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Mathematics Teaching Reimagined: Seven Competencies to Foster Robust Student Learning and Engagement
Direct linkNathan D. Lang-Raad – Solution Tree, 2025
Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…
Descriptors: Mathematics Instruction, Competence, Mathematics Skills, Elementary 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 reviewedBrill, Randall L. – Arithmetic Teacher, 1974
Descriptors: Elementary School Mathematics, Experiential Learning, Games, Instruction
Peer reviewedWilliams, J. L. – Australian Mathematics Teacher, 1976
This paper discusses ways of discussing limits in the secondary classroom. Particular attention is paid to showing that hypothesized answers are not limits to given sequences. (SD)
Descriptors: Calculus, College Mathematics, Curriculum, Instruction
Peer reviewedStanley, 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
Peer reviewedErb, Clinton A. – Arithmetic Teacher, 1975
Descriptors: Arithmetic, Discovery Learning, Elementary Education, Elementary School Mathematics
Peer reviewedSicklick, Francine P. – Mathematics Teacher, 1975
Descriptors: Discovery Learning, Instruction, Integers, Mathematical Concepts
Giles, Geoff – Mathematics Teaching, 1975
Using arrays of dots and grids many numerical concepts can be illustrated for students. (SD)
Descriptors: Educational Media, Elementary Education, Elementary School Mathematics, Experiential Learning
