Ch 13: Math Foundations & Concepts

About This Chapter

Study essential math principles and teaching strategies through fun and fast videos. These lessons cover basic math operations, formulas, assessment strategies and more.

Math Foundations & Concepts - Chapter Summary

Our lessons guide you through a review of basic math concepts and introduce you to various methods you can use to teach math to children. The videos in this chapter delve into concepts like order of operations, properties of geometric figures, scientific charts and geometric constructions. You'll study the characteristics associated with math development in children and see strategies that you can use to create a supportive math learning environment for students. After watching these lessons, you'll be familiar with:

  • Experiential math teaching strategies
  • Methods for taking measurements with scales and meters
  • Postulates of geometric figures
  • Formulas for 2- and 3-dimensional figures
  • Analysis of math problems using geometry
  • Math assessment strategies
  • Developmentally appropriate instruction in math
  • Use of language skills in math
  • Math in everyday life

The videos in this chapter offer a flexible approach to learning or reviewing critical math foundations. You can watch videos on your laptop or on the go using your mobile device. Each lesson takes about 5-6 minutes to watch and comes with a short quiz to test your knowledge. You can go back and review main points in each video without having to re-watch the entire lesson and you can challenge yourself by taking the exam that closes out this chapter.

17 Lessons in Chapter 13: Math Foundations & Concepts
Test your knowledge with a 30-question chapter practice test
Experiential Teaching Strategies for Math Concepts

1. Experiential Teaching Strategies for Math Concepts

Learning while doing helps students internalize what they are learning. Experiential methods for math instruction are methods that allow students to experience, or do, while they learn. This lesson covers ideas for how to incorporate experiential learning in your classroom.

Teaching Vocabulary to ELL Students

2. Teaching Vocabulary to ELL Students

Using a translator or carrying a translating device is not realistic when learning English as a second language. In this lesson, you'll learn how to strategically teach vocabulary to English language learners.

Arithmetic with Whole Numbers

3. 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.

What Is The Order of Operations in Math? - Definition & Examples

4. 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.

How to Perform Basic Operations with Measurements

5. How to Perform Basic Operations with Measurements

In this video lesson, you will learn how measurements are very much like variables when it comes to adding, subtracting, multiplying, and dividing them. You will also see examples of how they are done.

How to Take Measurements with Scales, Meters & Gauges

6. How to Take Measurements with Scales, Meters & Gauges

In the real world, we take measurements all the time. Measurements are taken when you drive and when you weigh yourself, for example. Watch this video lesson to learn how you can take measurements of things that are important.

Properties and Postulates of Geometric Figures

7. Properties and Postulates of Geometric Figures

In geometry, there are some basic postulates that are relied upon as the basis for other theorems. Watch this video to learn about the postulates that deal with points, lines, and planes.

Geometric Constructions Using Lines and Angles

8. Geometric Constructions Using Lines and Angles

Watch this video lesson to learn about geometric construction and how you can copy line segments and angles without using any numbers. All you need is a straight edge and a compass.

Basic Formulas for Two- and Three-Dimensional Figures

9. Basic Formulas for Two- and Three-Dimensional Figures

Geometric measurements can be taken for one-, two-, and three-dimensional shapes. This lesson explores the most common formulas one would use to find perimeter, area, surface area, and volume of several two- and three-dimensional figures.

Using Geometry to Analyze Math Problems

10. Using Geometry to Analyze Math Problems

As you learn more math concepts, it helps you solve problems faster and easier. This is the case when it comes to using geometry to solve math problems. Read this lesson to learn how common geometric shapes can help you solve problems.

How to Read Scientific Graphs & Charts

11. How to Read Scientific Graphs & Charts

How do scientists summarize their findings with visual aids? In this lesson, explore the different types of tables, charts and graphs that scientists use. Learn to read these effectively as a preview to your science studies.

Mathematical Development in Children

12. Mathematical Development in Children

Read this lesson, and you'll be surprised at how quickly little children learn about math and how it applies to their little world. You'll learn what to look for at each age.

Mathematics Assessment Strategies in Early Childhood

13. Mathematics Assessment Strategies in Early Childhood

Math isn't just a school topic; it's actually a skill that children begin learning about soon after they begin talking. Learn what assessment strategies you can use to see how well your children are grasping their early math skills in this lesson.

Developmentally Appropriate Math Instruction

14. Developmentally Appropriate Math Instruction

In this lesson, we will learn developmentally appropriate ways to incorporate math instruction into your classroom. We will learn what it means to be developmentally appropriate, and then provide some effective learning strategies to make this possible in early childhood learning.

Creating an Inclusive Math Learning Environment

15. Creating an Inclusive Math Learning Environment

In this lesson, we will explore the components and requirements of creating an inclusive math learning environment. We will also review research-based strategies.

How Language Skills Apply to Mathematics

16. How Language Skills Apply to Mathematics

Just because you are learning math does not mean that you can totally skimp on your language skills. In this lesson, you'll learn that improving in your language skills can actually help improve your math skills as well.

Using Math in Everyday Life

17. Using Math in Everyday Life

While not everyone loves math, it is extremely useful. Learn about just a few of the dozens of ways that math can be used in everyday life: for money matters, to improve decision-making, and in many other little ways.

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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