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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