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Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students' struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics' (NCTM) call to better link research and practice by capturing what we have learned about students' algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their...

Algebra is the gatekeeper to college and careers. Students often struggle to understand the transition from the concrete world of arithmetic and numbers to the abstract world of algebra and letters. Based on research on misconceptions that students often are challenged with as they try to learn algebra, the Center for Algebraic Thinking (algebraicthinking.org) has created multiple iPad apps to address some of those struggles. This book guides teachers in using those apps with activities and worksheets that maximize the apps' potential in the classroom. Most apps are available for free from...

Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students' struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics' (NCTM) call to better link research and practice by capturing what we have learned about students' algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their...