Share
Pin it!
Google Plus

(eBook) Insights Into Mathematical Thought (PDF Downloads)

List Price$18.86
Member Price$15.09
Your Price $18.86
Available Product Available Yes
Quantity
Add to Cart

Product Details

Stock # 14783
ISBN # 978-0-87353-861-9
Published
Pages
Grades Higher Education,

See What's Inside

Table of Contents (PDF)
Preface (PDF)
Read an Excerpt (PDF)


 

Product Description

The distributive principle is one of the most important and widely used concepts in mathematics. Though interlaced with other mathematical concepts, it provides a spotlight on major educational and mathematical themes. It is a significant tool in seeking ways of relating algebraic and geometric thinking and of expanding their very different potential to formulate generalizations. Stephen Brown, through his research, writings, and practice in the classroom, has discovered the deep and powerful educational and mathematical implications of applying the distributive principle as a way to encourage students to relate mathematics to the “real world,” to seek connections beyond science and mathematics, and to include literature and language as ways of expanding their mathematical thinking.

This extraordinary collection of essays, each of which uses the distributive principle to shed light on a different aspect of mathematical thought, encourages readers to find new ways of understanding the significance and limitations of a subject that is usually presented as purely logical and not often connected with how the mind works in other domains. Using the distributive property as a vantage point, the essays cast a wide net. For example, in one essay the connections between algebraic and geometric variations of the property are developed in the context of presenting enticing problems. Though prime numbers are part of the curriculum (in such diverse topics as the infinitude of primes, the unique factorization of composites into a product of primes, and the ability to reduce all fractions to “lowest terms”), in focusing on the distributive property, the author expands on the concept of prime numbers in ways that point out the deep significance of concepts that are often prematurely taken for granted.

A truly innovative and unique approach to an important concept, this book provides readers with a new perspective on mathematical thought. The book will inspire both teachers of mathematics of all levels and readers interested in mathematics to incorporate aspects of thinking and feeling that are rarely included in mathematical activities.
All Categories : Publications : Education Materials

Related Products

ProductDescriptionList Price 
Insights Into Mathematical Thought: Excursions with Distributivity A truly innovative and unique approach to an important concept, this book provides readers with a new perspective on mathematical thought. The book will inspire both teachers of mathematics of all levels and readers interested in mathematics to incorporate aspects of thinking and feeling that are rarely included in mathematical activities. $26.95

Customers Who Bought This Also Bought...

Product DescriptionList Price 
Defining Mathematics Education – Presidential Yearbook Selections 1926-2012
The 75th Anniversary Yearbook: Celebrating a Valued Tradition of Defining Mathematics Education $59.95
"Beginning Algebra: Teaching Key Concepts" (focus 11/13 MT)
November 2013 Focus Issue: Beginning Algebra: Teaching Key Concepts How can all students learn the key concepts of beginning algebra? Through the study of algebra, students learn to think abstractly, apply various representations, communicate mathematically, and develop the habits of mind that are needed to use mathematics and become lifelong learners. Whether taught within a first-year algebra or an integrated course, algebraic concepts form a core of mathematical knowledge that students need for future success. The Editorial Panel of Mathematics Teacher solicits manuscripts that examine ways to teach the key mathematical concepts students must learn in a beginning algebra course. $13.95
Putting Essential Understanding of Multiplication and Division into Practice in Grades 3-5
Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend?

Explore rich, researched-based strategies and tasks that show how students are reasoning about and making sense of mulitplication and division.
$36.95
High-Yield Routines for Grades K-8
Boost student participation and proficiency with high-yield, effective mathematical routines.$24.95
"The Value of Why" (focus 10/11 TCM )
Mathematical reasoning begins with questions rather than answers. The 2011 Focus Issue highlights the innovators who foster children’s natural curiosity as a key mechanism for teaching and learning math.$12.95
"Teaching Geometry" (focus 11/11 MT)
The study of geometry—whether taught as a stand-alone or as a series of topics integrated within other courses—develops core ideas, concepts, and habits of mind that students will need as users of mathematics and as lifelong learners.$12.95
Teaching Mathematics through Problem Solving: Grades 6–12
This volume and its companion for prekindergarten through grade 6 furnish the coherence and direction that teachers need to use problem solving to teach mathematics. $42.95
Empowering the Beginning Teacher of Mathematics: Middle School
The ideas and advice from experienced educators can help beginning middle school teachers create an environment in which students view mathematics as useful and exciting and become prepared for more in-depth study of mathematics in high school and beyond.$32.95
Empowering the Beginning Teacher of Mathematics: High School
Designed to help beginning high school teachers reach their full potential, thereby improving the mathematics learning of their students. $32.95
"Connecting Geometry and Algebra in the Middle Grades" (focus 2/11 MTMS)
"Connecting Geometry and Algebra in the Middle Grades" (focus 2/11 MTMS)$12.95
View Cart