About This Chapter
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.
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.
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.
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.
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.
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.
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.
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.
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.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the Praxis Elementary Education - Curriculum, Instruction & Assessment (5017): Study Guide & Practice course
- Elementary ELA: Curriculum Concepts
- Elementary ELA: Reading Foundational Skills
- Elementary ELA: Reading Comprehension
- Elementary ELA: Text Analysis
- Elementary ELA: Resource Selection & Classroom Management
- Elementary ELA: Writing Skills
- Elementary ELA: Language Structure, Meaning & Figurative Interpretation
- Elementary ELA: Speaking & Listening Skills
- Elementary Math: Curriculum Concepts
- Elementary Math: Rounding & Estimation
- Elementary Math: Decimals, Fractions & Percents
- Elementary Math: Proportional Relationships & Number Theory
- Elementary Math: Algebraic Concepts
- Elementary Math: Geometry Concepts
- Elementary Math: Measurement Concepts
- Elementary Math: Statistics, Data & Probability
- Elementary Science: Curriculum Concepts
- Elementary Science: Inquiry & Processes
- Elementary Science: Life Science & Ecology
- Elementary Science: Earth & Space Science
- Elementary Science: Physical Science
- Elementary Science: Health
- Elementary Social Studies: Curriculum Concepts
- Elementary Social Studies: Information Processing Skills
- Elementary Social Studies: Geography
- Elementary Social Studies: History
- Elementary Social Studies: Economics
- Elementary Social Studies: US Government
- Elementary Social Studies: Anthropology & Sociology
- Elementary Music Instruction
- Elementary Art Instruction
- Elementary Physical Education Instruction
- Elementary Education Assessments