Describes typical student strategies for counting cubes in cube buildings and explains why these problems are difficult for students. Suggests instructional tasks that can help students develop more powerful ways of thinking about such problems. Lists two action research ideas related to this issue. (ASK)

ProbLab is a probability-and-statistics unit developed at the Center for Connected Learning and Computer-Based Modeling, Northwestern University. Students analyze the combinatorial space of the 9-block, a 3-by-3 grid of squares, in which each square can be either green or blue. All 512 possible 9-blocks are constructed and assembled in a "bar…

A non-informative cue (C) elicits an inhibition of manual reaction time (MRT) to a visual target (T). We report an experiment to examine if the spatial distribution of this inhibitory effect follows Polar or Cartesian coordinate systems. C appeared at one out of 8 isoeccentric (7[degrees]) positions, the C-T angular distances (in polar…

The sport of Ultimate has grown from parking lot fun to international competition in its 35 year existence. As in many sports, the team that scores is subsequently on defense. Thus the probability that a team will score next is dependent on which team has scored most recently. Unlike in many other sports, teams switch ends after each score. Thus…

The activities and guidance in this book will help teachers to develop the confidence and meet the individual needs of young children with English as an additional language across different settings. There are also practical and varied language teaching strategies to promote learning for children working individually or in small groups. The first…

Technology has revolutionized the way mathematics and science are taught and few innovations in mathematics education have had as much impact as the graphing calculator. Fourteen classroom teachers were brought together during the summer of 1997 and during a week-long workshop, the teachers collaborated to develop a resource guide for integrating…

This document represents the next step by the National Council of Teachers of Mathematics (NCTM) in its efforts to ensure quality, indicate goals, and promote positive change in mathematics education for grades pre-K-12. Following an introduction in Chapter 1, Chapter 2 elaborates on six guiding principles for school mathematics instructional…

Maintains that Pica's resource book is an excellent guide for educators seeking new movement activities to perform with young children. Asserts that the organization of the book offers clear directions for the activities and proposes guidelines to transform the activities in interesting ways. Notes that the book sometimes does not provide specific…

This paper reports on a study of nursery children's responses to number focused activities. Responses were analysed in terms of cognitive, physical, emotional and social aspects in order to gain insights into what engaged children in number learning opportunities. "Cognitive-emotional hooks" for number activities were identified, involving…

From a very young age, shoes for boys tend to be wider than shoes for girls. Is this because boys have wider feet, or because it is assumed that girls are willing to sacrifice comfort for fashion, even in elementary school? To assess the former, a statistician measures kids' feet. (Contains 2 tables and 3 figures.)

Learning objects (LOs), generally understood as digital learning resources shared and accessed through the Internet and reused in multiple learning contexts, have aroused enthusiasm in the field of educational technology. Although LOs offer many possibilities to change educational practices, there is a lack of empirical evidence on the…

Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Let's Go to the Mall! Explorations in Combinatorics," which teachers can use to enhance…

This study examined the effects of level of instructional scaffolding on students' use of Geometer's Sketchpad and other software tools in a technology-integrated geometry curriculum. In order to revitalize education at the secondary level and in particular in the mathematics curriculum, educational reformers have advocated the incorporation of…

The National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards puts great stress on the mathematical processes of problem solving, communication, reasoning, and making connections. NCTM standards also emphasize new and emerging content areas for middle school students such as algebra, data analysis, and probability.…

A set of parent-child math activities designed to help busy, working parents do math with their children as part of everyday situations such as cleaning up and making dinner included basic steps, variations, and information on working with children were developed for families with elementary grades children aged approximately 5 to 11 and…