Reports on the performance of a demented elderly patient who, although he had impaired functions in several cognitive domains, showed exceptional calculating abilities superior to those of young adults. Addresses the problem of various mathematical dissociations at different levels. (Contains 30 references.) (Author/ASK)

Introduces addition, subtraction, multiplication, and division of fractions using area models such as rectangles and circles, or linear models such as the number line and fraction strips. (ASK)

This study focused on the extent to which the comparison of isomorphic problems might enrich subjects' representations and solving strategies. Results with 166 sixth graders solving isomorphic problems show that comprehension increased as problems were processed and that simultaneous presentation of all problems was more favorable than successive…

Argues that deaf children lag behind their hearing cohorts in mathematics achievement tests and that this difficulty is a consequence of their lack of covert counting strategies and reliance on memorized verbal facts. Investigates the acquisition of an alternative method by deaf students (N=6). Recommends examining better ways to teach arithmetic…

Most people struggle to process information auditorily but this is often the way that it is taught. Presents a highly effective method for teaching multiplication that can be accessed at students' fingertips. (ASK)

Presents an activity on visualizing fingers for arithmetic, counting, and multiplication. (ASK)

Reports on a study comparing the use of Multi-base arithmetic blocks (MAB) and an alternative, LAB (linear arithmetic blocks) on the basis of epistemic fidelity and accessibility for students. Use of LAB was associated with more active engagement by students and deeper discussion. (Author/MM)

Four experiments examined whether studying a single Deese/Roediger-McDermott (DRM) list produces semantic priming for nonstudied critical items (CIs) and semantic + repetition priming for studied associates. After 30 s of mental arithmetic that followed the study of a DRM list, priming was assessed in a lexical decision task when the nonwords were…

This study explored the arithmetic skills of 39 children with arithmetic learning difficulties (ALD), compared to two control groups, one consisting of normally achieving children matched to the ALD sample for chronological age (n =28), and another comprising younger normally achieving children matched to the ALD sample for arithmetic level (n…

The present research deals with the perception of matter in young children, inquiring if it is perceived as discrete or continuous. It investigates the existence of the intuitive rule "everything can be divided in two" in elementary school children (K-6) by using questions on the subdivision of mathematical and material objects. In addition, we…

American university offers a course in finite mathematics whose focus is difference equation with emphasis on real world applications. The conclusion states that students learned to look for growth and decay patterns in raw data, to recognize both arithmetic and geometric growth, and to model both scenarios with graphs and difference equations.

A two-year project was conducted, mainly with two goals, to make the students fluent in addition and subtraction and to have the students develop an understanding of computation that was strong enough to solve more than routine problems. The most common method for teaching children computation is teaching the standard procedures and then giving…

Mothers' and teachers' academic attributions of second graders (20 girls; 20 boys) were investigated. Children were recruited equally from high versus low SES schools. Mothers evaluated their own children and teachers evaluated 10 children in each of four classrooms -- compared to classmates -- in six domains: reading, writing, arithmetic, fine…

This note discusses a possible method for teaching an example of problem solving to intermediate grade students. Under the guidance of the instructor, students may see the links between the 'guess' method and the arithmetic operation 'strings'. This may help enhance their logical thinking ability as well as arithmetic operation skills. For…

This study provides an in-depth analysis of children's use of a taught mental calculation strategy. Three children (aged eight to nine years) who demonstrated contrasting spontaneous calculation approaches, were interviewed following the direct instruction of a calculation strategy. Their responses are explored in relation to constructivist and…