But Why Does It Work

Author: Susan Jo Russell
Publisher: Heinemann Educational Books
ISBN: 9780325081144
Size: 25.44 MB
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Designed for individuals as well as study groups, this book includes access to classroom-ready instructional sequences, each built on a model supporting students in: noticing relationships across sets of problems, equations, or expressions ...

Proving In The Elementary Mathematics Classroom

Author: Andreas J. Stylianides
Publisher: Oxford University Press
ISBN: 0198723067
Size: 41.61 MB
Format: PDF
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291) (emphasis in original) One of the key contributions of this book is the
analysis of classroom examples with respect to these three aspects of proof.
Modes of argumentation, stylianides makes clear, are not only within the
conceptual reach of the classroom community, but are also consistent with those
that are accepted by mathematicians as proof. For example, providing numerous
examples in support of a conjecture that covers infinitely many cases does not
constitute proof, while ...

Teachers Professional Development And The Elementary Mathematics Classroom

Author: Sophia Cohen
Publisher: Routledge
ISBN: 113563226X
Size: 65.71 MB
Format: PDF
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Abby talks about an activity that she does with her students daily. ... In Abby's
class, she was finding that children tended to stick to the several methods of
generating these equations that had come first to mind and had been discussed
in class. ... This ability and willingness to take on the work of evaluating what is
and is not a valid mathematical argument, or what is and is not a valid
mathematical proposition, is an important step in a child's development—
mathematically, as well as ...

The Mathematics Enthusiast Issue

Author: Bharath Sriraman
Publisher: IAP
ISBN: 1681236346
Size: 31.27 MB
Format: PDF
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One could argue that this is work that students also often do in mathematics
classrooms, but it is important work that is not done in other fields. The line
between SCK and CCK maybe particularly challenging to distinguish in the
context of the Common Core, since the Standards for Mathematical Practice now
ask students (and teachers) to engage with content through mathematical
practices such as constructing arguments and critiquing the thinking of others,
actions which in some ...

The Emergence Of Mathematical Meaning

Author: Paul Cobb
Publisher: Routledge
ISBN: 1136486100
Size: 30.99 MB
Format: PDF, ePub, Mobi
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small-group work and in the whole-class activities (introductory phase and
closing whole-class discussion) as well. In general, argumentation is ... With
regard to classroom interaction, such accomplishments of argumentations
generally do not appear in the form of a monologue but rather as direct face-to-
face interaction. Because of the emergent ... However, in primary mathematics
education, calculations occur persistently and, hence, coincide with
argumentation. Episode 1, January ...

Elementary Mathematics Is Anything But Elementary Content And Methods From A Developmental Perspective

Author: Damon Bahr
Publisher: Cengage Learning
ISBN: 0618928170
Size: 66.72 MB
Format: PDF, ePub, Docs
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Mathematics. How does a teacher lead a student-led lesson? How does he
create such a learning environment? In 1991, the NCTM's Professional
Standards for Teaching Mathematics recommended shifts in classroom
environments, one of which ... or collaboratively to make sense of mathematics;
□ take intellectual risks by raising questions and formulating conjectures; □
display a sense of mathematical competence by validating and supporting ideas
with mathematical argument.

More Best Practices For Elementary Classrooms

Author: Randi Stone
Publisher: Corwin Press
ISBN: 1452237778
Size: 10.63 MB
Format: PDF, Docs
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need to do more investigation in a center? Or do I need to move one activity out,
or increase its difficulty? Reflections Paraphrase response-attempts, being
careful to honor the effort behind each. I don't mind repeating myself to get
important points across, and I don't tire of the students' high energy. I tend to
motivate with my enthusiasm and energy, always looking for different ways for the
children to experience a concept. I seem more effective if I don't jump in to
communicate for the ...

Mathematics For Elementary School Teachers A Process Approach

Author: Mark A. Freitag
Publisher: Cengage Learning
ISBN: 128552876X
Size: 63.37 MB
Format: PDF, Mobi
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Initially, we limited the discussion to segments and angles, but we can extend the
idea of congruence to other two- and three-dimensional shapes. Of these,
congruent ... In the elementary classroom, children come to an intuitive
understanding of congruence and similarity by manipulating physical shapes. ...
Once students have a solid understanding of congruence and similarity, they use
the ideas to identify geometric properties, develop mathematical arguments, and
solve problems.

The Learning To Write Process In Elementary Classrooms

Author: Suzanne Bratcher
Publisher: Routledge
ISBN: 1136606467
Size: 53.13 MB
Format: PDF
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Logical/Mathematical Intelligence. Ask children ... Because persuasive writing
focuses on changing a reader's beliefs or actions, its success depends on a
writer analyzing a reader's beliefs, choosing arguments that will work, and
making concrete suggestions to start the process of change. In order to ... At first
this task may seem difficult, but children do this kind of analysis intuitively when
they approach Mom, Dad, or Grandma in different ways to ask permission for the
same privilege.

The Construction Of New Mathematical Knowledge In Classroom Interaction

Author: Heinz Steinbring
Publisher: Springer Science & Business Media
ISBN: 0387242538
Size: 72.78 MB
Format: PDF, ePub
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111, the position of the professional mathematical argumentation represented
here can be characterized as follows: the objects used in mathematical
argumentation no longer possess any immediately given visual features, but are
contradiction-free constructions ... 221), one can still assume that, when working
on a mathematical argument, the individual mathematician cannot do without
such idealized object conceptions in his consciousness or private world of ideas (
Heintz, 2000, p.