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Mathematical thinking : how to develop it in the classroom
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Description
Rating
Title
Mathematical
thinking
: how to
develop
it
in the
classroom
Creator
Isoda, Masami.
Contributors
Katagiri, Shigeo.
World Scientific (Firm)
DescriptionAbstract
Developing
mathematical
thinking
is
one
of
major
aims
of
mathematics
education
. In
mathematics
education
research
, there are a
number
of
researches
which
describe
what
it
is
and how
we
can
observe
in
experimental
research
.
However
,
teachers
have
difficulties
developing
it
in the
classrooms
. This
book
is
the
result
of
lesson
studies
over
the
past
50
years
.
It
describes
three
perspectives
of
mathematical
thinking
:
Mathematical
Attitude
(Minds
set)
,
Mathematical
Methods
in
General
and
Mathematical
Ideas
with
Content
and
explains
how to
develop
them in the
classroom
with
illuminating
examples
.
DescriptionTable Of Contents
ch
.
1
.
Mathematical
thinking
as the
aim
of
education
.
1.1
.
Developing
children
who
learn
mathematics
for
themselves
.
1.2
.
Mathematical
thinking
as an
ability
to
think
and to
make
decisions
.
1.3
. The
hierarchy
of
ability
and
thinking

ch
.
2
. The
importance
of
cultivating
mathematical
thinking
.
2.1
. The
importance
of
teaching
mathematical
thinking
.
2.2
.
Example
: how
many
squares
are there?

ch
.
3
. The
mindset
and
mathematical
thinking
.
3.1
.
Mathematical
thinking
.
3.2
.
Structure
of
mathematical
thinking

ch
.
4
.
Mathematical
methods
.
4.1
.
Inductive
thinking
.
4.2
.
Analogical
thinking
.
4.3
.
Deductive
thinking
.
4.4
.
Integrative
thinking
.
4.5
.
Developmental
thinking
.
4.6
.
Abstract
thinking
(abstraction)
.
4.7
.
Thinking
that
simplifies
(simplifying)
.
4.8
.
Thinking
that
generalizes
(generalization)
.
4.9
.
Thinking
that
specializes
(specialization)
.
4.10
.
Thinking
that
symbolizes
(symbolization)
.
4.11
.
Thinking
that
represents
by
numbers
,
quantities
, and
figures
(quantification
and
schematization)

ch
.
5
.
Mathematical
ideas
.
5.1
.
Idea
of
sets
.
5.2
.
Idea
of
units
.
5.3
.
Idea
of
representation
.
5.4
.
Idea
of
operation
.
5.5
.
Idea
of
algorithms
.
5.6
.
Idea
of
approximations
.
5.7
.
Idea
of
fundamental
properties
.
5.8
.
Functional
thinking
.
5.9
.
Idea
of
expressions

ch
.
6
.
Mathematical
attitude
.
6.1
.
Objectifying
.
6.2
.
Resonableness
.
6.3
.
Clarity
.
6.4
.
Sophistication

ch
.
7
.
Questioning
to
enhance
mathematical
thinking
.
Publisher
World Scientific Pub. Co.
Subject
Mathematics  Study and teaching (Primary).
Identifier (Full text)
9789814350853
(electronic
bk.)
;
9814350834
;
9789814350839
;
9814350842
(pbk.)
;
9789814350846
(pbk.)
;
http://www.worldscientific.com/worldscibooks/10.1142/8163#t=toc
Language
eng
Type
Electronic books.
FormatExtent
xix, 297 p. : ill. (some col.)
Date
c2012
.
RelationIs Part Of
Monographs on lesson study for teaching mathematics and sciences
v. 1
OCLC number
874497713
CONTENTdm number
354
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