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Are Approximate Number System Representations Numerical?
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Pickering, Jayne; Adelman, James S.; Inglis, Matthew – Journal of Numerical Cognition, 2023
Previous research suggests that the Approximate Number System (ANS) allows people to approximate the cardinality of a set. This ability to discern numerical quantities may explain how meaning becomes associated with number symbols. However, recently it has been argued that ANS representations are not directly numerical, but rather are formed by…
Descriptors: Number Concepts, Multiplication, Symbols (Mathematics), Mathematics Skills
Sliding into Multiplicative Thinking: The Power of the "Marvellous Multiplier"
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Hurst, Chris; Hurrell, Derek – Mathematics Education Research Group of Australasia, 2016
Multiplicative thinking is a critical stage in mathematical learning and underpins much of the mathematics learned beyond middle primary years. Its components are complex and an inability to understand them conceptually is likely to undermine students' capacity to develop beyond additive thinking. Of particular importance are the ten times…
Descriptors: Multiplication, Number Systems, Teaching Methods, Number Concepts
Changing Bases by Direct Computation
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Lee, John W. – Mathematics Teacher, 1972
Descriptors: Addition, Algorithms, Instruction, Mathematics
Discoveries in Mathematics: How Are They Made?
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Arpaia, Pasquale J. – Mathematics Teacher, 1974
Descriptors: Discovery Learning, Instruction, Mathematical Enrichment, Multiplication
Modulo Systems: One More Step
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Mann, Nathaniel, III – Mathematics Teacher, 1972
Descriptors: Addition, Arithmetic, Instruction, Mathematical Enrichment
Rectangles, Trees and Factoring
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Pereira-Mendoza, L. – School Science and Mathematics, 1974
Descriptors: Elementary School Mathematics, Experiential Learning, Instruction, Instructional Materials
Variations on Mathematical Themes
May, Lola J. – Grade Teacher, 1969
Descriptors: Addition, Arithmetic, Division, Elementary Education
Ideas for Teachers
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Immerzeel, George; Wiederanders, Don – Arithmetic Teacher, 1971
Four worksheets showing how number patterns may be used to give extra practice and insight into the decimal numeration system and the basic properties of arithmetic. (MM)
Descriptors: Addition, Arithmetic, Elementary School Mathematics, Instruction
Mathematics Curriculum Guide, Grades K-6, Volume 1.
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Los Alamos Public Schools, NM. – 1974
This curriculum guide for grades K-6 is the first volume of a two-part series. It is meant to provide an ordered sequence of mathematical concepts from which teachers may organize an arithmetic program allowing for individual student progress with the greatest amount of individual attention. Each topic is arranged into levels based on the topic's…
Descriptors: Addition, Behavioral Objectives, Curriculum, Curriculum Guides
"Please Sir, I Didn't Do Nothin."
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McAuley, Joe – Mathematics in School, 1990
Provides methods of teaching negative number operations, including addition, subtraction, and multiplication. Presents examples and activities for the operations. (YP)
Descriptors: Addition, Arithmetic, Computation, Integers
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