About This Chapter
PLACE Early Childhood Education: Math in Early Childhood - Chapter Summary
Feel confident in your ability to succeed on the PLACE Early Childhood Education assessment by studying for math in early childhood questions using the lessons in this chapter. After reviewing the lessons, you will be able to:
- List and describe teaching strategies for number systems and sequences
- Define the number line, fraction and probability in math, and describe arithmetic with whole numbers
- Explain how to find place value in whole numbers, recognize patterns of an object and sort by attributes
- Identify and describe teaching strategies for basic geometry, and examine surveys, interviews and case studies
- Describe how to construct graphs from data and make estimates and predictions from categorical data
- Share how to solve mathematical problems using estimation, and identify mathematical principles for problem solving
- Discuss how to use mathematical models to solve problems, and describe standard and nonstandard units of measurement
This chapter offers resources designed to easily navigate the lessons in this chapter and prepare for the exam. You can review the lessons in any order you desire. To make sure you fully comprehend the topics, take the short quiz with each lesson at any time. A chapter exam provides a broader review of the lessons, boosting your confidence as you prepare for the test.
1. Teaching Strategies for Number Systems & Sequences
In this lesson, you'll explore several different teaching strategies related to number sense and patterns within our number system to support the development of numeracy skills.
2. 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.
3. Finding Place Values in Whole Numbers
After watching this video lesson, you will be able to find the location of any place value that you are given. You will also be able to identify them in any whole number.
4. 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.
5. 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.
6. 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.
7. Teaching Strategies for Basic Geometry
Geometry is an area of mathematics that lends itself well to visual and kinesthetic activities. In this lesson, we discuss strategies and techniques for teaching basic geometry.
8. 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!
9. Surveys, Interviews, and Case Studies
Researchers often have to decide how to collect data for their research. Should they ask people questions or observe them directly? This lesson will differentiate between three methods of data collection: surveys, interviews, and case studies.
10. 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.
11. Make Estimates and Predictions from Categorical Data
Categorical data can be estimated but not predicted. Learn why in this video lesson along with how to read and gather information from a bar graph of categorical data.
12. Solving Mathematical Problems Using Estimation
Estimating is a method of calculating a result that is close to, but not exactly, the correct answer to a math problem. Why would you ever need to do this? This lesson reviews estimating and answers the question as to why you would do it.
13. Mathematical Principles for Problem Solving
Solving problems is not just a simple, straightforward process. There are a few principles that can help you as you approach any problem solving scenarios. This lesson covers those principles with examples.
14. 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.
15. Standard & Nonstandard Units of Measurement: Concepts & Instruments
In this lesson, we'll define both standard and nonstandard units of measurement. We'll discuss each of these types of units and the measuring instruments we use for both through definition, explanation, and example.
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Other chapters within the PLACE Early Childhood Education: Practice & Study Guide course
- PLACE Early Childhood Education: Cognitive Development
- PLACE Early Childhood Education: Cognitive Perspective in Psychology
- PLACE Early Childhood Education: Social & Moral Development
- PLACE Early Childhood Education: Physical Development
- PLACE Early Childhood Education: Language Acquisition & Development
- PLACE Early Childhood Education: Student Diversity
- PLACE Early Childhood Education: Motivating Students to Learn
- PLACE Early Childhood Education: Guidance & Socialization Strategies
- PLACE Early Childhood Education: Teaching Language & Literacy Skills
- PLACE Early Childhood Education: Teaching Reading
- PLACE Early Childhood Education: Teaching Writing
- PLACE Early Childhood Education: Intro to Social Studies
- PLACE Early Childhood Education: Teaching Science
- PLACE Early Childhood Education: Intro to Science
- PLACE Early Childhood Education: Arts Education
- PLACE Early Childhood Education: Health & Physical Education
- PLACE Early Childhood Education: Instructional Pedagogy
- PLACE Early Childhood Education: Teaching Resources & Technology
- PLACE Early Childhood Education: The Learning Environment
- PLACE Early Childhood Education: Assessments
- PLACE Early Childhood Education: History of Education in the U.S.
- PLACE Early Childhood Education: Philosophies of Education
- PLACE Early Childhood Education: Education & the Legal System
- PLACE Early Childhood Education: Social & Ethical Considerations
- PLACE Early Childhood Education: Issues in Early Childhood Education
- PLACE Early Childhood Education: Professional Education Organizations
- PLACE Early Childhood Education Flashcards