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MTHED
663

Calculus Teaching & Learning

Hours

3.0 Credit, 3 Lecture, 0 Lab
Fundamental calculus concepts as well as the curricula, reform efforts, and research associated with teaching and learning calculus.

Scholarship

Students understand and can evaluate important issues, trends, theories, paradigms of research, and research findings related to the teaching and learning of Calculus, as well as their implications for the teaching and learning of mathematics in the public schools, mathematics teacher development, and participation in mathematics education scholarship.

Critical Stance

Students can apply principles of quality research to analyze and critique research on the teaching and learning of Calculus, and understand the affordances and constraints of research paradigms and methodologies in this body of research.

Mathematics

Students understand the central concepts, tools of inquiry, and structures of the Calculus--in particular the concepts of function limit, continuity, derivative and integral--as well as core representations, canonical examples, and alternative algorithms germane to teaching Calculus that illustrate important issues in the research on teaching and learning Calculus.

Teaching

Students understand how to analyze Calculus topics--in particular the concepts of function limit, continuity, derivative and integral--in the context of the literature on studentsâ?? mathematical thinking, meaningfully apply research on teaching and learning Calculus in their teaching, and use scholarly inquiry as a lens to reflect on that teaching.

Professionalism

Students recognize the key role that school mathematics plays in providing the foundation for the learning of the Calculus, and feel a desire to continually seek opportunities to improve their own teaching of these foundational ideas, keep abreast of advances and developments in the field regarding the teaching and learning of Calculus concepts, and promote better pre-calculus teaching in schools.

Spiritual Stewardship

Students strive to follow the example of Jesus Christ in both their personal and professional lives, seek consistency between their understanding of the restored gospel of Jesus Christ and principles of mathematics teaching and learning studied in this course, and use this enriched understanding of teaching and learning to nurture the divine potential of all in their spheres of influence.