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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 reviewedBartlett, W. D. – Australian Mathematics Teacher, 1972
Descriptors: Algebra, Algorithms, Fractions, Mathematics
Peer reviewedBoas, R. P., Jr. – Two-Year College Mathematics Journal, 1972
The problem of getting a correct result when a fraction is reduced by cancelling a digit which appears in both the numerator and the denominator is extended from the base ten situation to any number base. (DT)
Descriptors: Algorithms, College Mathematics, Fractions, Mathematics
Peer reviewedRogers, Joseph W.; Rogers, Margaret Anne – Mathematics Teacher, 1972
Descriptors: Algebra, Algorithms, Fractions, Instruction
Peer reviewedQuinn, Robert J. – Australian Mathematics Teacher, 2000
Discusses an algorithm that converts a fraction in simplest form into a terminating decimal and allows students to explore the efficacy and conceptual bases of a mathematical algorithm. (ASK)
Descriptors: Algorithms, Fractions, High Schools, Mathematics Activities
Peer reviewedEttline, J. Fred – Arithmetic Teacher, 1985
Two difficulties that students have in computing with fractions are idenfitied. Then a procedure is described, stressing the identity element, that resolves these difficulties and increases students' understanding and retention. (MNS)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Fractions
Peer reviewedNess, Harald M., Jr. – Arithmetic Teacher, 1973
An outline of the way that fractions might be presented in ninth grade algebra is given, and implications for elementary school instruction are noted. (DT)
Descriptors: Algebra, Algorithms, Elementary School Mathematics, Fractions
Peer reviewedSherzer, Laurence – Arithmetic Teacher, 1973
Descriptors: Addition, Algorithms, Elementary School Mathematics, Fractions
Ingersoll, Gary M. – California Journal of Educational Research, 1971
Descriptors: Algorithms, Experimental Programs, Fractions, Grade 6
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
Hector, Judith H. – 1978
The relative effectiveness of three methods of teaching fraction computation in the context of the community college was investigated. The use of calculators was a special focus of the study. The three methods were: (1) conventional algorithms with no calculator, (2) conventional algorithms with calculator, and (3) alternative algorithms using…
Descriptors: Algorithms, Calculators, Community Colleges, Computation
Talton, Carolyn – Illinois Mathematics Teacher, 1997
Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)
Descriptors: Algorithms, Arithmetic, Elementary Education, Fractions
Peer reviewedCohen, Israel – Mathematics Teacher, 1974
A method for generating Pythagorean triples is presented and demonstrated with several examples. Its relationship to another method is shown and several interesting related facts are proven. (LS)
Descriptors: Algorithms, Fractions, Geometric Concepts, Instruction
Carney, Harold Francis – 1973
The purpose of the study was to compare the results obtained from a group of fourth-grade students taught to add and subtract rational numbers through the use of field postulates and other properties of whole numbers with fourth-grade students taught by a standard method using objects and the number line. Eight classes of 30 students each…
Descriptors: Algorithms, Doctoral Dissertations, Elementary School Mathematics, Fractions
Zimmermann, Mark – Calculators/Computers Magazine, 1978
Algorithms for generating random numbers are discussed along with disadvantages. A program for a programable calculator is given that overcomes those disadvantages. (MP)
Descriptors: Algorithms, Calculators, Computation, Fractions
