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…

A semiotic perspective on mathematical activity provides a way of conceptualizing the teaching and learning of mathematics that transcends and encompasses both psychological perspectives focussing exclusively on mental structures and functions, and performance-focussed perspectives concerned only with student's behaviours. Instead it considers the…

Nondeterminism is an essential concept in mathematics and one of the important concepts in computer science. It is also among the most abstract ones. Thus, many students find it difficult to cope with. In this article, we describe some didactic considerations, which guided the development of a "Computational Models" course for high school…

Background and aims: In order to develop arithmetic expertise, children must understand arithmetic principles, such as the inverse relationship between addition and subtraction, in addition to learning calculation skills. We report two experiments that investigate children's understanding of the principle of inversion and the relationship between…

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.…

The Data File Documentation reports on the procedures and methodologies employed during the Education Longitudinal Study of 2002 base year, first, and second follow-ups, with special emphasis on the second follow-up (2006). The document is designed to provide guidance for users of the restricted-use data as released in Electronic Codebook (ECB)…

The evaluation literature on Lesbian, Gay, Bisexual, Transgender, and Queer (LGBTQ) youth programs is largely absent of quantitative studies, likely in part due to the challenge of using experimental or quasi-experimental evaluation designs. This paper proposes the creative use of a national data set to overcome the problem of estimating a…

Education researchers, practitioners, and policymakers alike are committed to identifying interventions that teach students more effectively. Increased emphasis on evaluation and accountability has increased desire for sound evaluations of these interventions; and at the same time, school-level data have become increasingly available. This article…

The role of the instructor in computer-based training (CBT) has not been previously studied. However, the role of instructor in traditional instruction (TI) has been studied and has been shown to influence student achievement. A key finding from TI research is that instructor-student interaction is positively related to achievement. This…

The purpose of this activity book is to provide fun while learning and reinforcing mathematics in the following categories: (1) mathematical concepts and applications; (2) mathematical computations; (3) geometry; and (4) mathematics for daily living. A gameboard and playing cards are provided in this book. A die, pawns, and a container for the…

Two task were developed to assess second and fourth grade girls' ability to generate quantitative inferences and estimate answers to math word problems. The generation of quantitative inferences is thought to constitute problem representation, and the ability to estimate answers to word problems is facilitated by the presence of an accurate…

The Teacher Load Index, a simplified method of comparing the teaching load of individuals in the California junior and community colleges, is presented in this report. First, the load measurement problem is addressed, revealing the inadequacies of the Credit Unit and the Weekly Student Contact Hour systems for measuring teacher load. Then, a…

This publication, a result of the Basic Skills Assessment Program (BSAP), is designed for use as a resource or reference guide and not as a basic skills textbook. It focuses on that part of the mathematics curriculum which is reflected in the South Carolina State Basic Skills Objectives. Information is provided not only for the grades tested by…

Issues in school mathematics programs are considered in this book. In the first section, mathematics education at the start of the decade is examined through two articles: a discussion of the status of mathematics programs and of prospects for the 80s, and an interpretation of the results of the second national mathematics assessment of the…