Mathematical Reasoning for Elementary Teachers

by ; ;
  • ISBN13:


  • ISBN10:


  • Edition: 7th
  • Format: Hardcover
  • Copyright: 1/9/2014
  • Publisher: Pearson

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

  • Free Shipping On Orders Over $59!
    Your order must be $59 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • Get Rewarded for Ordering Your Textbooks! Enroll Now
  • We Buy This Book Back!
    In-Store Credit: $40.32
    Check/Direct Deposit: $38.40
  • eCampus.com Device Compatibility Matrix

    Click the device icon to install or view instructions

    Apple iOS | iPad, iPhone, iPod
    Android Devices | Android Tables & Phones OS 2.2 or higher | *Kindle Fire
    Windows 10 / 8 / 7 / Vista / XP
    Mac OS X | **iMac / Macbook
    Enjoy offline reading with these devices
    Apple Devices
    Android Devices
    Windows Devices
    Mac Devices
    iPad, iPhone, iPod
    Our reader is compatible
    Android 2.2 +
    Our reader is compatible
    Kindle Fire
    Our reader is compatible
    10 / 8 / 7 / Vista / XP
    Our reader is compatible
    Our reader is compatible
List Price: $205.99 Save up to $190.99
  • Rent Book $15.00
    Add to Cart Free Shipping


Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
  • The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.


Long/DeTemple/Millman’s Mathematical Reasoning for Elementary Teachers presents the mathematical content needed for teaching within the context of the elementary classroom, giving future teachers the motivation they need while also showing them the bigger picture of when they will use and teach the concepts. The program endeavors to answer the frequently-asked question “Why are we learning this?” by going beyond skill explanations and showing the ways that these concepts are implemented in the future classroom and what types of questions children may ask. Now updated to include the Common Core State Standards for Mathematics, the text imparts mathematical reasoning skills, a deep conceptual understanding, and a positive attitude to those who aspire to be elementary or middle school teachers.


ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products.



Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase.


Used or rental books

If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code.


Access codes

Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase.


Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for

0321923243 / 9780321923240 Mathematical Reasoning for Elementary Teachers Plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:   

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321900995 / 9780321900999 Mathematical Reasoning for Elementary Teachers


MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.

Author Biography

Calvin Long received his B.S. in Mathematics from the University of Idaho. Following M.S. and Ph.D. degrees in Mathematics from the University of Oregon, he worked briefly as an analyst for the National Security Agency and then joined the faculty at Washington State University. His teaching ran the gamut from elementary algebra through graduate courses and included frequently teaching the content courses for prospective elementary school teachers.

            His other professional activities include serving on numerous committees of the National Council of Teachers of Mathematics and the Mathematical Association of America, and holding various leadership positions in those organizations. Professor Long has also been heavily engaged in directing and instructing in-service workshops and institutes for teachers at all levels, has given more than 100 presentations at national and regional meetings of NCTM and its affiliated groups, and has presented invited lectures on mathematics education abroad.

            Professor Long has co-authored two books and is the sole author of a text in number theory. In addition, he has authored over 90 articles on mathematics and mathematics education, and also served as a frequent reviewer for mathematics journals, including The Arithmetic Teacher and The Mathematics Teacher. In 1986, he received the Faculty Excellence Award in Teaching from Washington State University and, in 1991, he received a Certificate for Meritorious Service to the Mathematical Association of America.

            Aside from his professional activities, Cal enjoys listening to, singing, and directing classical music, reading, fly fishing, camping, and backpacking.



Duane DeTemple received his B.S. with majors in Applied Science and Mathematics from Portland State College. Following his Ph.D. in Mathematics from Stanford University, he was a faculty member at Washington State University, where he is now a Professor Emeritus of Mathematics. He has been extensively involved with teacher preparation and professional development at both the elementary and secondary levels. Professor DeTemple has been a frequent consultant to projects sponsored by the Washington State Office of the Superintendent of Public Instruction, the Higher Education Coordinating Board, and other boards and agencies.

            Dr. DeTemple has co-authored four other books and over 100 articles on mathematics or mathematics materials for the classroom. He is a member of the Washington State University President’s Teaching Academy, and in 2007 was the recipient of the WSU Sahlin Faculty Excellence Award for Instruction and the Distinguished Teaching Award of the Pacific Northwest Section of the Mathematical Association of America.

            In addition to teaching and research mathematics, Duane enjoys reading, listening to, and playing music, hiking, biking, canoeing, traveling, and playing tennis.



