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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

Duncan, 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

Wyvill, 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

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

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

Meyer, 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

Orton, 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

Bright, 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

Reys, 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

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

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

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

Liedtke, 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
Cwikla, Julie; Patterson, Marcelle Dessommes – Mathematics Teaching in the Middle School, 2006
This article describes an innovative lesson that uses the biography "Barbara McClintock: Alone in her Field" (Heiligman, 1994) to integrate genetics, literature, and mathematics as a context for students to investigate patterns on Indian corn. This two-day lesson requires students to estimate, collect data, identify and describe patterns,…
Descriptors: Probability, Graphs, Genetics, Mathematics Instruction