The purpose of this study is to analyze pre-service elementary teachers' problems in terms of the different meanings of the addition of fractions and to determine the types of errors made in these problems. Data were collected from 83 pre-service elementary teachers in the spring semester of the 2016-2017 academic year by means of a problem posing…

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…

A strategy is presented for teaching arithmetic to students with mental retardation, based on subitizing, skill of recognizing number of objects in a set without actually counting, and pattern recognition. The strategy helps children understand concept of addition by representing number configurations on 5-frames and 10-frames, and reduces need…

Exemplifies a model of a conceptual-support net in the domain of multidigit addition that provides guidance in making curricular and classroom teaching choices about what kinds of conceptual supports to provide in a particular setting. Presents summaries of several different multidigit addition solution methods that indicate how different quantity…

Explores adult adding techniques and ponders whether they have any relevance to working with primary school children. Suggests ways that can help children develop into effective adders. (ASK)

Reviewing addition through the use of palindromes is discussed. A rule for converting any number into a palindrome is presented. (MP)

A math strategy using an "add-card" which illustrates simple addition facts was originally developed for learning disabled students but was also successfully used with mildly retarded students. (CL)

Discusses ways of teaching integers to children who have a wide range of ability. The strategies involve not only the "right" answer but also such considerations as learning the meaning behind the operators, relating operations with integers to real-world situations, and finding a variety of ways to solve the problems. (JN)

"Math Facts Memory Made Easy" is a program which provides teachers with an effective alternative instructional method and an accompanying curriculum designed to improve students' ability to memorize basic mathematical facts. General information about the program and examples of strategies used are presented. (JN)

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)

Reviews research using diagrams, number sentences, and algorithms to help students learn to add and subtract; poses questions on the relationship of instruction to children's knowledge construction; and proposes a research agenda in this area. (86 references) (MKR)

Eight students with Down's syndrome, aged 11 through 13, were taught to add by counting-on in a 5-day teaching program. Teaching included instruction in component skills and use of precision teaching techniques. All students continued to use the technique six months later and generalized the technique to other materials. (Author/DB)

Developed by the Initial Learning in Mainstreaming Project, the manual presents an instructional program to teach mainstreamed handicapped elementary school students the carrying process (regrouping) for addition. In addition to detailed teaching instructions and text of tape recordings for students, the manual includes tests, worksheets, and…

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)

Two methods of adding columns of single digits were compared in terms of the speed and accuracy with which sums are produced. The direct method (successive addition) was found to be better than the method of looking for combinations which sum to ten. (SD)