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Mathematics in School

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Heidema, Clare	2
Armstrong, Richard	1
Johnston, J. H.	1

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Two-Way Arithmetic

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

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