Thinking Practices In Mathematics And Science Learning

Author : James G. Greeno,Shelley V. Goldman
Publisher : Routledge
Page : 451 pages
File Size : 42,6 Mb
Release : 2013-04-03
Category : Education
ISBN : 9781136485268

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Thinking Practices in Mathematics and Science Learning by James G. Greeno,Shelley V. Goldman Pdf

The term used in the title of this volume--thinking practices--evokes questions that the authors of the chapters within it begin to answer: What are thinking practices? What would schools and other learning settings look like if they were organized for the learning of thinking practices? Are thinking practices general, or do they differ by disciplines? If there are differences, what implications do those differences have for how we organize teaching and learning? How do perspectives on learning, cognition, and culture affect the kinds of learning experiences children and adults have? This volume describes advances that have been made toward answering these questions. These advances involve several agendas, including increasing interdisciplinary communication and collaboration; reconciling research on cognition with research on teaching, learning, and school culture; and strengthening the connections between research and school practice. The term thinking practices is symbolic of a combination of theoretical perspectives that have contributed to the volume editors' understanding of how people learn, how they organize their thinking inside and across disciplines, and how school learning might be better organized. By touring through some of the perspectives on thinking and learning that have evolved into school learning designs, Greeno and Goldman begin to establish a frame for what they are calling thinking practices. This volume is a significant contribution to a topic that they believe will continue to emerge as a coherent body of scientific and educational research and practice.

Author : Faye Brownlie,Carole Fullerton,Leyton Schnellert
Publisher : Portage & Main Press
Page : 312 pages
File Size : 55,7 Mb
Release : 2011-06-23
Category : Education
ISBN : 9781553793045

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Collaborating to Support All Learners in Mathematics and Science by Faye Brownlie,Carole Fullerton,Leyton Schnellert Pdf

In this second volume of It’s All About Thinking, the authors focus their expertise on the disciplines of mathematics and science, translating principles into practices that help other educators with their students. How can we help students develop the thinking skills they need to become successful learners? How does this relate to deep learning of important concepts in mathematics and science? How can we engage and support diverse learners in inclusive classrooms where they develop understanding and thinking skills? In this book, Faye, Leyton and Carole explore these questions and offer classroom examples to help busy teachers develop communities where all students learn. This book is written by three experienced educators who offer a welcoming and “can-do” approach to the big ideas in math and science education today. In this book you will find: insightful ways to teach diverse learners (Information circles, open-ended strategies, inquiry, manipulatives and models) lessons crafted using curriculum design frameworks (udl and backwards design) assessment for, as, and of learning fully fleshed-out lessons and lesson sequences; inductive teaching to help students develop deep learning and thinking skills in Math and Science assessment tools (and student samples) for concepts drawn from learning outcomes in Math and Science curricula excellent examples of theory and practice made accessible real school examples of collaboration — teachers working together to create better learning opportunities for their students

Author : Peter Liljedahl
Publisher : Corwin
Page : 345 pages
File Size : 43,5 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374864

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

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 : Faye Brownlie,Carole Fullerton,Leyton Schnellert
Publisher : Unknown
Page : 0 pages
File Size : 49,6 Mb
Release : 2011
Category : Critical thinking
ISBN : 1553792696

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It's All about Thinking by Faye Brownlie,Carole Fullerton,Leyton Schnellert Pdf

"How can we help students develop the thinking skills they need to be successful learners? How does this relate to deep learning of important concepts? How can we engage and support diverse learners in inclusive classrooms where they develop understanding and thinking skills? In this book, Faye and Leyton explore these questions and offer classroom examples to help busy teachers develop communities where all students learn. This book is written by two experienced educators who offer a welcoming and "can do" approach to the big ideas in education today. In this book, you will find: insightful ways to teach diverse learners, e.g., literature and information circles, open-ended strategies, cooperative learning, inquiry ; curriculum design frameworks, e.g., universal design for learning (UDL) and backward design ; assessment for, of, and as learning ; lessons to help students develop deep learning and thinking skills in English, Social Studies, and Humanities ; excellent examples of theory and practice made accessible ; real school examples of collaboration - teachers working together to create better learning opportunities for their students"--Site web de l'éditeur.

