Share
Pin it!
Google Plus

(eBook) Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12 (PDF)

List Price$25.16
Member Price$20.13
Your Price $25.16
Available Product Available Yes
Quantity
Add to Cart

Product Details

Stock # 14593
ISBN # 978-0-87353-848-0
Published
Pages
Grades Grades 9-12,

See What's Inside

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


 

Product Description

By Kristen Bieda, Eric Knuth, Amy Ellis, Rose Mary Zbiek

What is the difference between “proof” in mathematics and “proof” in science or a court of law? In mathematics, how does proof differ from other types of arguments? What forms can proof take besides the traditional two-column style? What activities constitute the process of proving? What roles do examples play in proving? Can examples ever prove a conjecture? Why does a single counterexample refute a conjecture?

How much do you know…and how much do you need to know?

Helping your students develop a robust understanding of mathematical proof and proving requires that you understand this aspect of mathematics deeply. But what does that mean?

This book focuses on essential knowledge for teachers about proof and the process of proving. It is organized around five big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to proof and the activities involved in proving, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students…and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.

Focus on the ideas that you need to understand thoroughly to teach confidently.
All Categories : Publications : Education Materials

Related Products

ProductDescriptionList Price 
Developing Essential Understanding of Proof and Proving for Teaching Mathematics in Grades 9-12This book focuses on essential knowledge for teachers about proof and the process of proving. It is organized around five big ideas, supported by multiple smaller, interconnected ideas—essential understandings.$35.95
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings. $35.95
Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12Help your high school students develop a robust understanding of functions.$35.95

Customers Who Bought This Also Bought...

Product DescriptionList Price 
Implementing the Common Core State Standards through Mathematical Problem Solving: High School
Connect the process of problem solving with the content of the Common Core. The first of a series, this book will help mathematics educators illuminate a crucial link between problem solving and the Common Core State Standards.$24.95
Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 9-12
This book examines five big ideas and twenty-four related essential understandings for teaching statistics in grades 9–12.$32.95
Navigating through Discrete Mathematics in Grades 6-12 (with CD-ROM)
This book offers ways of presenting and developing three topics emphasized in Principles and Standards for School Mathematics: counting, vertex-edge graphs, and iterative and recursive processes. $50.95
Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12
Help your high school students develop a robust understanding of functions.$35.95
100 Favorite Calendar Problems Poster
NCTM has created a colorful poster of 100 of our readers' favorite problems from the Mathematics Teacher's"Calendar." The poster is designed for classroom use and has answers on the back.$2.00
Success from the Start: Your First Years Teaching Secondary Mathematics
The Essential Guide to Navigating Your First Years of Teaching Secondary Mathematics

Based on classroom observations and interviews with seasoned and beginning teachers, this book offers valuable suggestions to improve your teaching and your students' opportunities to learn.
$41.95
5 Practices for Orchestrating Productive Mathematics Discussions
NCTM'S Best Selling Book!

Learn the 5 practices for Orchestrating Productive Mathematics Discussions:

Anticipating what students will do--what strategies they will use--in solving a problem
Monitoring their work as they approach the problem in class
Selecting students whose strategies are worth discussing in class
Sequencing those students' presentations to maximize their potential to increase students' learning
Connecting the strategies and ideas in a way that helps students understand the mathematics learned

Includes a Professional Development Guide.

Copublished with Corwin Press
$29.95
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12
This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings. $35.95
Computer Algebra Systems in Secondary School Mathematics Education
This stimulating resource for learning more about using computer algebra systems (CAS) tools at the secondary school level incorporates examples, problems, and solutions that make use of CAS capabilities for teaching and learning mathematics.$15.00
Implementing the Common Core State Standards through Mathematical Problem Solving, Grades 6-8
Connect the Process of Problem Solving with the Content of the Common Core
Mathematics educators have long worked to help students to develop problem-solving skills. More recently, they have sought to provide students with the knowledge in the Common Core State Standards (CCSS). This volume is the third in a series from NCTM that equips classroom teachers with targeted, highly effective problems for achieving both goals at once. For every mathematics educator, the books in this series will illuminate a crucial link between problem solving and the Common Core State Standards.
$24.95
View Cart