MTH 213 Elementary Mathematics 3

Lecture Hours: 4
Credits: 4

Presents the third course in a mathematics sequence designed for prospective elementary education teachers. Covers topics in geometry. Utilizes computer programs and manipulatives to deepen conceptual understanding.

Prerequisite: Placement into WR 115 (or higher) or completion of WR 090 (or higher); and completion of MTH 212 (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 in the study of geometry, including the use of, but not limited to, concrete models, graphical, symbolic, narrative, and tabular representations.
Create models of real-world situations as they apply to the teaching of geometry at the elementary level.
Use inductive reasoning to develop mathematical conjectures in geometry. Use deductive reasoning to verify and apply mathematical arguments in geometry.
Make mathematical connections to, and solve problems from, other disciplines as they apply to the teaching of geometry at the elementary level.
Use oral and written skills to individually and collaboratively communicate about applications as they apply to the teaching of geometry at the elementary level.
Use appropriate technology to solve mathematical problems and to enhance mathematical thinking and understanding of geometry at the elementary level.
Conduct projects that encourage independent, nontrivial exploration of applications.

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

Geometric Figures
- Plane figures, definitions
- Curves and polygons in the plane
- Figures in space
- Networks
Measurement
- The process
- Area and perimeter
- Pythagorean theorem
- Surface area and volume
Transformations and Symmetry
- Rigid motion
- Patterns and symmetries
Congruence, Constructions, and Similarity
- Congruent triangles
- Constructing geometric figures
- Similar triangles
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