1st Edition

Accessible Algebra 30 Modules to Promote Algebraic Reasoning, Grades 7-10

By Anne Collins, Steven Benson Copyright 2017

    Accessible Algebra: 30 Modules to Promote Algebraic Reasoning, Grades 7-10 is for any pre-algebra or algebra teacher who wants to provide a rich and fulfilling experience for students as they develop new ways of thinking through and about algebra.' The book includes 30 lessons that identify a focal domain and standard in algebra, then lays out the common misconceptions and challenges students may face as they work to investigate and understand problems.' Authors Anne Collins and Steven Benson conferred with students in real classrooms as the students explained what problem-solving strategies they were using or worked to ask the right questions that would lead them to a deeper understanding of algebra. Each scenario represents actual instances of an algebra classroom that demonstrate effective teaching methods, real-life student questions, and conversations about the problems at hand. 'Accessible Algebra' works for students at every level. In each lesson, there are sections on how to support struggling students, as well as ways to challenge students who may need more in-depth work. There are also numerous additional resources, including research articles and classroom vignettes.

    Introduction; Expressions; 1: Order of Operations; 2: Writing Expressions from Tables; 3: Growing Patterns; 4: Taxes and Interest; 5: Venn Diagrams and Factor Lattices; 6: Area Expressions; 7: Multiplying Polynomials; 8: Powerful Integers; 9: Absolutely!; 10: Square Root Approximations; Equations; 11: Activity Centers; 12: Balance Beams; 13: Challenge and Intervention Centers; 14: Gauss and Figurate Numbers; 15. Equations in All Forms; 16: Linear Systems; 17: Systems; 18: Proportions on the Cartesian Coordinate Plane; 19: What Is the Better Buy?; 20: Walking Rates; 21: Absolute Value; 22: Nonlinear Explorations; Functions; 23: Functionally Speaking; 24: Number Patterns into Functions; 25: Function Translations; 26: Celsius to Fahrenheit and Back Again; 27: Absolute Value Functions; 28: Modeling Exponentially; 29: Falling to Pieces; 30: Why the Finite Differences Method Works

    Biography

    Anne M. Collins, professor of mathematics and education, is the Director of Mathematics Programs and the Center for Mathematics Achievement at Lesley University. A former member of the board of directors for NCTM, she works with preservice and in-service teachers, helping them deepen their mathematics pedagogical content knowledge. Her research focuses on the impact of formative assessment on student achievement.

    Steven R. Benson is a mathematician and mathematics educator at Lesley University; he has created curriculum and facilitated professional development for pre- and in-service teachers for nearly thirty years. He was the lead author of Ways to Think About Mathematics: Activities and Investigations for Grade 6–12 Teachers (Corwin 2004).