Compares sixth-grade American students to three samples of (Chinese, Japanese, and Taiwanese) sixth-grade Asian students to determine if the well-documented mathematical achievement of students from these Asian nations might be due in part to a greater understanding of mathematical representations. Indicates that all Asian samples scored…

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

Describes a lesson that connects geography and mathematics in which students develop an understanding of large numbers. Students listen to a story about the number one million, cut and paste faces on tagboard to estimate one million, and use blocks to represent the population of each state in the United States. (CMK)

The reliability and, to a lesser extent, the validity of the newly created Number Sense Test was evaluated with a group of 40 3- to 5-year-old children attending Head Start. Six number sense skills (e.g., counting, number identification, addition-subtraction) and children's feelings about school were assessed both before and after instruction…

Teachers who have Spanish-speaking students in their science class, will likely be interested in learning about the recent releases of Spanish trade books for children. From appealing paperback series about colors, opposites, shapes, and numbers to smooth Spanish renditions of Isaac Asimov's engaging overview of the universe, these books are just…

This article focuses on the kinds of conceptual changes that occur when students have to deal with negative numbers in elementary algebraic operations. Interviews were carried out with twelve 8th-grade level students who were selected on the basis of their results in a test where they were required to reduce polynomials. The questions applied to…

Early childhood is a time of discovery when learning occurs at every turn. The task that early childhood teachers face is how to teach a class full of students who fall at each end of the learning spectrum (and every place in between). This article describes an easy and effective way to address widely diverse needs among young learners--to empower…

Charlotte, the author's 11-year-old daughter, was born with Down syndrome, and is currently attending the local middle school. In terms of her disability Charlotte is developing very well and has a reading age of 9+, however her maths skills age is approximately 4 years. It is not necessarily the case that if a child has good language and literacy…

In this article, the author presents a new maths aid for teaching place value, addition and subtraction up to 1 million. The need for a resource to help his wife understand place value motivated the author to create "Counting Cards". Here, he shares his invention, in the hope that it will help others. (Contains 4 figures.)

This article describes the use of the book "Inchworm and a Half" to stimulate children's investigations in measurement and number. During a two-day lesson children used physical models and visual representations to develop measurement skills and explore equivalent relationships.

This article describes a lesson study project that explored the impact of using storybooks to teach mathematics in three kindergarten classrooms. The study involved three kindergarten teachers and three university educators, who collaborated to plan, design, implement revise, and reflect on a unit of mathematics that focused on the concept of…

The second unit of instructional and evaluation activities for a science/math curriculum in Spanish developed for first graders make up this teacher's guide. Kits five-eight, each covering a period of two to three weeks, present science and math instruction around the family. The guide lists focus, objective, and materials in English and Spanish…

In this study, we investigated patients with focal neurodegenerative diseases to examine a formal linguistic distinction between classes of generalized quantifiers, like "some X" and "less than half of X." Our model of quantifier comprehension proposes that number knowledge is required to understand both first-order and higher-order quantifiers.…

In this study, we examine whether preventive enrichment of pre-math skills has an influence on number knowledge in preschool children from low income families. Our data analyses use two methods to examine the influence of two independent programs implemented during junior kindergarten and kindergarten. The first implies the traditional approach…

This paper reports the results of an exploratory study of the perceptions of and approaches to mathematical proof of undergraduates enrolled in lecture-based and problem-based "transition to proof" courses. While the students in the lecture-based course demonstrated conceptions of proof that reflect those reported in the research literature as…