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The Xs and Whys of Algebra

Key Ideas and Common Misconceptions

Anne Collins (author) Linda Dacey (author)

ISBN: 9781571108579

Publication Date: Dec 2011

Format: Other printed item

In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. This emphasises five essential algebraic concepts: using variables meaningfully, using multiple representations for expressions, connecting algebra with number, connecting algebra with geometry, and manipulating symbols with understanding.
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In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In The Xs and Whys of Algebra: Key Ideas and Common Misconceptions, Anne Collins and Linda Dacey provide a set of thirty research-based modules designed to engage all students in mathematical learning that develops conceptual understanding, addresses common misconceptions, and builds key ideas that are essential to future learning.

For use in seventh- to ninth-grade courses focused on an introduction to formal algebra, this flipchart emphasises five essential algebraic concepts: using variables meaningfully; using multiple representations for expressions; connecting algebra with number; connecting algebra with geometry; and manipulating symbols with understanding. The thirty research-based modules in this spiral-bound flipchart are designed to engage all students in mathematical learning that develops conceptual understanding, addresses common misconceptions, and builds key ideas essential to future learning.

Following the recommendations of the National Council of Teachers of Mathematics and the Common Core State Standards, the modules at this level are organised into three sections: Expressions, Equations, and Functions. Each module begins with the identification of its mathematical focus and the potential challenges and misconceptions associated with those ideas. The "In the Classroom" section then suggests instructional strategies and specific activities to implement with students. The "Meeting Individual Needs" section offers ideas for adjusting the activities to reach a broader range of learners. All modules are supported by one or more reproducibles (located in the appendix), and the "References/Further Reading" section provides resources for enriching your knowledge of the topic and gathering more ideas.

Teachers will want to keep this resource next to their plan book so they will have these ideas at their fingertips throughout the year.

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In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In The Xs and Whys of Algebra: Key Ideas and Common Misconceptions, Anne Collins and Linda Dacey provide a set of thirty research-based modules designed to engage all students in mathematical learning that develops conceptual understanding, addresses common misconceptions, and builds key ideas that are essential to future learning.

For use in seventh- to ninth-grade courses focused on an introduction to formal algebra, this flipchart emphasises five essential algebraic concepts: using variables meaningfully; using multiple representations for expressions; connecting algebra with number; connecting algebra with geometry; and manipulating symbols with understanding. The thirty research-based modules in this spiral-bound flipchart are designed to engage all students in mathematical learning that develops conceptual understanding, addresses common misconceptions, and builds key ideas essential to future learning.

Following the recommendations of the National Council of Teachers of Mathematics and the Common Core State Standards, the modules at this level are organised into three sections: Expressions, Equations, and Functions. Each module begins with the identification of its mathematical focus and the potential challenges and misconceptions associated with those ideas. The "In the Classroom" section then suggests instructional strategies and specific activities to implement with students. The "Meeting Individual Needs" section offers ideas for adjusting the activities to reach a broader range of learners. All modules are supported by one or more reproducibles (located in the appendix), and the "References/Further Reading" section provides resources for enriching your knowledge of the topic and gathering more ideas.

Teachers will want to keep this resource next to their plan book so they will have these ideas at their fingertips throughout the year.

Pages 76
Date Published 30 Dec 2011
Publisher Stenhouse Publishers
Subject/s Education  
Anne Collins is the director of the Mathematics Program at Lesley University.||Linda Dacey is the professor of mathematics and education at Lesley University

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