COURSE SYLLABUS______________________________________________________________
Instructor: Mr. Michael Blanchett
Work/Daytime Phone: 501 505-8851, Ext 156
Cell Phone: 501 329-6872 (Call or Text)
Office Location: Cooper Building, Room PB 102 or NA
E-Mail: [email protected]
Skype: michael.blanchett (8:00-5:00pm)
A. MTH 3311 Mathematics for Teachers I
B. Course Description
An introduction to the mathematical concepts underlying the traditional computational techniques and
knowledge of the real number system for the P-8 teacher. Students will connect mathematics concepts to
processes; participate in activities using mathematics manipulatives, and use appropriate technology.
Emphasis on problem solving, reasoning, and communication. Prerequisite: Completion of MTH 1303
with a “C” or better
C. Required Text
Beckmann, Sybilla. (2011). Mathematics for Elementary Teachers with Activity Manual. (3rd Ed).
Pearson. ISBN: 0321654277
D. Additional Learning Materials
No calculators are allowed, and all work must be shown for full credit.
E. Course Objectives
 The students will gain a comprehensive understanding of the number system and how its structure is
related to computation, arithmetic, algebra, and problem solving.
The students will use a variety of tools, technology, and mathematical representations to explore and
model number and operations concepts.
The students will be able to communicate number and operations ideas orally, visually, and in writing, in
order to facilitate effective discourse related to these topics in a positive mathematics learning
The students will understand how children learn the fundamentals of number systems, their problemsolving strategies, how they construct an understanding of various number systems and arithmetic, typical
error patterns, and how to interpret and assess students’ work and learning
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F. Course Outline
1. Numbers and the Decimal System
1.1 The Counting Numbers
1.2 Decimals and Negative Numbers
1.3 Comparing Numbers in the Decimal System
1.4 Rounding Numbers
2. Fractions
2.1 The Meaning of Fractions
2.2 Interlude: Solving Problems and Explaining Solutions
2.3 Fractions as Numbers
2.4 Fractions as numbers
2.4 Equivalent Fractions
2.5 Comparing Fractions
2.6 Percent
3. Addition and Subtraction
3.1 Interpretations of Addition and Subtraction
3.2 The Commutative and Associative Properties of Addition, Mental Math, and Single-Digit Facts
3.3 Why the Common Algorithms for Adding and Subtracting Numbers in the Decimal System Work
3.4 Adding and Subtracting Fractions
3.5 Adding and Subtracting Negative Numbers
4. Multiplication
4.1 Interpretations of Multiplication
4.2 Why multiplying Numbers by 10 is Easy in the Decimal System
4.3 The Commutative and Associative Properties of Multiplication
4.4 The Distributive Property
4.5 Properties of Arithmetic, Mental Math, and Single-Digit Multiplication Facts
4.6 Why the Common Algorithm for Multiplying Whole Numbers Works
5. Multiplication of Fractions, Decimals, and Negative Numbers
5.1 Multiplying Fractions
5.2 Multiplying decimals
5.3 Multiplying Negative numbers
5.4 Powers and Scientific Notation
6. Division
6.1 Interpretations of Division
6.2 Division and Fractions and Division with Remainder
6.3 Why the Common Long Division Algorithm Works
6.4 Fraction Division from the “How Many Groups?” Perspective
6.5 Fraction Division from the “How Many in One Group?” Perspective
6.6 Dividing Decimals
7. Combining Multiplication and Division: Proportional Reasoning
7.1 The Meanings of Ratio, Rate, and Proportion
7.2 Solving Proportion Problems by Reasoning with Multiplication and Division
7.3 Connecting Ratios and Fractions
7.4 When You Can Use a Proportion and When You Cannot
7.5 Percent Revisited: Percent Increase and Decrease
8. Number Theory
8.1 Factors and Multipliers
8.2 Greatest Common Factor and Least Common Multiple
8.3 Prime Numbers
8.4 Even and Odd
8.5 Divisibility Tests
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G. Course Evaluation
Grades will be based on scores from exams, assignments, clinical experiences, and participation.
Exams and Assignments:
Mid-Term Exam
125 Points
Final Exam
100 Points
60 Points
4 Short Papers
60 Points
4 Articles & Discussion 40 Points
Grading Scale:
A = 90%-100%
B = 80%-89%
C = 70%-79%
D = 60%-69%
F = 59% & below
H. Policies
Participation: Students are expected to log into class regularly and turn in the assignments (or participate
in forums) via WebStudy on time (meeting weekly deadlines). The instructor will check each student’s
participation weekly. Those who fail to meet the deadlines will be penalized. No late submission (this
includes late forum participation or test taking after the due date) will be accepted unless prior written
consent is granted by the instructor.
Academic Dishonesty: All acts of academic dishonesty, which includes but is not limited to cheating,
falsifying, and plagiarism, are serious violations and carry severe penalties including failure on the
assignment or in the course. Plagiarism is the presentation of another person’s work, ideas, or
expressions as one’s own, whether one does so intentionally or as a result of careless documentation.
Individual Support: CBC adheres to the requirements of the Americans with Disabilities Act. It is the
policy of CBC to accommodate students with disabilities, pursuant to federal and state law. Any student
with a disability who needs accommodation (for example, special arrangements for seating, exams, notetaking, etc.) should inform the instructor at the beginning of the course. The chair of the department
offering this course is also available to assist with accommodations. Students with disabilities are
encouraged to contact the Registrar’s office, which is located in the administration building.
Harassment Policy: It is CBC’s policy that all personnel have the right to work and/or study in an
environment free from illegal discrimination including all types of harassment. Please familiarize
yourself with Harassment Policy on pages 13-15 of the Student Handbook.
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Children*s and Adolescent Literature