Teacher Candidates develop a deep understanding of the purpose of mathematical discourse with an emphasis on mathematical practices. They examine how students learn math across all strands: number & operations, algebra, geometry, measurement, and data analysis & probability aligned with state and national standards and based on student needs. This class may include students from multiple sections.
Must be seeking a Bachelor of Applied Science in Teacher Education degree to enroll. If interested, visit pencol.edu/bas
Prerequisites
Teacher Education BAS Program Admittance
Course Outcomes
- Evaluate mathematics curricular materials and resources for elementary grades, based upon research based best practices and appropriateness for differentiated learner population (developmentally and culturally responsive).
- Identify key milestones in the developmental progression of each of the math content domains of mathematical learning in the elementary grades.
- Utilize different methods of counting to teach a conceptual understanding of cardinality, including place value, base-ten system, fractions, decimals, and real numbers.
- Present mathematical concepts using multiple representations and through the recognition and use of patterns.
- Design, enhance, adapt and implement developmental learning progressions, including conceptual and procedural milestones and common misconceptions, based on state/national standards and learner needs to deepen conceptual understanding.
- Apply a variety of mathematical models, tools, and instructional strategies, including the use of technology, in order to connect mathematical concepts to real world problems and life experiences.
- 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.
- 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.
- Utilize and explain arithmetic operations for integers, rational, real numbers, and complex numbers using standard and alternative algorithms.