Hill College
P.O. Box 613
Hillsboro, Texas 76645
COURSE SYLLABUS
Course Prefix and Number
Course Title
MATH 1350
MATH FOR ELEMENTARY EDUCATION I
Prepared by: Pat Hillyard
Date: August 2013
Approved by:
Date:_
Dean of Instruction
Approved by:
Date:_
Vice President of Instruction
D i s a b i l i t i e s / AD A
In accordance with the requirements of the Americans with Disabilities Act (ADA) and
the regulations published by the United States Department of Justice 28 C.F.R.
35.107(a), Hill College’s designated ADA coordinator, Melanie Betz, Director of
Academic Advising & Student Success, shall be responsible for coordinating the
College’s efforts to comply with and carry out its responsibilities under ADA. Students
with disabilities requiring physical, classroom, or testing accommodations should
contact the Director of Academic Advising & Student Success, at (254)659-7651.
Course Description: MATH 1350
Concepts of sets, functions, numeration systems, number theory, and properties of the
natural numbers, integers, rational, and real number systems with an emphasis on
problem solving and critical thinking.
Lecture Hours
3
Prerequisites:
Math 1314
Lab Hours
0
Semester Credit Hours
3
INTRODUCTION AND PURPOSE
This course provides a basic understanding of elementary math. The course is for
the first and second year college students majoring in education. This course is meant
to help prepare elementary education students to teach mathematics on the elementary
school level.
INSTRUCTIONAL MATERIALS
Textbook: A Problem Solving Approach to Mathematics for Elementary School
Teachers, 11th edition, by Billstein, Libeskind, & Lott, Pearson Publishing.
Supplies and additional materials: Notebook paper, graph paper, ruler, and
calculator.
OBJECTIVES/LEARNING OUTCOMES: (There are no ACGM objectives yet)
At the completion of this course the student should be able to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
Communicate a mathematical process of quantitative information.
Communicate a mathematical process of reasoning.
Define basic set theory terms and process.
Use set theory to construct whole number relationships.
Perform set theory operations.
Demonstrate the connection between set operations and arithmetic operations.
Identify the elements of historical numeration systems.
Identify the elements of base number systems.
Identify and demonstrate knowledge of conceptual models of arithmetic
computations.
10. Demonstrate how concrete models of arithmetic computation relate to various
computational algorithms.
11. Define integers, rational numbers, and irrational numbers.
12. Demonstrate an understanding of the classification of real numbers.
13. Demonstrate an understanding of the properties of real numbers.
14. Compare and order real numbers.
15. Define and use basic number theory terms and procedures.
16. Be able to use divisibility tests to determine factors of large non-prime numbers.
17. Demonstrate and understand the fundamental theorem of arithmetic.
18. Define and use terms related to proportionality.
19. Perform operations with ratios and proportions to solve application problems.
20. Demonstrate an understanding of percentages and their use in situations.
The students' success in completing these objectives will be measured using a set of
examinations and assignments described, in detail under the section of this syllabus
headed “Method of Evaluation”.
METHODS OF INSTRUCTION:
This course will be taught face-to-face using group participation and board work
and by various distance learning delivery methods. Students will be expected
to participate daily in group work or discussion boards.
Audio-visual materials and computer based technology will be used when
appropriate. Students will be shown how to use a calculator where appropriate.
METHODS OF EVALUATION:
Grades in this course will be based on the following evaluative criteria:
3 exams
Text problems
Class projects
Presentation
Final Exam
15% each of semester grade
10% of semester grade
25% of semester grade
10% of semester grade
10% of semester grade
Letter grades for the course will be based on the following percentages:
90-100%
80-89%
70-79%
60-69%
Below 60%
A
B
C
D
F
Class Policies:
Regular class participation is expected at Hill College since it is assumed that students
are enrolled for the serious purpose of furthering their education. Excessive absences
or failure to participate in online discussion boards may result in a student being dropped
from the course.
Table of Contents:
1. An Introduction to Problem Solving
1-1 Mathematics and Problem Solving
1-2 Explorations with Patterns
1-3 Reasoning and Logic: An Introduction
2. Numeration Systems and Sets
2-1 Numeration Systems
2-2 Describing Sets
2-3 Other Set Operations and Their Properties
3. Whole Numbers and Their Operations
3-1 Addition and Subtraction of Whole Numbers
3-2 Algorithms for Whole-Number Addition and Subtraction
3-3 Multiplication and Division of Whole Numbers
3-4 Algorithms for Whole-Number Multiplication and Division
3-5 Mental Mathematics and Estimation for Whole-Number Operations
4. Number Theory
4-1 Divisibility
4-2 Prime and Composite Numbers
4-3 Greatest Common Divisor and Least Common Multiple
Online Module: Clock & Modular Arithmetic
5. Integers
5-1 Integers and the Operations of Addition and Subtraction
5-2 Multiplication and Division of Integers
6. Rational Numbers and Proportional Reasoning
6-1 The Set of Rational Numbers
6-2 Addition, Subtraction, and Estimation with Rational Numbers
6-3 Multiplication and Division of Rational Numbers
6-4 Ratios, Proportions, and Proportional Reasoning
7. Decimals: Rational Numbers and Percent
7-1 Introduction to Decimals
7-2 Operations on Decimals
7-3 Nonterminating Decimals
7-4 Percents and Interest
8. Real Numbers and Algebraic Thinking
8-1 Real Numbers
8-2 Variables
8-3 Equations
8-4 Functions
8-5 Equations in a Cartesian Coordinate System
Online Module: Using Real Numbers in Equations
Bibliography
A Problem Solving Approach to Mathematics for Elementary School
Teachers, 11th edition, by Billstein, Libeskind, & Lott, Pearson Publishing.