(MDH)

Another way to add and subtract, in which the mental regrouping strategy is applied to an original 10-structure, is presented. Pupils use a visual model, called "little person," to move from counting to visualization. Originally designed for use with pupils with learning disabilities, this method has wider applicability. (KR)

Describes Minnesota Clerical Assessment Battery (MCAB), one of the first computerized tests for personnel selection to be made commercially available to businesses. Maintains that application of computerized testing to business is somewhat different from its application to education or counseling. Presents results of survey of potential users who…

The article explores the value of three categories of factors in predicting achievement in fast-paced mathematics classes for 108 high ability adolescents: ability, previous experience and exposure to the content area, and individual student characteristics. Previous experience variables were the most important in predicting learning outcomes.…

Gifted-, normal-, and math-disabled children solved addition problems. Their problem-solving strategies and solution times were recorded. The gifted group showed the most mature distribution of strategy choices, and a verbal counting rate less than 50 percent of the rate of the other groups. (BC)

This article describes an empirical investigation of the extent to which incorrect arithmetic algorithms persist over time. Results with 30 fourth-year and third-year English students over up to 3 months shed light on "bugs," or students' learning of incorrect concepts, and indicate that they are not very stable in children of this age.…

Discusses why it is important to teach arithmetic, showing teachers how to match what they are teaching with children's real-world needs, presenting seven basics for teaching arithmetic today, and offering seven classroom strategies for implementing the instruction. The seven basics emphasize the importance of arithmetic skills and math facts as…

Development of the concept of division was studied in two experiments involving a total of 124 5-, 6-, and 7-year-old students in England. Partitive tasks, more similar to sharing, were easier than quotitive tasks, suggesting that children's initial understanding of division might be based on the action schema of sharing. (SLD)

Examines the use of mental, written, and calculator strategies of numerical computation by 56 upper primary students. Finds that students introduced to a "calculator-aware" curriculum make greater use of mental computation, particularly multiplication strategies based on distribution and compensation. Notes implications for models of…

Demonstrates the merging of cognitive psychology, psychology of mathematics, and special education. Various models of children's addition strategies are reviewed and critiqued. Addition strategy with poor learners should be comprehensive and include interactions between strategies, knowledge, metacognition, motivation, and social factors. (MAK)

This study with 155 fifth-grade Italian children examined students' metacognitive beliefs in mathematics and their relation to problem-solving performance. Poor problem solvers had lower metacognitive awareness, believed number size was an indicator of problem difficulty, and made more computational and procedural errors. (DB)

Richmond (Vermont) Elementary School offers a workshop in elementary-school mathematics for parents. By refreshing their math skills, parents are better able to help their children at home. Many parents who learned math through rote memorization do not understand current approaches to problem solving, such as drawing pictures, making charts,…

Describes a hands-on, guided-learning activity that forges vertical connections among grade levels and relies on physical models in the investigation of algebraic concepts. This lesson helps students discover that a given value can have multiple representations. Includes a sample student activity log. (AIM)

Presents methods for using literature to develop algebraic thinking in an environment that connects algebra to various situations. Activities are based on the book "Anno's Magic Seeds" with additional resources listed. Students express a constant function, exponential function, and a recursive function in their own words as well as…

Describes an activity using M&M's in an algebra class after instruction in solving equations that actively involves students in identifying the variable, formulating an equation, then solving the equation. (AIM)