But Why Does It Work

Author: Susan Jo Russell
Publisher: Heinemann Educational Books
ISBN: 9780325081144
Size: 38.10 MB
Format: PDF, Mobi
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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: 26.45 MB
Format: PDF, ePub, Docs
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Sometimes, as in the next quote from Abby, teachers notice that the children's
confidence allows them to try out new mathematical terrain. Abby talks about an
activity that she does with her students daily. It is an activity that comes from the
Investigations curriculum materials (TERC, 1998). Each day the children spend a
few minutes writing equations for the number of the day. The first day the number
is 1; each successive day the children work on the next whole number. In Abby's
class ...

Proving In The Elementary Mathematics Classroom

Author: Andreas J. Stylianides
Publisher: Oxford University Press
ISBN: 019103472X
Size: 73.60 MB
Format: PDF
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To conclude, given how large a part calculation work occupies in the elementary
mathematics curriculum of different countries, and also the powerful aspect of
mathematical sense-making that proving can bring to this work, one may talk
about a transformative ... The definition of proof that I discussed in Chapter 2
breaks a mathematical argument down into three components: the set of
accepted statements, the modes of argumentation, and the modes of argument

The Mathematical Education Of Teachers

Publisher: American Mathematical Soc.
ISBN: 9780821828991
Size: 13.49 MB
Format: PDF
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More abstractly, how does the source of Josh's error connect to additive
procedures, the distributive property, multiplication algorithms, multiplication of
binomials, and so on? ... The key to turning even poorly prepared prospective
elementary teachers into mathematical thinkers is to work from what they do
know — the mathematical ideas they hold, the skills they possess, and the
contexts in which these are understood — so they can move from where they are
to where they need to go.

Beyond Classical Pedagogy

Author: Terry Wood
Publisher: Routledge
ISBN: 1135658714
Size: 64.28 MB
Format: PDF, Kindle
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Teaching Elementary School Mathematics Terry Wood, Barbara Scott Nelson,
Janet E. Warfield. teachers. But if ... Wood and Turner-Vorbeck report that in all
three cases, classroom discussion was conceived of as providinga contextin
which students would develop mathematical understanding through thinking
andreasoning. Butthe nature of the discourse between teacher and students
becomes cognitively more complex and demanding in the inquiryand argument
formsof discourse.

Contemporary Curriculum

Author: John D. McNeil
Publisher: John Wiley & Sons
ISBN: 1118916514
Size: 18.55 MB
Format: PDF, ePub
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A backlash led to a revision of the math standards whereby content was clarified
by grade level and teachers were given examples of problems, student work, and
illustrative classroom dialogues.5 In higher education, the supremacy of calculus
in the freshman and sophomore mathematics curriculum is being challenged in
part ... Reason and argument—not the teacher or the textbook—as the basis for
an idea's legitimacy is something new in the elementary mathematics classroom.

Mathematics For Elementary School Teachers A Process Approach

Author: Mark A. Freitag
Publisher: Cengage Learning
ISBN: 128552876X
Size: 49.52 MB
Format: PDF, Kindle
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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.

Second International Handbook Of Mathematics Education

Author: Alan Bishop
Publisher: Springer Science & Business Media
ISBN: 9401002738
Size: 74.36 MB
Format: PDF, Kindle
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elements of classroom life that researchers seek to understand. But when does it
matter ... Knowing mathematics for doing research involves knowledge of specific
ideas and practices: the importance of the unit in fractions or what constitutes a
mathematical argument, for instance. ... Stodolsky, in her 1988 book The Subject
Matters, investigated patterns of instruction in upper elementary classrooms and
uncovered sharp differences in those patterns as a function of the subject matter.

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

Author: Damon Bahr
Publisher: Cengage Learning
ISBN: 0618928170
Size: 23.97 MB
Format: PDF, Kindle
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inhibit cortical function, affecting perception, emotional response, learning and
decision making. ... and. Teaching. of. 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 was toward “classrooms as
mathematical communities—away from classrooms as simply a collection of
individuals” (p. 3).

The Mathematics Enthusiast Issue

Author: Bharath Sriraman
Publisher: IAP
ISBN: 1681236346
Size: 69.15 MB
Format: PDF
View: 3198
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distinction between what counts as common content knowledge and specialized
content knowledge for teaching. In our initial work ... 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 ... For example, at the elementary
level, we chose to group explanations and justifications together as an object
given the nature of mathematical arguments typically constructed at the
elementary level.