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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 reviewedEimer, Rebecca A. – Mathematics Teacher, 1977
An algorithm is given for computing the cube root of any real number on a calculator. (DT)
Descriptors: Algorithms, Calculators, Instruction, Mathematics Education
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 reviewedVinner, Shlomo; And Others – Journal for Research in Mathematics Education, 1981
Common mistakes pupils make when adding fractions are categorized and analyzed. (MP)
Descriptors: Algorithms, Cognitive Processes, Error Patterns, Fractions
Peer reviewedSzetela, Walter – Mathematics Teacher, 1980
The article presents a general test for divisibility that includes composite numbers and shows that such a test can be used to determine divisibility by several numbers simultaneously. (MK)
Descriptors: Algorithms, Division, Mathematical Concepts, Mathematics Instruction
Peer reviewedBarszcz, Edward L.; Gentile, J. Ronald – Journal for Research in Mathematics Education, 1976
When two methods of transforming numbers from one base to another were taught sequentially, the first interfered with learning of the second. (SD)
Descriptors: Algorithms, Instruction, Learning, Mathematics Education
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 reviewedMcCabe, John; Ransom, Marshall R. – Mathematics Teacher, 1979
A class's struggle with the computer solution of a nontrivial problem is related. The use of algorithms allowed a trial-and-error approach.
Descriptors: Algorithms, Computer Programs, Instruction, Number Concepts
Peer reviewedPagni, David L. – Mathematics Teacher, 1979
The concept of prime factorization is discussed and two rules are developed: one for finding the number of divisors of a number and the other for finding the sum of the divisors. (MP)
Descriptors: Algorithms, Computation, Instruction, Mathematical Formulas
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 reviewedPeterson, Gregory K. – Mathematics Teacher, 1979
A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)
Descriptors: Algorithms, Calculators, Calculus, Computation
Peer reviewedIbrahim, Aziz; Gucker, Edward J. – Mathematics Teacher, 1975
Descriptors: Algebra, Algorithms, Mathematical Concepts, Mathematical Enrichment
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
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 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
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