MTH 212 Elementary Mathematics 2

Lecture Hours: 4
Credits: 4

Offers the second course of a mathematics sequence designed for prospective elementary education teachers. Covers basic concepts about rational numbers, real numbers, statistics, and probability. Uses manipulatives to deepen conceptual understanding.

Prerequisite: Placement into WR 115 (or higher), or completion of WR 090 (or higher); and completion of MTH 211 (or higher) or equivalent course as determined by instructor; or consent of instructor. (All prerequisite courses must be completed with a grade of C or better.)
Student Learning Outcomes:

Use mathematical problem-solving techniques involving rational numbers, real numbers, statistics, and probability, including the use of, but not limited to, graphical, symbolic, narrative, and tabular representations.
Create models of real-world situations as they apply to the teaching of mathematics at the elementary level in rational numbers, real numbers, statistics, and probability.
Use inductive reasoning to develop mathematical conjectures in rational numbers, real numbers, statistics, and probability. Use deductive reasoning to verify and apply mathematical arguments in rational numbers, real numbers, statistics, and probability.
Make mathematical connections to, and solve problems from, other disciplines as it applies to the teaching of mathematics at the elementary level in rational numbers, real numbers, statistics, and probability.
Use oral and written skills to individually and collaboratively communicate about applications as it applies to the teaching of mathematics at the elementary level in rational numbers, real numbers, statistics, and probability.
Use appropriate technology to solve mathematical problems and to enhance mathematical thinking and understanding of mathematics at the elementary level in rational numbers, real numbers, statistics, and probability; and judge the reasonableness of results.
Conduct projects that encourage independent, nontrivial exploration of applications and models as it applies to the teaching of mathematics at the elementary level in rational numbers, real numbers, statistics, and probability.

Statewide General Education Outcomes:

Use appropriate mathematics to solve problems.
Recognize which mathematical concepts are applicable to a scenario, apply appropriate mathematics and technology in its analysis, and then accurately interpret, validate, and communicate the results.

Content Outline

Rational and Real Numbers
- Basic concepts of rational numbers
- Properties of rational numbers
- Decimal representation of rational numbers
- Decimal representation of irrational numbers
- Computations using fractions and decimals
- Ratio and Proportion
- Percent
Statistics
- Graphical representation of data
- Measures of central tendency
- Measures of variability
- 68-95-99.7 rule
Probability
- Empirical probability
- Theoretical probability
- Principles of counting
Manipulatives and Technology
- Use manipulatives and group activities to enhance understanding and to model teaching methods at the elementary level in conjunction with all topics
- Use technology to enhance understanding of all concepts of this foundations course