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 79 pages
File Size : 41,8 Mb
Release : 2021-08-23
Category : Education
ISBN : 9781071862940

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Modifying Your Thinking Classroom for Different Settings by Peter Liljedahl Pdf

Keep thinking...keep learning in different settings In Peter Liljedahl’s bestselling Building Thinking Classrooms in Mathematics: 14 Teaching Practices for Enhancing Learning, readers discovered that thinking is a precursor to learning. Translating 15 years of research, the anchor book introduced 14 practices that have the most potential to increase student thinking in the classroom and can work for any teacher in any setting. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? This follow-up supplement will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic. This guide: Provides the what, why, and how to adapt each practice in face-to-face settings that require social distancing, fixed seating, or small class sizes; synchronous and asynchronous virtual settings; synchronous and asynchronous hybrid settings; independent learning; and homeschooling. Includes guidance on using thinking classroom practices to support students in unfinished learning in small groups and one-on-one teaching or tutoring. Offers updated toolkits and a recommended order for the implementation of the practices for each of the settings. This supplement allows teachers to dip in as needed and continually modify the practices as their own classroom situations change and evolve, always keeping the thinking at the forefront of their mathematics teaching and learning.

Author : University of British Columbia. Centre for the Study of Curriculum and Instruction
Publisher : Unknown
Page : 200 pages
File Size : 43,6 Mb
Release : 1995
Category : Education
ISBN : PSU:000025661460

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Thinking Globally about Mathematics and Science Education by University of British Columbia. Centre for the Study of Curriculum and Instruction Pdf

Author : Hamsa Venkat,Marissa Rollnick,John Loughran,Mike Askew
Publisher : Routledge
Page : 236 pages
File Size : 43,7 Mb
Release : 2014-05-09
Category : Education
ISBN : 9781134683642

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Exploring Mathematics and Science Teachers' Knowledge by Hamsa Venkat,Marissa Rollnick,John Loughran,Mike Askew Pdf

Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.

Author : Thomas A. Romberg,Thomas P. Carpenter,Fae Dremock
Publisher : Routledge
Page : 344 pages
File Size : 48,6 Mb
Release : 2005-03-23
Category : Education
ISBN : 9781135620219

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Understanding Mathematics and Science Matters by Thomas A. Romberg,Thomas P. Carpenter,Fae Dremock Pdf

The research reported in this book provides reliable evidence on and knowledge about mathematics and science instruction that emphasizes student understanding--instruction consistent with the needs of students who will be citizens in an increasingly demanding technological world. The National Center for Improving Student Learning in Mathematics and Science--established in 1996 as a research center and funded by the U.S. Department of Education--was instrumental in developing instructional practices supportive of high student achievement in and understanding of mathematics and science concepts. NCISLA researchers worked with teachers, students, and administrators to construct learning environments that exemplify current research and theory about effective learning of mathematics and science. The careful programs of research conducted examined how instructional content and design, assessment, professional development, and organizational support can be designed, implemented, and orchestrated to support the learning of all students. This book presents a summary of the concepts, findings, and conclusions of the Center's research from 1996-2001. In the Introduction, the chapters in Understanding Mathematics and Science Matters are situated in terms of the reform movement in school mathematics and school science. Three thematically structured sections focus on, respectively, research directed toward what is involved when students learn mathematics and science with understanding; research on the role of teachers and the problems they face when attempting to teach their students mathematics and science with understanding; and a collaboration among some of the contributors to this volume to gather information about classroom assessment practices and organizational support for reform. The goal of this book is to help educational practitioners, policymakers, and the general public to see the validity of the reform recommendations, understand the recommended guidelines, and to use these to transform teaching and learning of mathematics and science in U.S. classrooms.

Author : Diane F. Halpern
Publisher : Psychology Press
Page : 172 pages
File Size : 51,9 Mb
Release : 1992
Category : Education
ISBN : 0805810536

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Enhancing Thinking Skills in the Sciences and Mathematics by Diane F. Halpern Pdf

In recent years national and international reports have been issued that speak of the sad state of the educational system in the United States and the desperate need for reform in teaching science and mathematics. Cognitive psychologists and mathematics and science educators have responded to this need by designing instructional programs that are more compatible with our knowledge of how people acquire, use, and retain knowledge. Many of the guiding principles that underlie these programs are presented in this volume such as teaching comprehension of scientific text through a problem-solving approach: problem planning and representation, selection of relevant information, and simultaneous monitoring of both the specifics of the problem and the mental processes being used to solve it.

