Mathematical Practices, Mathematics for Teachers

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received 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. 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."

• 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.

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.