Do your students need more opportunities do develop number sense and reasoning? Are you looking to get your students energized and talking about mathematics? Have you wondered how practical, replicable, and engaging activities would complement your mathematics instruction?
This guide answers the question “What could I do differently?” by taking cues from some of the most effective types of routines commonly used to engage students in reasoning while developing and reinforcing their number sense. This book offers 20 different routines, all of which include content examples, extensions, and variations for grades 6–8. It includes a year’s worth of daily instructional material that you can use each class period to promote student reasoning and number sense. The routines in this book will help students:
- Frequently revisit essential mathematical concepts
- Foster and shore up conceptual understanding
- Engage in mental mathematics, leading to efficiency and fluency
- Engage in mathematical discourse by constructing viable arguments and critiquing the reasoning of others
- Reason mathematically, which can improve performance on high-stakes assessments
- Move learning beyond “correctness” by valuing mistakes and discourse to encourage a growth mindset
From trusted authors and experts John SanGiovanni and Eric Milou, this teacher-friendly resource will give you all the tools and tips you need to reinvent those critical first five or ten minutes of math class for the better!
REVIEWS
“Too often, middle school and high school teachers say, ‘These students are lacking number sense.’ These books will help secondary teachers with good pedagogy to help build number sense in a creative way. John SanGiovanni and Eric Milou have created short routines that are teacher-friendly, with lots of examples, and easy to adapt to each teacher’s needs. These are the books that secondary teachers have been waiting for to help engage students in building number sense.”
Pamela J. Dombrowski, Secondary Math Specialist
Geary County School District, Junction City, KS
“Thank you, John and Eric, for creating this practical resource that supports and guides middle school mathematics teachers in redesigning beginnings of mathematics lessons to capture attention and engage ALL students in mathematical reasoning, mental mathematics, and discourse in order to develop deeper understandings of number and improve overall mathematics learning. This book is a necessary resource for EVERY middle school mathematics teacher!”
Becky Walker
Wisconsin Mathematics Learning, Appleton WI
“The Routines and Examples provided in this book will prompt teachers to rethink how they begin class in order to transform the first 5–10 minutes to be more meaningful and relevant for students.”
John W. Staley
Baltimore County Public Schools, Baltimore MD
"Every middle school math teacher needs this resource! SanGiovanni and Milou offer a powerful solution to an age-old problem: how to effectively start a lesson. Their lesson opening “low floor/high ceiling” tasks will immediately motivate and engage students in mathematical reasoning and sense making – the critical thinking and problem solving skills students most need today."
Matt Larson, Ph.D.
Past-President, National Council of Teachers of Mathematics
"This book, these Routines, will jump start your mathematics lessons as students use reasoning to truly develop and deepen their sense of number. What a great resource! Use it – every day!"
Francis (Skip) Fennell, Professor of Education and Graduate and Professional Studies Emeritus, Project Director Elementary Mathematics Specialists and teacher Leaders Project-McDaniel College
Past President, AMTE and NCTM