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Learning Experiences to Promote Mathematics Learning

Author : Pee Choon Toh

Publisher : World Scientific Publishing Company Incorporated

Page : 302 pages

File Size : 34,55 MB

Release : 2014

Category : Education

ISBN : 9789814612906

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Book Description

Ch. 1. It matters how students learn mathematics / Berinderjeet Kaur -- ch. 2. M_Crest: A framework of motivation to learn mathematics / Wong Khoon Yoong -- ch. 3. Designing learning experiences for effective instruction in secondary mathematics / Toh Tin Lam -- ch. 4. Providing students' authentic learning experience through 3D printing technology / Oh Nam Kwon, Jee Hyun Park, Jung Sook Park -- ch. 5. What do teachers need to know to teach secondary mathematics / Kim Beswick -- ch. 6. Defining, extending, and creating: Key experiences in mathematics / Yoshinori Shimizu -- ch. 7. Teaching for abstraction through mathematical learning experiences / Cheng Lu Pien -- ch. 8. Making sense of number sense: Creating learning experiences for primary pupils to develop their number sense / Yeo Kai Kow Joseph -- ch. 9. Learning experiences designed to develop algebraic thinking: Lessons from the ICCAMS project in England / Jeremy Hodgen, Dietmar Kuchenmann, Margaret Brown -- ch. 10. Learning experiences designed to develop multiplicative reasoning; using models to foster learners' understanding / Margaret Brown, Jeremy Hodgen, Dietmar Kuchemann -- ch. 11. Learning mathematical induction through experiencing authentic problem solving / Tay Eng Guan, Toh Pee Choon -- ch. 12. Scaffolding and constructing new problems for teaching mathematical proofs in the A-levels / Zhao Dongsheng -- ch. 13. Learning number in the primary school through ICT / Barry Kissane -- ch. 14. Learning algebra and geometry through ICT / Marian Kemp



Visible Learning for Mathematics, Grades K-12

Author : John Hattie

Publisher : Corwin Press

Page : 209 pages

File Size : 27,59 MB

Release : 2016-09-15

Category : Education

ISBN : 1506362958

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Book Description

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.



Strengths-Based Teaching and Learning in Mathematics

Author : Beth McCord Kobett

Publisher : Corwin Press

Page : 189 pages

File Size : 47,37 MB

Release : 2020-02-27

Category : Education

ISBN : 1544374925

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Book Description

"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.



Mathematics Learning in Early Childhood

Author : National Research Council

Publisher : National Academies Press

Page : 399 pages

File Size : 40,36 MB

Release : 2009-11-13

Category : Education

ISBN : 0309147433

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Book Description

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.



The Young Child and Mathematics, Third Edition

Author : Angela Chan Turrou

Publisher :

Page : 128 pages

File Size : 31,59 MB

Release : 2021-10

Category : Education

ISBN : 9781938113932

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Book Description

Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!



Culturally Responsive Teaching

Author : Geneva Gay

Publisher : Teachers College Press

Page : 321 pages

File Size : 24,58 MB

Release : 2010

Category : Education

ISBN : 0807750786

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Book Description

The achievement of students of color continues to be disproportionately low at all levels of education. More than ever, Geneva Gay's foundational book on culturally responsive teaching is essential reading in addressing the needs of today's diverse student population. Combining insights from multicultural education theory and research with real-life classroom stories, Gay demonstrates that all students will perform better on multiple measures of achievement when teaching is filtered through their own cultural experiences. This bestselling text has been extensively revised to include expanded coverage of student ethnic groups: African and Latino Americans as well as Asian and Native Americans as well as new material on culturally diverse communication, addressing common myths about language diversity and the effects of "English Plus" instruction.



Helping Children Learn Mathematics

Author : National Research Council

Publisher : National Academies Press

Page : 53 pages

File Size : 41,20 MB

Release : 2002-07-31

Category : Education

ISBN : 0309131987

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Book Description

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.



Building Thinking Classrooms in Mathematics, Grades K-12

Author : Peter Liljedahl

Publisher : Corwin Press

Page : 454 pages

File Size : 37,60 MB

Release : 2020-09-28

Category : Education

ISBN : 1544374844

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Book Description

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.



Principles to Actions

Author : National Council of Teachers of Mathematics

Publisher : National Council of Teachers of Mathematics, Incorporated

Page : 139 pages

File Size : 22,69 MB

Release : 2014-02

Category : Curriculum planning

ISBN : 9780873537742

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Book Description

This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.



Engaging in Mathematics in the Classroom

Author : Alf Coles

Publisher : Routledge

Page : 179 pages

File Size : 39,78 MB

Release : 2015-07-30

Category : Education

ISBN : 131742977X

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Book Description

What comes first, class management or student engagement? How can the ‘real world’ be used to engage learners? What is the role of technology in engaging students? And is ‘understanding’ or ‘exam success’ more engaging? In the modern world, success in school mathematics can determine life chances. It is therefore vital to engage children and young people in learning mathematics. Engaging in Mathematics in the Classroom brings together the debates concerning mathematical engagement and draws on first-hand experience and key research to promote successful classroom practice. It considers what engagement looks like at different ages and the implications of this for the classroom. Accessibly written with examples of successful classroom practice, activities and projects, the book covers: Planning and managing engagement in learning; Mathematical understandings and meanings; Early Primary and the number system; Primary/Secondary Transition and geometrical thinking; Secondary school: Adolescence and algebraic activity; Post-16 and infinity; Learning across the lifespan. Written by a leading authority in the field, this timely text will be essential reading for all trainee and practising teachers of mathematics.



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