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Direct linkSchifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2018
The "Reasoning Algebraically about Operations Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty-four cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation into the…
Descriptors: Mathematics Instruction, Elementary Schools, Middle Schools, Teaching Methods
Download full textHurst, 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
Gibson, David – Mathematics Teaching, 2011
In the September 2010 issue of "Mathematics Teaching," Tom O'Brien offered practical advice about how to teach addition, subtraction, multiplication, and division and contrasted his point of view with that of H.H. Wu. In this article, the author revisits Tom's examples, drawing on his methodology while, hopefully, simplifying it and giving it…
Descriptors: Opinions, Number Systems, Methods, Teaching Methods
Carrier, James A. – ProQuest LLC, 2010
Many students encounter difficulty in their transition to advanced mathematical thinking. Such difficulty may be explained by a lack of understanding of many concepts taught in early school years, especially multiplicative reasoning. Advanced mathematical thinking depends on the development of multiplicative reasoning. The purpose of this study…
Descriptors: Formal Operations, Test Items, Number Systems, Grade 4
Spickerman, William R. – Sch Sci Math, 1969
Descriptors: Addition, Mathematics Education, Multiplication, Number Systems
Peer reviewedArpaia, Pasquale J. – Mathematics Teacher, 1974
Descriptors: Discovery Learning, Instruction, Mathematical Enrichment, Multiplication
May, Lola J. – Grade Teacher, 1969
Descriptors: Addition, Arithmetic, Division, Elementary Education
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
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
