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Mathematical Reasoning for Elementary Teachers (5TH 09  Old Edition)by Calvin T. Long
Synopses & ReviewsPlease note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.
Publisher Comments:The Fifth Edition of Mathematical Reasoning for Elementary Teachers, with new coauthor Richard Millman, focuses on mathematical knowledge needed for teaching–demonstrating why future teachers are learning math content as well as when they will use it in the classroom. One of the most important aspects of teaching is being able to explain why students’ methods and ideas are either right or wrong. Imparting this skill to future teachers the emphasis of this fantastic text. Synopsis:Provides detailed, workedout solutions to all exercises that are answered in the back of the student text.
About the AuthorCalvin 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 inservice workshops and institutes for teachers at all levels, has given over one hundred presentations at national and regional meetings of NCTM and its affiliated groups, and has presented invited lectures on mathematics education abroad.
Professor Long has coauthored two books and is the sole author of a text in number theory. In addition, he has authored over ninety articles on mathematics and mathematics education, and also served as a frequent reviewer for both 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, Dr. Long enjoys listening to, singing, and directing classical music, reading, fly fishing, camping, and back packing.

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 joined the faculty at Washington State University, where he is now Professor 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 coauthored three other books and over 80 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 mathematics teaching and research, Duane enjoys reading, listening to and playing music, hiking, biking, canoeing, traveling, and playing tennis.
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Richard Millman received a B.S. from the Massachusetts Institute of Technology and a Ph.D. from Cornell University in Mathematics. He is the Outreach Professor of Mathematics at the University of Kentucky, which supports preservice and inservice teacher training for PreK12 mathematics teachers. He is Principal Investigator and Project Director for ALGEBRA CUBED, a grant from the National Science Foundation to improve algebra education in rural Kentucky.
Dr. Millman has coauthored three books in mathematics, coedited two others, and received nine peer reviewed grants. He has published over 40 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.
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 ContentsChapter 1 Thinking Critically Activity 1 When You Don't Know What to Do Activity 2 Pictoral Patterns Activity 3 Number Patterns Activity 4 What's the Rule? Activity 5 Polygons and Diagonals Activity 6 Ten People in a Canoe Activity 7 Fascinating Fibonacci Activity 8 Magic Number Tricks Activity 9 An Ancient Game Activity 10 Attribute Elimination Activity 11 Missing Persons Report Activity 12 Who Dunit? Activity 13 What's the Number? Activity 14 Eliminate the Impossible Activity 15 Candies, Couples and a Quiz Activity 16 What's the Last Card? Chapter Summary
Chapter 2 Sets and Whole Numbers Activity 1 What's in the Loop? Activity 2 Loop de Loops Activity 3 Odd and Even Patterns Activity 4 Multiplication Arrays Activity 5 Finding the Missing Factor Activity 6 How Many Cookies? Activity 7 Paper Powers Activity 8 The King's Problem Chapter Summary
Chapter 3 Numeration and Computation Activity 1 Regrouping Numbers Activity 2 Find the Missing Numbers Activity 3 A Visit to Fouria Activity 4 It All Adds Up Activity 5 What's the Difference? Activity 6 Multidigit Multiplication Activity 7 Multidigit Division Activity 8 Division Array Activity 9 Target Number Activity 10 Least and Greatest Chapter Summary
Chapter 4 Number Theory Activity 1 A Square Experiment Activity 2 A Sieve of Another Sort Activity 3 Great Divide Game Activity 4 The Factor Game Activity 5 How Many Factors? Activity 6 Interesting Numbers Activity 7 Tiling with Squares Activity 8 Pool Factors Chapter Summary
Chapter 5 Integers Activity 1 Charged Particles Activity 2 Coin Counters Activity 3 Addition Patterns Activity 4 Subtracting Integers Activity 5 A Clown on a Tightrope Activity 6 Subtraction Patterns Activity 7 Multiplication and Division Patterns Activity 8 Integer × and ÷ Contig
Chapter 6 Fractions and Rational Numbers Activity 1 What Is a Fraction? Activity 2 Equivalent Fractions Activity 3 How Big Is It? Activity 4 Fraction War Activity 5 What Comes First? Activity 6 Square Fractions Activity 7 Adding and Subtracting Fractions Activity 8 Multiplying Fractions Activity 9 Dividing Fractions Chapter Summary
Chapter 7 Decimals, Real Numbers, and Proportional Reasoning Activity 1 What's My Name? Activity 2 Who's First? Activity 3 Repeating Decimals Activity 4 Race for the Flat Activity 5 Empty the Board Activity 6 Decimal Arrays Activity 7 Decimal Multiplication Activity 8 Target Number Revisited Activity 9 People Proportions Activity 10 A Call to the Border Activity 11 What is Percent? Activity 12 What Does It Mean? Activity 13 Flexit Chapter Summary
Chapter 8 Algebraic Reasoning and Representation Activity 1 Regular Polygons in a Row Activity 2 Patterns and Expressions Activity 3 The Function Machine Activity 4 What's My Function? Activity 5 Exploring Linear Functions Activity 6 Graphing Rectangles Activity 7 Graphs and Stories Chapter Summary
Chapter 9 Statistics: The Interpretation of Data Activity 1 Graphing m&m's Activity 2 Gaps and Clusters Activity 3 Grouped Data Activity 4 What's the Average? Activity 5 FingerSnapping Time Activity 6 The Weather Report Activity 7 To Change or Not to Change Activity 8 What's in the Bag? Activity 9 Populations and Samples Chapter Summary
Chapter 10 Probability Activity 1 What Are the Chances? Activity 2 The Spinner GameActivity 3 Numbers That Predict Activity 4 PaperScissorsRock Activity 5 Simulate It Activity 6 How Many Arrangements? Activity 7 Theoretical Probability Activity 8 It's in the Bag Activity 9 Pascal's Probabilities Activity 10 The Mystery Cube Chapter Summary
Chapter 11 Geometric Figures Activity 1 What's the Angle? Activity 2 Triangle Properties Angles Activity 3 Inside or Outside? Activity 4 Angles on Pattern Blocks Activity 5 Sum of Interior/Exterior Angles Activity 6 Name that Polygon Activity 7 Mysterious Midpoints Activity 8 Spatial Visualization Activity 9 A View from the Top Activity 10 Map Coloring Chapter Summary
Chapter 12 Measurement: Length, Area, and Volume Activity 1 Units of Measure Activity 2 What's My Area? Activity 3 Areas of Polygons Activity 4 From Rectangles to Parallelograms Activity 5 From Parallelograms to Triangles Activity 6 From Parallelograms to Trapezoids Activity 7 Pythagorean Puzzles Activity 8 Right or Not? Activity 9 Now You See It, Now You Don't Activity 10 Surface Area Activity 11 Volume of a Rectangular Solid Activity 12 Pyramids and Cones Chapter Summary
Chapter 13 Transformation, Symmetries, and Tilings Activity 1 Slides, Flips, and Turns Activity 2 How Did You Do It? Activity 3 Double Flips Activity 4 Reflections Activity 5 Translations Activity 6 Rotations Activity 7 Glide Reflections Activity 8 Transforgeo Activity 9 Dilations Activity 10 Cut It Out Activity 11 Draw It Activity 12 Tessellations Chapter Summary
Chapter 14 Congruence, Constructions, and Similarity Activity 1 Triangle Properties Sides Activity 2 To Be or Not to Be Congruent? Activity 3 Paper Folding Construction Activity 4 Pattern Block Similarity Activity 5 Similar Triangles Activity 6 Outdoor Geometry Activity 7 Side Splitter Theorem Chapter Summary
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