This manual provides detailed, worked-out solutions to nearly every odd-numbered problem in the text.
Provides hands-on manipulative-based activities keyed to the text that involve future elementary school teachers discovering concepts, solving problems, and exploring mathematical ideas. These actitives can be adapted for use with elementary students at a later time.
Phares O'Daffer received his BS and MS from Illinois State University and studied at the University of Iowa and the University of Michigan before receiving his PhD in mathematics education from the University of Illinois. His teaching experience spans grade three to college, including early involvement with the University of Illinois Committee on School Mathematics and the Ball State Experimental Program, as well as teaching at Ball State University and Illinois State University.
Phares has co-authored six major K-8 Elementary School Mathematics textbook series, used extensively in elementary schools in the United States and around the world, and over 100 mathematics books ranging from kindergarten to college-level. He has also authored a number of articles in professional journals and served as Chairman of the Editorial Panel for the Arithmetic Teacher, a major journal of the National Council of Teachers of Mathematics.
His long-time interest in genealogy is showcased on his genealogy Web site, www.Odaffer.com. He also enjoys golf, tennis, and travel, and was recently involved as community representative on the editorial panel of his local newspaper and was on the board of directors of a local hospital. Married to Harriet Gove O'Daffer, he has three children and seven grandchildren.
Randy Charles received his BS from Indiana University of Pennsylvania. While working as a high school mathematics teacher, he went on to earn his MS from the University of Maryland. He later attended Indiana University where he worked on a federally-funded research and curriculum development project on problem solving. He served roughly 30,000 students in a West Virginia school district as a K-12 mathematics supervisor before moving on to teaching positions at Illinois State University and then San Jose State University, California.
Randy has written over 100 textbooks for students and teachers and has been heavily involved with NCTM, authoring several NCTM publications. He has spoken at hundreds of state, national, and international mathematics education conferences; was a national speaker for the Learning magazine for many years; and served as vice-president of the National Council of Supervisors of Mathematics.
Thomas Cooney received his BEd and MEd from the University of Toledo, majoring in mathematics and mathematics education respectively, and his Ph.D. in mathematics education from the University of Illinois. He began his teaching career in middle and secondary schools mathematics in Ohio before moving on to teach in the University of Georgia's Department of Mathematics Education.
His research on teaching and teacher education has been internationally recognized through his publications and his lectures in more than 20 countries. Tom was awarded the Gladys Thomason Award for outstanding service to the Georgia Council of Teachers of Mathematics and has received the Distinguished Alumni Award from the University of Illinois’ College of Education. He was the founding editor of the international Journal of Mathematics Teacher Education. His most recent work involves assessing various federally-funded projects on teacher education and writing materials on functions for teachers.
Tom is an avid golfer, photographer, and an experienced traveler.
John Dossey attended Illinois State University, receiving his BS and MS in mathematics there. He began his teaching career at the junior high school level, later moving to high school, and then accepting a position as a K-12 mathematics coordinator for the Normal, Illinois public schools. John completed his PhD in mathematics education at the University of Illinois at Urbana-Champaign. By this time, he was already teaching mathematics and mathematics education classes in the Department of Mathematics at Illinois State University. At Illinois State, he moved through the ranks, becoming Distinguished University Professor of Mathematics. He became involved in a variety of activities involving state, national (NAEP, ACT, and SAT), and international (SIMS, TIMSS, & PISA) student assessments. With this experience, John went on to author or co-author over 80 books ranging from middle school through collegiate mathematics, including methods texts for preservice teachers and professional development titles on assessment and curriculum.
John served as president of the National Council of Teachers of Mathematics, and helped lead the development of the initial NCTM Standards. He served as chair of the Conference Board for the Mathematical Sciences in Washington, D.C.; as Distinguished Visiting Professor of Mathematics at the U.S. Military Academy at West Point, NY; and as a member of many national and international committees and boards dealing with mathematics and mathematics education issues. Away from his professional life, John and his wife, Anne, enjoy living in the country, traveling, and getting together with friends.
Jane Faith Schielack first discovered her love of mathematics in elementary school and it continued to grow throughout her life. She received her BS in Education from Texas A&M University, with certification in Mathematics and English in grades 1-12. After teaching third grade in Victoria, Texas, Janie earned an MA in Mathematics Education from the University of Texas at Austin and became the elementary mathematics consultant at the Texas Education Agency. Later, she returned to Texas A&M University for her PhD in mathematics education while working as a lecturer there in the mathematics courses for elementary and secondary education majors.
Now a professor in mathematics and education at Texas A&M University, Janie has continued her involvement with the Texas Education Agency's development of the state-mandated curriculum in mathematics; made hundreds of presentations at mathematics conferences for teachers; written and presented a variety of professional development institutes for in-service teachers; and authored articles and textbooks focusing on helping children understand mathematics.
Janie spends her free time enjoying her family. She unabashedly admits to using her children as instructional guinea pigs and handy sources of data on learning.
<>Chapter 1 Mathematical Processes
Activity 1 Fascinating Fibonacci
Activity 2 Pictoral Patterns
Activity 3 Number Patterns
Activity 4 What's the Rule?
Activity 5 Polygons and Diagonals
Activity 6 Paper Powers
Activity 7 Magic Number Tricks
Activity 8 Missing Persons Report
Activity 9 Who Dunit?
