The purpose of this study was to investigate how prospective elementary school mathematics teachers and elementary school students' ability to distinguish proportional situations from nonproportional situations differ or are alike. Participants of the study were 319 prospective primary and middle school teachers and 320 elementary school students…

This submission contains the Proceedings of the 2015 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Université de Moncton in Moncton, New Brunswick. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…

Tabulation of addition and multiplication fact frequencies in arithmetic texts for grades one through six showed that large facts, with operands larger than five, occurred only half as frequently as those with operands in the two-to-five range. Theoretical and practical implications are discussed. (MKR)

The study involving 183 learning disabled and 852 nondisabled children (grades 3 through 6), investigated students' performance on arithmetic basic fact problems in addition, subtraction, and multiplication. Three separate group administered tests were devised, covering 98 basic addition, 98 subtraction, and 98 multiplication facts. Children were…

Directions are given for preparing a puzzle that may be used to provide practice in computation. (MP)

Proposes a four-category classification of semantic structures of one-step word problems involving multiplication and division: forming the n-th multiple of measures, combinatorial multiplication, composition of operators, and multiplication by formula. This classification is compatible with semantic structures of addition and subtraction word…

Allowing students to examine different ways of performing an operation is suggested as a means of increasing their understanding. (MP)

This article focuses on the aspect of mental arithmetic that uses thinking strategies that are effective with large numbers as well as basic facts. Two activities are suggested for lack of the four operations. (MK)

The document presents a criterion referenced test of basic math skills, including division, multiplication, addition, subtraction, fractions, decimals, time, and measurement. (DLS)

This study involved 48 students ages 9 to 12. The 29 experimental group students, divided into small groups, performed learning exercises designed to improve skills in analyzing and processing expressions frequently included in addition and multiplication problems. The exercises helped significantly to improve problem-solving performance. (MNS)

For special education teachers dealing with slow learners or learning disabled students, the paper describes teacher-made diagnostic tasks and settings for addition, subtraction, multiplication and division. Remediation techniques and strategies for common error patterns and misunderstandings are discussed for each of the major parts of the…

Masters to be removed and copied are given. The worksheets are designed to reinforce computational skills and the concepts of largest or smallest numbers, as well as to provide practice is using a straightedge. (MK)

This study was an attempt to provide some evidence on the effects of calculator usage with primary-age children. Specifically, the study compared the performance of children who had access to calculators for an extended period of time, and whose teachers used calculators in specified instructional ways, with children who did not have access to…

Magic squares are used to generate number games similar to tic-tac-toe. Skills that are reinforced include addition of negative numbers and addition and multiplication of fractions. (MP)

This book explores how primary school children with dyslexia or dyspraxia and difficulty in math can learn math and provides practical support and detailed teaching suggestions. It considers cognitive features that underlie difficulty with mathematics generally or with specific aspects of mathematics. It outlines the ways in which children usually…