Mathematics for Elementary School Teachers
ISBN: 9780840054630 | 0840054637
Edition: 5thFormat: Paperback
Publisher: Cengage Learning
Pub. Date: 1/1/2011
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Intended for the one- or two-semester course required of Education majors, MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS, 5E, offers future teachers a comprehensive mathematics course designed to foster concept development through examples, investigations, and explorations. Visual icons throughout the main text allow instructors to easily connect content to the hands-on activities in the corresponding Explorations Manual. Bassarear presents real-world problems, problems that require active learning in a method similar to how archaeologists explore an archaeological find: they carefully uncover the site, slowly revealing more and more of the structure. The author demonstrates that there are many paths to solving a problem, and that sometimes, problems have more than one solution. With this exposure, future teachers will be better able to assess student needs using diverse approaches.
| Foundations For Learning Mathematics | |
| Getting Started and Problem Solving | |
| Pigs and Chickens | |
| A Coin Problem | |
| Patterns and Communication | |
| Sequences and Patterns | |
| Patterns in Multiplying by 11 | |
| Pascal's Triangle | |
| Communicating Patterns in a Magic Square | |
| Reasoning and Proof | |
| Does Your ... MORE | |
| Inductive Thinking With Fractions | |
| Deductive Reasoning and Venn Diagrams | |
| Why is the Sum of Two Even Numbers an Even Number | |
| Darts, Proof, and Communication | |
| The Nine Dots Problem | |
| How Many Games in the Tournament? | |
| Representation and Connections | |
| How Long Will it Take the Frog to Get Out of the Well? | |
| How Many Pieces of Wire? | |
| Looking Back on Chapter 1 | |
| Summary | |
| Review Exercises | |
| Fundamental Concepts | |
| Sets | |
| Classifying Quadrilaterals | |
| Describing Sets | |
| How Many Subsets? | |
| Translating Among Representations | |
| Finding Information from Venn Diagrams | |
| Algebraic Thinking | |
| A Variable by Any Other Name is Still a Variable | |
| Baby-sitting | |
| Choosing Between Functions | |
| Matching Graphs to Situations | |
| Developing "Graph Sense." | |
| Looking for Generalizations | |
| How Many Dots? | |
| Numeration | |
| Relative Magnitude of Numbers | |
| What if Our System was Based on One Hand? | |
| How Well do you Understand Base Five? | |
| Base Sixteen | |
| Looking Back on Chapter 2 | |
| Summary | |
| Review Exercises | |
| The Four Fundamental Operations Of Arithmetic | |
| Understanding Addition | |
| Pattern in the Addition Table | |
| Mental Addition | |
| Children's Strategirs for Adding Large Numbers | |
| An Alternative Algorithm | |
| Addition in Base Five | |
| Children's Mistakes | |
| What Was the Total Attendance? | |
| Estimating by Making Compatible Numbers | |
| Number Sense with Addition | |
| Understanding Subtraction | |
| Mental Subtraction | |
| Children's Strategies for Subtraction with Large Numbers | |
| An Alternative Algorithm | |
| Children's Mistakes in Subtraction | |
| Rough and Best Estimations with Subtraction | |
| Number Sense with Subtraction | |
| Understanding Multiplication | |
| A Pattern in the Multiplication Table | |
| Mental Multiplication | |
| An Alternative Algorithm | |
| Why Does the Trick for Multiplying by 11 Work? | |
| Multiplication in Base Five | |
| Children's Mistakes in Multiplication | |
| Developing Estimation Strategies for Multiplication | |
| Using Various Strategies in a Real-life Multiplication Situation | |
| Number Sense with Multiplication | |
| Understanding Division | |
| Mental Division | |
| Understanding Division Algorithms | |
| The Scaffolding Algorithm | |
| Children's Mistakes in Division | |
| Estimates with Division | |
| Number Sense with Division | |
| Applying Models to a Real-life Situation | |
| Operation Sense | |
| Looking Back on Chapter 3 | |
| Summary | |
| Review Exercises | |
| Number Theory | |
| Divisibility and Related Concepts | |
| Interesting Dates | |
| Patterns in Odd and Even Numbers | |
| Understanding Divisibility Relationships | |
| Determining the Truth of an Inverse Statement | |
| Understanding Why the Divisibility Rule for 3 Works | |
| Divisibility by 4 and 8 | |
| Creating a Divisibility Rule for 12 | |
| Prime and Composite Numbers | |
| The Sieve of Eratosthenes | |
| Numbers with Personalities: Perfect and Other Numbers | |
| Greatest Common Factor and Least Common Multiple | |
| Cutting Squares Using Number Theory Concepts | |
| Methods for Finding the GCF | |
| Relationships Between the GCF and the LCM | |
| Going Deeper into the GCF and LCM | |
| Looking Back on Chapter 4 | |
| Summary | |
| Review Exercises | |
| Extending The Number System | |
| Integers | |
| Subtraction with Integers | |
| The Product of a Positive and a Negative Number | |
| Fractions and Rational Numbers | |
| Rational Number Contexts: What Does 3/4 Mean? | |
