Introduces elementary problem solving with emphasis on the nature of numbers and the structure of the real number system.

Topics studied include the structure and properties of number systems and of Euclidean Geometry applicable in elementary and middle school classrooms.

This course is open to all students and required of students seeking elementary education licensure.

This course will provide you with the proper foundation for and understanding of the mathematical concepts you will teach to elementary school children. Topics will include the structure and properties of number systems and of Euclidean Geometry.

Investigations through the use of manipulatives and technology in these topics will highlight the National Council of Teachers of Mathematics’ (NCTM) Process Standards:

1. Problem Solving,
2. Reasoning and Proof,
3. Communication,
4. Connections,
5. Representation,

and the Virginia Department of Education’s Standards of Learning.

Students will deepen their understandings of

• number systems, their structure, basic operations, number sense, and properties,
• computation and estimation, computational strategies, ratios, proportions, and percents,
• algebra including: patterns, algebraic thinking, and operations using multiple representations,
• geometry including: geometric figures, Pythagorean Theorem, perimeter, area, surface area of two- and three- dimensional figures, coordinate and transformational geometry, and
• probability and statistics including: permutations and combinations, experimental vs theoretical, and measures of central tendency.

Textbook: A Problem Solving Approach to Mathematics for Elementary School Teachers Billstein, R., Libeskind, S., Lott, J.W., (2013). (11th ed.). Boston: Pearson.
ISBN: 9780321756664

Syllabus (PDF)