A collaboration between a seasoned math teacher and a research mathematician, this resource offers balanced instructional ideas based on student intellectual engagement and skilled teacher leadership. It is solidly grounded in many areas of classroom practice, but rather than serving as a prescriptive how-to manual, the authors invite reflection and discussion across classrooms and math departments, much in the way you would share ideas in the teachers’ lounge or across the table at a conference. Chapters offer practical suggestions and concrete examples to teachers of grades 6–12 on just about every aspect of the job: manipulatives, technology, lesson planning, group work, classroom discussion, and more. In opposition to the idea of a “one-size-fits-all” curriculum, the authors explain how to integrate teaching techniques: formal and informal, student-centered and teacher-led, experiential and rigorous. Chapters also include vignettes, as well as many links to curricular materials. Ideal for math educators of grades 6–12, this book is both comprehensive in its strategies and sensitive to the complexities of teaching. For these reasons, math departments, coaches, teacher leaders, and faculty at other levels can also easily reference its content where relevant. This book offers multiple entry points for teachers and departments to discuss and enhance their practice, making it essential reading for any math educator or professional development opportunity.

Teachers struggle every day to bring quality instruction to their students. Beset by lists of content standards and accompanying "high-stakes" accountability tests, many educators sense that both teaching and learning have been redirected in ways that are potentially impoverishing for those who teach and those who learn. Educators need a model that acknowledges the centrality of standards but also ensures that students truly understand content and can apply it in meaningful ways. For many educators, Understanding by Design addresses that need. Simultaneously, teachers find it increasingly difficult to ignore the diversity of the learners who populate their classrooms. Few teachers find their work effective or satisfying when they simply "serve up" a curriculum—even an elegant one—to students with no regard for their varied learning needs. For many educators, Differentiated Instruction offers a framework for addressing learner variance as a critical component of instructional planning. In this book the two models converge, providing readers fresh perspectives on two of the greatest contemporary challenges for educators: crafting powerful curriculum in a standards-dominated era and ensuring academic success for the full spectrum of learners. Each model strengthens the other. Understanding by Design is predominantly a curriculum design model that focuses on what we teach. Differentiated Instruction focuses on whom we teach, where we teach, and how we teach. Carol Ann Tomlinson and Jay McTighe show you how to use the principles of backward design and differentiation together to craft lesson plans that will teach essential knowledge and skills for the full spectrum of learners. Connecting content and kids in meaningful ways is what teachers strive to do every day. In tandem, UbD and DI help educators meet that goal by providing structures, tools, and guidance for developing curriculum and instruction that bring to students the best of what we know about effective teaching and learning.

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

For decades teachers and parents have accepted the judgment that some students just aren't good at math. John Mighton-the founder of a revolutionary math program designed to help failing math students-feels that not only is this wrong, but that it has become a self-fulfilling prophecy. A pioneering educator, Mighton realized several years ago that children were failing math because they had come to believe they were not good at it. Once students lost confidence in their math skills and fell behind, it was very difficult for them to catch up, particularly in the classroom. He knew this from experience, because he had once failed math himself. Using the premise that anyone can learn math and anyone can teach it, Mighton's unique teaching method isolates and describes concepts so clearly that students of all skill levels can understand them. Rather than fearing failure, students learn from and build on their own successes and gain the confidence and self-esteem they need to be inspired to learn. Mighton's methods, set forth in The Myth of Ability and implemented in hundreds of Canadian schools, have had astonishing results: Not only have they helped children overcome their fear of math, but the resulting confidence has led to improved reading and motor skills as well. The Myth of Ability will transform the way teachers and parents look at the teaching of mathematics and, by extension, the entire process of education.

A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."

Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to * Improve deep-seated negative attitudes toward math. * Plan lessons with the goal of "achievable challenge" in mind. * Reduce mistake anxiety with techniques such as errorless math and estimation. * Teach to different individual learning strengths and skill levels. * Spark motivation. * Relate math to students' personal interests and goals. * Support students in setting short-term and long-term goals. * Convince students that they can change their intelligence. With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included—providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!