| Wholes and Units: Sharing Brownies | |
| Unitizing | |
| Fund-Raising and Thermometers | |
| Partitioning with Number Line Models | |
| Partitioning with Area Models | |
| Partitioning with Discrete Models | |
| Determining an Appropriate Representation | |
| Sharing Cooking | |
| Ordering Rational Numbers | |
| Estimating with Fractions | |
| Understanding Operations with Fractions | |
| Using Fraction Models to Understand Addition of Fractions | |
| Connecting Improper Fractions and Mixed Numbers | |
| Estimation and Mental Arithmetic: Sums and Differences of Fractions | |
| Estimating sums and Differences with Fractions | |
| Understanding Multiplication of Rational Numbers | |
| Division of Rational Numbers | |
| Estimating Products and Quotients | |
| When Did He Run Out of Gas? | |
| They've Lost Their Faculty! | |
| Beyond Integers and Fractions: Decimals, Exponents, and Real Numbers | |
| Base 10 Blocks and Decimals | |
| When Two Decimals Are Equal | |
| When is the Zero Necessary and When is it Optional? | |
| Connecting Decimals and Fractions | |
| Ordering Decimals | |
| Rounding with Decimals | |
| Decimals and Language | |
| Decimal Sense: Grocery Store Estimates | |
| Decimal Sense: How Much Will the Project Cost? | |
| How Long Will She Run? | |
| Exponents and Bacteria | |
| Scientific Notation: How Far is a Light-Year? | |
| Square Roots | |
| Looking Back on Chapter 5 | |
| Summary | |
| Review Exercises | |
| Proportional Reasoning | |
| Ratio and Proportion | |
| Unit Pricing--Is Bigger Always Cheaper? | |
| How Many Trees Will be Saved? | |
| How Much Money Will the Trip Cost? | |
| Reinterpreting Old Problems | |
| Using Estimation with Ratios | |
| Comparing Rates | |
| Is the School on Target? | |
| Finding Information from Maps | |
| From Raw Numbers to Rates | |
| How Much Does That Extra Light Cost? | |
| Percents | |
| Who's the Better Free-Throw Shooter? | |
| Understanding a Newspaper Article | |
| Buying a House | |
| Sale? | |
| What is a Fair Reason? | |
| How Much Money Did the Bookstore Pay for the Textbook? | |
| The Copying Machine | |
| 132% Increase | |
| Saving for College | |
| How Much Does that Credit Card Cost You? | |
| Looking Back on Chapter 6 | |
| Summary | |
| Review Exercises | |
| Uncertainty: Data And Chance | |
| The Process of Collecting and Analyzing Data | |
| What is Your Favorite Sport? | |
| How Many Siblings do you Have? | |
| Going Beyond a Computational Sense of Average | |
| How Many Peanuts Can You Hold in One Hand? | |
| How Long Does it Take Students to Finish the Final Exam? | |
| Videocassette Recorders | |
| Fatal Crashes | |
| Hitting the Books | |
| Going Beyond the Basics | |
| How Many More Peanuts Can Adults Hold Than Children? | |
| Scores on a TeSt | |
| Which Battery do You Buy? | |
| Understanding Standard Deviation | |
| Analyzing Standardized Test Scores | |
| How Long Should the Tire be Guaranteed? | |
| Comparing Students in Three Countries | |
| Grade Point Average | |
| What Does Amy Need to Bring Her GPA up to 2.5? | |
| Concepts Related to Chance | |
| Probability of Having 2 Boys and 2 Girls | |
| Probability of Having 3 Boys and 2 Girls | |
| Probability of Having at Least 1 Girl | |
| 50-50 Chance of Passing | |
| What is the Probability of Rolling a 7? | |
| What is the Probability of Rolling a 13 with 3 Dice? | |
| "The Lady of the Tiger | |
| Gumballs | |
| Is this a Fair Game? | |
| What about this Game? | |
| Insurance Rates | |
| Counting and Chance | |
| How Many Ways to Take the Picture? | |
| How Many Different Election Outcomes? | |
| How Many Outcomes this Time? | |
| Pick a Card, Any Card! | |
| So You Think You're Going to Win the Lottery? | |
| Looking Back on Chapter 7 | |
| Summary | |
| Review Exercises | |
| Geometry As Shape | |
| Basic Ideas and Building Blocks | |
| Playing Tetris | |
| Different Objects and Their Functions | |
| Point, Line, and Plane | |
| Measuring Angles | |
| Two-Dimensional Figures | |
| Recreating Shapes from Memory | |
| All the Attributes | |
| Classifying Figures | |
| Investigations 8.2d Why Triangles are so Important | |
| Classifying Triangles | |
| Triangles and Venn Diagrams | |
| Congruence with Triangles | |
| Quadrilaterals and Attributes | |
| Challenges | |
| Relationships Among Quadrilaterals | |
| Sum of Interior Angles of a Polygon | |
| What are my Coordinates? | |
| Understanding the Distance Formula | |
| The Opposite Sides of a Parallelogram are Congruent | |
| Midpoints of any Quadrilateral | |
| Three-Dimensional Figures | |
| What do you See? | |
| Connecting Polygons to Polyhedra | |
| Features of Three-Dimensional Objects | |
| Prisms and Pyramids | |
| Different Views of a Building | |
| Isometric Drawings | |
| Cross Sections | |
| Nets | |
| Looking Back on Chapter 8 | |
| Summary | |
| Review Exercises | |
| Geometry As Transforming Shapes | |
| Congruence Transformations | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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