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"Parallel Curriculum Units for Mathematics, Grades 6–12 combines four essential models for improving student understanding and growth in mathematics. The lessons provided in the textbook build on students′ abilities, so they can see all parts of a math problem and are able to tackle and understand it at various levels." —Elizabeth Alvarez, Assistant Principal John C. Dore Elementary, Chicago, IL Maximize your mathematics curriculum to challenge all students This collection of lessons, building on material presented in the best-selling The Parallel Curriculum, is written by experienced teachers who provide innovative and challenging learning opportunities for students in Grades 6–12. The four sample units focus on fractions, linear programming, geometry, and quadratic relationships. The authors provide user-friendly methods for creating high-quality lessons and demonstrate how to differentiate these lessons for the benefit of all students. Included are field-tested and standards-based strategies that guide students through: Understanding secondary-level mathematics concepts Discovering connections between mathematics and other subjects Developing critical thinking skills Connecting mathematics learning to society through the study of real-world data, proportional reasoning, and problem solving Each unit includes subject matter background, a content framework, study components, teacher reflections, and sample lessons. Learn from the experts and enhance your mathematics curriculum with these proven strategies.
Sample units demonstrate how to use the Parallel Curriculum Model to design high-quality curriculum in language arts. Each unit includes instructions, assessments, and skills/standards.
Covering history, geography, and sociology, these sample lessons and units show how to use the Parallel Curriculum Model to provide rigorous learning opportunities for students in social studies.
Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.
"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.
"The Parallel Curriculum Model helps teachers not only strengthen their knowledge and pedagogy, but also rediscover a passion for their discipline based on their deeper, more connected understanding. Our students think critically and deeply at a level I have never before witnessed." —Tony Poole, Principal Sky Vista Middle School, Aurora, CO "What makes this book unique is its insistence on the development of conceptual understanding of content and its focus on the abilities, interests, and learning preferences of each student." —H. Lynn Erickson, Educational Consultant Author of Stirring the Head, Heart, and Soul "The approach honors the integrity of the disciplines while remaining responsive to the diversity of learners that teachers encounter." —Jay McTighe, Educational Consultant Coauthor of Understanding by Design Engage students with a rich curriculum that strengthens their capacity as learners and thinkers! Based on the premise that every learner is somewhere on a path toward expertise in a content area, this resource promotes a curriculum model for developing the abilities of all students and extending the abilities of students who perform at advanced levels. The Parallel Curriculum Model (PCM) offers four curriculum parallels that incorporate the element of Ascending Intellectual Demand to help teachers determine current student performance levels and develop intellectual challenges to move learners along a continuum toward expertise. Updated throughout and reflecting state and national content standards, this new edition: Helps teachers design learning experiences that develop PreK–12 learners′ analytical, critical, and creative thinking skills in each subject area Provides a framework for planning differentiated curriculum Includes examples of curriculum units, sample rubrics, and tables to help implement the PCM model The Parallel Curriculum effectively promotes educational equity and excellence by ensuring that all students are adequately challenged and supported through a multidimensional, high-quality curriculum.
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.