ELEM 451 - Teaching Elementary Mathematics Early Grades

• Explain how mathematical learning occurs in developmentally predictable progressions across all math content domains.
• Identify key milestones in the developmental progression of each of the math content domains of mathematical learning in the early elementary grades. 
• Align instruction with state/national content and mathematical practice standards. 
• Select, design, and enhance curriculum materials/learning tasks that support the developmental progression of mathematical learning, across all domains, at the early elementary grades. 
• Adapt, enhance, and implement learning tasks for the early elementary grades that embed mathematical practices in the instructional process and deepen conceptual understanding. 
• Use a variety of mathematical models and instructional strategies (technology and manipulatives) in order to connect mathematical concepts to real problems and experiences of the early grade elementary learners.
• Present early grade mathematical concepts using multiple representations (e.g., numerical, graphical, analytical, and contextual). 
• Evaluate mathematics curricular materials and resources for the early elementary grades, based upon research based best practices, developmental appropriateness, and appropriateness for learner population. 
• Design and implement learning tasks that emphasize mathematical discourse as a significant support to and function of conceptual understanding.
• Utilize different methods of counting to teach a conceptual understanding of cardinality.