In contrast to the traditional top-down approach, a bottom-up approach is proposed by current reform in mathematics education. According to this alternative proposal, algorithmizing is the activity in which students should be involved. What can we do when we want to enact such an algorithmizing approach in a classroom and our students have already…

Previous findings have indicated that the reasoning abilities of gifted students are associated with gender differences. However, the factors affecting the emergence of gender differences, including age, remain to be studied. The main purpose of this study is to investigate whether the spatial, verbal and quantitative reasoning abilities of gifted…

This book contains a collection of fraction lessons that support curriculum and instruction. The goals of the lessons are to give all students the chance to learn how to: (1) name fractional parts of wholes and sets; (2) represent fractional parts using the standard notation including proper fractions, improper fractions, and mixed numbers, and…

Young children are interested in and capable of building a mathematics foundation at a very early age. Computer software allows children easy access to math. This software consists of seven activities for ages two to five years. These seven activities emphasize numbers, counting, addition, subtraction, patterns, problem solving, size, and…

This guide is a collection of ideas for mathematics activities which were assembled and tested by primary teachers. Activities are correlated to a mathematics curriculum for ages 7-9 years. The activities supplement the teaching of basic numeracy and include topics such as the language of mathematics, matching numbers, tracing the numbers, number…

This book is a collection of teaching strategies and activities for teachers of secondary mathematics. This volume is the product of a workshop that focused on student understanding of directed numbers. Suggested teaching methods include introducing the number concept, using a number line, number strips, monograms, bottle top addition and…

This study examined the effects of a schema-based direct instruction strategy on the addition and subtraction word problem solving performance of three third- and fourth-grade students with learning disabilities. An adapted multiple probe across subjects design was used. The intervention involved training students to distinguish…

The effects of using immediate feedback versus feedback delayed by 24 hours on academic self-concept and performance in arithmetic were studied, using 236 fourth graders as subjects. Delayed feedback seemed to benefit students with low perceptions of their academic ability; other students were unaffected by the type of feedback. (Authors/PP)

Diagnostic interviews were conducted with third graders to determine why they made mistakes on sixteen arithmetical tasks. A modified version of the Newman method of analyzing errors is discussed and applied to these interviews. (MP)

Assessed the arithmetical competencies of 105 American and 104 Chinese elementary school students at the beginning and end of the U.S. school year. Results suggest the Chinese advantage in early mathematical development is related to a combination of language- and school-related factors. (MDM)

Investigates the arithmetical and algebraic problem-solving strategies and skills of preservice primary and secondary school teachers in Flanders, Belgium. Compares aspects of preservice teachers' own problem-solving behavior with the way in which they evaluated students' arithmetical and algebraic solutions to problems. Discusses teachers' use of…

This article provides an overview of the nonverbal learning disabilities (NLD) syndrome and describes appropriate educational strategies. Primary characteristics of NLD and possible indicators are listed. Remedial, compensatory, instructional or therapeutic interventions are listed for psychomotor and perceptual motor deficits, for arithmetic…

Investigates the arithmetic and algebra word problem-solving skills and strategies of future primary and secondary school teachers. Describes the evolution of these skills and strategies from the beginning to the end of teacher education. Indicates that, in the education of preservice primary and secondary school teachers, there is need for an…

Listed are the K-4 and 5-8 Standards involving probability. Three activities are suggested for grades K-4 and four activities are suggested for grades 5-8. In each activity, materials, concepts to be learned, and teaching methods are discussed. (CW)

Three activities which require a calculator with integer division capabilities are presented. In each activity, procedures and questions for discussion are included. Game boards, samples, and answers are included where appropriate. (CW)