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Garofalo, Joe; Durant, Kingsley – School Science and Mathematics, 1991
Teaching which does not in any significant way address the genesis of mathematical ideas hides the fact that mathematics is created by people; that it involves intuition, exploring, conjecturing, and reasoning; and that it is purposeful. Such teaching can give students appearance that much of mathematics is very arbitrary; it just falls from the…
Descriptors: Algorithms, Elementary Secondary Education, Higher Education, Mathematics Education
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Cai, Jinfa – School Science and Mathematics, 1998
Examines 250 sixth-grade students' understanding of arithmetic average by assessing their understanding of the computational algorithm. Results indicate that the majority of the students knew the "add-them-all-up-and-divide" averaging algorithm, but only half of the students were able to correctly apply the algorithm to solve a…
Descriptors: Algorithms, Arithmetic, Computation, Concept Formation
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Vest, Floyd – School Science and Mathematics, 1985
Develops a division algorithm in terms of familiar manipulations of concrete objects and presents it with a series of questions for diagnosis of students' understanding of the algorithm in terms of the concrete model utilized. Also offers general guidelines for using concrete illustrations to explain algorithms and other mathematical principles.…
Descriptors: Algorithms, Elementary School Mathematics, Intermediate Grades, Mathematical Concepts
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Gfeller, Mary K.; Niess, Margaret L.; Lederman, Norman G. – School Science and Mathematics, 1999
Examines solutions presented by preservice teachers for solving graphical and numerical problems involving the arithmetic mean. Participants presented two methods: algorithmic computation and balancing deviations about the mean. A significant difference was found between science and mathematics preservice teachers in the use of balancing…
Descriptors: Algorithms, Higher Education, Mathematics Education, Preservice Teacher Education
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Coulter, David – School Science and Mathematics, 1981
A study to investigate one of the mechanisms teachers may use to convince themselves incorrectly that students have learned science concepts requiring formal operational ability is presented. The investigation indicates instructors may actually teach and test for memorization of algorithms rather than understanding. (MP)
Descriptors: Algorithms, Chemistry, Educational Research, Learning Theories
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Ball, Stanley – School Science and Mathematics, 1986
Presents a developmental taxonomy which promotes sequencing activities to enhance the potential of matching these activities with learner needs and readiness, suggesting that the order commonly found in the classroom needs to be inverted. The proposed taxonomy (story, skill, and algorithm) involves problem-solving emphasis in the classroom. (JN)
Descriptors: Algorithms, Classification, Cognitive Development, Elementary Education
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Chiosi, Lou – School Science and Mathematics, 1986
Provides a short list of integral triples for the design of problems employing unit fractions (so solutions will be positive integers). Also presents an algorithm whereby both primary and imprimitive sets of triples can be easily obtained and shows how to extend the algorithm to solve three-variate unit fraction equations. (JN)
Descriptors: Algorithms, College Mathematics, Equations (Mathematics), Fractions
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Thipkong, Siriporn; Davis, Edward J. – School Science and Mathematics, 1991
A study on the impact of misconceptions on preservice elementary teachers' processes in solving problems involving multiplication and division of decimals is described. Included are the purpose of the study, a description of the subjects, instruments, and interviews, the findings, and discussion. (KR)
Descriptors: Algorithms, Arithmetic, Decimal Fractions, Elementary Education
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Friedel, Arthur W.; And Others – School Science and Mathematics, 1990
Discussed is the effectiveness of using analogies in chemistry instruction. Students' mathematics anxiety, spatial visualization skill, and proportional reasoning ability were found to be important aptitudes for determining chemistry achievement. The relationship between analogs and algorithms is described. (KR)
Descriptors: Academic Achievement, Algorithms, Chemistry, Cognitive Development
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Guckin, Alice Mae; Morrison, Dwight – School Science and Mathematics, 1991
Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)
Descriptors: Algebra, Algorithms, Arithmetic, College Mathematics