Same But Different Math is a powerful routine to help students improve their mathematical reasoning, clarify concepts and make critical connections between ideas. Popular math consultant Sue Looney takes you step by step through implementation so you can easily add this routine into your toolbox. She establishes the rationale for the routine and then walks you through specific examples of when to use it, how to use it and how to make specific connections for learners. Throughout the book, you’ll find examples of lessons with images from a range of grade levels and mathematical content to show you the routine in action. There are also exercises for you to complete while reading to help you apply what you’ve learned, as well as a handy planning section with a template and resource links. In addition, there are Appendices featuring additional examples, which you can download from our website www.routledge.com/9781032126555 for classroom use. With the helpful features in this book, you’ll come away confidently able to implement this routine, bringing all your students to deeper levels of understanding in math.

Same But Different is an interactive book where you find what is the same BUT what is also different about each set of images. This whimsical pictures are sure to engage curious minds!

Sixteen columns from the French edition of Scientific American feature oddball characters and wacky wordplay in a mathematical wonderland of puzzles and games that also imparts significant mathematical ideas. 1992 edition.

This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

This instructional math framework provides an environment for mathematics that fosters mathematical thinking and understanding while meeting the needs of all students. This updated math resource takes an innovative approach to mathematics instruction and uses the same teaching philosophies for guided reading. Educators will learn how to effectively utilize small-group and whole-group instruction, manipulatives, math warm-ups, and Math Workshop to engage K-12 students in connecting mathematics to their own lives. Maximize the impact of your instruction with ideas for using ongoing assessment and differentiation strategies. This 2nd edition guided math resource written by Laney Sammons provides practical guidance and sample lessons for grade level bands K-2, 3-5, 6-8, and 9-12. Promote a classroom environment of numeracy and mathematical discourse with this essential professional resource for K-12 math teachers!

Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

As a secondary mathematics teacher, you know that students are different and learn differently. And yet, when students enter your classroom, you somehow must teach these unique individuals deep mathematics content using rigorous standards. The curriculum is vast and the stakes are high. Is differentiation really the answer? How can you make it work? Nationally recognized math differentiation expert Nanci Smith debunks the myths, revealing what differentiation is and isn’t. In this engaging book Smith reveals a practical approach to teaching for real learning differences. You’ll gain insights into an achievable, daily differentiation process for ALL students. Theory-lite and practice-heavy, this book shows how to maintain order and sanity while helping your students know, understand, and even enjoy doing mathematics. Classroom videos, teacher vignettes, ready-to-go lesson ideas and rich mathematics examples help you build a manageable framework of engaging, sense-making math. Busy secondary mathematics teachers, coaches, and teacher teams will learn to Provide practical structures for assessing how each of your students learns and processes mathematics concepts Design, implement, manage, and formatively assess and respond to learning in a differentiated classroom Plan specific, standards-aligned differentiated lessons, activities, and assessments Adjust current instructional materials and program resources to better meet students′ needs This book includes classroom videos, in-depth student work samples, student surveys, templates, before-and-after lesson demonstrations, examples of 5-day sequenced lessons, and a robust companion website with downloadables of all the tools in the books plus other resources for further planning. Every Math Learner, Grades 6-12 will help you know and understand your students as learners for daily differentiation that accelerates their mathematics comprehension. "This book is an excellent resource for teachers and administrators alike. It clearly explains key tenants of effective differentiation and through an interactive approach offers numerous practical examples of secondary mathematics differentiation. This book is a must read for any educator looking to reach all students." —Brad Weinhold, Ed.D., Assistant Principal, Overland High School