The purpose was to ascertain whether there existed differential achievement effects associated with the factors and levels of context, form, item-stem and item-response format, size of common number, and school grade, as they relate to two variations of distributivity. Twelve 9-item tests were constructed and given to intact 4th-, 5th-, 6th-, and…

The ARROW (Aural, Read, Respond, Oral, Written) Technique using students' self-voice echoing was the most effective method in helping 25 dyslexic adolescents learn their multiplication tables compared to tutor voice, read and say, and write and say methods. (CL)

The author discusses some unique and non-routine ways of developing the multiplication facts. (CT)

Outlines a pattern for multiplication of fractions which facilitates the solution of a large class of problems. Beginning with the rate pair motion, a sequence of interrelated ideas are suggested that should help develop ability in problem solving in both relatively common and in more technical situations. (BR)

Children (n=336) in grades 1-5 were interviewed individually using a Piagetian task to study development from additive to multiplicative thinking. Multiplicative thinking was found to appear early (in 45% of second graders) but to develop slowly (only 48% of fifth graders used consistently solid multiplicative thinking). (Author/MKR)

This study examines a wide range of numerical representations (i.e., quantity, knowledge of multiplication facts, and use of parity information) in adult deaf signers. We introduce a modified version of the number bisection task, with sequential stimulus presentation, which allows for a systematic examination of mathematical skills in deaf…

Drawing upon research, theory, classroom and personal experiences, this paper focuses on the development of primary-aged children's computational fluency. It emphasises the critical links between number sense and a child's ability to perform mental and written computation. The case of multi-digit multiplication is used to illustrate these…

This project was designed to plan a short study self-instructional film for teaching the use of the C and D scales of the slide rule in solving simple problems in multiplication and to produce one of these films. The film was designed to exploit the unique presentational features of a cartridge loading projector equipped with automatic stop and…

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

A random sample of 214 fourth grade students randomly assigned to two treatments completed 15 programmed lessons on multiplication of whole numbers. The treatments differed in the physical referent used in the programmed lessons. One group used an array as the physical referent (Repeated-Addition). The other used a coordinate system and ordered…

Fifteen answers are given by a third-grade class to the question, How can you find the answer for 7x8? The author concludes that a wide variety of experience is necessary to nurture children's wide diversity of learning capabilities. (Author/MP)

Monsters are used as an example to illustrate that multiplication of the natural numbers is associative. (JT)

This is the third in a series of articles on using mathematical techniques from history to provide an interesting way for middle graders to practice math. (Editor)