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STEM 451. Reasoning and Proof for the P-6 Classroom

Credits: 3
Department: Statistics
Description: Problem solving, conjecture, generalization, and proof in effective teaching of STEM. Mathematical reasoning as an iterative process of conjecturing, generalizing, and investigating. Topics are drawn from set theory, logic, arithmetic, algebra, geometry and STEM fields.
Prerequisites: MATH301;SCI226orSCI227;ED200orSPED200orCFS200
Semester Offered:
  • Fall
  • Odd Summer
Grading Method: ABCDF

Student Learning Outcomes

1. Formulate and interpret statements presented in Boolean logic. Reformulate statements from common language to formal logic. Apply truth tables and the rules of propositional and predicate calculus.
2. Write and interpret mathematical notation and mathematical definitions.
3. Demonstrate a mathematical proof of a stated algebraic relation using any of the following techniques: direct proof, indirect proof, contradiction, mathematical induction.
4. Demonstrate the use of mathematical reasoning by justifying and generalizing patterns and relationships.
5. Write solutions to problems and proofs of theorems that meet rigorous standards based on content, organization and coherence, argument and support, and style and mechanics.
6. Identify and use current standards (state, national, and NCTM), both content and process, for the P-6 mathematics curriculum.
7. Analyze research on the teaching and learning of problem solving, conjecture, generalization and proof in the P-6 mathematics curriculum.
8. Identify technologies as an instruction tool in the P-6 or special education classroom.
9. Use problem solving approaches to solve and justify solutions of various types of problems drawn from the STEM fields.
10. Develop lessons for the P-6 or special education classroom using recent research on the teaching and learning of problem solving, conjecture, generalization, and proof.

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