Hardcover ISBN:  9780821852606 
Product Code:  MBK/79 
List Price:  $88.00 
MAA Member Price:  $79.20 
AMS Member Price:  $70.40 
Electronic ISBN:  9781470412104 
Product Code:  MBK/79.E 
List Price:  $83.00 
MAA Member Price:  $74.70 
AMS Member Price:  $66.40 

Book Details2011; 551 ppMSC: Primary 97; 00;
This is a textbook for preservice elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7.
Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for preservice elementary teachers, it is also a reference book that school teachers can refer to for explanations of wellknown but hitherto unexplained facts. For example, the sometimespuzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Solutions to the activities are available electronically on the Supplemental Materials page.
Selected solutions are available electronically for instructors only. Please send email to textbooks@ams.org for more information.ReadershipPreservice elementary school teachers and current teachers interested in a logical and coherent account of school mathematics.

Table of Contents

Part 1. Whole numbers

Chapter 1. Place value

Chapter 2. The basic laws of operations

Chapter 3. The standard algorithms

Chapter 4. The addition algorithm

Chapter 5. The subtraction algorithm

Chapter 6. The multiplication algorithm

Chapter 7. The long division algorithm

Chapter 8. The number line and the four operations revisited

Chapter 9. What is a number?

Chapter 10. Some comments on estimation

Chapter 11. Numbers in base $b$

Part 2. Fractions

Chapter 12. Definitions of fraction and decimal

Chapter 13. Equivalent fractions and FFFP

Chapter 14. Addition of fractions and decimals

Chapter 15. Equivalent fractions: further applications

Chapter 16. Subtraction of fractions and decimals

Chapter 17. Multiplication of fractions and decimals

Chapter 18. Division of fractions

Chapter 19. Complex fractions

Chapter 20. Percent

Chapter 21. Fundamental Assumption of School Mathematics (FASM)

Chapter 22. Ratio and rate

Chapter 23. Some interesting word problems

Chapter 24. On the teaching of fractions in elementary school

Part 3. Rational numbers

Chapter 25. The (twosided) number line

Chapter 26. A different view of rational numbers

Chapter 27. Adding and subtracting rational numbers

Chapter 28. Adding and subtracting rational numbers redux

Chapter 29. Multiplying rational numbers

Chapter 30. Dividing rational numbers

Chapter 31. Ordering rational numbers

Part 4. Number theory

Chapter 32. Divisibility rules

Chapter 33. Primes and divisors

Chapter 34. The Fundamental Theorem of Arithmetic (FTA)

Chapter 35. The Euclidean algorithm

Chapter 36. Applications

Chapter 37. Pythagorean triples

Part 5. More on decimals

Chapter 38. Why finite decimals are important

Chapter 39. Review of finite decimals

Chapter 40. Scientific notation

Chapter 41. Decimals

Chapter 42. Decimal expansions of fractions


Additional Material

Reviews

[This book] delivers the mathematical knowledge that elementarygrades teachers need.
American Educator


RequestsReview Copy – for reviewers who would like to review an AMS bookDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Reviews
 Requests
This is a textbook for preservice elementary school teachers and for current teachers who are taking professional development courses. By emphasizing the precision of mathematics, the exposition achieves a logical and coherent account of school mathematics at the appropriate level for the readership. Wu provides a comprehensive treatment of all the standard topics about numbers in the school mathematics curriculum: whole numbers, fractions, and rational numbers. Assuming no previous knowledge of mathematics, the presentation develops the basic facts about numbers from the beginning and thoroughly covers the subject matter for grades K through 7.
Every single assertion is established in the context of elementary school mathematics in a manner that is completely consistent with the basic requirements of mathematics. While it is a textbook for preservice elementary teachers, it is also a reference book that school teachers can refer to for explanations of wellknown but hitherto unexplained facts. For example, the sometimespuzzling concepts of percent, ratio, and rate are each given a treatment that is down to earth and devoid of mysticism. The fact that a negative times a negative is a positive is explained in a leisurely and comprehensible fashion.
Solutions to the activities are available electronically on the Supplemental Materials page.
Selected solutions are available electronically for instructors only. Please send email to textbooks@ams.org for more information.
Preservice elementary school teachers and current teachers interested in a logical and coherent account of school mathematics.

Part 1. Whole numbers

Chapter 1. Place value

Chapter 2. The basic laws of operations

Chapter 3. The standard algorithms

Chapter 4. The addition algorithm

Chapter 5. The subtraction algorithm

Chapter 6. The multiplication algorithm

Chapter 7. The long division algorithm

Chapter 8. The number line and the four operations revisited

Chapter 9. What is a number?

Chapter 10. Some comments on estimation

Chapter 11. Numbers in base $b$

Part 2. Fractions

Chapter 12. Definitions of fraction and decimal

Chapter 13. Equivalent fractions and FFFP

Chapter 14. Addition of fractions and decimals

Chapter 15. Equivalent fractions: further applications

Chapter 16. Subtraction of fractions and decimals

Chapter 17. Multiplication of fractions and decimals

Chapter 18. Division of fractions

Chapter 19. Complex fractions

Chapter 20. Percent

Chapter 21. Fundamental Assumption of School Mathematics (FASM)

Chapter 22. Ratio and rate

Chapter 23. Some interesting word problems

Chapter 24. On the teaching of fractions in elementary school

Part 3. Rational numbers

Chapter 25. The (twosided) number line

Chapter 26. A different view of rational numbers

Chapter 27. Adding and subtracting rational numbers

Chapter 28. Adding and subtracting rational numbers redux

Chapter 29. Multiplying rational numbers

Chapter 30. Dividing rational numbers

Chapter 31. Ordering rational numbers

Part 4. Number theory

Chapter 32. Divisibility rules

Chapter 33. Primes and divisors

Chapter 34. The Fundamental Theorem of Arithmetic (FTA)

Chapter 35. The Euclidean algorithm

Chapter 36. Applications

Chapter 37. Pythagorean triples

Part 5. More on decimals

Chapter 38. Why finite decimals are important

Chapter 39. Review of finite decimals

Chapter 40. Scientific notation

Chapter 41. Decimals

Chapter 42. Decimal expansions of fractions

[This book] delivers the mathematical knowledge that elementarygrades teachers need.
American Educator