The foundational topics of mathematics-whole numbers, decimals, fractions, ratios, proportions, percent's, signed numbers, exponents, and order of operations-are presented in six modules of learning in Foundations of Mathematics. Though the scope of this book does not differ from that of traditional mathematics textbooks, both the goals and core philosophy of the book do. While it is critical that students learn the content of the course and how to perform calculations, it is equally important that students learn how to learn and how to improve their ability to learn as well as their performance. The innovative and holistic nature of this philosophy entails that the presentational style of Foundations of Math be equally innovative. The following pages present the parts of a sample section, in the order and manner they are presented to students.
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646 pages, 6 Chapters, 28 Activities
To the Student
Chapter 1 - Whole Numbers
Section 1.1 Introduction to Whole Numbers
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Section 1.2 Adding and Subtracting Whole Numbers
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Section 1.3 Multiplying Whole Numbers
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Section 1.4 Dividing Whole Numbers
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Section 1.5 Rounding Whole Numbers
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Chapter 2 - Decimals
Section 2.1 Reading, Writing, Comparing, and Rounding Decimal Numbers
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Section 2.2 Adding and Subtracting Decimal Numbers
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Section 2.3 Multiplying Decimal Numbers
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Section 2.4 Dividing Decimal Numbers
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Chapter 3 - Fractions
Section 3.1 Introduction to Fractions
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Section 3.2 Finding Prime Factors
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Section 3.3 Reducing Fractions
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Section 3.4 Multiplying and Dividing Fractions and Mixed Numbers
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Section 3.5 Building Equivalent Fractions and Ordering Fractions
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Section 3.6 Adding and Subtracting Fractions and Mixed Numbers
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Chapter 4 - Ratios and Proportions
Section 4.1 Ratios
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Section 4.2 Proportions
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Section 4.3 Applications of Proportions
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Chapter 5 - Percents
Section 5.1 Converting between Percents, Decimals, and Fractions
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Section 5.2 Solving Percent Problems
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Chapter 6 - Signed Numbers, Exponents, and Order of Operations
Section 6.1 Adding, Subtracting, Multiplying, and Dividing Signed Numbers
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Section 6.2 Exponents
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Section 6.3 Evaluating Expressions Using the Order of Operations
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Chapter 7 - Learning How to Learn Math
Pre-activity Reading for Chapter Seven
Becoming a Self-Directed Learner of Mathematics
Math Test Anxiety
Principles of Process Education
Levels of Learner Performance
The Reading Methodology
Overview of the Learning Process Methodology
Team Roles for Collaborative Learning Activities
Understanding Evaluation and Assessment
Self-Assessment
SII Method of Assessment
Becoming a Self-directed Learner
Activity 7.1 Processing the Course Syllabus-Building a Strong Foundation
Activity 7.2 Becoming an Effective Learner of Mathematics
Activity 7.3 The Reading Methodology
Activity 7.4 Collaborative Learning
Activity 7.5 Applying the Learning Process Methodology
Appendices
Appendix A - Mathematical Properties and Principles
Appendix B - Index of Methodologies and Techniques
Appendix C - Answer Key for Methodologies (Example 2 Problems
Appendix D - Answer Key for Demonstrate Your Understanding
Appendix E - Worked Solutions to Part A of Practice Tests
Appendix F - Answer Key to Part B of Practice Tests
