But Why Does It Work

Author: Susan Jo Russell
Publisher: Heinemann Educational Books
ISBN: 9780325081144
Size: 63.85 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 ...

Teachers Professional Development And The Elementary Mathematics Classroom

Author: Sophia Cohen
Publisher: Routledge
ISBN: 113563226X
Size: 55.45 MB
Format: PDF, Mobi
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when asked in March what the importance might be for students of being in a
class in which student ideas are expressed. ... Abby talks about an activity that
she does with her students daily. ... but they're showing that they already know
from previous experience. ... 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 ...

Proving In The Elementary Mathematics Classroom

Author: Andreas J. Stylianides
Publisher: Oxford University Press
ISBN: 019103472X
Size: 47.54 MB
Format: PDF, ePub, Docs
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To conclude, given how large a part calculation work occupies in the elementary
mathematics curriculum of different countries, and ... function that an elevated
place of proving in calculation work can play in elementary school mathematics.
... The definition of proof that I discussed in Chapter 2 breaks a mathematical
argument down into three components: the set of ... But this is not a problem
perse, for, as we saw in Episode D, the limitations in the set of accepted
statements during a ...

Best Practices For Elementary Classrooms

Author: Randi Stone
Publisher: Skyhorse Publishing, Inc.
ISBN: 1632209594
Size: 39.48 MB
Format: PDF, Docs
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In Geoblock Match-Up, you might witness two girls working to fill a game board
together; the boys may have competed and moved on! ... The other three may not
have verbalized what was going on, but they will tend to copy this child's visual
examples. ... in analyzing characteristics and properties of 2-D and 3-D geometric
shapes and developing mathematical arguments about geometric relationships!

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

Author: Damon Bahr
Publisher: Cengage Learning
ISBN: 0618928170
Size: 36.25 MB
Format: PDF, ePub, Mobi
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Mathematics. How does a teacher lead a student-led lesson? How does he
create such a learning environment? ... one of which was toward “classrooms as
mathematical communities—away from classrooms as simply a collection of
individuals” (p. 3). ... and mathematical dispositions; and by consistently
expecting and encouraging students to— □ work independently or ... 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: 60.93 MB
Format: PDF, ePub, 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 ... In the elementary
classroom, children come to an intuitive understanding of congruence and
similarity by ... and similarity, they use the ideas to identify geometric properties,
develop mathematical arguments, and solve problems. ... Consequently, if we
understand how the constructions work, we get a better sense of how these ideas
fit together.

Teaching And Learning Proof Across The Grades

Author: Despina A. Stylianou
Publisher: Routledge
ISBN: 1135856753
Size: 37.30 MB
Format: PDF, ePub, Mobi
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Elementary. Grades. Proving is a human activity that extends beyond formal
mathematics. While there are rules of logic ... Even young children, without formal
training in logic and deduction, exhibit an innate curiosity to know why things
work as they do, ... need to be convinced of, but also appreciating how the nature
of the argument might change relative to the audience. ... arguments that they can
come to appreciate the notion of an acceptable argument in a mathematics
classroom ...

Geometry As Objective Science In Elementary School Classrooms

Author: Wolff-Michael Roth
Publisher: Routledge
ISBN: 1136732209
Size: 45.41 MB
Format: PDF
View: 7465
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Historically, however, geometry as mathematical science arose from the
prescientific, intuitively given world, from the “first very ... But, even though the
children today donot rediscover geometry in the waythat the ancient Greek did,
they ... In this chapter,I describe how measurement emergesin this mathematics
classroom at different places andtimes ... Theemergence of measurement istied
to the practical, experienced needto be accountable for any claim,statement, or
argument made.

Descartes Dream

Author: Philip J. Davis
Publisher: Courier Corporation
ISBN: 0486442527
Size: 31.99 MB
Format: PDF, ePub, Mobi
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Part 2: Rhetoric in Mathematics We turn now from rhetorical mathematics to
mathematical rhetoric. ... (the talk or writing of mathematicians in the pursuit of
their work as mathematicians) and see what rhetorical aspects we can identify. ...
The claim made in the classroom, in the textbook, and in a good deal of
philosophical writing, is that mathematical truth is ... that. . . ,” “By an obvious
generalization . . . ,” “a long, but elementary, computation, which I leave to the
student, will verify that .