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Concept Mapping in Mathematics - Research into Practice (Paperback, Softcover reprint of hardcover 1st ed. 2009)
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Concept Mapping in Mathematics - Research into Practice (Paperback, Softcover reprint of hardcover 1st ed. 2009)
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Concept Mapping in Mathematics: Research into Practice is the first
comprehensive book on concept mapping in mathematics. It provides
the reader with an understanding of how the meta-cognitive tool,
namely, hierarchical concept maps, and the process of concept
mapping can be used innovatively and strategically to improve
planning, teaching, learning, and assessment at different
educational levels. This collection of research articles examines
the usefulness of concept maps in the educational setting, with
applications and examples ranging from primary grade classrooms
through secondary mathematics to pre-service teacher education,
undergraduate mathematics and post-graduate mathematics education.
A second meta-cognitive tool, called vee diagrams, is also
critically examined by two authors, particularly its value in
improving mathematical problem solving. Thematically, the book
flows from a historical development overview of concept mapping in
the sciences to applications of concept mapping in mathematics by
teachers and pre-service teachers as a means of analyzing
mathematics topics, planning for instruction and designing
assessment tasks including applications by school and university
students as learning and review tools. This book provides case
studies and resources that have been field tested with school and
university students alike. The findings presented have implications
for enriching mathematics learning and making problem solving more
accessible and meaningful for students. The theoretical
underpinnings of concept mapping and of the studies in the book
include Ausubel's cognitive theory of meaningful learning,
constructivist and Vygotskian psychology to name a few. There is
evidence particularly from international studies such as PISA and
TIMSS and mathematics education research, which suggest that
students' mathematical literacy and problem solving skills can be
enhanced through students collaborating and interacting as they
work, discuss and communicate mathematically. This book proposes
the meta-cognitive strategy of concept mapping as one viable means
of promoting, communicating and explicating students' mathematical
thinking and reasoning publicly in a social setting (e.g.,
mathematics classrooms) as they engage in mathematical dialogues
and discussions. Concept Mapping in Mathematics: Research into
Practice is of interest to researchers, graduate students, teacher
educators and professionals in mathematics education.
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