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 209 pages
File Size : 54,5 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362953

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Visible Learning for Mathematics, Grades K-12 by John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman Pdf

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 : Dennis Adams,Mary Hamm
Publisher : Rowman & Littlefield
Page : 177 pages
File Size : 47,6 Mb
Release : 2014-02-19
Category : Education
ISBN : 9781475809053

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Teaching Math, Science, and Technology in Schools Today by Dennis Adams,Mary Hamm Pdf

Teaching Math, Science, and Technology in Schools Today: Guidelines for Engaging Both Eager and Reluctant Learners offers unique, engaging, and thought-provoking ideas. The activities open imaginative doors to learning and provide opportunities for all learners. It surveys today’s most important trends and dilemmas while explaining how collaboration and critical thinking can be translated into fresh classroom practices. Questions, engagement, and curiosity are viewed as natural partners for mathematical problem solving, scientific inquiry, and learning about technology. Like the Common Core State Standards, the book builds on the social nature of learning to provide suggestions for both eager and reluctant learners. The overall goal of the book is to deepen the collective conversation, challenge thinking, and provide some up-to-date tools for teachers so they can help reverse the steady erosion of math, science, and technology understanding in the general population.

Author : Page Keeley,Cheryl Rose Tobey
Publisher : Corwin Press
Page : 165 pages
File Size : 53,6 Mb
Release : 2016-12-08
Category : Education
ISBN : 9781506336640

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Mathematics Formative Assessment, Volume 2 by Page Keeley,Cheryl Rose Tobey Pdf

Everything you need to promote mathematical thinking and learning! Good math teachers have a robust repertoire of strategies to move students’ learning forward. This new volume from award-winning author Page Keeley and mathematics expert Cheryl Rose Tobey helps you improve student outcomes with 50 all-new formative assessment classroom techniques (FACTS) that are embedded throughout a cycle of instruction. Descriptions of how the FACTs promote learning and inform teaching, including illustrative examples, support the inextricable link between instruction and learning. Useful across disciplines, Keeley and Tobey’s purposeful assessment techniques help K-12 math teachers: Promote conceptual understanding Link techniques to core ideas and practices Modify instruction for diverse learners Seamlessly embed formative assessment throughout the stages of instruction Focus on learning targets and feedback Instead of a one-size fits all approach, you can build a bridge between your students’ initial ideas and correct mathematical thinking with this one-of-a-kind resource!

Author : Jeff C. Marshall
Publisher : ASCD
Page : 171 pages
File Size : 43,5 Mb
Release : 2013
Category : Education
ISBN : 9781416616085

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Succeeding with Inquiry in Science and Math Classrooms by Jeff C. Marshall Pdf

This book shows K-12 STEM teachers how to maximize their effectiveness with students by shifting to an inquiry-based instructional approach and creating a rigorous, engaging learning environment.

Author : Matthew Oldridge
Publisher : Rowman & Littlefield
Page : 135 pages
File Size : 50,6 Mb
Release : 2018-10-31
Category : Education
ISBN : 9781475843347

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Teaching Mathematics through Problem-Solving in K–12 Classrooms by Matthew Oldridge Pdf

“Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

Author : Reagan Curtis,Darran R. Cairns,Johnna J. Bolyard
Publisher : Teachers College Press
Page : 169 pages
File Size : 48,7 Mb
Release : 2023
Category : Education
ISBN : 9780807781456

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Design Thinking in the Middle Grades by Reagan Curtis,Darran R. Cairns,Johnna J. Bolyard Pdf

Too often, mathematics and science are taught in isolation from each other and from meaningful problems that matter to students. This book draws on the authors’ experiences with teacher colleagues, including time spent in their classrooms co-developing and refining lessons. The core of their approach is to encourage learners to pursue solutions to everyday challenges through design-based learning cycles. Students use mathematical modeling to describe or summarize a phenomenon, predict which potential solutions may be successful, and/or to test actual performance against predictions. The authors emphasize connecting grade-appropriate science and math content standards and integrating literacy with evidence-based argument through design briefs and presentations. Teachers will learn how to support productive struggle and structure group learning that promotes equity, while teaching in the classroom or virtually as needed. The middle grades are a pivotal time to engage the next generation so that they are prepared to solve tomorrow’s challenges. Classroom teachers, pre-service educators, and faculty in teacher education programs can use Design Thinking in the Middle Grades as a foundational text for math, science, and integrated STEM teaching. Book Features: Identifies the content standards, objectives, and practices from math, science, and language arts for each lesson sample.Combines mathematical modeling with engineering design as a tool to facilitate deep learning. Offers a range of design activities to produce both artifacts and processes.Describes design activities focused on easily obtained, inexpensive, or found materials to avoid narrowing access in underfunded schools.