concepts, Education Courses, Mathematics Education, Secondary School Mathematics

Swetz, Frank – Mathematics Teacher, 1978
The origin of the magic square, its numerical concepts, and some procedures for its construction are discussed. (JT)
Descriptors: History, Mathematical Enrichment, Number Concepts, Numbers

Bidwell, James K. – Mathematics Teacher, 1973
Descriptors: Instruction, Mathematical Enrichment, Mathematics, Number Concepts

Lyon, Betty Clayton – Mathematics Teacher, 1983
The relation between the area of a rectangle and its perimeter is clarified by looking at patterns. Several examples involving rectangles with integral sides are presented. (MNS)
Descriptors: Mathematics Instruction, Measurement, Number Concepts, Pattern Recognition

Paterno, James X. – Mathematics Teacher, 1989
A familiar procedure for generating magic squares is reviewed. A surprising pattern is noted. (MNS)
Descriptors: Elementary Secondary Education, Learning Activities, Mathematics Instruction, Number Concepts

Caldwell, Janet – Mathematics Teacher, 1978
An activity that offers computational practice, pattern recognition, and the formulation of generalizations is described. (JT)
Descriptors: Addition, Enrichment Activities, Mathematical Enrichment, Number Concepts

Pauker, Andy – Mathematics Teacher, 1979
Tree diagrams with numbers in a given pattern generate questions related to pattern recognition and number concepts such as binary numbers and exponentials. (MP)
Descriptors: Instruction, Integers, Learning Activities, Number Concepts

Lenz, Gerald E. – Mathematics Teacher, 1974
Descriptors: Curriculum, Experiential Learning, Graphs, Instruction

Hartman, Janet – Mathematics Teacher, 1976
Three worksheets for use in studying triangular, square, and pentagonal numbers are presented. (SD)
Descriptors: Instruction, Instructional Materials, Learning Activities, Mathematics Education

Stanley, Francis W. – Mathematics Teacher, 1975
An algebra class asked: What is the smallest positive integer that is divisible by each integer less than or equal to ten? Students discovered factorials and a solution. Verifying the solution produced a series of numbers. Successive differences between entries, triangular arrays, and successive quotients finally led to Pascal's triangle. (KM)
Descriptors: Algebra, Division, Instruction, Integers

Aviv, Cherie Adler – Mathematics Teacher, 1979
These worksheets deal with sums of numbers. Students are asked to find the relationship between the last number in the series, the number of addends, and the sum. (MP)
Descriptors: Calculators, Computation, Instruction, Instructional Materials

Schatzman, Gary – Mathematics Teacher, 1986
An activity project is described which encourages students to question and experiment. Appendices provide examples of student results. (MNS)
Descriptors: Discovery Learning, Learning Activities, Mathematics Instruction, Number Concepts

Tirman, Alvin – Mathematics Teacher, 1986
Three theorems for Pythagorean triples are presented, with discussion of how students can amend their ideas about such numbers. (MNS)
Descriptors: Error Patterns, Geometric Concepts, Learning Activities, Mathematics Instruction

DiDomenico, Angelo S. – Mathematics Teacher, 1985
Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)
Descriptors: Addition, Geometric Concepts, Learning Activities, Mathematics

Forseth, Sonia; Troutman, Andria Price – Mathematics Teacher, 1974
Descriptors: Art, Experiential Learning, Instruction, Mathematical Applications