Reconceptualizing Mathematics, founded on research and studies of learning and mathematics teaching for many years, is designed for use in classrooms in which students take an active part in learning and experience doing math. The esteemed author team has written the only textbook of its kind to both incorporate aspects of student-centered learning into lessons and model the teaching that will be expected of their students. To this end, the authors provide worthwhile tasks, activities, and support for facilitating discussions. Quantitative reasoning and problem solving are recurring themes in Reconceptualizing Mathematics. The authors approach problem solving that teaches students to understand the quantities embedded in the situation and how they relate to each other.
• Discussions are intended primarily for whole class discussion. These provide more opportunities to converse about the mathematics being learned, to listen to the reasoning of others, and to voice disagreement when appropriate.
• Activities intended to be worked in small groups or pairs, providing some hands-on experiences with the content. In most instances, they can be completed and discussed in class. Discussion on activities is worthwhile because many times other groups will take a different approach.
• Definitions/Key Concepts are boxed and contain definitions and other important ideas. This information needs to be considered very thoughtfully to fully understand it. Examples are provided to help the student make sense of them.
• Examples provide needed clarification and opportunities to explore meaning and demonstrate procedures.
• Learning Exercises for homework or classroom discussion provide opportunity for practice. They are intended primarily to help students think through section content, note the relationships, and extend what they
have learned.
• “Issues for Learning” sections offer engaging, informative highlights of some of the research about children’s learning of topics associated with the chapter content.
• “Think About” questions appear throughout the text and ask students to pause and think about the content being presented.
• Take-Away Messages fall at the end of each section and summarize what the student should know.
• Elementary Textbook Pages show how the mathematics being presented is connected to the classroom.
• Notes columns appear alongside text in each chapter.
• Skills refreshers for basic arithmetic; protractor use; and instructions TI-73, and Excel are available online to help brushing up.
Judith Sowder