TRI-COUNTY TECHNICAL COLLEGE
Pendleton, South Carolina
COURSE SYLLABUS
Course Number: MAT 212
Course Name: Mathematics for Elementary Education II
Lecture Hours Lab Hours Credits
Per Week: 3 Per Week: 0 Awarded: 3
Catalogue (CAC) Description: This course includes the following topics: basic algebra; introductory geometry; probability and statistics. Open to elementary education majors only.
Entry Level Skills:
Introductory problem-solving, logic, elementary set theory and functions, numeration systems, integer operations, solve simple linear equations and inequalities.
Pre-requisites: MAT 211 with a grade of C or better.
Co-requisites: None.
Text(s): Billstein, Libeskind, Lott. A Problem Solving Approach to Mathematics for Elementary School Teachers, 9th ed., Pearson Addison Wesley, 2007.
Dolan, Williamson, Muri. Activity Manual—Mathematics Activities for Elementary School Teachers: A Problem Solving Approach, 6th ed., Pearson Addison Wesley.
Equipment: Scientific calculator.
Student Learning Outcomes:
Course Outcome 1: At the completion of this course, you will be able to demonstrate
acceptable proficiency and “number sense” when computing with rational numbers,
decimals, percents, and probabilities using mental strategies, models, and/or
standard/alternative algorithms.
Assessment method: Student success on this outcome will be measured by the results
achieved on written examinations and classroom activities.
Links to Gen. Ed./Arts & Sciences Program Outcomes:
2. Reason Quantitatively
2.1 Demonstrate proficiency in interpreting numerical and graphical data
2.2 Utilize data and appropriate technology to solve problems mathematically
3. Think Critically
3.1 Locate, evaluate, and use information in solving problems
Course Outcome 2: At the completion of this course, you will be able to effectively
communicate an understanding of mathematical concepts and reasoning processes used
to solve problems by providing explanations with solutions to selected problems.
Assessment method: Student success on this outcome will be measured by results
achieved on written examinations and responses to problem-solving activities.
Links to Gen. Ed./Arts & Sciences Program Outcomes:
1. Communicate Effectively
1.1 Demonstrate proficiency in written communication
1.3 Utilize current communication technologies to present ideas and information.
2. Reason Quantitatively
2.1 Demonstrate proficiency in interpreting numerical and graphical data
3. Think critically
3.1 Locate, evaluate, and use information in solving problems
3.2 Evaluate and present well-reasoned arguments.
Course Outcome 3: At the completion of this course, you will be able to apply
fundamental mathematics concepts related to rational numbers, decimals, percents, and
probability to solve real-world and puzzle-type problems.
Assessment method: Student success on this outcome will be measured by results
achieved on written examinations, responses to problem-solving activities, and
participation in classroom discussions.
Links to Gen. Ed./Arts & Sciences Program Outcomes:
2. Reason Quantitatively
2.1 Demonstrate proficiency in interpreting numerical and graphical data
2.2 Utilize data and appropriate technology to solve problems mathematically
3. Think critically
3.1 Locate, evaluate, and use information in solving problems
Links to Arts and Sciences Program Outcomes:
9. The student will demonstrate proficiency in interpreting numerical and graphical data
and applying problem-solving techniques.
Course Outcome 4: At the completion of this course, you will be able to describe and
analyze sets of data in order to draw conclusions and make decisions.
Assessment method: Student success on this outcome will be measured by results
achieved on written examinations and classroom activities.
Links to Gen. Ed. Outcomes:
1. Communicate Effectively
1.1 Demonstrate proficiency in written communication
1.3 Utilize current communication technologies to present ideas and information.
2. Reason Quantitatively
2.1 Demonstrate proficiency in interpreting numerical and graphical data
3. Think critically
3.1 Locate, evaluate, and use information in solving problems
3.2 Evaluate and present well-reasoned arguments.
Course Outcome 5: At the completion of this course, you will be able to demonstrate
collaboration skills while working to solve problems, develop concepts, and reinforce
learning.
Assessment method: Student success on this outcome will be measured by the quantity and quality of participation in classroom activities.
Links to Gen. Ed./Arts & Sciences Program Outcomes:
1. Communicate Effectively
1.2 Demonstrate proficiency in oral communication
2. Reason Quantitatively
2.1 Demonstrate proficiency in interpreting numerical and graphical data
2.2 Utilize data and appropriate technology to solve problems mathematically.
3. Think critically
3.1 Locate, evaluate, and use information in solving problems
3.2 Evaluate and present well-reasoned arguments.
Course Competencies:
Unit 1: Chapter 5 Rational Numbers as Fractions (Sec. 5.1 – 5.4)
1. Construct manipulatives to model fractions and their operations.
2. Apply fundamental concepts related to rational numbers including equality of
fractions, simplification of fractions, ordering rational numbers, and the density
property of rational numbers.
3. Perform the four basic operations with rational numbers.
4. Use estimation and mental strategies with rational numbers as a means to
obtain answers and/or to identify reasonable answers.
5. Recognize the use of negative exponents to represent fractional quantities.
6. Apply proportional reasoning to solve problems.
Unit 2: Chapter 6 Decimals, Percents, and Real Numbers (Sec. 6.1 – 6.6)
1. Use manipulatives to represent the relationship of decimal amounts to whole
number amounts.
2. Explain the relationship between fractions, decimals, and percents and convert
quantities between the three forms.
3. Convert fractions to terminating/repeating decimals and vice versa.
4. Order decimals according to size of quantity represented.
5. Perform the four basic operations with decimal numbers.
6. Use estimation and mental strategies with decimal numbers and percents as a
means to obtain answers and/or to identify reasonable answers.
7. Apply the concept of square root to simplify expressions.
8. Explain the difference between rational and irrational numbers.
9. Recognize the use of rational exponents to represent roots.
10. Use manipulatives to develop the concept of percent.
11. Use percents to solve real-life problems including simple and compound
interest.
Unit 3: Chapter 7 Probability (Sec. 7.1 – 7.5)
1. Explain the difference between experimental and theoretical probability and the
use of the Law of Large Numbers to relate the two.
2. Apply concepts such as equally likely outcomes, mutually exclusive events,
complementary events, and independent events to calculate probabilities.
3. Use multiple techniques (including tree diagrams, formulas, area models, and
simulation) to solve probability problems.
4. Discuss the use of odds as a means of communicating the likelihood of an
event.
5. Make sense of counting techniques and use them to determine the number of
outcomes.
Unit 4: Chapter 8 Data Analysis/Statistics: An Introduction (Sec. 8.1 – 8.3)
1. Recognize various types of statistical graphs, identify their identifying
characteristics, and use them in appropriate situations.
2. Describe data sets by calculating mean, median, mode, range, mean absolute
difference, and standard deviation.
3. Explain the differences between the various measures of central tendency and
the measures of dispersion.
4. Recognize and use normal distributions to calculate percentages of a
population.
5. Identify various abuses of statistical representations.
Grade Calculation: Four unit tests 60-80%
Homework/Project/ 0-25%
PenPal Journals/Problem
Solving Activities
Comprehensive Final Exam 15-20%
Total 100%
Prepared by Lou Ann Martin Date revised January 10, 2008