About This Chapter
Mathematical Concepts in Early Childhood - Chapter Summary
The lessons of this chapter will cover some of the ways in which children can learn basic mathematical concepts. They have been put together by our expert instructors to provide you with a quick and efficient way to review different mathematical tools, vocabulary and operations essential to developing a mathematical understanding. When you've completed this chapter, you could know more about:
- Number lines and the ordering of real numbers
- Arithmetic operations with whole and real numbers
- Standard and non-standard units of measurement
- Basic geometric shapes and algebraic vocabulary
- Techniques used to recognize patterns
- Sorting by attributes
- Organizing and interpreting data
- Constructing and using graphs
Each lesson is mobile-device compatible, so that you can fit it into a busy schedule and not have to worry about setting aside time to spend in front of your computer. Lessons also come with quizzes that will help you discover topics you don't understand. To improve your comprehension of these topics, re-review the lessons, or ask our instructors for assistance using the teacher tabs.
1. What Is a Number Line?
A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.
2. The Order of Real Numbers: Inequalities
An inequality is an operation describing how one number can be compared to another. This lesson will describe and define inequalities and the symbols used to represent them. It will also give some examples on how to work with inequalities.
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.
4. Teaching Standard & Nonstandard Units of Measurement
In this lesson, we'll learn how measuring with nonstandard units can prepare students to understand conversions once they begin using standard units of measure.
5. Overview of the Basic Shapes in Geometry
Watch this video lesson to learn about some basic shapes in geometry. These are the shapes that you will come across most often in math. Watch as triangles, rectangles, pentagons, and circles come by.
6. Algebra Vocabulary Terms
Watch this video lesson to learn about some basic vocabulary words that you will come across again and again in the course of your studies in algebra. After you finish this video, you should know and be able to identify each term.
7. Recognizing & Generalizing Patterns in Math
Being able to recognize patterns is one of the most important aspects of studying math, and one that has definite advantages in other fields of study. In this lesson, we'll look at how to recognize the most common patterns in math: sequences.
8. Recognizing Patterns of Object & Sorting by Attributes
Recognizing patterns of objects and sorting by their attributes opens the door to real world problem solving and reasoning skills. Patterns are used in Math at all skill levels, from the very basic sorting of colors and shapes to higher level STEM related concepts.
9. What is Probability in Math? - Definition & Overview
Remember throwing a quarter and calling out heads or tails? Learn what this has to do with probability. Also learn how you can use your newly-learned skills from this lesson to help you decide whether you should play heads or tails at all!
10. Standard Units of Measurement for Length, Weight, Time & Capacity
Watch this video lesson to learn how to recognize the various units of measurement for length, weight, time and volume. Learn to recognize both U.S. units and metric units.
11. Data Analysis: Purpose & Steps
In this lesson, the student will learn what is data analysis, the purpose of data analysis, and the steps to conduct a data analysis. Also in this lesson, the student will learn how to organize, interpret, and represent data.
12. How to Construct Graphs from Data
This video describes how to create a line graph and explains the four main parts that graphs need to contain: 1. previously collected data, 2. picture representations, 3. use of the correct graph type, and 4. labels. This lesson also covers dependent and independent variables.
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Other chapters within the ILTS Early Childhood Education (206): Practice & Study Guide course
- Oral Language Development in Early Childhood
- Promoting Listening & Speaking Skills in Early Childhood
- Emergent Literacy in Early Childhood Education
- Phonemic Awareness in Early Childhood Education
- Print Concepts in Early Childhood Education
- Building Spelling Skills in Early Childhood
- Teaching Phonics in Early Childhood
- Word Identification Strategies in Early Childhood Education
- Vocabulary Development in Early Childhood Education
- Reading Comprehension Strategies in Early Childhood Education
- Applying Reading Skills in Early Childhood Education
- Writing Development in Early Childhood
- Early Childhood Writing Process
- Teaching Mathematics to Children
- Scientific Concepts & Processes in Early Childhood Education
- Earth & Space Science: Early Childhood Education
- Life Science in Early Childhood Education
- Physical Science in Early Childhood Education
- Environmental Science in Early Childhood Education
- Science Education Strategies for Early Childhood
- Geography Tools: Overview & Concepts
- Overview of American History
- Illinois History
- Civics & Economics in America
- Studying & Comparing Cultures
- Social Sciences in Early Childhood Education
- Protecting Personal Safety
- Health & Physical Education in Early Childhood Education
- Fine Arts in Child Education
- Early Childhood Physical Development
- Cognitive Development in Early Childhood
- Social Development in Early Childhood Education
- Health & Safety Issues in Early Childhood
- Planning for Instruction: Classroom Strategies
- Assessments in Childhood Education
- Individualized Education Plans
- Positive Learning Environments for Young Children
- The Early Childhood Education Professional
- Communication & Collaboration in Early Childhood Education
- ILTS Early Childhood Education Flashcards