Richard Millman received a B.S. from the Massachusetts Institute of Technology and a Ph.D. from Cornell University in Mathematics. He is a professor of mathematics and was director of the Center for Education Integrating Science, Mathematics, and Computing (CEISMC) at the Georgia Institute of Technology, which supports STEM outreach in K-12. He was formerly the Outreach Professor of Mathematics at the University of Kentucky, where he was involved in both preservice and in-service teacher training for mathematics teachers.

            Dr. Millman has co-authored four books in mathematics, co-edited three others, and received ten peer-reviewed grants. He has published over 50 articles about mathematics or mathematics education and has taught a wide variety of mathematics and mathematics education courses throughout the undergraduate and graduate curriculum, including those for preservice teachers. He received, with a former student, an Excel Prize for Expository Writing for an article in The Mathematics Teacher and was a Member-at-Large of the Council of the American Mathematical Society. He was principal investigator and project director for ALGEBRA CUBED, a grant from the National Science Foundation to improve algebra education in rural Kentucky. He was the principal investigator of a Race to the Top grant from the Georgia Department of Education and another NSF grant, SLIDER, in which students use a curriculum based on engineering design in the context of building robots to learn eighth-grade physical science and math.

            Rich enjoys traveling, writing about mathematics, losing golf balls, listening to music, and going to plays and movies. He also loves and is enormously proud of his grandchildren, with whom he enjoys discussing the conceptual basis of mathematics, among other topics.


Table of Contents

1. Thinking Critically

1.1  An Introduction to Problem Solving

1.2  Polya’s Problem-Solving Principles and the Standards for Mathematical Practice of the Common Core State Standards for Mathematics

1.3  More Problem-Solving Strategies

1.4  Algebra as a Problem-Solving Strategy

1.5  Additional Problem-Solving Strategies

1.6  Reasoning Mathematically


2. Sets and Whole Numbers

2.1 Sets and Operations on Sets

2.2 Sets, Counting, and the Whole Numbers

2.3 Addition and Subtraction of Whole Numbers

2.4 Multiplication and Division of Whole Numbers


3. Numeration and Computation

3.1 Numeration Systems Past and Present

3.2 Algorithms for Addition and Subtraction of Whole Numbers

3.3 Algorithms for Multiplication and Division of Whole Numbers

3.4 Mental Arithmetic and Estimation

3.5 Nondecimal Positional Systems


4. Number Theory

4.1 Divisibility of Natural Numbers

4.2 Tests for Divisibility

4.3 Greatest Common Divisors and Least Common Multiples


5. Integers

5.1 Representation of Integers

5.2 Addition and Subtraction of Integers

5.3 Multiplication and Division of Integers


6. Fractions and Rational Numbers

6.1 The Basic Concepts of Fractions and Rational Numbers

6.2 Addition and Subtraction of Fractions

6.3 Multiplication and Division of Fractions

6.4 The Rational Number System


7. Decimals, Real Numbers, and Proportional Reasoning

7.1 Decimals and Real Numbers

7.2 Computations with Decimals

7.3 Proportional Reasoning

7.4 Percent


8. Algebraic Reasoning, Graphing, and Connections with Geometry

8.1 Variables, Algebraic Expressions, and Functions

8.2 Graphing Points, Lines, and Elementary Functions

8.3 Connections between Algebra and Geometry


9. Geometric Figures

9.1 Figures in the Plane

9.2 Curves and Polygons in the Plane

9.3 Figures in Space


10. Measurement: Length, Area, and Volume

10.1 The Measurement Process

10.2 Area and Perimeter

10.3 The Pythagorean Theorem

10.4 Volume

10.5 Surface Area


11. Transformations, Symmetries, and Tilings

11.1 Rigid Motions and Similarity Transformations

11.2 Patterns and Symmetries

11.3 Tilings and Escher-like Designs


12. Congruence, Constructions, and Similarity

12.1 Congruent Triangles

12.2 Constructing Geometric Figures

12.3 Similar Triangles


13. Statistics: The Interpretation of Data

13.1 Organizing and Representing Data

13.2 Measuring the Center and Variation of Data

13.3 Statistical Inference


14. Probability

14.1 The Basics of Probability

14.2 Applications of Counting Principles to Probability

14.3 Permutations and Combinations

14.4 Odds, Expected Values, Geometric Probability, and Simulations


Rewards Program

Write a Review