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Lott, Johnny A.; Nguyen, Hien Q. – Mathematics Teacher, 1979
A geoboard-related extremal problem dealing with both concave and convex polygons is discussed and a proof is given of the solution. (MP)
Descriptors: Algebra, Geometry, Instruction, Mathematics

Posamentier, 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

Hosford, 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

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

Britt, Murray – Australian Mathematics Teacher, 1975
An algebraic development of the Fibonnaci sequence, appropriate for use in beginning algebra classes, is presented. (SD)
Descriptors: Algebra, Instruction, Mathematics, Mathematics Education
Thomas, F. H. – Mathematics Teaching, 1974
With the advent of computers and electronic calculators, the role of logarithms in the curriculum is changing. An intuitive approach to logarithms, stressing the notion of isomorphism, is discussed. (SD)
Descriptors: Algebra, Algorithms, Curriculum, Educational Change

Mathematics Teacher, 1977
A familiar Christmas song described as a second-year algebra problem is presented in "The Twelve Days of Christmas". Five strategies for solving inequalities are discussed in "Solving Algebraic Inequalities". (JT)
Descriptors: Algebra, Inequalities, Instruction, Mathematics

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

Landauer, Edwin G. – Mathematics Teacher, 1984
Curiosities offer an interesting alternative to traditional methods of attacking problems. An illustrative situation is given, with graphical, computer, and analytical methods used to solve the problem. (MNS)
Descriptors: Algebra, Computer Software, Graphs, Mathematics Instruction

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

Smith, Lyle R. – Mathematics Teacher, 1987
Some activities are provided to help students develop a conceptual understanding of perimeter, area, and volume, as well as developing skills in spatial visualization and formulating generalizations. (MNS)
Descriptors: Algebra, Geometric Concepts, Learning Activities, Mathematics Instruction

English, Lyn D.; Warren, Elizabeth A. – Mathematics Teacher, 1998
Reviews an alternative patterning approach and highlights the difficulties it can present when students lack the requisite skills and knowledge of processes. Describes how this approach can be used to introduce elementary algebraic ideas and offers recommendations for establishing these important understandings. (ASK)
Descriptors: Algebra, Learning Strategies, Mathematics Activities, Mathematics Instruction

Oliver, June; Savage, John – Mathematics Teacher, 1989
Briefly presented are suggestions on using exercises in number patterns in second-year algebra and factoring quadratics in a 10th-grade enrichment class. (MNS)
Descriptors: Algebra, Equations (Mathematics), Mathematical Enrichment, Mathematics Instruction

Austin, Joe Dan – Mathematics Teacher, 1979
Students use a series of isosceles right triangles constructed on a geoboard to discover patterns and form generalizations. (MP)
Descriptors: Algebra, Discovery Learning, Geometry, Instruction
Bennett, Richard – Mathematics Teaching, 1976
Students examined patterns emerging when numbers placed at vertices in a braided pattern were summed. (SD)
Descriptors: Algebra, Geometric Concepts, Induction, Instruction
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