Developing and supporting understanding of the meaning of multiplication and multiplicative relationships in students with mathematics learning disabilities requires carefully designed instruction that emphasizes strategic representation use. This article discusses three ways in which teachers can incorporate multiple representations within…

Developing and supporting understanding of the meaning of multiplication and multiplicative relationships in students with mathematics learning disabilities requires carefully designed instruction that emphasizes strategic representation use. This article discusses three ways in which teachers can incorporate multiple representations within…

Drawing on the work of Gattegno, it is suggested that a powerful way of teaching mathematics is to introduce symbols as relationships between visible or tangible resources. The symbols are abstract (formal) from the beginning and yet there are concrete resources to support their use. Drawing on data from a research project in primary schools in…

The author has been prompted to write this article about finger multiplication for a number of reasons. Firstly there are a number of related articles in past issues of "Mathematics Teaching" ("MT") which have connections to this algorithm. Secondly, very few of his primary teaching students and professional colleagues appear to be aware of the…

A multiple-probe-across-problem-sets (tasks) design was used to evaluate the effects of the Detect, Practice, and Repair (DPR) on multiplication-fact fluency development in seven third-grade students nominated by their teacher as needing remediation. DPR is a multicomponent intervention and begins with a group-administered, metronome-paced…

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…

The purpose of this study was to investigate prospective mathematics teachers' knowledge of common conceptions and misconceptions that sixth and seventh grade students had about multiplication of fractions. In addition, prospective teachers' knowledge of the sources of these misconceptions and strategies they knew to overcome these misconceptions…

Two procedures significantly improved multiplication skills in six students (nine to 12 years old) with learning disabilities. The procedures were writing out multiplication problems and saying problems aloud while working. (CL)

Describes strategies for teaching elementary students to solve a multiplication problem using the lattice method. (JOW)

Most people struggle to process information auditorily but this is often the way that it is taught. Presents a highly effective method for teaching multiplication that can be accessed at students' fingertips. (ASK)

Presents an activity on visualizing fingers for arithmetic, counting, and multiplication. (ASK)

By providing children with both the tools to learn basic facts and access to facts not yet learned, teachers give children the freedom to attend to the meaning of algorithms and word problems, which play an important role in the application of mathematics in daily life. (MP)

Presents a study which compared the achievement and basic process understanding of groups of pupils (12 fourth grade classes in four school systems) who were taught multidigit multiplication by either the distributive method or the lattice method. (ED)

Sometimes a picture is worth a thousand numbers. Use geometric representations to teach and reinforce the multiplication tables. (Editor)

Use of an ancient method of mental calculation with aliquot parts is illustrated. Other tips for helping children reason are also included. (MNS)