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Understanding Analysis and its Connections to Secondary Mathematics Teaching (Paperback, 1st ed. 2022)
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Understanding Analysis and its Connections to Secondary Mathematics Teaching (Paperback, 1st ed. 2022)
Series: Springer Texts in Education
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Getting certified to teach high school mathematics typically
requires completing a course in real analysis. Yet most teachers
point out real analysis content bears little resemblance to
secondary mathematics and report it does not influence their
teaching in any significant way. This textbook is our attempt to
change the narrative. It is our belief that analysis can be a
meaningful part of a teacher's mathematical education and
preparation for teaching. This book is a companion text. It is
intended to be a supplemental resource, used in conjunction with a
more traditional real analysis book. The textbook is based on our
efforts to identify ways that studying real analysis can provide
future teachers with genuine opportunities to think about teaching
secondary mathematics. It focuses on how mathematical ideas are
connected to the practice of teaching secondary mathematics-and not
just the content of secondary mathematics itself. Discussions
around pedagogy are premised on the belief that the way
mathematicians do mathematics can be useful for how we think about
teaching mathematics. The book uses particular situations in
teaching to make explicit ways that the content of real analysis
might be important for teaching secondary mathematics, and how
mathematical practices prevalent in the study of real analysis can
be incorporated as practices for teaching.This textbook will be of
particular interest to mathematics instructors-and mathematics
teacher educators-thinking about how the mathematics of real
analysis might be applicable to secondary teaching, as well as to
any prospective (or current) teacher who has wondered about what
the purpose of taking such courses could be.
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