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Direct linkPamela Weber Harris; Cameron Harris, Contributor – Corwin, 2025
Author Pam Harris argues that teaching real math--math that is free of distortions--will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math…
Descriptors: Mathematics Instruction, Mathematical Logic, Mathematics Skills, Addition
Peer reviewedDraim, N. A. – Mathematics Teacher, 1973
Descriptors: Algorithms, College Mathematics, Division, Instruction
Peer reviewedSweeney-Starke, Nancy L.; Episcopo, Shelly – New York State Mathematics Teachers' Journal, 1996
Describes a lesson on long division using chip trading which follows that algorithm for long division. (MKR)
Descriptors: Algorithms, Arithmetic, Division, Elementary Education
Zollman, Alan; Porzio, Donald; LaBerge, Victoria Boller – Illinois Mathematics Teacher, 1997
Approaches the development of the algorithm from a holistic, spiraling perspective in which students can avoid many of the common mistakes and misunderstandings associated with long division. (CCM)
Descriptors: Algorithms, Division, Elementary Secondary Education, Mathematics Education
Peer reviewedBates, Tom; Rousseau, Leo – Arithmetic Teacher, 1986
The mathematics associated with division is discussed, working from a theorem for the real division algorithm. Real-world, geometric, and algebraic approaches are discussed, as are related topics. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education
Peer reviewedBaxter, R. J. – Australian Mathematics Teacher, 1982
A technique for doing long division without the usual estimation difficulty is presented. It uses multiples of 2 combined with a recording technique. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education
Pinker, Aron – MATYC Journal, 1975
Descriptors: Algebra, Algorithms, College Mathematics, Division
Peer reviewedSmith, Lehi T. – Mathematics Teacher, 1978
A test for divisibility by any prime number is discussed and its proof is given. (MP)
Descriptors: Algorithms, Division, Instruction, Mathematics
Peer reviewedHoffman, N. – Australian Mathematics Teacher, 1978
A current method of teaching long division using repeated subtraction is analyzed as being an example of a sound mathematical method that falls into disrepute when it results in unnecessary, length calculations. (MP)
Descriptors: Algorithms, Concept Formation, Division, Elementary Education
Peer reviewedSowell, David – Arithmetic Teacher, 1971
Described is a student-discovered algorithm for solving a problem involving division by a fraction. (RS)
Descriptors: Algebra, Algorithms, Division, Elementary School Mathematics
Peer reviewedSimpson, Peter A. – Mathematics Teacher, 1978
An algorithm for long division is presented that involves only addition and subtraction. (MP)
Descriptors: Algorithms, Computation, Division, Elementary Secondary Education
Peer reviewedMacDonald, Theodore H. – Australian Mathematics Teacher, 1976
The long division algorithm approached as repeated subtractions is explained. (DT)
Descriptors: Algorithms, Division, Elementary Education, Elementary School Mathematics
Peer reviewedPearson, Eleanor S. – Arithmetic Teacher, 1986
Computational algorithms from American textbooks copyrighted prior to 1900 are presented--some that convey the concept, some just for special cases, and some just for fun. Algorithms for each operation with whole numbers are presented and analyzed. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education
Peer reviewedKurtz, Ray – Arithmetic Teacher, 1973
An analysis is made of the extent to which specific division skills are retained from fourth to fifth grade, with results showing a significant loss in ability during the summer. Implications for instruction are included. (DT)
Descriptors: Algorithms, Division, Elementary School Mathematics, Instruction
Peer reviewedMcKillip, William D. – Arithmetic Teacher, 1981
Student performance on division exercises in the recent National Assessment of Educational Progress (NAEP) is reviewed. Pupil performance on selected exercises is reported and followed by some suggestions for improvement in the teaching of this skill. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Utilization).
Descriptors: Algorithms, Division, Elementary Secondary Education, Evaluation
