Inside The Mathematics Class
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| Author | : Peter Liljedahl |
| Publisher | : Corwin Press |
| Total Pages | : 454 |
| Release | : 2020-09-28 |
| Genre | : Education |
| ISBN | : 1544374844 |
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.
| Author | : John Hattie |
| Publisher | : Corwin Press |
| Total Pages | : 209 |
| Release | : 2016-09-15 |
| Genre | : Education |
| ISBN | : 1506362958 |
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.
| Author | : John Almarode |
| Publisher | : Corwin Press |
| Total Pages | : 154 |
| Release | : 2018-10-10 |
| Genre | : Education |
| ISBN | : 154433317X |
Select the right task, at the right time, for the right phase of learning It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of middle school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.
| Author | : Ted H. Hull |
| Publisher | : Corwin Press |
| Total Pages | : 185 |
| Release | : 2011-01-21 |
| Genre | : Education |
| ISBN | : 1452269408 |
"This book is a crucial tool for meeting NCTM mathematical content and process standards. Through the useful problems and strategies presented within, teachers will definitely know how well their students will comprehend. If comprehension is an issue in your class, this book is a must have!" —Therese Gessler Rodammer, Math Coach Thomas W. Dixon Elementary School, Staunton, VA Seeing is believing with this interactive approach to math instruction Do you ever wish your students could read each other′s thoughts? Now they can—and so can you! Veteran mathematics educators Ted Hull, Don Balka, and Ruth Harbin Miles explain why making students′ thought processes visible is the key to effective mathematics instruction. Their newest book contains numerous grade-specific sample problems and instructional strategies for teaching essential concepts such as number sense, fractions, and estimation. Among the many benefits of visible thinking are: Interactive student-to-student learning Increased class participation Development of metacognitive thinking and problem-solving skills Helpful features include vignettes, relevant word problems, classroom scenarios, sample problems, lesson adaptations, and easy-to-follow examples of each strategy in action. The authors also explain how students can demonstrate their thinking using calculators and online tools. The final chapter outlines steps math leaders can take to implement visible thinking and maximize mathematics comprehension for all students.
| Author | : Jen Munson |
| Publisher | : |
| Total Pages | : 160 |
| Release | : 2018-09-06 |
| Genre | : Elementary school teachers |
| ISBN | : 9780325098692 |
Conferring in math supports students' learning How do we support all students' mathematical sense-making and move their thinking forward in the midst of problem solving? Talking to students about their work, while they work, is a powerful way of supporting learning. We often engage in these conversations with our readers and writers, and these interactions are just as needed in mathematics. What does it look like to talk with students about their mathematical thinking so that their thinking grows? Practical, research-based guidance for getting started In the Moment offers research-based guidance for conferring with your students in math. Jen Munson explains how, in just a few minutes, a math conference provides opportunities for supporting productive struggle, helping students grow their ideas, and differentiating instruction. You'll learn about: the process of conferring: eliciting, interpreting, and nudging creating the conditions for conferring in your classroom responding to your students' thinking in the moment of a conference addressing unique challenges teachers face when conferring in math using conferring as formative assessment. Enhanced with online videos showing real math conferences and teacher reflections, this comprehensive, classroom-tested approach to conferring helps you step into your students' mathematical lives to support their learning, communication, and participation. It provides the guidance and support needed to get started with conferring and see it become a crucial part of your teaching.
| Author | : Julie Barnes |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 303 |
| Release | : 2018-08-06 |
| Genre | : Mathematics |
| ISBN | : 1470448017 |
Q: What do feather boas, cookies, and paper shredders have in common? A: They are all ingredients that have the potential to help your undergraduate students understand a variety of mathematical concepts. In this book, 43 faculty from a wide range of institutional settings share a total of 64 hands-on activities that allow students to physically engage with mathematical ideas ranging from the basics of precalculus to special topics appropriate for upper-level courses. Each learning activity is presented in an easy-to-read recipe format that includes a list of supplies; a narrative briefly describing the reasons, logistics, and helpful hints for running the activity; and a page that can be used as a handout in class. Purchase of the book also includes access to electronic printable versions of the handouts. With so many activities, it might be hard to decide where to start. For that reason, there are four indices to help the reader navigate this book: a concept index, a course index, an [Author]; index, and a main ingredient index. In addition to providing activities for precalculus, calculus, commonly required mathematics courses for majors, and more specialized upper-level electives, there is also a section describing how to modify many of the activities to fit into a liberal arts mathematics class. Whether you are new to using hands-on activities in class or are more experienced, the [Author];s hope that this book will encourage and inspire you to explore the possibilities of using more hands-on activities in your classes. Bon appetit!
| Author | : Beth McCord Kobett |
| Publisher | : Corwin Press |
| Total Pages | : 189 |
| Release | : 2020-02-27 |
| Genre | : Education |
| ISBN | : 1544374925 |
"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.
| Author | : Hope Martin |
| Publisher | : Corwin Press |
| Total Pages | : 209 |
| Release | : 2007-02-26 |
| Genre | : Education |
| ISBN | : 1412949785 |
Deepen students' understanding of math concepts through active involvement! Engaging students directly in creative learning experiences is the basis of author Hope Martin's approach for re-energizing mathematics instruction. Active Learning in the Mathematics Classroom, Grades 5-8, Second Edition offers attention-grabbers such as Algebra Jokes, The M&M Mystery, How Long Would It Take to Walk to China?, and Gummi Worms to help students use mathematics as a powerful problem-solving tool, gain meaningful understandings of key concepts, and effectively communicate their mathematical thinking. Presenting a generous collection of student activities aligned with the five NCTM content standards, this revised edition of Multiple Intelligences in the Mathematics Classroom features A new chapter addressing algebra conceptsReproducible student pages for each activity Journaling questions to engage students in writing about mathematics Specific Web site resourcesWith step-by-step directions, suggestions, tips, and variations for implementation, this updated text provides a rich instructional resource for teachers, mathematics specialists, and curriculum directors.
| Author | : Uwe Gellert |
| Publisher | : Springer |
| Total Pages | : 343 |
| Release | : 2018-09-26 |
| Genre | : Education |
| ISBN | : 3319790455 |
This volume is a forward–looking intersection of Sociological perspectives on mathematics classrooms and socio-political perspectives on mathematics education. The first perspective has generated a substantial body of knowledge in the mathematics education. Interactionist research has deepened our understanding of interaction processes, socio-mathematical norms and the negotiation of meaning, generating a ‘micro-sociology’ or a ‘micro-ethnography’ of the mathematics classroom. More recently, socio-political perspectives on mathematics education interrelate educational practices in mathematics with macro-social issues of social equity, class, and race and with the policies that regulate institutionalized mathematics education. This book documents, strings together and juxtaposes research that uses ethnographical classroom data to explain, on the one hand, how socio-political issues play out in the mathematics class. On the other hand, it illuminates how class, race etc. affect the micro-sociology of the mathematics classroom. The volume advances the knowledge in the field by providing an empirical grounding of socio-political research on mathematics education, and it extends the frame in which mathematical classroom cultures are conceived.
| Author | : Alice F. Artzt |
| Publisher | : |
| Total Pages | : 102 |
| Release | : 1997 |
| Genre | : Education |
| ISBN | : |
How to use cooperative learning in the mathematics class.