Activity 10 What's the Number?
Activity 11 Eliminate the Impossible
Activity 12 Candies, Couples and a Quiz
Activity 13 When You Don't Know What to Do
Activity 14 Ten People in a Canoe
Activity 15 An Ancient Game
Activity 16 What's the Last Card?
Chapter Summary
Chapter 2 Sets and Whole Number Operations and Properties
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 A Visit to Fouria
Activity 8 Regrouping Numbers
Activity 9 Find the Missing Number
Chapter Summary
Chapter 3 Estimation and Computation
Activity 1 Three Strikes and You’re Out
Activity 2 Who’s Closest?
Activity 3 Target Number
Activity 4 It All Adds Up
Activity 5 What's the Difference?
Activity 6 Multi-digit Multiplication
Activity 7 Multi-digit Division
Activity 8 Division Array
Activity 9 Least and Greatest
Chapter Summary
Chapter 4 Number Theory
Activity 1 Great Divide Game
Activity 2 A Square Experiment
Activity 3 A Sieve of Another Sort
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 Understanding Integer Operations and Properties
Activity 1 Charged Particles
Activity 2 Coin Counters
Activity 3 Addition Patterns
Activity 4 Subtracting Integers
Activity 5 Subtraction Patterns
Activity 6 A Clown on a Tightrope
Activity 7 Multiplication and Division Patterns
Activity 8 Integer × and ÷ Contig
Chapter 6 Rational Number Operations and Properties
Activity 1 What Is a Fraction?
Activity 2 Equivalent Fractions
Activity 3 Square Fractions
Activity 4 Adding and Subtracting Fractions
Activity 5 Multiplying Fractions
Activity 6 Dividing Fractions
Activity 7 Race for the Flat
Activity 8 Empty the Board
Activity 9 Decimal Arrays
Activity 10 Decimal Multiplication
Activity 11 Dice and Decimals
Activity 12 Target Number Revisited
Activity 13 How Big Is It?
Activity 14 Fraction War
Activity 15 What Comes First?
Activity 16 What's My Name?
Activity 17 Who's First?
Activity 18 Deci-Order
Activity 19 Repeating Decimals
Chapter Summary
Chapter 7 Proportional Reasoning
Activity 1 Professors Short and Tall
Activity 2 People Proportions
Activity 3 A Call to the Border
Activity 4 Pattern Block Similarity
Activity 5 Similar Triangles
Activity 6 Side Splitter Theorem
Activity 7 What is Percent?
Activity 8 What Does It Mean?
Activity 9 Flex-it
Chapter Summary
Chapter 8 Analyzing Data
Activity 1 Graphing m&m's
Activity 2 What's in the Bag?
Activity 3 Gaps and Clusters
Activity 4 Grouped Data
Activity 5 Are Women Catching Up?
Activity 6 What's the Average?
Activity 7 Finger-Snapping Time
Activity 8 The Weather Report
Activity 9 To Change or Not to Change?
Activity 10 Populations and Samples
Chapter Summary
Chapter 9 Probability
Activity 1 What Are the Chances?
Activity 2 The Spinner Game
Activity 3 Numbers That Predict
Activity 4 Theoretical Probability
Activity 5 It's in the Bag
Activity 6 Paper-Scissors-Rock
Activity 7 Simulate It
Activity 8 The Mystery Cube
Activity 9 What's the Distribution?
Activity 10 Pascal's Probabilities
Activity 11 How Many Arrangements?
Chapter Summary
Chapter 10 Introducing Geometry
Activity 1 What's the Angle?
Activity 2 Inside or Outside?
Activity 3 Map Coloring
Activity 4 Paper Folding Construction
Activity 5 Triangle Properties- Angles
Activity 6 Angles on Pattern Blocks
Activity 7 Sum of Interior/Exterior Angles
Activity 8 Triangle Properties- Sides
Activity 9 To Be or Not to Be Congruent?
Activity 10 Pythagorean Puzzles
Activity 11 Right or Not?
Activity 12 Now You See It, Now You Don't
Activity 13 Name that Polygon
Chapter Summary
Chapter 11 Extending Geometry
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 Transforgeo
Activity 7 Rotations
Activity 8 Glide Reflections
Activity 9 Size Transformations
Activity 10 Cut It Out
Activity 11 Draw It
Activity 12 Tessellations
Activity 13 Stars and Angles
Activity 14 Spatial Visualization
Activity 15 A View from the Top
Chapter Summary
Chapter 12 Measurement
Activity 1 Units of Measure
Activity 2 Outdoor Geometry
Activity 3 Pick's Theorem
Activity 4 What's My Area?
Activity 5 Areas of Polygons
Activity 6 From Rectangles to Parallelograms
Activity 7 From Parallelograms to Triangles
Activity 8 From Parallelograms to Trapezoids
Activity 9 Volume of a Rectangular Solid
Activity 10 Pyramids and Cones
Activity 11 Surface Area
Activity 12 Compare Volume to Surface Area
Chapter Summary
Chapter 13 Exploring Ideas of Algebra and Coordinate Geometry
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 The King's Problem
Activity 6 Graphs and Stories
Activity 7 Exploring Linear Functions
Activity 8 Mysterious Midpoints
Activity 9 Graphing Rectangles
Activity 10 Coordinate Transformations
Chapter Summary
Appendices
Manipulatives
Activity Masters