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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
McDowell, Eric L. – Mathematics Teacher, 2016
By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…
Descriptors: Fractions, Number Systems, Number Concepts, Numbers
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
Spickerman, William R. – Sch Sci Math, 1969
Descriptors: Addition, Mathematics Education, Multiplication, Number Systems
Peer reviewedRosenberg, Herman – School Science and Mathematics, 1976
The early use of the distributive law can aid students in learning addition of fractions and provide rapid approaches to computation involving other operations. (SD)
Descriptors: Addition, Algorithms, Elementary Education, Elementary School Mathematics
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
Download full textBergeron, Jacques C., Ed.; And Others – 1987
The Proceedings of PME-XI has been published in three separate volumes because of the large total of 161 individual conference papers reported. Volume I contains four plenary papers, all on the subject of "constructivism," and 44 commented papers arranged under 4 themes. Volume II contains 56 papers (39 commented; 17 uncommented)…
Descriptors: Addition, Affective Behavior, Algebra, Arithmetic
