But Why Does It Work

Author: Susan Jo Russell
Publisher: Heinemann Educational Books
ISBN: 9780325081144
Size: 63.83 MB
Format: PDF, ePub
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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: 47.29 MB
Format: PDF, ePub, Mobi
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stylianides offers a definition of proof in the context of a classroom community that
includes three criteria: Proof is a mathematical argument, a connected sequence
of assertions for or against a mathematical claim, with the following
characteristics: 1. it uses statements accepted by the ... 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.

Teachers Professional Development And The Elementary Mathematics Classroom

Author: Sophia Cohen
Publisher: Routledge
ISBN: 113563226X
Size: 19.65 MB
Format: PDF, ePub, Docs
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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: 44.44 MB
Format: PDF, ePub, Mobi
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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 ...

Best Practices For Elementary Classrooms

Author: Randi Stone
Publisher: Skyhorse Publishing, Inc.
ISBN: 1632209594
Size: 70.97 MB
Format: PDF
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What Award-Winning Teachers Do Randi Stone. percentage of student work. The
child should be in charge of his own learning. By investigating one standard in a
variety of ways, each child is able to find a medium that “talks” to him or her. ... My
hope is that with the conclusion of this lesson, it seems we are well on our way to
six-year-olds being fluent in analyzing characteristics and properties of 2-D and 3
-D geometric shapes and developing mathematical arguments about geometric ...

Mathematics For Elementary School Teachers

Author: Tom Bassarear
Publisher: Cengage Learning
ISBN: 0840054637
Size: 79.78 MB
Format: PDF, ePub, Docs
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You will see how children can and do “prove” conjectures, and you will come to
understand the role of proof in the elementary classroom.] • make and investigate
mathematical conjectures; [This is something children do naturally about the
world. Much of this develops from looking for and making sense of patterns.] •
develop and evaluate mathematical arguments and proofs; [Formal proofs don't
happen until high school, but children can construct informal proofs.] • select and
use ...

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

Author: Damon Bahr
Publisher: Cengage Learning
ISBN: 0618928170
Size: 56.74 MB
Format: PDF, ePub
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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.

Mathematics For Elementary School Teachers A Process Approach

Author: Mark A. Freitag
Publisher: Cengage Learning
ISBN: 128552876X
Size: 76.86 MB
Format: PDF, Docs
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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 Emergence Of Mathematical Meaning

Author: Paul Cobb
Publisher: Routledge
ISBN: 1136486100
Size: 17.99 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 ... 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 ... is called an argument. In order to sufficiently
reconstruct an argument, the participants or observer must recall these
interaction processes.

The Mathematics Education Of Elementary Teachers

Author: Lynn C. Hart
Publisher: IAP
ISBN: 1681235749
Size: 24.52 MB
Format: PDF, ePub, Docs
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In the first chapter we make the argument that elementary mathematics is not
trivial and indeed can be quite rigorous. We provide a few examples of the deep
and profound understandings that elementary teachers need to teach K–5
mathematics. MET II raises the question “what kinds of problems might
prospective or practicing elementary teachers work on in coursework?” (CBMS,
2012, p. 24) and provides a handful of brief examples. This notion of
mathematical tasks is critical to the ...