Course Description
This course covers the mathematics needed by those teaching new-content mathematics courses at the elementary school level with emphasis on the structure of the real number system and its subsystems. The course is designed for students seeking a teaching certification in elementary education.
Course Outcomes:
1. Students will understand numbers, ways of representing numbers, relationships among numbers, and number systems.
2. Students will use mathematical models to represent and understand quantitative relationships.
3. Students will communicate their mathematical thinking coherently and clearly to students, peers, and others.
Worksheets and
Required Articles
Worksheets:
Articles:
Exam Reviews
FYI Articles and Materials
Class Notes Fall 2019:
8/26/19 - 1.1 Communication Through Mathematical Representation (Part 1)
8/28/19 - 1.1 Communication Through Mathematical Representation (Part 2);
1.2 Inductive Reasoning and Patterns (Part 1)
9/4/19 - 1.2 Inductive Reasoning & Patterns (Pt 2); 1.4 Problem Solving (Pt 1)
9/9/19 - 1.4 Problem Solving (Pt 2)
9/23/19 - 3.1 A Brief History of Numeration Systems
9/25/19 - 3.2 The Hindu-Arabic or Decimal System
9/30/19 - Other Base Numeration Systems
10/2/19 - 4.1 Understanding Whole Number Addition and Subtraction (Pt 1)
10/9/19 - 4.1 Understanding Whole Number Addition and Subtraction (Pt 2)
10/14/19 - 4.2 Adding and Subtracting Large Numbers
10/16/19 - 4.3 Understanding Whole Number Multiplication and Division (Pt 1)
10/21/19 - 4.3 WN Multiplication & Division (Pt 2); 4.4 Multiplying & Dividing Large WN
10/23/19 - 5.1 Divisibility, Primes, Composites
10/28/19 - 5.2 GCF & LCM; 6.1 Integer Basics, Addition and Subtraction (Pt 1)
10/30/19 - 6.1 Integer Basics, Addition & Subtraction; 6.2 Integers Multiplication & Division
11/4/19 - 7.1 Fractions and the Set of Rational Numbers (Part 1)
11/13/19 - 7.1 Fractions and the Set of Rational Numbers (Pt 2); 7.2 Adding Fraction (Pt 1)
Fraction Activity Handout -FYI
11/18/19 - 7.2 Adding/Subtracting Fractions (Pt 2); 7.3 Multiplying/Dividing Fractions
11/20/19 - 7.3 Multiplying and Dividing Fractions (Pt 2)
11/25/19 - 8.1 Decimals and Real Numbers; 8.2 Decimals and Real Number Operations (pt 1)
11/27/19 - 8.2 Decimals (pt 2); 8.3 Ratios & Proportions; 8.4 Percents
Class Notes Fall 2018:
8/28/18 - 1.1 Communication Through Mathematical Representation (Part 1)
8/30/18 - 1.1 Communication Through Mathematical Representation (Part 2);
1.2 Inductive Reasoning and Patterns (Part 1)
9/4/18 - 1.2 Inductive Reasoning and Patterns (Part 2)
9/6/18 - 1.4 Mathematical Problem Solving (Part 1)
9/11/18 - 1.4 Mathematical Problem Solving (Part 2)
9/24/18 - 3.1 A Brief History of Numeration
9/27/18 - 3.2 The Hindu-Arabic or Decimal System
10/2/18 - 3.3 Other Base Numeration Systems
10/4/18 - 4.1 Understanding Whole Number Addition and Subtraction - Part 1
10/11/18 - 4.1 Understanding Whole Number Addition and Subtraction - Part 2
10/16/18 - 4.2 Adding and Subtracting Large Numbers
10/18/18 - 4.3 Understanding Whole Number Multiplication and Division - Part 1
10/23/18 - 4.3 - Part 2; Mult/Div Large Numbers; 5.1 Divisibility, Primes, Composites - Part 1
10/25/18 - 5.1 - Divisibility, Primes, Composites - Part 2; 5.2 GCF and LCM - Part 1
10/30/18 - 5.2 - GCF and LCM - Part 2; 6.1 Integer Basics, Addition and Subtraction
11/1/18 - 6.1 Integer Basics, Addition & Subtraction; 6.2 Multiplication & Division of Integers
11/6/18 - 7.1 Fractions and the Set of Rational Numbers - Part 1
11/13/18 - 7.1 Fractions and the Set of Rational Numbers - Part 2
11/15/18 - 7.2 Adding and Subtracting Fractions; 7.3 Multiply and Dividing Fractions (Part 1)
11/20/18 - 7.3 Multiplying and Dividing Fractions (Part 2)
11/27/18 - 8.1 Decimals and Real Numbers; 8.2 Decimals and Real Number Operations
11/30/18 - 8.2 Decimals and Real Number Operations; 8.3 Ratios and Proportions