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Direct linkBroumi, Said, Ed. – IGI Global, 2023
Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods…
Descriptors: Theories, Mathematical Logic, Intuition, Decision Making
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 reviewedEdge, John – Mathematics in School, 1979
Two algorithms are developed for finding the square roots of numbers. One is based on the rule that x square is the sum of the first x odd numbers; the other is algebraic. (MP)
Descriptors: Algorithms, Instruction, Learning Activities, Mathematics
Peer reviewedBezuszka, Stanley J. – Mathematics Teacher, 1981
A history of perfect numbers is presented, which briefly covers the 27 values known at this time. (MP)
Descriptors: Algorithms, Mathematical Enrichment, Mathematics Education, Mathematics History
Hadar, Nitsa – Mathematics Teaching, 1979
Suggestions for teaching the concept of division by zero are given. (MK)
Descriptors: Algorithms, Division, Elementary Secondary Education, Mathematical Concepts
Peer reviewedWallace, Edward D.; Chance, Joseph E. – Mathematics Teacher, 1986
Described is a simple algorithm that can be used for the input, arithmetic manipulation, and output of large integers in their exact representations. Three BASIC programs are included that apply this method to the problem of multiplication of large integers, computation of factorials, and the generation of palindromic integers. (MNS)
Descriptors: Algorithms, Computer Software, Integers, Mathematics Instruction
Peer reviewedCook, Lyle; McWilliam, James – Two-Year College Mathematics Journal, 1983
The problem of finding cube roots when limited to a calculator with only square root capability is discussed. An algorithm is demonstrated and explained which should always produce a good approximation within a few iterations. (MP)
Descriptors: Algorithms, Calculators, College Mathematics, Higher Education
Peer reviewedKolb, John R. – Mathematics Teacher, 1982
Several subtraction algorithms are analyzed to see if they involve borrowing. The main focus is on an analysis of a procedure called the residue method. The operational arithmetic which underlies the symbolic manipulations is examined and conditions where the method does and does not use borrowing are highlighted. (MP)
Descriptors: Algorithms, Arithmetic, Computation, Elementary Education
Peer reviewedLeutzinger, Larry P.; Nelson, Glenn – Arithmetic Teacher, 1980
Some techniques for developing the ability to multiply and divide by powers of ten with ease and understanding are presented. (Author/MK)
Descriptors: Activities, Algorithms, Division, Elementary Education
Peer reviewedDietz, Charles – Perspectives in Education and Deafness, 1993
Strategies for rapid mental computation are explained, including multiplying by 11 (or 21, 31, etc.); adding columns of numbers; and multiplying 2-digit numbers. Rapid mental computation is suggested as a motivator for investigating the underlying mathematical principles. (DB)
Descriptors: Algorithms, Computation, Elementary Secondary Education, Learning Strategies
Peer reviewedMathematics Teacher, 1979
Topics covered include alternate methods for finding LCM and GCF, imaginative word problems, and a primes-breakdown method of factoring quadratics. (MP)
Descriptors: Algebra, Algorithms, Instruction, Learning Activities
Cohen, Don – Mathematics Teaching, 1976
Upper elementary school students created their own algorithms for finding products of whole numbers. The algorithms were similar to familiar ones for finding products involving 9 and 11. (SD)
Descriptors: Algorithms, Basic Skills, Elementary Education, Elementary School Mathematics
Peer reviewedDavies, H. B. – International Journal of Mathematical Education in Science and Technology, 1980
Attention is drawn to an ancient Greek method for finding the least common multiple (LCM) of two numbers. A link is established between this method and a well-known method of obtaining the highest common factor (HCF) numbers. This leads to consideration of some relationships between HCF and LCM. (Author/MK)
Descriptors: Algorithms, Mathematical Formulas, Mathematics Curriculum, Mathematics Instruction
Peer reviewedTrotter, Terrel, Jr.; Myers, Mark D. – Arithmetic Teacher, 1980
An activity is presented which provides a novel approach to number patterns, experience in following an unusual algorithmic procedure, and practice in systematic search techniques and basic facts. (MK)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Mathematics Curriculum
Peer reviewedBolduc, Elroy J., Jr. – Mathematics Teacher, 1976
The algorithms for finding cube roots is approached by slicing a cube. (SD)
Descriptors: Algorithms, Discovery Learning, Geometric Concepts, Instruction
