About This Chapter
Foundations of Teaching Math - Chapter Summary
This chapter's lessons look at the basic concepts and strategies for teaching math to young children. You'll review the different types of numbers and see examples showing the order of operations in math. Our instructors can help you understand how children develop math skills and show you ways teach numeration and number sense to children. After finishing this chapter, you should be able to:
- Relate how to perform arithmetic with whole numbers
- Share the definitions and properties of cardinal, ordinal and real numbers
- Explain number systems and the base-ten system
- Define fractions and fraction types
- Discuss the basics of decimals including rounding, ordering and zeros
- Describe the definition of a percent
You can watch these lessons as your schedule permits on a computer or mobile device. Our instructors use practice problems and examples to help you study, and the quizzes at the end of our lessons offer a quick way to assess your knowledge.
1. The Development of Numeracy Skills in Children
Numeracy is mathematical literacy. Its development and internalization in students is essential to students' success in school and beyond, but there are factors that can affect students' development of this critical skillset.
2. Teaching Numeration & Number Sense to Children
Number sense relies on background knowledge that is built up over time. Learn more about how to build a connection between numeration and number sense when teaching children at the elementary level.
3. What Are Cardinal Numbers? - Definition & Examples
Have you ever heard numbers called cardinal numbers? Have you wondered what that means? This lesson will explain what they are and also give some examples.
4. What is an Ordinal Number? - Definition & Example
In this lesson, you'll learn what ordinal numbers are, what they're useful for, and see examples of how they're used. We'll also look at the different ways to write ordinal numbers.
5. What are the Different Types of Numbers?
Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.
6. What are Real Numbers? - Definition & Properties
There are many definitions of real numbers, but they all lead to the same conclusion. Real numbers are numbers that have a measurable value. Learn more about real numbers with some examples and a quiz to test your knowledge.
7. Number Systems and The Base-Ten System
Ever think that a computer doesn't get what you want it to do? Don't be surprised; it is living in a world where it can only count to 1. This lesson explains number systems, including our base-ten system and a computer's base-two system.
8. What is a Fraction? - Definition and Types
Fractions may be your friend's worst nightmare, but they don't have to be yours. Watch this video lesson to learn about fractions and how you can understand them easily. Also, learn to identify the different types of fractions.
9. Decimal Basics: Rounding, Ordering & Zeros
Working with decimals can feel daunting, but it doesn't have to be that way. In this lesson, we will learn how rounding, ordering and zeros work with those numbers that are to the right of the decimal point.
10. What is a Percent? - Definition & Examples
Thinking in terms of pizza is an excellent way to think about percentages. Learn how it can help you understand percentages in this video lesson. You will also learn about the uses of percentages in the real world.
11. Arithmetic with Whole Numbers
There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.
12. What Is The Order of Operations in Math? - Definition & Examples
The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.
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Other chapters within the AEPA Early Childhood Education (AZ036): Practice & Study Guide course
- Child Growth & Development
- Factors Affecting Early Childhood Development
- Overview of Children's Exceptional Learning Needs
- Fostering Child Learning & Development
- Positive Learning Environments for Young Children
- Curriculum Planning & Classroom Strategies
- Early Childhood Language Development
- Supporting English Language Learners in Schools
- Developing Literacy in Children
- Literacy Teaching Fundamentals
- Literacy Teaching Strategies
- Teaching Foundational Writing Skills
- Basic Elements of Mathematics
- Measurement & Geometry Skills
- Mathematics Instructional Strategies for Elementary Students
- Fundamental Scientific Concepts for the Classroom
- Teaching Foundational Science Concepts to Elementary Students
- Basic Social Studies Concepts for the Classroom
- Early Childhood Social Studies Instruction
- Learning Through the Arts
- AEPA Early Childhood Education Flashcards