How can it be explained that, aside from inter-individual differences, pupils in certain classes are more responsive than others to the formal aspects of a problem that has been set? The author puts forward the hypothesis that teachers differ in their ability to operate relevant variations in the conception of problems. The differences in…

We examined the relationship between parents' behaviour and children's use of simple arithmetic strategies while playing a board game in contrast to solving arithmetic problems. In a microgenetic study spanning 3 weeks, 5-year-old children who were just beginning kindergarten played a modified game of "Chutes and Ladders" with one of…

This article presents an example of a versatile multi-solution problem that can be used right across the primary years. The basic problem is: "Noah saw 16 legs go past him into the Ark. How many creatures did he see?" Any even number can be used, although, 2 legs allows only one answer and with 16 legs there are already 14 different…

This article features Number Time, a site developed by the British Broadcasting Corporation (BBC) for young mathematics learners, located at www.bbc.co.uk/schools/numbertime. The site uses interactive animation to help children in pre-K through grade 2 understand and practice number basics. Users will find online games, videos that tell number…

Twenty primary-aged students with learning disabilities were tutored by nondisabled students in grades 3-6. Tutored students' performance on single-digit addition facts improved compared to a no-treatment control group. There were no significant differences between two tutoring procedures: a counting-on approach and a rote-memorization approach.…

A major advance in the field of reading over the past 15 years has been the development and validation of screening measures that can detect with reasonable accuracy those kindergartners and first graders likely to experience difficulty in learning to read. Increasingly, these students now receive additional instructional support during the…

One hundred and fifty-five students (average age of 127 months) were tested using the WRAT-3 reading and arithmetic subtests, the Self-Perception Profile for Children with Learning Disabilities (SPPLD) and the Children's Depression Inventory (CDI). One year later they were again tested with the same instruments. The authors hypothesised that…

With testing and accountability on everyone's mind, teachers are looking for creative ways to teach "all" subjects. Literacy is on the top of the list for testing, so it seems to get top priority. But how can teachers make sure that mathematics, especially a crucial area such as algebraic thinking, is a priority as well? Integrating subject matter…

The principal objective of this study was to gain insight into preservice elementary teachers understanding of the mean. Specifically, the research focused on identifying preservice teacher conceptions of the role and function of the mean as a statistical measure. Multiple data sources and data collection methods were utilized in an effort to…

This material provides an initial assessment procedure to help identify the level of basic skills competence of people entering education or training. It is based on Adult Literacy and Basic Skills Unit Standards that describe how and to what level of performance adults should be able to use communication and number skills. The material can be…

This preliminary study examined the meanings, models, and strategies of rural students in grades 3-8 for solving simple, whole number division problems. Findings suggested that students have multiple meanings for division words such as "share" and "fair share." Cultural factors and diversity in the classroom may be associated…

This book provides a comprehensive collection of 66 teaching strategies and ideas to help overcome problems with number, each linked to a specific kind of error described in the related manual. Most of these strategies are classroom-ready and easily implemented. Some are notes for the teacher to read and then plan activities accordingly, and many…

This paper presents a framework for understanding conditions of discovery learning in computer-based microworlds. It begins with a short discussion of problems related to a traditional type of microworld--i.e., learning tools for mathematics--using the Dienes Multibase Arithmetic blocks as an example. In this discussion, hypotheses are developed…

"Primary Mathematics" is a magazine for primary grades teachers. It contains activities which can be used, or adapted for use, with children over a wide ability range. It also contains articles on the teaching and learning of mathematics. The material in this book was selected from 18 issues of "Primary Mathematics" published…

Discussion material and exercises related to pre-algebra groups are provided in this five chapter manual. Chapter 1 (mappings) focuses on restricted domains, order of operations (parentheses and exponents), rules of assignment, and computer extensions. Chapter 2 considers finite number systems, including binary operations, clock arithmetic,…