Ch 10: Elementary Math: Number Concepts & Operations

About This Chapter

This comprehensive study guide chapter is for current and prospective teachers who need to review elementary math concepts for upcoming teacher certification exams. The chapter's bite-sized lessons and quizzes cover instructional methods and strategies for number concepts and operations.

Elementary Math: Number Concepts & Operations - Chapter Summary

Check out this self-paced elementary math instruction chapter to refresh your knowledge of number concepts and operations. Our simple lessons go over effective teaching strategies and tips that can help students learn counting, mental math, math operations, math modeling and number property concepts. By the end of the chapter, you should be equipped to:

  • Teach kids how to count, compare and order numbers
  • Apply instructional techniques for teaching math operations and mental math
  • Solve math problems through the use of algorithms and mathematical models
  • Use models to represent operations and numbers
  • Differentiate between commutative, distributive and associative number properties

Following each lesson is a short quiz that helps you check your understanding of essential math instruction concepts. Be sure to take the chapter exam and reach out to our expert instructors if you need any clarification on a lesson topic. The chapter is available to access online at any time that fits your schedule, and you can revisit the materials whenever you need to brush up on these particular teaching approaches.

8 Lessons in Chapter 10: Elementary Math: Number Concepts & Operations
Test your knowledge with a 30-question chapter practice test
Teaching Kids How to Count

1. Teaching Kids How to Count

In this lesson, discover how children learn to count. The stages of stable order, one-to-one correspondence, cardinality, and order irrelevance will be discussed, and instructional strategies for how to teach each will also be covered.

Teaching Strategies for Comparing & Ordering Numbers

2. Teaching Strategies for Comparing & Ordering Numbers

Learning about ordering and comparing numbers is a basis for understanding all other mathematics. In this lesson, we will explore memory devices and other strategies to teach students about the relationships between values.

Methods for Teaching Math Operations

3. Methods for Teaching Math Operations

Learning how to do the four basic operations is a big part of elementary math education. This lesson gives you a few methods for teaching the operations to your students.

Using Algorithms to Solve Math Problems

4. Using Algorithms to Solve Math Problems

Algorithms are precise sets of instructions that tell us exactly how to do something. In this lesson, we will explore how to use algorithms to solve math problems.

Using Mathematical Models to Solve Problems

5. Using Mathematical Models to Solve Problems

Mathematical modeling simply refers to the creation of mathematical formulas to represent a real world problem in mathematical terms. This lesson reviews the creation and pitfalls of mathematical models.

Using Models to Represent Numbers & Operations

6. Using Models to Represent Numbers & Operations

In math, models or pictures can be used to represent numbers and operations like addition and subtraction. In this lesson, we'll look at three types of models used to solve problems in math.

Number Properties: Commutative, Associative & Distributive

7. Number Properties: Commutative, Associative & Distributive

We often find ourselves using real number properties when working on math problems. These properties come in a variety of forms, but in this lesson we'll focus on learning about the commutative, associative, and distributive properties.

How to Teach Mental Math

8. How to Teach Mental Math

Mental math is an important skill for anyone to have. There are lots of techniques that we can use to efficiently and successfully teach mental math. Here are some strategies and ideas.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the Praxis Elementary Education - Curriculum, Instruction & Assessment (5017): Study Guide & Practice course

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