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Direct linkHuang, Rongjin; Prince, Kyle M.; Schmidt, Teresa – Mathematics Teacher, 2014
The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…
Descriptors: Algebra, Mathematics Education, Mathematics Instruction, Mathematical Applications
Zanetti, Mary – Mathematics Teacher, 2009
Bethel Woods Center for the Arts is a performing arts venue that includes the Woodstock Festival grounds in Sullivan County, New York. The center is adjacent to the original preserved site where visitors can see the historic field where hundreds of thousands of rock music lovers gathered in August 1969. In this article, students analyze a…
Descriptors: Rock Music, Music Activities, Theaters, Photography
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
Peer reviewedLott, 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
Peer reviewedHirsch, Christian R. – Mathematics Teacher, 1978
Three activities that involve space perception, the concept of geometric equivalence, and Euler's formula regarding regular polyhedra are described. (JT)
Descriptors: Experiential Learning, Geometric Concepts, Pattern Recognition, Secondary Education
Peer reviewedHosford, 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
Peer reviewedSwetz, 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
Peer reviewedKing, Irv – Mathematics Teacher, 1974
Descriptors: Experiential Learning, Instruction, Integers, Mathematical Enrichment
Peer reviewedDuncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1985
Four answers to a probability problem involving a perceived coincidence are discussed. (MNS)
Descriptors: Diagrams, Learning Activities, Mathematics, Mathematics Instruction
Peer reviewedBidwell, James K. – Mathematics Teacher, 1973
Descriptors: Instruction, Mathematical Enrichment, Mathematics, Number Concepts
Peer reviewedLyon, 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
Peer reviewedPaterno, 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
Peer reviewedStrangman, 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
Peer reviewedCaldwell, 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
Peer reviewedMathematics 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
