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Overview

To become a successful mathematics teacher, you must first become a successful mathematics student. Ron Larson and Robyn Silbey's first edition of MATHEMATICAL PRACTICES, MATHEMATICS FOR TEACHERS: ACTIVITIES, MODELS, AND REAL-LIFE EXAMPLES helps students aspire to be the best educators they can be. Peruse the book and you'll find Classroom Activities integrated into each section; modeling Examples that ask students how to model math concepts in the classroom; real-life Examples that model math concepts students will encounter in their everyday lives; and finally, to frame Ron and Robyn's approach, Common Core State Standards relevant to each lesson to provide future teachers with the knowledge of what their students should know at various grade levels.

Ron Larson, The Pennsylvania State University, The Behrend College

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

Robyn Silbey,

Robyn Silbey holds a Master of Science degree in mathematics education from McDaniel College and a Bachelor of Science degree in elementary education from the University of Maryland, College Park. For over 30 years, Silbey has authored and co-authored books, computer software, workbooks, and articles. Silbey presents workshops at national and international conferences including NCSM, NCTM, ASCD, and NSDC. She was invited to and presented her "Speaking, Writing, and Problem Solving" workshop at the International Congress of Math Educators (ICME) in Copenhagen, Denmark. Silbey served as a teacher consultant in the Teaching Training Corps as part of the Teacher-to-Teacher Initiative for the United States Department of Education. A chronicle of her experiences and her professional development strategies for raising teacher quality in mathematics can be found in the AIR/USDE report entitled, "What the United States Can Learn From Singapore's World-Class Mathematics System."
  • In Your Classroom Exercises are application/concept exercises similar to the ones found in classroom textbooks. These appear in every lesson exercise set and include connections on how to teach the concept in the classroom.
  • Writing Exercises appear in every lesson exercise set and present students with a situation in which they are asked to write an appropriate exercise for the classroom.
  • Grading Student Work Exercises ask students to review an elementary student's work on a math problem, identify what the student did wrong, and suggest topics that the student should review. These appear in every lesson exercise set.
  • My Dear Aunt Sally Exercises appear in appropriate lesson exercise sets and continually review the order of operations for different number sets.
  • Apple Icons identify exercises that have an application in the elementary/middle school classroom.
  • The Chapter Summary contains the vocabulary words found in the chapter, lists the chapter objectives, and identifies important concepts and formulas presented in the chapter.
  • Review Exercises provide review of the important math concepts of the chapter.
  • The Chapter Test contains questions from the chapter that are similar to the certification exam questions that students taking this course will see.
  • Featured in the margin, Standards are grouped by grade levels (K-2, 3-5, and 6-8) and appear at the beginning of each lesson. Domain and cluster statements indicate the area of the Common Core State Standards that pertain to the lesson.
  • Learning Objectives appear at the beginning of each lesson and identify the concepts taught in the lesson.
  • Real-Life Examples show the math concepts in a real-life situation and are indicated by the green example head graphic.
  • Modeling Examples show how to use manipulatives, fraction strips, number line models, area models, set models, and so on, to model math concepts in the classroom. These are indicated by the orange example head graphic.
  • Mathematical Practices appear throughout each lesson and highlight the connection between the Examples and the processes and proficiencies identified in the Common Core Math Practices.
  • Classroom Tips appear in the margin throughout each lesson, and they provide additional information for a teacher to use in the elementary/middle school classroom such as teaching suggestions, problem-solving methods, classroom motivators (activities), what students learn in doing the example, additional information about the example, or differing definitions (e.g., U.S. versus European).
  • Writing a Solution Key Exercises develops the elementary/middle school teacher's ability to write a rubric for grading students' work and appear in every lesson exercise set.
  • A Grading the Activity Exercise appears in every lesson exercise set and provides the elementary/middle school teacher practice in grading an assignment.
1. PROBLEM SOLVING.
Problem-Solving Strategies. More Problem-Solving Strategies. Reasoning and Logic. Chapter Summary, Review Exercises, and Chapter Test.
2. SETS AND NUMERAL SYSTEMS.
Sets. Whole Numbers. Number Lines and Numeral Systems. Chapter Summary, Review Exercises, and Chapter Test.
3. OPERATIONS WITH WHOLE NUMBERS.
Adding Whole Numbers. Subtracting Whole Numbers. Multiplying Whole Numbers. Dividing Whole Numbers. Chapter Summary, Review Exercises, and Chapter Test.
4. EXPONENTS AND ESTIMATION.
Mental Math and Estimation. Exponents. Order of Operations. Chapter Summary, Review Exercises, and Chapter Test.
5. NUMBER THEORY.
Divisibility Tests. Primes and Composites. Greatest Common Factor and Least Common Multiple. Chapter Summary, Review Exercises, and Chapter Test.
6. FRACTIONS.
Fractions. Adding and Subtracting Fractions. Multiplying and Dividing Fractions. Ratio and Proportion. Chapter Summary, Review Exercises, and Chapter Test.
7. DECIMALS AND PERCENTS.
Decimals. Adding and Subtracting Decimals. Multiplying and Dividing Decimals. Percents. Chapter Summary, Review Exercises, and Chapter Test.
8. INTEGERS.
Integers. Adding and Subtracting Integers. Multiplying and Dividing Integers. Chapter Summary, Review Exercises, and Chapter Test.
9. RATIONAL NUMBERS AND REAL NUMBERS.
Rational Numbers. Solving Equations Using Rational Numbers. Real Numbers. Chapter Summary, Review Exercises, and Chapter Test.
10. POLYGONS AND POLYHEDRA.
Triangles. Quadrilaterals. Polygons and Tessellations. Polyhedra. Chapter Summary, Review Exercises, and Chapter Test.
11. MEASUREMENT.
Standard and Nonstandard Units. Perimeter and Area of Polygons. Surface Area of a Polyhedron. Volume of a Polyhedron. Chapter Summary, Review Exercises, and Chapter Test.
12. CIRCLES AND CIRCULAR SOLIDS.
Circumference and Area of Circles. Surface Area of Circular Solids. Volume of Circular Solids. Chapter Summary, Review Exercises, and Chapter Test.
13. CONGRUENCE AND SIMILARITY.
Congruence of Triangles. Similarity. Construction Techniques. Chapter Summary, Review Exercises, and Chapter Test.
14. TRANSFORMATIONS.
Translations and Rotations. Reflections. Dilations and Scale Drawings. Chapter Summary, Review Exercises, and Chapter Test.
15. COORDINATE GEOMETRY.
The Coordinate Plane and Distance. Slope of a Line. Equations in Two Variables. Functions. Chapter Summary, Review Exercises, and Chapter Test.
16. PROBABILITY.
Introduction to Probability. Counting Techniques. Independent and Dependent Events. Expected Value. Chapter Summary, Review Exercises, and Chapter Test.
17. STATISTICS.
Graphs of Data. Measure of Central Tendency. Variation. Other Types of Graphs. Chapter Summary, Review Exercises, and Chapter Test. Answers. Index.
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"The Common Core Standards are very important for a math methods course. I teach a math course-emphasizing the standards is not necessary but we like to do it. It keeps the students motivated and answers the 'why are we learning this' question. I like the marginalia." -Blair Madore, SUNY Potsdam

"I really like this chapter. The author has managed to include so many different things: activities, standards, modeling, practice, etc. This book has a fresh approach. The use of color and examples would make it very appealing to the students." -Linda Fitzpatrick, Western Kentucky University

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Student Solutions Manual

ISBN: 9781285447148

FOR STUDENTS

Student Solutions Manual

ISBN: 9781285447148