The text offers a unique and simplified four-step model for teaching mathematics to PreK--12 students that helps teachers consistently relate what learners experience in the classroom to concrete, real-world applications.

Today's classrooms embrace students of all abilities, and David A. Sousa's latest work provides the most up-to-date information and insights on how to work effectively with each one of them.

Make formative assessment work for you—and your math students! Finally, formative assessment that adds up! Bringing Math Students Into the Formative Assessment Equation is the ultimate resource for helping teachers implement formative assessment in the middle school mathematics classroom. And it’s much more than that. With this research-based, teacher-tested guide, you won’t just learn effective teaching strategies—you’ll turn your students into self-regulated learners. They’ll monitor and assess their own progress—and communicate to you about it! Features include: A clear and manageable six-aspect instructional model Detailed strategies for helping students own their successes Real-life examples from middle school mathematics teachers Useful resources and a companion website to help you implement formative assessment in your classroom Formative assessment isn’t just for teachers anymore. With the help of this essential resource, you’ll work together with your students toward a common goal of math success. "This book is outstanding. I would recommend it to any math educator. The depth of research integrated into practice is extensive and, as a result, it is the most practical book I have come across related to formative assessment and mathematics The self-regulation aspects, as well as the ownership and involvement emphasized in the book, went beyond the traditional cognitive strategies endorsed in most books." Marc Simmons, Principal Ilwaco Middle School, Ocean Beach School District, Long Beach, WA "The ideas in this book are brought to life with examples of teachers and students in the classroom. The teacher voices, comments, and quotes lend credibility and are a big component of the book’s strengths as well as the visuals and graphics." Rita Tellez, Math Coordinator Ysleta Independent School District, El Paso, TX

Practical "brain-aware" facilitation tailored to the adult brain Facilitating Learning with the Adult Brain in Mind explains how the brain works, and how to help adults learn, develop, and perform more effectively in various settings. Recent neurobiological discoveries have challenged long-held assumptions that logical, rational thought is the preeminent approach to knowing. Rather, feelings and emotions are essential for meaningful learning to occur in the embodied brain. Using stories, metaphors, and engaging illustrations to illuminate technical ideas, Taylor and Marienau synthesize relevant trends in neuroscience, cognitive science, and philosophy of mind. Readers unfamiliar with current brain discoveries will enjoy an informative, easy-to-read book. Neuroscience fans will find additional material designed to supplement their knowledge. Many popular publications on brain and learning focus on school-aged learners or tend more toward anatomical description than practical application. This book provides facilitators of adult learning and development a much-needed resource of tested approaches plus the science behind their effectiveness. Appreciate the fundamental role of experience in adult learning Understand how metaphor and analogy spark curiosity and creativity Alleviate adult anxieties that impede learning Acquire tools and approaches that foster adult learning and development Compared with other books on brain and learning, this volume includes dozens of specific examples of how experienced practitioners facilitate meaningful learning. These "brain-aware" approaches can be adopted and adapted for use in diverse settings. Facilitating Learning with the Adult Brain in Mind should be read by advisors/counselors, instructors, curriculum and instructional developers, professional development designers, corporate trainers and coaches, faculty mentors, and graduate students—in fact, anyone interested in how adult brains learn.

The system won’t do it for us. But we have each other. In The Imperfect and Unfinished Math Teacher: A Journey to Reclaim Our Professional Growth, master storyteller Chase Orton offers a vulnerable and courageous grassroots guide that leads K-12 math teachers through a journey to cultivate a more equitable, inclusive, and cohesive culture of professionalism for themselves...what he calls professional flourishment. The book builds from two bold premises. First, that as educators, we are all naturally imperfect and unfinished, and growth should be our constant goal. Second, that the last 40 years of top-down PD efforts in mathematics have rarely supplied teachers with what they need to equitably grow their practice and foster classrooms that are likewise empowered, inclusive, and cohesive. With gentle humanity, this book inspires teachers to break down silos, observe each others’ classrooms, interrogate their own biases, and put students at the center of everything they do in the math classroom. This book: Weaves raw and authentic stories—both personal and those from other educators—into a relatable and validating narrative Offers interactive opportunities to self-reflect, build relationships, seek new vantage on our teaching by observing others’ classrooms and students, and share and listen to other’s stories and experiences Asks teachers to give and accept grace as they work collaboratively to better themselves and the system from within, so that they can truly serve each of their students authentically and equitably Implementing the beliefs and actions in this book will position teachers to become more active partners in each other’s professional growth so that they can navigate the obstacles in their professional landscape with renewed focus and a greater sense of individual and collective efficacy. It equips teachers—and by extension, their students—to chart their own course and author their own equitable and joyful mathematical and professional stories.

During his years working as an instructional coach for a national network of schools, Geoff Krall had the chance to witness several inspirational moments when math class comes alive for middle or high school students - when it is challenging but also fun, creative, and interactive. In Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation, Krall documents the essential ingredients that produce these sorts of moments on a regular basis and for all students. They are Academic Safety, Quality Tasks, and Effective Facilitation. Academic Safety: Krall implements equitable classroom experiences that help fight stigmas associated with race and gender in schools. This allows students to feel socially and emotionally secure while nurturing their identities as mathematicians and increasing engagement during classroom discussions Quality Tasks: Teachers can adapt or create dynamic, student-centered lessons that break down math into small, manageable sections, removing the frustrations felt by students who aren't considered math people Effective Facilitation: This book shows how to incorporate teaching moves and math routines designed for engagement, persistence, and interactivity. Teachers can allow students to explore safely while maintaining consistent classroom expectations. "My work as a math instructional coach for a network of schools has afforded me the unique opportunity to visit exceptional teachers across the country, documenting their tasks, teaching moves, and academically safe learning environments. You'll experience dispatches from these effective classrooms in which we'll observe how teachers attend to all three elements that make up the ecosystem." - Geoff Krall from his book, Necessary Conditions.

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Guide your staff to a clear understanding of cognitive research and its practical applications for the classroom! This essential training guide to the new third edition of David Sousas How the Brain Learns, Third Edition provides staff developers and turnkey teachers with the tools necessary to facilitate a workshop or study group based on the bestselling book. Chapter-by-chapter topics focus on brain research that relates to teaching and learning and how this research can be translated into practical classroom strategies, and explore in depth Basic brain facts Information processing Memory, retention, and learning Transfer of knowledge Hemispheric preferences and teaching to the whole brain Creativity Higher-order thinking skills Key activities from the book include engaging in action research, determining sensory preferences, developing mnemonics, using metaphors to enhance knowledge transfer, making a concept map, putting the arts into lessons, differentiating complexity and difficulty, and putting lesson components together. Highlights for the facilitator include Chapter summaries Supplemental information Discussion questions Timed activities Journal writing exercises Sample workshop agendas Sample workshop evaluation form The Facilitators Guide to How the Brain Learns, Third Edition, helps you effectively lead others through dialogue, reflection, and application of Sousas work in a number of different settings. Now you can help guide your faculty and colleagues to a better understanding and application of the most current cognitive research available for educators!

"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

This exciting and unique book presents practical, immediately applicable ideas for differentiating instruction in maths in the elementary classroom. It explains in detail the process of differentiation in maths, beginning with lesson planning, through implementation of a wide variety of research-proven instructional strategies and tactics. The ′Ideas from Teachers′ feature, located in various chapters, includes instructional tactics provided by teachers that exemplify the differentiation process. Also included are the ′To Ten Tactics′ lists which provide simple, immediately applicable tactics that can be easily implemented in almost every classroom.