Math 27: Number Systems for Educators

This text focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. (Photo Credit: by Joshua Eckstein on Unsplash)

Mathematics

Tác giả: Ashley McHale
Nhà xuất bản: Las Positas College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 111 mục

01: Overview of Elementary Common Core Mathematics
1.01: How to Read this Textbook
1.02: The Importance of Mathematics for Elementary School Students
1.03: How Did We Get Here
1.04: Showing Students' Thinking
02: Problem Solving
2.01: Introduction to Problem Solving
2.02: Problem or Exercise
2.03: Problem Solving Strategies
2.3.01: George Polya's Four Step Problem Solving Process
2.04: Beware of Patterns
2.05: Problem Bank
2.06: Careful Use of Language in Mathematics
2.07: Explaining Your Work
2.08: The Last Step
03: Numeration Systems and Bases
3.01: The Why
3.02: Units of Measurement
3.03: Historical Counting Systems
3.3.01: Introduction and Basic Number and Counting Systems
3.3.02: The Number and Counting System of the Inca Civilization
3.3.03: The Hindu-Arabic Number System
3.3.04: The Development and Use of Different Number Bases
3.3.05: The Mayan Numeral System
3.3.06: Roman Numerals
3.3.07: Exercises
3.04: Different Bases and Their Number Lines
3.05: Converting Between (our) Base 10 and Any Other Base (and vice versa)
3.06: Place Values with Different Bases
3.07: Operations in Different Bases
04: Arithmetic and Mental Mathematics
4.01: The Why
4.02: Addition and Subtraction
4.03: Multiplication
4.04: Division
4.05: Estimation and Rounding
4.06: Personal Referents
4.07: Calculating Percentages
4.08: Extension - Methods of Teaching Mathematics
05: Rational Numbers
5.01: The Why
5.02: What are Fractions
5.03: Add Subtract Multiply and Divide Fractions
5.04: Understanding Fractions With The C-Strips
5.05: Rational Numbers
5.06: Facts About Comparing Fractions
5.07: Decimals
5.08: Definition of Real Numbers and the Number Line
5.09: Models and Operations with Integers
5.10: Number comparisons using and
5.11: Homework
06: Number Theory
6.01: The Why
6.02: Number Theory
6.03: Divisibility Rules
6.3.01: Digital Roots and Divisibility
6.04: Primes and GCF
6.05: The Greatest Common Factor
6.06: LCM and other Topics
6.07: The Least Common Multiple
6.08: Homework
07: Geometry
7.01: The Why
7.02: Introduction
7.03: Tangrams
7.04: Triangles and Quadrilaterals
7.05: Polygons
7.06: Polygons
7.07: Linear Unit Conversions
7.08: Platonic Solids
7.09: Painted Cubes
7.10: Symmetry
7.11: Area Surface Area and Volume
7.12: Area Surface Area and Volume Formulas
7.13: Geometry in Art and Science
7.14: Problem Bank
08: Additional Activities
8.01: 1. Power of Patterns- Domino Tiling
8.02: 2. Regular Tiling
8.03: 3. Festive Folding
8.04: 4. Platonic Solids
8.05: 5. Egyptian Pizza
8.06: Semi Regular Tilings
09: Appendix
9.01: Appendix A- Common Core State Standards Mathematics K-6
9.02: Appendix B- Mathematical Practices for Teachers
9.03: Appendix C- Solutions for Partner Activities
9.04: Appendix D- Solutions to Practice Problems
9.05: Appendix E- Material Cards (Harland)
9.5.01: Coins
9.5.02: A-Blocks
9.5.03: Value Label Cards
9.5.04: Models for Base Two
9.5.05: Unit Blocks
9.5.06: Base Two Blocks
9.5.07: Base Three Blocks
9.5.08: Base Four Blocks
9.5.09: Base Five Blocks
9.5.10: Base Six Blocks
9.5.11: Base Seven Blocks
9.5.12: Base Eight Blocks
9.5.13: Base Nine Blocks
9.5.14: Base Ten Blocks
9.5.15: Base Eleven Blocks
9.5.16: Base Twelve Blocks
9.5.17: Supplementary Longs
9.5.18: Centimeter Strips
9.5.19: Counters
9.5.20: Number Squares
9.5.21: Fraction Circles
9.5.22: Strips and Arrays