Presents preschool and kindergarten teachers with ideas and guidelines for teaching mathematics, focusing on the processes of classifying, comparing, matching, adding, and subtracting in relation to number sets, especially as children encounter sets in play settings. (BB)

Examines the hypothesis that problem comprehension and computational processes interact during the solving of arithmetic word problems. Results suggest the absence of any interaction between the two processes. Questions the notion that automatized retrieval facilitates problem solving, as well as assertions suggesting that increasing computational…

Describes three approaches teachers can use to help students understand multiplication and division: calculator explorations, problem solving, and discussion topics. Specific examples are provided for primary and upper grades. (MDM)

Compared children's performance on initial-unknown and final-unknown problems involving the addition or subtraction of a single item. Found that although 4-year olds responded in a directionally appropriate way to the final-unknown problems but not to the corresponding initial-unknown ones, 5-year olds were able to respond appropriately to both.…

Examined Korean second and third graders' understanding of multidigit addition and subtraction. Korean children showed exceptional competence in multidigit addition and subtraction, and their solutions were based on quantitative understanding of multidigit numbers. Results are compared to the literature on the performance and conceptual structures…

This study demonstrated the effectiveness and efficiency of a constant time delay procedure (four seconds) to teach five elementary students with learning disabilities multiplication facts. Learning generalized to a paper-and-pencil task, to a different presentation orientation, and to reverse facts. (DB)

Children in grades three through five and adults performed a number-matching task. Found that changes in the strength of arithmetic connections occurred with development and accounted for individual differences among adults. Individual differences among children were related to changes in the strength of number-line connections. (Author/GLR)

The results of this case study of a 15-year-old dropout indicate the potential usefulness of incorporating process mnemonics, particularly in the form of allegorical characterizations and stories, within mathematical instructional strategies for the learning disabled. (15 references) (JJK)

A nine-step model is presented for diagnosing and correcting computation errors in arithmetic. The model, which lends itself to curriculum-based assessment and instruction, involves such steps as identifying error patterns, interviewing the student, and selecting the appropriate corrective strategy. (JDD)

Investigated the effect of children's problem schemata and working memory span on the accuracy of children's solutions of arithmetic word problems. Results supported the hypothesis that the amount of working memory resources activated is independent of schemata activation, and indicated a weak relationship between memory and problem-solving…

Discusses the possible lack of credibility in educational interactive computer simulations. Topics addressed include "Shopping on Mars," a collaborative adventure game for arithmetic calculation that uses direct manipulation in the microworld; the Alternative Reality Kit, a graphical animated environment for creating interactive…

Examines arithmetic and algebra knowledge from a cognitive perspective in an effort to determine what constitutes a pre-algebraic level of understanding. Presents results of a longitudinal study designed to investigate students' readiness for algebra. Proposes a model for the transition from arithmetic to pre-algebra to algebra. Contains 29…

Shares different students' solutions for a problem entitled How Much Film?, which appeared in the November 1997 issue of Teaching Children Mathematics. The problem has to do with how many rolls of film are necessary to take 687 pictures. (ASK)

Illustrates the addition, subtraction, and representation of fractions using an area model and a measurement model. Also demonstrates multiplication and division of fractions by employing the area model. (ASK)

Argues that deficits in basic arithmetic make it difficult for students to continue in mathematics and succeed in subjects such as chemistry and physics. Focuses on the state of the basic arithmetic skills of inner-city students. (DDR)