But Why Does It Work

Author: Susan Jo Russell
Publisher: Heinemann Educational Books
ISBN: 9780325081144
Size: 73.18 MB
Format: PDF
View: 1940
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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 ...

Connecting Arithmetic To Algebra

Author: Susan Jo Russell
Publisher: Heinemann Educational Books
ISBN: 9780325041919
Size: 63.97 MB
Format: PDF, Kindle
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PLCs and book-study groups! Save $47.25 when you purchase 15 copies with the Book Study Bundle.

Proving In The Elementary Mathematics Classroom

Author: Andreas J. Stylianides
Publisher: Oxford University Press
ISBN: 0198723067
Size: 42.52 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 classroom community (set of
accepted statements) that are true and available without further justification; 2. it
employs forms of reasoning (modes of argumentation) that are valid and known
to, or within ...

The Mathematical Education Of Teachers

Publisher: American Mathematical Soc.
ISBN: 9780821828991
Size: 20.76 MB
Format: PDF
View: 2749
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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.

Teachers Professional Development And The Elementary Mathematics Classroom

Author: Sophia Cohen
Publisher: Routledge
ISBN: 113563226X
Size: 20.82 MB
Format: PDF
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This kind of seminar community is the hub of the teachers' professional world.
The character of a DMI seminar community—its supportiveness, agenda, and
rigor—owes a good deal to the three core aspects of the semi- nar set out in
chapter 1: (a) the solidity and complexity of the mathematics, (b) the concurrent
study of teachers' and students' mathematics, and (c) the parallel between the
seminar's pedagogy and envisioned elementary classroom pedagogy. In that first
chapter, ...

Elementary And Middle School Mathematics

Author: John A. Van de Walle
ISBN: 9780134095912
Size: 49.71 MB
Format: PDF, Mobi
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The text covers concepts and procedures specific to mathematical topics encountered in grades K-8, using real experiences and assessment techniques to address the foundations of how children learn.

Mathematical Models For Teaching

Author: Ann Kajander
Publisher: Canadian Scholars’ Press
ISBN: 1551305569
Size: 39.58 MB
Format: PDF, ePub
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This knowledge is indeed mathematical; Ball, Thames, and Phelps (2008) claim
that “deciding whether a method or procedure would work in general[,] ...
determining the validity of a mathematical argument, or selecting a
mathematically appropriate representation ... requires mathematical knowledge
and skill, not knowledge of students or teaching” (p. 398). Such specialized
mathe- matical knowledge helps teachers construct good classroom problems
while antici- pating students' ...

The Construction Of New Mathematical Knowledge In Classroom Interaction

Author: Heinz Steinbring
Publisher: Springer Science & Business Media
ISBN: 0387242538
Size: 39.51 MB
Format: PDF, ePub, Docs
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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. 220ff). As a
consequence it can be stated that in professional mathematical communication,
the contradiction-free conceptual structures and relations dominate and
determine the ideal objects which are not interpreted any further. In contrast to
content related ...

Routines For Reasoning

Author: Grace Kelemanik
Publisher: Heinemann Educational Books
ISBN: 9780325078151
Size: 25.86 MB
Format: PDF, ePub, Docs
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Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines.