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Rogers, Joseph W.; Rogers, Margaret Anne – Mathematics Teacher, 1972
Descriptors: Algebra, Algorithms, Fractions, Instruction

Ness, 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

Sherzer, Laurence – Arithmetic Teacher, 1973
Descriptors: Addition, Algorithms, Elementary School Mathematics, Fractions
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

Cohen, 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
Gardner, Martin – Scientific American, 1978
Discusses the fraction system developed by the ancient Egyptians. Includes puzzles and number-theory problems. (MA)
Descriptors: Algorithms, Ancient History, Concept Formation, Fractions

Holmes, P. – Mathematics in School, 1974
The major portion of the article establishes the basis for the stated rule - to divide by a fraction, turn it upside down and multiply. With this background, three justifications for the rule are given. Several possible errors in students' use of the rule are noted. (LS)
Descriptors: Algorithms, Computation, Division, Elementary School Mathematics
Lankford, Francis G., Jr. – 1972
One hundred seventy-six seventh grade students underwent a recorded interview where each was given a set of computational exercises and asked to say aloud his thinking as he worked them. The most frequently used strategies in computations with whole numbers and fractions are described in detail, an analysis of the nature of wrong answers is…
Descriptors: Algorithms, Computation, Fractions, Grade 7

Willson, William Wynne – Mathematics in School, 1978
A straight forward process for working in fractions on any calculator is presented. The method involves converting a decimal back into a fraction in its lowest terms. (MN)
Descriptors: Algorithms, Calculators, Computation, Decimal Fractions

Bell, Kenneth M.; Rucker, Donald D. – Arithmetic Teacher, 1974
Descriptors: Algorithms, Basic Skills, Division, Elementary School Mathematics
Dade County Public Schools, Miami, FL. – 1971
Designed for the student who has acquired basic computational skills with non-negative rational numbers, this guidebook on minimum course content seeks further development of computational skills with fractions. General goals and performance objectives, a course outline, teaching strategies, sample test items, and a list of six references are…
Descriptors: Algorithms, Behavioral Objectives, Curriculum, Fractions

Rosenberg, Herman – School Science and Mathematics, 1976
The early use of the distributive law can aid students in learning addition of fractions and provide rapid approaches to computation involving other operations. (SD)
Descriptors: Addition, Algorithms, Elementary Education, Elementary School Mathematics

Waters, William M., Jr.; Blakeway, Edward G. – School Science and Mathematics, 1976
A program in BASIC which decomposes fractions is provided. Activities related to student use of the program are listed. (SD)
Descriptors: Algorithms, Computer Programs, Computers, Fractions

Elashhab, Gamal A. – School Science and Mathematics, 1978
An algorithm and sequence which utilizes arrays of entities is proposed for explaining the division of two fractions. (MN)
Descriptors: Algorithms, Diagrams, Division, Elementary Education