Mathematical Literacy in the Middle and High School Grades gives future and current middle and high school classroom teachers the concepts and practical, hands-on suggestions, activities, lesson plans, skills, and tools they need to enhance and enrich their students' mathematics learning. From its opening overview of the theory behind a variety of new strategies for teaching math to its everyday, concrete assistance, the book helps teachers find and use engrossing ways to introduce math concepts through stories, using hands-on activities to reinforce the concepts. Included are ready-to-use activities busy teachers can incorporate "as is" or adapt to fit their particular classrooms and their students' individual needs.
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.
Typically, most people don’t realize when and how they can use the mathematics they were taught in high school – yet many of the mathematical ideas and skills can be a powerful tool for understanding how the world works. Learning and Teaching for Mathematical Literacy addresses this situation, offering practical strategies for developing a broader vision of mathematical literacy in the classroom and recognising the importance of maintaining these skills into adult life. Linked to the material explored throughout this book, classroom activities and lesson materials are freely available for use via the QR codes included in each chapter. Filled with case studies and classroom activities, chapters tackle several topics: Describing a framework for a broader vision of mathematical literacy – what is it, and why is it important? Teaching mathematical literacy in the classroom Applying mathematical literacy to ‘real life’ scenarios: My dad is buying a new dishwasher. Should he buy the extended warranty on offer? My phone works fine but I've been offered an upgrade. How should I decide whether to take it? The role of technology in teaching mathematical literacy Designing mathematical measures for real-word quantities Firmly grounded by practical applications for the classroom and beyond, this is an essential handbook for any teacher, teaching assistant, or mathematics subject lead who wishes to develop their students’ mathematical literacy skills. This is also an ideal resource for those delivering or enrolled in teacher preparation courses.
IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.
Many K–6 teachers--and students--still think of mathematics as a totally separate subject from literacy. Yet incorporating math content into the language arts block helps students gain skills for reading many kinds of texts. And bringing reading, writing, and talking into the math classroom supports the development of conceptual knowledge and problem solving, in addition to computational skills. This invaluable book thoroughly explains integrated instruction and gives teachers the tools to make it a reality. Grounded in current best practices for both language arts and math, the book includes planning advice, learning activities, assessment strategies, reproducibles, and resources, plus a wealth of examples from actual classrooms.
Literacy and popular culture are intrinsically linked as forms of communication, entertainment, and education. Students are motivated to engage with popular culture through a myriad of mediums for a variety of purposes. Utilizing popular culture to bridge literacy concepts across content areas in K-12 settings offers a level playing field across student groups and grade levels. As concepts around traditional literacy education evolve and become more culturally responsive, the connections between popular culture and disciplinary literacy must be explored. Disciplinary Literacy Connections to Popular Culture in K-12 Settings is an essential publication that explores a conceptual framework around pedagogical connections to popular culture. While highlighting a broad range of topics including academic creativity, interdisciplinary storytelling, and skill development, this book is ideally designed for educators, curriculum developers, instructional designers, administrative officials, policymakers, researchers, academicians, and students.
This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept of mathematical literacy are discussed, highlighting the underlying themes of mathematics as preparation for life after school and mathematical modelling of the real world, and clarifying PISA’s position within this part of the mathematics education territory. The PISA mathematics framework is introduced as a significant milestone in the development and dissemination of these ideas. The underlying mathematical competencies on which mathematical literacy so strongly depends are described, along with a scheme to use them in item creation and analysis. The development and implementation of the PISA survey and the consequences for the outcomes are thoroughly discussed. Different kinds of items for both paper-based and computer-based PISA surveys are exemplified by many publicly released items along with details of scoring. The novel survey of the opportunity students have had to learn the mathematics promoted through PISA is explained. The book concludes by surveying international impact. It presents viewpoints of mathematics educators on how PISA and its constituent ideas and methods have influenced teaching and learning practices, curriculum arrangements, assessment practices, and the educational debate more generally in fourteen countries.
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
