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Anomalous Cancellation
Peer reviewed Peer reviewed
Boas, 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
Cyclically Permuted Code: A Vaiation on Binary Arithmetic
Peer reviewed Peer reviewed
Kingston, J. Maurice – Two-Year College Mathematics Journal, 1974
Descriptors: Algorithms, College Mathematics, Mathematical Applications, Mathematics Education
Changing Bases by Direct Computation
Peer reviewed Peer reviewed
Lee, John W. – Mathematics Teacher, 1972
Descriptors: Addition, Algorithms, Instruction, Mathematics
Two-Way Arithmetic
Peer reviewed Peer reviewed
Johnston, J. H. – Mathematics in School, 1972
After briefly presenting possible origins for the use of the decimal system for counting and the duodecimal (base twelve) system for many measures, a notational scheme using six positive'' digits and six negative'' digits is presented. Examples and algorithms using this set of digits for operations with whole numbers, fractions, and in…
Descriptors: Algorithms, Arithmetic, Mathematical Concepts, Mathematics
The Algorithms of Euclid and Jacobi
Peer reviewed Peer reviewed
Johnson, R. W.; Waterman, M. S. – International Journal of Mathematical Education in Science and Technology, 1976
In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)
Descriptors: Algorithms, College Mathematics, Computers, Doctoral Dissertations
Routine and Meaning in the Mathematics Classroom.
Peer reviewed Peer reviewed
Steinberg, Heinz – For the Learning of Mathematics, 1989
The question is raised: What comes first: rules of calculation or the meaning of concepts? The pressures on the teacher to teach and simplify knowledge to algorithms are discussed. The relation between conceptual and procedural knowledge in school mathematics and consequences for the teacher's professional knowledge are considered. (DC)
Descriptors: Algorithms, Concept Formation, Decimal Fractions, Elementary School Mathematics
The Benefits of Computer Programming in Developing Algorithmic Thinking.
Peer reviewed Peer reviewed
Petosa, Rita L. – Mathematics Teacher, 1985
In one school, algorithmic development has been infused in the mathematics curriculum. An example of what occurs in mathematics classes since the teachers began using the computer is given, with two students' conjectures included as well as the algebraic justification. (MNS)
Descriptors: Algorithms, Cognitive Processes, Computer Software, Elementary Secondary Education
One Point of View: Choosing a Calculator: Four-Function Foul-ups.
Peer reviewed Peer reviewed
Demana, Franklin; Osborne, Alan – Arithmetic Teacher, 1988
Argues that the type of calculator that is used in mathematics instruction is very important. Suggests that four-function calculators fail to give correct values of mathematical expressions far more often than do scientific calculators. (PK)
Descriptors: Algorithms, Calculators, Computation, Educational Technology
CSMP Mathematics for the Intermediate Grades, Part VI, Teacher's Guide: General Introduction, The World of Numbers, Workbooks, The Languages of Strings and Arrows, Geometry and Measurement, Probability and Statistics. Experimental Version.
Armstrong, Richard; And Others – 1980
This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…
Descriptors: Algorithms, Diagrams, Elementary Education, Elementary School Mathematics
CSMP Mathematics for the Upper Primary Grades, Part III, Teacher's Guide: General Introduction, The World of Numbers, The Languages of Strings and Arrows, Geometry and Measurement, Workbooks. Final Experimental Version.
Heidema, Clare; And Others – 1979
This two-volume teacher's guide is to be used with a first-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools are…
Descriptors: Addition, Algorithms, Diagrams, Elementary Education
CSMP Mathematics for the Upper Primary Grades, Part IV, Teacher's Guide: General Introduction, The World of Numbers, The Languages of Strings and Arrows, Geometry and Measurement, Workbooks. Final Experimental Version.
Heidema, Clare; And Others – 1979
This two-volume teacher's guide is to be used with a second-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools…
Descriptors: Addition, Algorithms, Diagrams, Elementary Education