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Mathematics for Elementary Teachers with Activities
Sybilla Beckmann, University of Georgia

ISBN-10: 0321357736
ISBN-13: 9780321357731

Publisher: Pearson
Copyright: 2005
Format: Cloth
Published: 02/16/2005

The goal of this text is to provide prospective elementary teachers with a deep understanding of the mathematics they will be called on to teach. Through a careful, mathematically precise development of concepts, this text asks that students go beyond simply knowing how to carry out mathematical procedures. Students must also be able to explain why mathematics works the way it does. Being able to explain why is a vital skill for teachers. Through activities, examples and applications, the author expects students to write and solve problems, make sense of the mathematics, and write clear, logical explanations of the mathematical concepts. The accompanying Activities Manual promotes engagement, exploration, and discussion of the material, rather than passive absorption. Both students and instructors should find this material fun, interesting, and rewarding.

This product accompanies:
Beckmann, Mathematics for Elementary Teachers plus Activities Manual, 2/E

Class Activities are integral to the text and are designed to be done in class or in small groups outside of class. They promote critical thinking, discussion and give students depth of understanding and perspective on the concepts.

Practice Problems provide students with the opportunity to work through problems and, if they need help, see the solutions. This allows students immediate feedback as they work through material and better prepares them for their homework. Solutions appear in the text immediately after the Practice Problems.

Problems are opportunities for students to work through the mathematics without being given an answer at the end of the text. These are typically assigned as homework. Solutions appear in the Instructor's Solutions Manual and can be provided online for students at the discretion of the instructor.

Decimals and Fractions are covered earlier than in most texts. This early coverage allows students to become used to explaining why the standard procedures we use with decimals and fractions are valid so that they aren't overwhelmed when they get to multiplying/dividing fractions. The importance of paying attention to the “whole” when working with fractions is repeatedly emphasized.

Students will use Visualization not only in traditional mathematical contexts, but also in order to understand basic astronomical phenomena such as phases of the Moon, the reason for seasons, and the rotation of the Earth around its axis every day.

There is ample coverage of Volume and Surface Area. The text and Activities Manual promote deeper understanding of these concepts with the aid of hands-on exploration.

Unique content in the Functions and Algebra chapter (Ch. 13) introduces U.S. teachers to the impressive diagrammatic method presented in the grade 3 - 6 math texts used in Singapore (whose children score top in the world in math). This method helps students make sense of and solve a variety of algebra and other word problems without using variables. The text helps students see the relationship between the Singaporean diagrammatic method and standard algebraic problem solving methods

1. Problem Solving.

Solving Problems.

Explaining Solutions.

2. Numbers and the Decimal System.

Introduction to the Number Systems.

The Decimal System and Place Value.

Representing Decimal Numbers.

Comparing Sizes of Decimal Numbers.

Rounding Decimal Numbers.

3. Fractions.

The Meaning of Fractions.

Equivalent Fractions.

Fractions as Numbers.

Comparing Sizes of Fractions.

Percent.

4. Addition and Subtraction.

Interpretations of Addition and Subtraction.

The Algorithms for Adding and Subtracting.

Adding and Subtracting Fractions.

When Do We Add Percentages?

Percent Increase and Percent Decrease.

The Commutative and Associative Properties and Mental Math.

5. Multiplication.

The Meaning of Multiplication.

Why Multiplying Decimal Numbers by 10 Is Easy.

Multiplication and Areas of Rectangles.

The Commutative Property of Multiplication.

Multiplication and Volumes of Boxes.

The Associative Property of Multiplication.

The Distributive Property.

Mental Math, Properties of Arithmetic, and Algebra.

Why the Procedure for Multiplying Works.

6. Multiplication of Fractions, Decimals, and Negative Numbers.

Multiplying Fractions.

Powers.

Multiplying Decimals.

Multiplying Negative Numbers.

Scientific Notation.

7. Division.

The Meaning of Division.

Understanding Long Division.

Fractions and Division.

Dividing Fractions.

Dividing Decimals.

Ratio and Proportion.

8. Geometry.

Visualization.

Angles.

Circles and Spheres.

Triangles.

Quadrilaterals and Other Polygons.

Constructions With Straightedge and Compass.

Polyhedra and Other Solid Shapes.

9. Geometry of Motion and Change.

Reflections, Translations, and Rotations.

Symmetry.

Congruence.

Similarity.

10. Measurement.

The Concept of Measurement.

Error and Accuracy in Measurements.

Length, Area, Volume, and Dimension.

Calculating Perimeter, Area, and Volume.

Comparing Sizes of Objects.

Converting From one Unit of Measurement to Another.

11. More About Area and Volume.

The Moving and Combining Principles About Area.

The Pythagorean Theorem.

Approximating Areas of Irregular Shapes.

Cavalieri's Principle About Shearing and Area.

Areas of Triangles.

Areas of Parallelograms.

Areas of Circles and the Number Pi.

Relating the Perimeter and Area of a Shape.

