Proposes that although the past 30 years have seen increasing efforts to make mathematics more relevant and useful, schools continue to fail. Argues that forced rote learning is the direct cause of this failure and that improved teaching methods must be developed. Urges that shifts in methodology be phased in gradually. (TW)

Discusses the use of Logo tools, spinners, dice, and coins for creating and understanding probability. Gives procedures for devising a spinner board and other necessary functions for performing the activity. Presents ideas for extending the experiment. (RT)

Promotes the use of computers in teaching not only to solve problems but also to help students be better at analyzing problems and developing procedures for their solution. Outlines several problems where a computer-assisted analysis can help give students a thorough understanding of the topic. (TW)

This volume of the 27th International Group for the Psychology of Mathematics Education Conference presents the following research reports: (1) Text Talk, Body Talk, Table Talk: A Design of Ratio and Proportion as Classroom Parallel Events (Dor Abrahamson); (2) Generalizing the Context and Generalising the Calculation (Janet Ainley); (3) Interview…

Collections of small objects have often been used in mathematics programs to develop classification and patterning skills. This book synthesizes that body of experience to create a new and original sequence of activities that build upon each other in order to draw out the greatest possible educational richness from the treasures. Treasure Boxes is…

Drawing upon research carried out in a range of early years settings in the United Kingdom, this book informs early childhood professionals about the types of early literacy and numeracy experiences appropriate for young children and how professionals from early care and education backgrounds can provide an approach to young children's learning…

Describes two studies of mathematical problem solving using an episode from "The Adventures of Jasper Woodbury," a set of curriculum materials that afford complex problem-solving opportunities. Discussion focuses on characteristics of problems that make solutions difficult, kinds of reasoning that dyadic interactions support, and…

Reports that those who were taught proportions exhibit more of a tendency to transfer than those who were not. Investigates the relationship of previous learning and problem-solving abilities to the learning of proportionality in facilitating transfer. Shows the magnitude of effects of task assignment on transfer. (YP)

Examines the role of mathematics in the Montessori curriculum. Suggests three areas important to the strengthening of prenumber concepts: logical quantification (one-to-one matching); logical classification (including open-ended sorting); and recognition, continuation, and creation of patterns. Suggests activities that establish foundations for…

Describes a study in which average eighth graders in an urban junior high school were placed into prealgebra classes normally reserved for high achievers. The average achievers in the prealgebra classes understood mathematical concepts better and enrolled in more advanced mathematics classes during high school, than did their cohorts. (GLR)

Proposes angle sense as a fundamental connector between mathematical concepts for middle grade students. Introduces the use of pattern blocks and a goniometer, a tool to measure angles, to help students develop angle sense. Discusses connections between angle measurement and the concepts of rational numbers, circles, area, number theory,…

Discusses the use of writing to enhance learning in mathematics from a conceptual development perspective. Shuell's phases of learning are described as a general model for conceptual development and subsequently matched with Britton's categories for transactional-informative writing. Sample mathematics assignments for each writing category are…

Introduces the constructivist theory of mathematical learning, and illustrates its application in a curriculum focusing on fundamental concepts. How knowledge is constructed, how concepts mature, and what it means to learn and to know mathematics are presented. Pedagogical implications of adopting a constructivist perspective on knowledge and…

Educators recognize that group work and physical involvement with learning materials can greatly enhance the understanding and retention of difficult concepts. As a result, math manipulatives--such as pattern blocks and number lines--have increasingly been making their way into classrooms and children's museums. Yet without the constant guidance…

Rather than focusing on teaching teachers, university researchers helped local teachers study what students thought about math and science ideas--with powerful results. As teachers understood what students were thinking, they modified their practices to promote deeper understanding. Their collaboration created bottom-up change.