Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…

Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…

This article describes how the story of Alice in Wonderland helps students understand the operation of multiplying by a rational number less than 1 and related aspects of ratio and proportion. Included with this article is a "How Tall Is Alice?" Worksheet. (Contains 1 table and 6 figures.)

This article discusses the role of the commutative, associative, distributive, and identity properties of addition and multiplication in preparing children for future success in algebra. (Contains 3 figures.)

A multiple-probes-across-tasks design was used to evaluate the effects of a taped-problems intervention on the multiplication fact fluency of 18 students from an intact general education third-grade classroom. During the classwide taped-problems intervention, students were given lists of problems and instructed to attempt to complete each problem…

Weaving number patterns is an exciting way to drill, and the final product is beautiful! (Editor)

Difficulty levels of 168 randomly generated multiplication problems were obtained by testing 238 fifth-graders. Variables concerning the number of operations, digits carried, and magnitude of the digits were defined, and a least-squares procedure was used to construct structural models accounting for 60-70 per cent of observed problem difficulty…

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)

The author advocates the classroom consideration of new algorithms as a means of leading students to make original hypotheses. He discusses a multiplication algorithm based on the differences between squares. (SD)

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)