Discusses the Tiles and Sides problem from the December 2000 issue. Indicates that this problem is accessible to students at different grade levels. Presents samples of student responses and their teachers' analysis. (KHR)

Examines adults from China and Canada solving single-digit multiplication problems. Reports that Chinese adults were faster and made fewer errors than Canadian adults, and Chinese adults made more errors that reflect verbal-production processes that may occur after retrieval whereas Canadian adults made more errors that reflect retrieval…

Preschool children are often good at counting things but seem slow to learn that there is more to counting than simply finding out how many are in a single set. Counting is useful when comparing sets and when creating new sets to match existing ones. This is part of the numerical understanding that educators wish to foster in schools. In two…

This article describes the experiences of a group of primary-grade students and their teacher as they explore negative numbers over the course of two years. It is just one example of how a problem-solving environment contributes to discussion and understanding in mathematics. (Contains 3 figures.)

With the introduction of the latest national curriculum, using and applying mathematics retained its attainment target within the level descriptions, but the programme of study was integrated into the programmes of study for curriculum content (number, shape, space, and measures). This brought it in line with the national numeracy strategy, which…

Beyond Crossroads is a call to action. Within this call, AMATYC has updated its 1995 Crossroads standards, developed a new set of guiding principles, and created a blueprint for implementing these revised principles and standards. The principles guiding Beyond Crossroads are a significant overhaul of their predecessors and are bold statements that…

This book describes an approach to mathematics instruction that attempts to honor children's thinking and sense-making ability. The book aims to weave strands of mathematics (addition, subtraction, place value, and problem solving) together and offer a wide variety of contexts for genuine mathematical exploration. The book is intended as a…

Discusses a problem that appeared in the September, 1999 issue of this journal and presents solutions from students in grades 2-6. The question involved using colored cubes rearranged to make different stacked towers. (KHR)

Describes an activity in which students demonstrate through a variety of creative mathematical analogies just how big Bill Gates's fortune is. (YDS)

This article explores how differences in problem representations change both the performance and underlying cognitive processes of beginning algebra students engaged in quantitative reasoning. Contrary to beliefs held by practitioners and researchers in mathematics education, students were more successful solving simple algebra story problems than…

This paper reports on data from seventy-eight 9-11 year old children attending four schools that had participated in a national numeracy initiative in New Zealand. Children's responses to a multi-digit addition problem, including alternative solution strategies, and their ideas about the importance of getting the "right answer" were…

This book is designed to help adults gain the range of math skills they need to succeed in life and work and on standardized tests, including the GED. It is expected to help students overcome math anxiety, discover math as interesting and purposeful, and develop good number sense. Lessons are organized around four strands: (1) skill lessons that…

Describes similarities and differences between modeling cycles and stages of development. Includes examples of relevant constructs underlying children's developing ways of thinking about fractions, ratios, rates, proportions, or other mathematical ideas. Concludes that modeling cycles appear to be local or situated versions of the general stages…

Describes the Workplace Literacy Project which teaches mathematics to remedial and special education secondary students through a combination of conceptual approaches and problem-solving exercises anchored in the students' world. The approach also incorporates the use of calculators and computer software such as spreadsheets. (DB)

"Wicked Waste" is a powerful teaching resource and four tools in one: (1) It complements literacy and numeracy teaching for KS2/attainment levels D & E using 20 minute interactive teaching modules; (2) It manages time and, with its intelligent programming, complexity of questions; (3) It provides diagnostic information for the…