Two experiments investigated infants' sensitivity to amount of continuous quantity and to changes in amount of continuous quantity. Found that 6-month-olds looked significantly longer at a novel quantity than at the familiar quantity. Nine-month-olds looked significantly longer at an impossible event than at a possible event. Findings question…

Presents traditional and kinesthetic activities for teaching the following relative position concepts to young children: above, below, between, near, and far. Outlines reasons for more kinesthetic activities in early childhood settings. (KB)

Discusses the coverage of current issues in the mathematics education of young children, noting the numerous examples of activities and processes. Argues that while some insights into mathematics learning and teaching have become outdated, the book is useful for educators working with young children. (JPB)

Proposes that conceptual and procedural knowledge develop in an iterative fashion and improved problem representation is one mechanism underlying the relations between them. Two experiments were conducted with 5th and 6th grade students learning about decimal fractions. Results indicate conceptual and procedural knowledge do develop, iteratively,…

Describes how the use of an area model manipulative can help students learn fractions and related concepts. Uses several illustrated examples. (MM)

In the world of "edutainment" where multimedia is the ultimate content provider, educational electronic games are a new and fun way for young children to learn concepts and processes that have usually been delivered via books within the traditional classroom. In an effort to implement a design framework for developing educational games…

This article presents research on students' understanding of basic concepts in Graph Theory. Students' understanding is analyzed through the lens of the theoretical framework of reducing abstraction (Hazzan, 1999). As it turns out, in spite of the relative simplicity of the concepts that are introduced in the introductory part of a traditional…

This article describes using helium balloons to introduce students to integers and integer arithmetic. (Contains 9 figures.)

This article describes how three algebra problems involving systems of equations can be modeled and solved with manipulative materials or pictorial representation, then the solutions are compared with standard solutions using algebraic symbols. As students begin to use manipulatives and represent their pictures with number sentences, they are…

This article focuses on the dynamics of language in the context of mathematics. The interaction of everyday words and specialized mathematics vocabulary impacts students' development of mathematical understanding. (Contains 4 tables and 1 figure.)

This article describes using area and ratio concepts to examine why some animals, or people wearing different types of shoes, sink into the surface on which they are standing. Students compute "sinking values" to explain these differences. (Contains 2 figures.)

The purpose of this article is to describe a middle school mathematics teacher's model of his students' responses to algebraic tasks involving equivalent expressions and the distributive property. The teacher engaged in two model-eliciting activities designed for teachers by creating a library of his students' work and an accompanying "Ways…

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…

P. A. Arbisi and Y. S. Ben-Porath (1995) originally proposed that the Infrequency Psychopathology scale, F(p), be used as the final step in an algorithm to determine the validity of a Minnesota Multiphasic Personality Inventory-2 (MMPI-2) protocol. The current study used taxometric procedures to determine the latent structure of F(p) among…

This study was conducted to reveal how students at university level justify their solutions to tasks with various degrees of difficulty. The study is part of a larger study of students' concept formation of limits. The mathematical area is limits of functions. The study was carried out at a Swedish university at the first level of mathematics. The…