In this book, author Catherine Jones Kuhns introduces student- and teacher-friendly math activities designed to get students thinking like mathematicians and loving mathematics, while addressing content standards through grade 2. She also shows how to make math fun for students, get children actively engaged in learning, create a student-centered…

An analysis of the 1990 National Assessment of Educational Progress (NAEP) found that only 46 percent of all high school seniors demonstrated success with a grasp of decimals, percentages, fractions and simple algebra. This article investigates error patterns that emerge as students attempt to answer questions involving the ability to apply…

The present study examined performance on an arithmetic task of increasing difficulty and a frustrating puzzle task for children with ADHD and comparison children. Emotional competence also was investigated in the two groups. Sixty-four children, 21 previously diagnosed with ADHD, participated. Performance on the arithmetic task was measured in…

The development of conceptual understanding in arithmetic is a gradual process and children may make use of a concept in some situations before others. Previous research has demonstrated that when children are given arithmetic problems with an inverse relationship they can infer that the initial and final quantities are the same. However, we do…

In this article, the author describes a week of "timely" open-ended lessons with a high ability Y9 group of boys. He gives lessons that would give the students some sense of purpose, as they try to generate a mathematical entity to represent something they used regularly. He states that understanding metric time is something his students…

Traditionally, students learn arithmetic throughout their primary schooling, and this is seen as the ideal preparation for the learning of algebra in the junior secondary school. The four operations are taught and rehearsed in the early years and from this, it is assumed, "children will induce the fundamental structure of arithmetic" (Warren &…

This booklet is a designed to introduce adult basic education/literacy instructors to a spiral sequencing approach that may be used to teach whole number skills. The booklet begins with a brief discussion of integration of numeracy into literacy instruction. Discussed next are the benefits of using a spiral sequence for numeracy facilitation and…

This numeracy package, which is intended for use by facilitators in group or tutoring situations, consists of materials designed to help adult literacy students understand number systems, appreciate the different roles that numbers play in daily life, and gain the confidence needed to work with numbers in everyday situations. Part 1, which…

This book provides ideas, practical suggestions, and blackline masters to present mathematics concepts using cooperative learning activities in the primary grades. The first sections explain how to make cooperative learning part of the curriculum and include an overview, instructions, and activities for introducing cooperative learning to students…

This paper posits that, as educators' attention turns to elementary mathematics as preparation for algebra, it is important to begin by examining the kind of elementary mathematics content teaching that is aligned with reform. The paper calls for a close examination of students' development of operation sense. The role of children's engagement…

This book is a compilation of recent research on the development of multiplicative concepts. The sections and chapters are: (1) Theoretical Approaches: "Children's Multiplying Schemes" (L. Steffe), "Multiplicative Conceptual Field: What and Why?" (G. Vergnaud), "Extending the Meaning of Multiplication and Division" (B. Greer); (2) The Role of the…

To test the theory of mental calibration for mental addition it was hypothesized that the mean reaction time for problems in homogeneous sets will be faster than for problems in heterogeneous sets and that the reaction time was inversely related to ability and development (grade level) and independent of gender. Three sets of 40 addition problems…

In this paper four programs are described in which children learn multidigit number concepts and operations with understanding: (1) the Supporting Ten-Structured Thinking projects, (2) the Conceptually Based Instruction project, (3) Cognitively Guided Instruction projects, and (4) the Problem Centered Mathematics Project. The diversity in these…

Twenty-seven supplemental lessons for primary students involving mathematical thought problems on addition, subtraction, and comparison (e.g., greater than and less than) are presented. Each of the lessons contains 10 or more problems which students either hear or read and then respond to either orally or on written answer sheets. The materials in…

Focused on the effects of difficulty level and choice of difficulty level on the engagement of students working CAI (computer-assisted instruction) math problems, possible patterns of student choices, and the relationship of locus of control measures to choice of difficulty levels. (Author/BJG)