Surveys mathematical topics for those interested in the presentation of mathematics at the K-9 levels. This course emphasizes problem solving, patterns, sequences, set theory, logic, numeration systems, number bases, arithmetic operations, and number theory. Various manipulatives and heuristic problem solving strategies are used. Foundations of Elementary Math I is intended to examine the conceptual meanings of elementary mathematics and to provide students with opportunities to experience using manipulatives to model problem solving, computational operations with whole numbers, and topics in number theory. The content and pedagogy is based on the NCTM standards.
Emphasis is on why mathematics works as it does rather than on memorization of algorithms.
In addition, current technology is used as appropriate giving students a feel for the impact of technology on the mathematics curriculum and topics will be presented using current math educational methods as appropriate. Finally, problem solving is used as a theme throughout the course to convince students that mathematics is much more than just rote memorization and computation. Students will be encouraged to interact with elementary school age children. All activities will follow the premise that formal definitions and pro- cedures evolve from the investigation of practical problems. Activities will include group work.