Grades 9 - 12 Foreword by Susan O'Connell Mathematics, Pedagogy, and Secondary Teacher Education sheds new light on what it means to integrate pedagogy in a teacher-education context. Whether new to the field or seasoned professionals, all secondary teachers are encouraged to view instructional issues in relation to their own experiences in learning mathematics. 
Ideal for preservice and inservice programs, the books in this collection provide a foundation for developing a deep understanding of topics fundamental to learning school mathematics; help teachers develop expertise in the processes emphasized in the NCTM Standards: and offer activities that capture the rich interplay of inductive and deductive thinking in mathematics. 
The collection includes: 
<ul>
<li>Thinking About Being a Mathematics Teacher </li>
<li>Developing a Topic Across the Curriculum: Functions </li>
<li>Designing Teaching: The Pythagorean Theorem </li>
<li>Analyzing Subject Matter: Fundamental Ideas of Combinatorics </li>
<li>Modeling with Functions </li>
<li>Posing Mathematically </li> </ul>

Mathematics, Pedagogy, and Secondary Teacher Education

Business & Money

Dossey, John A.

Brown, Stephen I.

Schrage, Georg

Wittmann, Erich

Cooney, Thomas J.

Economics

Heinemann

Mathematics, Pedagogy, and Secondary Teacher Education sheds new light on what it means to integrate pedagogy in a teacher-education context. Whether new to the field or seasoned professionals, all secondary teachers are encouraged to view instructional issues in relation to their own experiences in learning mathematics. Ideal for preservice and inservice programs, the books in this collection provide a foundation for developing a deep understanding of topics fundamental to learning school mathematics; help teachers develop expertise in the processes emphasized in the NCTMStandards: and offer activities that capture the rich interplay of inductive and deductive thinking in mathematics.The collection includes: Thinking About Being a Mathematics Teacher Developing a Topic Across the Curriculum: Functions Designing Teaching: The Pythagorean Theorem Analyzing Subject Matter: Fundamental Ideas of Combinatorics Modeling with Functions Posing Mathematically

MATHEMATICS, PEDAGOGY, AND SECONDARY TEACHER EDUCATION: REWEAVING THE FRAYED BRAID

ANDERSON, Carl

The Art of Problem Posing, Second Edition

Updated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field.Special features include:* an exploration ofthe logical relationship between problem posing and problem solving* a special chapter devoted to teaching problem posing as a separate course* sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed* a special section on writing in mathematics

The Art of Problem Posing

Walter, Marion I.

Parenting & Relationships

Routledge

Updated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field. Special features include: * an exploration ofthe logical relationship between problem posing and problem solving * a special chapter devoted to teaching problem posing as a separate course * sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed * a special section on writing in mathematics

The new edition of this classic book describes and provides a myriad of examples of the relationships between problem posing and problem solving, and explores the educational potential of integrating these two activities in classrooms at all levels. The Art of Problem Posing, Third Edition encourages readers to shift their thinking about problem posing (such as where problems come from, what to do with them, and the like) from the "other" to themselves and offers a broader conception of what can be done with problems. Special features include: an exploration of the logical relationship between problem posing and problem solving; sketches, drawings, and diagrams that illustrate the schemes proposed; and a special section on writing in mathematics.In the updated third edition, the authors specifically:*address the role of problem posing in the NCTM Standards;*elaborate on the concept of student as author and critic;*include discussion of computer applications to illustrate the potential of  technology to enhance problem posing in the classroom;*expand the section on diversity/multiculturalism; and*broaden discussion of writing as a classroom enterprise.This book offers present and future teachers at the middle school, secondary school, and higher education levels ideas to enrich their teaching and suggestions for how to incorporate problem posing into a standard mathematics curriculum.

Health, Fitness & Dieting

Psychology & Counseling

Psychology Press

This book offers a critique of two major themes of the modern reform movement in mathematics education: problem solving and the applications of mathematics to the «real world». In examining the educational fallacy inherent in the impulse to move unflinchingly from «problem» to «problem solving», Stephen I. Brown demonstrates the potential of mathematical reflection to reveal aspects of self and society that have been suppressed in curriculum. He then argues that in seeking connections between mathematics and the «real world», we have tended to reduce their relationship to one of modeling. Furthermore, in constructing what is «real» in an overly concrete way, we have lost sight of the wonder of what is «real» in both mathematics and the world. Brown explores alternative text formats, including that of the novel and the Talmud, as vehicles to rejuvenate the educational potential of problems and of real world connections.

Reconstructing School Mathematics: Problems with Problems and the Real World

Politics & Social Sciences

Philosophy

Peter Lang Inc., International Academic Publishers

105p paperback, nice fresh copy from a Cambridge college library, hardly used, light creasing to cover

Some Prime Comparisons

Science & Math

Mathematics

Natl Council of Teachers of

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