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Nov 29, 2021
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# MATH 2120 - Mathematics for Elementary School Teachers III: Geometry & Measurement

This course is a continuation of MATH 1105 Mathematics for Elementary School Teachers II:  Data Analysis, Probability & Algebra and is for prospective elementary school teachers.  Its primary emphasis is on the development of spatial reasoning skills as they relate to the real world.  Explorations focus on the investigations of two- and three-dimensional shapes, including their properties, measurements, constructions, and transformations with the intent of preparing students to be competent in teaching these major concepts.

Credits: 4

Instructional Method Lecture/Lab

General Education Requirement: Math Reasoning
Comments: This course may be used for the quantitative reasoning requirement at UW.

Prerequisites:
MATH 1105 Mathematics for Elementary School Teachers II: Data Analysis, Probability and Algebra with a “C” or better

Minimum Student Competencies
Upon completion of MATH 2120 Mathematics for Elementary School Teachers III:  Geometry & Measurement, the student will:

1. Define the basic notations of Euclidean geometry.
2. Incorporate basic axioms and definitions to prove theorems and properties in Euclidean geometry.
3. Categorize basic two- and three-dimensional shapes according to their properties and the relationships between them.
4. Build representations of two- and three-dimensional objects using concrete models, constructions, nets, and drawings.
5. Identify and justify symmetry, congruence, and similarity among two-dimensional shapes.
6. Apply theorems and properties in constructions of geometric figures and their components using a compass and straight edge.
7. Analyze distance, isometries, and properties of two-dimensional figures using coordinate geometry.
8. Recognize the historical development of Euclidean and non-Euclidean geometries including contributions from diverse cultures.
9. Use definitions, properties, and constructions to carry out various transformations (translations, reflections, rotations, dilations, and tessellations) in a plane
10. Apply appropriate measurement units, techniques, and tools, including standard English and metric systems as well as non-standard systems.
11. Estimate measurements appropriately.
12. Convert measurements (linear, area, volume, mass, and temperature) from one unit to another.
13. Demonstrate knowledge of the historical development of measurement systems including contributions from diverse cultures.
14. Find linear measures, area, and volume of two-dimensional and three-dimensional figures.
15. Express mathematical ideas precisely, both verbally and in writing.
16. Utilize manipulatives that reinforce the content of the course within the context of the NCTM Standards.
17. Critique published articles that deal with mathematics pedagogy.
18. Observe mathematics lessons presented in an elementary classroom.
19. Present a mathematics lesson to the class within the context of the NCTM standards.

Program Outcomes
Elementary Education AS

PO#2 Construct learning experiences based on current best practices, developmental theories, and state and national standards.

PO#3 Use effective, appropriate, and varied instructional methods to communicate with diverse audiences.

PO#4 Evaluate instructional methods that connect learning with the students’ diverse experiences and needs.