The use of graph paper to outline arrays of multidigit multiplication problems is promoted. (MP)

An unusual way of using the long multiplication algorithm to solve problems is presented. It is conceptually harder, since it involves negative numbers but is easier to perform once mastered, since the size of the multiplication table required is smaller than the standard one. (MP)

An analysis is presented of pupil responses to several items on the second National Assessment of Educational Progress (NAEP) mathematics survey which focused on the concepts and models of the fundamental operations. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

This discussion concerns itself with difficulties encountered by students in multiplication and concludes that when children understand a problem they can usually solve it. (MP)

A Copy/Cover/Compare method of teaching multiplication facts to a sixth grade student with learning disabilities was evaluated. Results indicated that the Copy/Cover/Compare method was effective in increasing percent correct for the targeted multiplication facts. Practical implications of employing this drill and practice procedure in the…

Explores how to use Gardner's Multiple Intelligence theory to help students' master multiplication. Focuses on helping children use their different intelligence strength to attain conceptual understanding of multiplication, develop their own thinking strategies for harder facts, and build mastery through practice and problem solving. (KHR)

Fourth-grade students (n=45) either with or without learning disabilities and achieving or not achieving at grade level in math were asked to explain strategies used to solve computational problems. Strategies were classified as reproductive or reconstructive (which varied in applicability and efficiency). Significant group differences were found.…

Discusses mathematics education research on multiplication and division which implies that instruction should emphasize development of a sound conceptual basis for multiplication and division rather than memorization of tables and rules. Presents action research ideas. (10 references) (MKR)

Explores the extent to which presentations about multiplication and division involving decimals within three series of mathematics textbooks for grades three through eight help students to counter common learner misconceptions about multiplication and division. Results indicate that theory on conceptual change with its concomitant research have…

Shares a coded version of the number line to provide concrete experiences for learning abstract concepts. Using the fundamental theorem of arithmetic, appropriate coded symbols are determined for the prime factorization of each natural number and used to study the concepts of greatest common divisor, least common multiple, square roots, and…

Presented is an activity where students determine the multiplication tables of groups of small order. How this can be used to help develop an understanding of the concept of group isomorphism is explained. (KR)

Six male elementary school students with learning disabilities were taught multiplication facts using a computer software program with a five-second constant time delay procedure. Results indicated that the computer-assisted instructional program was effective. Learning generalized with varying degrees of success. (Author/JDD)

Investigated the use of the pronoun "it" by a nine-year-old girl as a concept variable conveying the message that she had something in mind that she believed the listener understood. (MDH)

Investigates the effect of mental schemes corresponding to additive and multiplicative situations in the process of interpreting and solving problems. Classifies relative difficulties of problems according to their situations which are considered through a written test administered to pupils in grades 2, 3, and 4. Supports the assumption that…

Describes an informal research activity in which third grade students invent their own algorithms for multidigit multiplication and division. Discusses teaching implications and action research ideas. (ASK)