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Huang, 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
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 reviewedWyvill, Ron – Mathematics in School, 1983
Activities with triangular, square, pentagonal, hexagonal, and octagonal numbers are briefly discussed. (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Learning Activities, Mathematics Instruction
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 reviewedBlackburn, 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
Peer reviewedMeyer, Ruth Ann; Riley, James E. – Mathematics Teacher, 1986
This activity is designed to help students recognize and extend rectangular patterns and to use patterning to formulate rules for "nth" cases. Three worksheets are included. (MNS)
Descriptors: Geometric Concepts, Learning Activities, Mathematics Instruction, Pattern Recognition
Peer reviewedOrton, Tony; Reynolds, Charles – Mathematics in School, 1986
Advocated is developing intuitive ideas of limits whenever the opportunity arises in elementary mathematics. Examples are given for geometry, fractions, sequences and series, areas, probability, graphing, and the golden section. (MNS)
Descriptors: Elementary Secondary Education, Learning Activities, Mathematics, Mathematics Curriculum
Peer reviewedBright, George W. – Arithmetic Teacher, 1989
Developing numerical relationships with calculators is emphasized. Calculators furnish some needed support for students as they investigate the value of fractions as the numerators or denominators change. An example with Logo programing for computers is also included. (MNS)
Descriptors: Calculators, Elementary Education, Elementary School Mathematics, Fractions
Peer reviewedReys, Robert E., Ed.; Reys, Barbara J., Ed. – Arithmetic Teacher, 1986
Activities on estimation and mental computation are presented. Patterns on a hundred chart, an amazing fact, teaching and testing tips, and other references are included. (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Estimation (Mathematics), Learning Activities
Peer reviewedSchatzman, 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
Peer reviewedTirman, 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
Peer reviewedSmith, 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
Peer reviewedDiDomenico, 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
Peer reviewedLiedtke, Werner – Arithmetic Teacher, 1983
Lessons for first-grade students deal with the numbers five and six. How groups of five and six differ is the focus of the comparing and counting activities. (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Grade 1, Learning Activities
NCTM Student Math Notes, 1984
Several math activities designed to teach patterns which can be found in arrays of 16 squares organized into a four-by-four pattern are presented in this issue of "Student Math Notes." The activities include: (1) determining how many squares and rectangles are contained in a four-by-four array; (2) figuring out the least number of lines…
Descriptors: Elementary Education, Elementary School Mathematics, Instructional Materials, Learning Activities

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