Principles for Determining Volumes.

Volumes of Solid Shapes.

Areas, Volumes, and Scaling.

12. Number Theory.

Factors and Multiples.

Greatest Common Factor and Least Common Multiple.

Prime Numbers.

Even and Odd.

Divisibility Tests.

Rational and Irrational Numbers.

13. Functions and Algebra.

Mathematical Expressions, Formulas, and Equations.

Solving Equations With Pictures and With Algebra.

Sequences.

Series.

Functions.

Linear Functions.

14. Statistics.

Designing Investigations and Gathering Data.

Displaying Data and Interpreting Data Displays.

The Center of Data: Mean, Median and Mode.

The Spread of Data: Percentiles.

15. Probability.

Basic Principles and Calculation Methods of Probability.

Calculating Probabilities by considering the Ideal Outcome.

Math for Future Elementary Teachers (Mathematics)

Mathematics for Elementary Teachers plus Activities Manual, 2/E
Beckmann
©2008 | Pearson | Cloth Package; 912 pp | Instock
ISBN-10: 0321447174 | ISBN-13: 9780321447173
Net price: $97.00 (What's this?)Brief Description

Elementary school classrooms are increasingly relying on a discovery method for the teaching of mathematics. Mathematics for Elementary Teachers thoroughly prepares preservice teachers to use this approach as it has been proven to increase their depth of understanding of mathematics. In this text, topics are organized by operation, rather than number type, and time is spent explaining why the math works, rather than just on the mechanics of how it works. Fully integrated activities are found in the book and in an accompanying Activities Manual. As a result, students engage, explore, discuss, and ultimately reach true understanding of the approach and of mathematics.
Mathematics for Elementary Teachers with Activity Manual, 3/E
Beckmann
©2011 | Pearson | Cloth Package; 880 pp | Estimated Availability : 02/22/2010
ISBN-10: 0321654277 | ISBN-13: 9780321654274
Suggested retail price: $129.33 Net price: $97.00 (What's this?)Brief Description

Mathematics for Elementary Teachers, Third Edition offers an inquiry-based approach to this course, which helps students reach a deeper understanding of mathematics. Sybilla Beckmann, known for her contributions in math education, writes a text that encourages future teachers to find answers through exploration and group work. Fully integrated activities are found in her accompanying Activities Manual, which comes with every new copy of the text. As a result, students engage, explore, discuss, and ultimately reach a true understanding of mathematics.

The new Active Teachers, Active Learners DVD helps instructors enrich their classroom by expanding their knowledge of teaching using an inquiry-based approach. The DVD shows Beckmann and her students discovering various concepts, along with voiceover commentary from Beckmann. This DVD is the ideal resource for instructors who are teaching with an inquiry-based approach for the first time, and for instructors who seek new ideas to integrate into their course.

The table of contents is organized by operation rather than number type to foster a more unified understanding of the math concepts. Throughout the text, students learn why the math works, rather than just the mechanics of how it works. In this new edition the contents have been updated and rearranged for a more natural organization.
Mathematics for Elementary Teachers with Activity Manual, 3/E
Beckmann
©2011 | Pearson | Cloth Package; 880 pp | Estimated Availability : 02/22/2010
ISBN-10: 0321654277 | ISBN-13: 9780321654274
Suggested retail price: $129.33 Net price: $97.00 (What's this?)Brief Description

Mathematics for Elementary Teachers, Third Edition offers an inquiry-based approach to this course, which helps students reach a deeper understanding of mathematics. Sybilla Beckmann, known for her contributions in math education, writes a text that encourages future teachers to find answers through exploration and group work. Fully integrated activities are found in her accompanying Activities Manual, which comes with every new copy of the text. As a result, students engage, explore, discuss, and ultimately reach a true understanding of mathematics.

The new Active Teachers, Active Learners DVD helps instructors enrich their classroom by expanding their knowledge of teaching using an inquiry-based approach. The DVD shows Beckmann and her students discovering various concepts, along with voiceover commentary from Beckmann. This DVD is the ideal resource for instructors who are teaching with an inquiry-based approach for the first time, and for instructors who seek new ideas to integrate into their course.

The table of contents is organized by operation rather than number type to foster a more unified understanding of the math concepts. Throughout the text, students learn why the math works, rather than just the mechanics of how it works. In this new edition the contents have been updated and rearranged for a more natural organization.

Mathematics for Elementary Teachers with Activities |
Author Bios

Sybilla Beckmann has an undergraduate degree in mathematics from Brown University and a PhD in mathematics from the University of Pennsylvania. She taught and did research in mathematics at Yale University for 2 years. Since then, she has been at the University of Georgia.

When she had children, she became very interested in helping prospective teachers understand and appreciate the mathematics they will teach. This interest led to her book. She enjoys playing the piano, weaving, going to concerts of classical music, and traveling with her family.

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This package contains:
• Beckmann-Kazez, Activities Manual (2005)
• Beckmann, Mathematics for Elementary Teachers (2005)

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.