This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

This article describes the results of a year-long exploration of first graders' tool use. It also showcases instructional activities designed to link tool use with quantitative understanding. (Contains 3 figures.)

Describes activity boxes which can be used in early childhood classrooms to further curriculum and development goals. Activity boxes are containers filled with related objects categorized by color, shape, or material which encourage children to explore, sort, and manipulate real things. Discusses goals and lists contents for 24 activity boxes.…

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…

The importance of teaching students to communicate mathematically is discussed. Examined are ways to develop this skill. Activities and open-ended questions are included. The use of physical materials, cooperative groups, listening skills, and writing are stressed. (KR)

Presents activities to create designs with different arrangements of square tiles, which gives students an opportunity to make conjectures about perimeter and to make convincing arguments to justify those conjectures. Includes worksheets. (MKR)

The negative impact of low attendance and the lack of effective, alternative classroom learning strategies are factors that mitigate against student interest and success in mathematics, particularly with respect to inner-city at-risk students. The goal of this practicum was to improve the problem-solving skills of a group of 50 alternative high…

Small-group cooperative learning provides an alternative to both traditional whole-class expository instruction and individual instruction systems. The procedures described in this volume are realistic, practical strategies for using small groups in mathematics teaching and learning with methods applicable to all age levels, curriculum levels, and…