
Nguồn ngoài
MATH 011: Math Concepts for Elementary School Teachers – Number Systems
This course covers mathematical topics needed for elementary school teaching with a focus on quantitative reasoning, problem solving, and communication. Topics include structure of the real number system, numeration systems, computation algorithms, problem solving strategies, and elementary number theory. The course meets requirements for elementary school teacher certification.
- Tác giả
- Melissa Flora
- Nhà xuất bản
- College of the Desert
- Nguồn
- LibreTexts
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 83 mục
- 01: Introduction
- 1.01: Common Core
- 1.02: Introduction to Problem Solving
- 1.03: Problem or Exercise
- 1.04: Quantitative Analysis
- 1.05: Word Problems
- 1.06: Problem Solving Strategies
- 02: Solving Problems
- 2.01: George Polya's Four Step Problem Solving Process
- 2.02: Beware of Patterns
- 2.03: Practice
- 2.04: Asking Questions
- 03: Representing Quantities Without Place Values
- 3.01: Number Systems
- 3.02: Roman Numerals
- 3.03: Numeration Systems
- 04: Representing Quantities With Place values
- 4.01: Trading and Place Value
- 4.02: Other Base Systems
- 4.03: Different Bases and Their Number Lines
- 4.04: Place Values with Different Bases
- 4.05: Supplementary Topics
- 05: Addition and Subtraction
- 5.01: Addition and Subtraction
- 5.02: Combining
- 5.03: Subtraction
- 5.04: Number Line Model
- 5.05: Addition and Subtraction
- 5.06: Operations in Different Bases
- 06: Multiplication
- 6.01: Multiplication
- 6.02: Area Model for Multiplication
- 6.03: Multiplication Algorithms
- 6.04: Additional Multiplication Topics
- 6.05: Practice
- 07: Division
- 7.01: Division
- 7.02: Division Algorithms
- 7.03: Division in other Bases
- 7.04: Practice
- 08: Fractions
- 8.01: What is a Fraction
- 8.02: A Key Property of Fractions
- 8.03: Rational Numbers
- 8.04: Adding and Subtracting Fractions
- 8.05: What is a Fraction Revisited
- 8.06: Multiplying Fractions
- 8.07: Introduction to Dividing Fractions
- 8.08: Dividing Fractions Methods
- 8.09: Fractions Involving Zero
- 8.10: Practice
- 8.11: Egyptian Fractions
- 8.12: Algebra Connections
- 8.13: What is a Fraction Looking Back
- 09: Decimals
- 9.01: Decimals
- 9.02: Deci-mals in Other Bases
- 9.03: Terminating or Repeating
- 9.04: Orders of Magnitude
- 9.05: Practice
- 10: Estimation and Rounding
- 10.01: Definitions
- 10.02: Rounding Integers
- 10.03: Rounding Decimals
- 10.04: Estimation by Rounding
- 10.05: Estimation by Clustering
- 10.06: Mental Arithmetic and Using the Distributive Property
- 10.07: Estimation by Rounding Fractions
- 11: Logic and Sets
- 11.01: Careful Use of Language in Mathematics
- 11.02: The Basics of Sets
- 11.03: Venn Diagrams
- 12: Number Theory
- 12.01: Number Theory
- 12.02: Divisibility
- 12.03: Divisibility Tests
- 13: Algebraic Thinking
- 13.01: Introduction
- 13.02: Examples
- 13.03: Equality
- 13.04: Growing Patterns
- 13.05: Structural and Procedural Algebra
- 13.06: Practice