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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
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 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 reviewedPauker, 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
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 reviewedHartman, 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
Peer reviewedAviv, 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
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 reviewedDuncan, David R.; Litwiller, Bonnie H. – Mathematics Teacher, 1976
Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)
Descriptors: Instruction, Learning Activities, Mathematics, Mathematics Education
Peer reviewedPrichett, Gordon D. – Mathematics Teacher, 1976
Geometric concepts and theorems can be discovered by high school students using the materials described. Among the topics explored are Platonic solids and Euler's formula. (SD)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Instruction
Peer reviewedMuller, Richard C. – Mathematics Teacher, 1977
The author explores relationships among the lengths of sides of a triangle, one of whose angles measures 60 degrees. A computer program designed to search for special triangles is included. (SD)
Descriptors: Computers, Geometric Concepts, Geometry, Learning Activities
Peer reviewedKeller, Clifton – Mathematics Teacher, 1978
The construction of tables of numbers is discussed as a learning activity that involves work in such things as reciprocals, calculators, formulas, patterns, discovery, prime numbers, and other types of numbers. (MP)
Descriptors: Calculators, Charts, Computation, Discovery Learning
