""To truly engage in mathematics is to become curious and
intrigued about regularities and patterns, then describe and
explain them. A focus on the behavior of the operations allows
students starting in the familiar territory of number and
computation to progress to true engagement in the discipline of
mathematics.""
-Susan Jo Russell, Deborah Schifter, and Virginia Bastable
Algebra readiness: it's a topic of concern that seems to pervade
every school district. How can we better prepare elementary
students for algebra? More importantly, how can we help "all"
children, not just those who excel in math, become ready for later
instruction? The answer lies not in additional content, but in
developing a way of thinking about the mathematics that underlies
both arithmetic and algebra. "Connecting Arithmetic to Algebra"
invites readers to learn about a crucial component of algebraic
thinking: investigating the behavior of the operations.
Nationally-known math educators Susan Jo Russell, Deborah Schifter,
and Virginia Bastable and a group of collaborating teachers
describe how elementary teachers can shape their instruction so
that students learn to: *notice and describe consistencies across
problems *articulate generalizations about the behavior of the
operations *develop mathematical arguments based on representations
to explain why such generalizations are or are not true. Through
such work, students become familiar with properties and general
rules that underlie computational strategies-including those that
form the basis of strategies used in algebra-strengthening their
understanding of grade-level content and at the same time preparing
them for future studies. Each chapter is illustrated by lively
episodes drawn from the classrooms of collaborating teachers in a
wide range of settings. These provide examples of posing problems,
engaging students in productive discussion, using representations
to develop mathematical arguments, and supporting both students
with a wide range of learning profiles. PLCs and book-study groups
Save $47.25 when you purchase 15 copies with the Book Study Bundle.
Staff Developers: Available online, the Course Facilitator's Guide
provides math leaders with tools and resources for implementing a
Connecting Arithmetic to Algebra workshop or preservice course. For
information on the PD course offered through Mount Holyoke College,
download the flyer.
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