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

The study investigated types of errors made by learning disabled children by analyzing written responses to multiplication and division problems. Error classifications are discussed, and possible causes are suggested. The importance of thorough investigation of errors by teachers is stressed. (Author/DB)

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

The article describes learning activities incorporating movement, storytelling, and music with instruction on multiplication facts and concepts for elementary special education students. The author explains that such an approach can alleviate boredom and frustration. (CL)

This paper presents the results of a study of the structural development of young students' drawings of arrays, and in particular, the significance of using lines instead of drawing individual squares. Students' array drawings were classified on basis of numerical properties, and perceived structural similarities that reflected the spatial…

This paper proposes that there are some students who understand mathematics but just can't remember the rules to use it, and others who have accurate rote memory but can't apply the facts they know or do not understand the concepts behind them. The guided discovery approach to teaching mathematics is introduced. This approach promotes a system of…

The purpose of this study was to document and trace how students' understanding of situations that involve finding a fractional part of a fraction developed during a course of instruction in which students explored and represented various kinds of situations using each of the five representational systems. A class of 5th grade students (n=22)…

A discussion of the various algorithms used for multiplication. Repeated addition, arrays, the distributive law, Egyptian and Russian Peasant Multiplication, Gelosia, Napier's Rods and Genaille's Rods are all described, and examples of multiplying using each method are explained. (DT)

Uses the geoboard as an aid in developing an intuitive "feel for the relationship between sums of numbers in a two by two matrix. Numbers in the matrix are represented as "area numbers on the geoboard. (RP)

Early experience with grouping objects is valuable for later understanding of and work with place value, division, and multiplication. Examples are drawn from the Developing Mathematical Processes Curriculum Project at the Wisconsin Research and Development Center for Cognitive Learning. (RS)

A teacher describes ways in which learning disabled students can learn through tactile-kinesthetic approaches devised by the teacher. Examples are given of multiplication instruction by counting on fingers, and grammar and long division instruction through movement. (CL)