ELEM 452 - Teaching Elementary Mathematics Upper Grades

• Design and adapt developmental learning progressions, including conceptual and procedural milestones and common misconceptions, based on state/national standards within each upper elementary content domain.
• Adapt and enhance learning tasks for upper elementary grades by embedding mathematical practices to deepen students understanding of connections between procedures and conceptual understanding.
• Use a variety of mathematical models and instructional strategies (technology & manipulatives) to design and enhance lessons that deepen student conceptual understanding using problem solving.
• Evaluate mathematics curricular materials and resources for the upper elementary grades, based upon research based best practices, developmental appropriateness, and appropriateness for differentiated learner population.
• Integrate discourse into learning activities and explain how language will be used to guide students in mathematical problems solving, argumentation, literacy, and deep conceptual understanding.
• Represent proportional relationships using tables, graphs, equations, diagrams, mathematical models, and verbal descriptions.
• Apply conceptual understanding in analyzing and solving real world problems that require the use of ratios, rates, proportions, and scaling and explain connection to proportional relationships in geometry, measurement, statistics, probability and function.
• Utilize and explain arithmetic operations and their properties of integers, rational, real numbers, and complex numbers using standard and alternative algorithms.
• Analyze, extend and generalize patterns both geometrically and algebraically.  They will write both explicit and recursive definitions for generating a sequence.