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Mathematics Classrooms That Promote Understanding (Paperback, Annotated Ed)
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Mathematics Classrooms That Promote Understanding (Paperback, Annotated Ed)
Series: Studies in Mathematical Thinking and Learning Series
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"Mathematics Classrooms That Promote Understanding" synthesizes the
implications of research done by the National Center for Research
in Mathematical Sciences on integrating two somewhat diverse bodies
of scholarly inquiry: the study of teaching and the study of
learning mathematics.
This research was organized around content domains and/or
continuing issues of education, such as equity and assessment of
learning, and was guided by two common goals--defining the
mathematics content of the K-12 curriculum in light of the changing
mathematical needs of citizens for the 21st century, and
identifying common components of classrooms that enable students to
learn the redefined mathematics with understanding. To accomplish
these goals, classrooms in which instruction facilitated the growth
of understanding were established and/or studied. This volume
reports and discusses the findings which grew out of this research,
and subsequent papers and discussions among the scholars engaged in
the endeavor.
Section I, "Setting the Stage," focuses on three major threads:
What mathematics should be taught; how we should define and
increase students' understanding of that mathematics; and how
learning with understanding can be facilitated for all students.
Section II, "Classrooms That Promote Understanding," includes
vignettes from diverse classrooms that illustrate classroom
discourse, student work, and student engagement in the mathematics
described in Chapter 1 as well as the mental activities described
in Chapter 2. These chapters also illustrate how teachers deal with
the equity concerns described in Chapter 3. Section III addresses
"Developing Classrooms That Promote Understanding."
The knowledge of the teaching/learning process gained from the
research reported in this volume is a necessary prerequisite for
implementing the revisions called for in the current reform
movement. The classrooms described show that innovative reform in
teaching and learning mathematics is possible. Unlike many volumes
reporting research, this book is written at a level appropriate for
master's degree students. Very few references are included in the
chapters themselves; instead, each chapter includes a short
annotated list of articles for expanded reading which provides the
scholarly basis and research substantiation for this volume.
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