Providing A Foundation For Teaching Mathematics In The Middle Grades

This book provides middle school teachers with a firm pedagogical foundation based on the manner in which students learn the mathematics being taught.

Mathematics Education in the Middle Grades: Teaching to Meet the Needs of Middle Grades Learners and to Maintain High Expectations In September 1998, the Math Science Education Board National held a Convocation on Middle Grades Mathematics that was co-sponsored by the National Council of Teachers of Mathematics, the National Middle School Association, and the American Educational Research Association. The Convocation was structured to present the teaching of middle school mathematics from two points of view: teaching mathematics with a focus on the subject matter content or teaching mathematics with a focus on the whole child and whole curriculum. This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.

During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.

The outcome of a two-year investigation, this book shows how teachers' understanding of the mathematics of number, quantity, and proportion influences how they teach and what their students learn of the concepts, skills, and reasoning associated with this mathematical domain of knowledge. It grew out of the recognition of the need to understand the complexities of helping teachers reconceptualize the mathematics they teach and the resulting effects in their classrooms. The book includes case studies of five teachers, from different types of school settings, illustrating changes in the teachers' teaching methods, expectations of students, and beliefs about the role of professional development.

This book presents a coherent collection of research studies on teacher knowledge and its relation to instruction and learning in middle-grades mathematics. The authors provide comprehensive literature reviews on specific components of mathematics knowledge for teaching that have been found to be important for effective instruction.

First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.

At the forefront of research in mathematics education, this new edition of Teaching Mathematics: Foundations to Middle Years continues to provide knowledge to future teachers of mathematics with the information and resources they need to help them prepare for the classroom. Following an evidence-based approach focused on identifying and reflecting on student reasoning, pre-service teachers are encouraged to develop a deep understanding of the big ideas in mathematics and the connections between them. Now in its third edition, this text has been revised extensively, with a new structure that points more directly to the learning progressions involved in developing a deep understanding of mathematics from the early to middle years of schooling. Interspersed throughout the text are activities and thought-provoking teaching scenarios for pre-service teachers to explore, whether individually, in groups or in the classroom. The authors' detailed knowledge of mathematics and mathematics teaching combines effectively with the book's teaching and learning features to help pre-service teachers develop the deep understanding of mathematics and the teaching and learning of mathematics needed to become confident, enthusiastic teachers of mathematics.