Math 204 - Concepts for Elementary Teacher Syllabus

Course Syllabus:  Hoang - Khanh - Math 204 - 56400 - Fall 2018.pdf

Meet Your Instructor:  

Khanh Kim Hoang

Course Description: 

Designed for prospective elementary teachers, the course emphasizes problem solving techniques and mathematical structure associated with numeration, set theory, elementary number theory, real number system, ratio, proportion, and percent. The course includes instructional delivery design and activity-based explorations.

Textbook Information:  Mathematics for Elementary Teachers, Musser, 10^th  edition

Additional Course Information: 

1)  Math 204 remind.pdf

Course Learning Objectives: 

Upon successful completion of the course, students will be able to:

1. Solve problems using problem solving strategies, pattern recognition, inductive reasoning, modeling, and by communicating ideas to other students.
2. Illustrate sets using Venn diagrams and demonstrate understanding of the concepts of: set, equal sets, element of a set, empty set, intersection of sets, union of sets, infinite sets, and finite sets.
3. Demonstrate knowledge of Hindu-Arabic, Roman Numerals and other historic numeral systems.
4. Compare the attributes (additive, subtractive, multiplicative, positional, place value) of the following numeration systems.
5. Distinguish between the three uses of whole numbers: cardinal number, ordinal number, and identification number.
6. Demonstrate operations and properties on whole numbers in bases other than base 10.
7. Demonstrate an understanding in Number Theory, including primes, divisibility, GCF, LCM, patterns and sequences.
8. Apply algorithms from number theory to determine divisibility in a variety of settings;
9. Analyze least common multiples and greatest common divisors and their role in standard algorithms.
10. Explain the concept of rational numbers, using both ratio and decimal representations; analyze the arithmetic algorithms for these two representations, and justify their equivalence.
11. Define the concept of rational and irrational numbers, including their decimal representation, and illustrate the use of a number line representation.
12. Apply operations and properties using rate, ratio and proportions.
13. Apply operations and properties on integers and order of operations.
14. Evaluate the equivalence of numeric algorithms and explain the advantages and disadvantages of equivalent algorithms in different circumstances.
15. Analyze the structure and properties of whole, rational, and real number systems;
16. Develop and reinforce conceptual understanding of mathematical topics through the use of patterns, connections, and representation; and develop activities implementing curriculum standards (common core and national)

Student Learning Objectives:

• Students will develop problem solving techniques and mathematical structure associated with numeration, set theory, elementary number theory, the real number system, ratio, proportion and percent.
• Students will understand the mathematics essential to successful teaching in the elementary school classroom.
• Students will demonstrate mastery of math concepts included in grades K-8.
• Students will identify and apply teaching strategies used in elementary education.
• Students will gain experience using a variety of teaching tools and manipulatives.
• Students will identify the new state grade level math standards (Common Core).