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Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

Learning to Teach and Teaching to Learn Mathematics: Resources for Professional Development (Maa Notes, No. 57.)

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Learning to Teach and Teaching to Learn Mathematics: Resources for Professional Development (Maa Notes, No. 57.) Overviews

Every year thousands of new mathematics instructors and teaching assistants begin their teaching careers, and , scores of experienced faculty seek ways to explore the new teaching possibilities offered by technological and pedagogical innovations. There is a great need for tools to train college mathematics instructors in both basic teaching skills and innovative methodologies.

Learning to Teach and Teaching to Learn is a self-contained and extensive resource that addresses this need. It describes training and mentoring activities that have been successfully used in a variety of settings. with a wide range of new instructors, including graduate student teaching assistants, undergraduate tutors, graders and lab assistants, as well as postdoctoral, adjunct, part-time and new regular-rank faculty. It addresses a variety of teaching issues including cooperative learning, technology and assessment.

The book provides a broad range of material including:

• the structure and operation of an integrated professional development program.
• a complete description of a pre-semester orientation session for instructors who are either new to teaching or new to a department.
• a guide to visiting and observing classrooms, including samples observations made and the feedback given.
• descriptions of procedures for customizing and developing new training materials.
• an extensive list of references and suggested readings.

This material will be of interest to faculty and instructional staff responsible for training and mentoring adjuncts, new faculty, graduate students, and undergraduate assistants and to those interested in an integrated approach to improving and expanding their teaching skills. Although specifically written as training materials,, each chapter includes an introduction, goals, activities, and an annotated list of suggested readings.

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Essentials of Mathematics: Introduction to Theory, Proof, and the Professional Culture (Mathematical Association of America Textbooks)

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As a youngster, I loved baseball and read everything I could about how to play the game. Each book that I read started with the line, "You must first learn the fundamentals." This also applies to mathematics, where there is a small set of axioms, definitions and theorems that form the basis of most of what else can be learned. Many teachers have started applying this approach to their teaching of mathematics and are beginning to offer a class in the fundamentals of mathematics early in the undergraduate curriculum. This book is an introduction to the fundamentals, as well as the theory and philosophy of mathematics.
The coverage begins with a basic explanation of what mathematics is, what kind of people do mathematics and some of the ways in which it is split into categories. Chapter one is a survey of the fundamentals of logic and chapter two covers set theory. Each of the next four chapters contains a brief coverage of the sets of numbers in increasing order of containment. The natural numbers are described in chapter three, the rational numbers in chapter four, the real numbers in chapter five and the complex numbers in chapter six. The explanations are well-done and a large number of exercises that advance your understanding are included.
Written in a style well within the knowledge base of the beginning undergraduate math major, this is a book that can be used in courses in the fundamentals of mathematics. The highly motivated individual could also use it in a plan of self-study.

Published in the recreational mathematics e-mail newsletter, reprinted with permission.


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Essentials of Mathematics: Introduction to Theory, Proof, and the Professional Culture (Mathematical Association of America Textbooks) Overviews

Essentials of Mathematics is designed as both a textbook and outside reading for college students who want to prepare themselves for mathematics courses beyond the first-year level. The mathematical content includes logic, set theory and a theoretical development of the number systems, giving students practice at proving mathematical statements. There are no answers in the book, but a separate manual provides instructor support. The book makes an excellent reference for students beginning to take courses in which proofs play a major role. In addition to the course material, there are narratives on the nature of mathematics and the mathematics profession. These sections can be read without help or guidance.

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The Teaching and Learning of Mathematics at University Level - An ICMI Study (NEW ICMI STUDY SERIES Volume 7)

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The Teaching and Learning of Mathematics at University Level - An ICMI Study (NEW ICMI STUDY SERIES Volume 7) Overviews

This book arose from the ICMI Study into the teaching and learning of mathematics at university level that began with a conference in Singapore in 1998. The book looks at tertiary mathematics and its teaching from a number of aspects including practice, research, mathematics and other disciplines, technology, assessment, and teacher education. Over 50 authors, all international experts in their field, combined to produce a text that contains the latest in thinking and the best in practice. It therefore provides in one book a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers.

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