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Mathematical Understanding for Secondary Teaching - A Framework and Classroom-Based Situations (Hardcover)
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Mathematical Understanding for Secondary Teaching - A Framework and Classroom-Based Situations (Hardcover)
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A perennial discussion about teacher development is the optimal
content background for teachers. In recent years, that discussion
has taken center stage in the work of mathematics education
researchers, mathematicians, mathematics professional developers,
and mathematics education policymakers. Much of the existing and
prior work in this area has been directed toward mathematical
knowledge for teaching at the elementary level. The work described
in this volume takes a sometimes-neglected approach, focusing on
the dynamic nature of mathematical understanding rather than on a
stable description of mathematical knowledge, and on mathematics
for secondary teaching rather than mathematics for teaching at the
elementary level. The work reported in Mathematical Understanding
for Secondary Teaching: A Framework and Classroom-Based Situations
is a practice-based response to the question of what mathematical
understandings secondary teachers could productively use in their
teaching. For each of more than 50 events, our team of almost 50
mathematics educators who were experienced mathematics teachers
developed descriptions of the mathematics that teachers could
use-each of those descriptions (consisting of the event and the
mathematics related to the event) is what we call a Situation. We
developed our Framework for Mathematical Understanding for
Secondary Teaching (MUST) based on an analysis of our entire set of
Situations. We call the work practice-based because the MUST
framework is based on actual events that we witnessed in our
observations of secondary mathematics practice. Groups of
mathematics teachers can use this volume to enhance their own
understandings of secondary mathematics. School leaders and
professional developers in secondary mathematics will find our MUST
Framework and Situations useful as they work with teachers in
enhancing and deepening their understanding of secondary
mathematics. Mathematics teacher educators and mathematicians who
teach mathematics to prospective and in-service secondary teachers
will be able to couch their mathematical discussions in the
Situations-examples that arise from secondary mathematics
classrooms. They will be able to use this volume as they design
courses and programs that enhance mathematics from the perspectives
identified in the MUST framework. Policymakers and researchers can
use our MUST framework as they consider the mathematics background
needed by teachers.
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