Math Exchanges

Math Exchanges PDF Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Category : Education
Languages : en
Pages : 216

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Book Description
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?

Math Exchanges

Math Exchanges PDF Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Category : Education
Languages : en
Pages : 216

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Book Description
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?

Tests and Measurements in High School Instruction

Tests and Measurements in High School Instruction PDF Author: Giles Murrel Ruch
Publisher:
ISBN:
Category : Educational tests and measurements
Languages : en
Pages : 420

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Book Description


Assessment in Mathematics Education

Assessment in Mathematics Education PDF Author: Christine Suurtamm
Publisher: Springer
ISBN: 3319323946
Category : Education
Languages : en
Pages : 46

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Book Description
This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them. The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes: ·Purposes, Traditions and Principles of Assessment ·Design of Assessment Tasks ·Classroom Assessment in Action ·Interactions of Large-Scale and Classroom Assessment ·Enhancing Sound Assessment Knowledge and Practices It also suggests areas for future research in assessment in mathematics education.

Testing, Teaching, and Learning

Testing, Teaching, and Learning PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309172861
Category : Education
Languages : en
Pages : 136

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Book Description
State education departments and school districts face an important challenge in implementing a new law that requires disadvantaged students to be held to the same standards as other students. The new requirements come from provisions of the 1994 reauthorization of Title I, the largest federal effort in precollegiate education, which provides aid to "level the field" for disadvantaged students. Testing, Teaching, and Learning is written to help states and school districts comply with the new law, offering guidance for designing and implementing assessment and accountability systems. This book examines standards-based education reform and reviews the research on student assessment, focusing on the needs of disadvantaged students covered by Title I. With examples of states and districts that have track records in new systems, the committee develops a practical "decision framework" for education officials. The book explores how best to design assessment and accountability systems that support high levels of student learning and to work toward continuous improvement. Testing, Teaching, and Learning will be an important tool for all involved in educating disadvantaged studentsâ€"state and local administrators and classroom teachers.

Early Numeracy

Early Numeracy PDF Author: Robert J Wright
Publisher: SAGE
ISBN: 1446203956
Category : Education
Languages : en
Pages : 225

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Book Description
′Unlike many books based on research work this book doesn′t just let teachers know what is going wrong with children′s learning it actually gives some practical advice about what to do next. The whole book is based upon extensive observation and recording of individual children and their difficulties with mathematics. These children are the most difficult to plan for in a busy classroom and the authors appreciate the small steps and the different learning styles approaches needed for these children. This approach fits well with the NNS wave and springboard materials but takes the analysis of the individual′s difficulties to a more detailed level. The book brings together research carried out across a range of countries and therefore shows the versatility of the approaches taken. This will be a very useful book for trainee teachers as it exemplifies how to use assessment to feed into teaching. It will be helpful for class teachers and mathematics co-ordinators as well as SENCOs to assist in improving the teaching and learning for specific children in our schools′ - Mary Briggs, Primary and Early Years PGCE Co-ordinator, Institute of Education, University of Warwick ′This is a highly practical resource that will be appreciated by classroom and specialist teachers alike. It will provide teachers new to the Math Recovery program with practical help and support to diagnose errors and misconceptions in early numeracy. Practicing Math Recovery Specialists will be thrilled with the addition of four new highly focused assessments and an elaboration of the Learning Framework in Number. Early Numeracy is admirably grounded in international research and well-established theory, characteristics that are much sought after in the current data driven educational environment. Like many others, I was drawn to Math Recovery after reading the first edition of Early Numeracy. This second edition is a treasure - it is exciting to consider the impact it will have on children and teachers, and to the growth of the Math Recovery program′ - Audrey Murray, Lead Teacher, Midwest Math Recovery Training Center, Minneapolis This text has been fully updated to include developments and refinements brought about by widespread international application of the assessment tools in the Mathematics Recovery Programme. The book will help practitioners to identify and provide detailed analyses of all children but especially those who are able and those who underachieve in early numeracy. It will enable teachers, learning support personnel, numeracy consultants and educational psychologists to advise colleagues and parents on children′s number knowledge and strategies for early numeracy. The Mathematics Recovery Programme has been successfully applied in Australia, the United Kingdom and Ireland, the United States and Canada, both in specialist interventions and classroom settings. The revised version shows how familiarisation with, and understanding of, the diagnostic assessment tools has allowed teachers to become more knowledgeable in understanding children′s difficulties and misconceptions, and more skilled and confident in planning programmes of intervention and monitoring the children′s progress. This new edition includes: - Integrated frameworks of useful tasks for assessing children′s number knowledge and strategies; - Four separate and revised diagnostic assessment interviews; - Assessments for addition and subtraction strategies, Base Ten Arithmetical strategies, Early Grouping strategies, and Advanced Grouping strategies in the four operations; - How the assessment process has impacted significantly on teachers′ professional development and contributed to the raising of standards in early numeracy.

Assessment Strategies for Math

Assessment Strategies for Math PDF Author: Walch Publishing
Publisher: Walch Publishing
ISBN: 9780825144929
Category : Education
Languages : en
Pages : 90

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Book Description
Builds solid skills in algebra, geometry, number sense, probability and statistics, and more Introduces a variety of test-taking tips and strategies. Helps students beat the test jitters and attack problems confidently. Offers questions that mirror actual tests.

Teaching Numeracy

Teaching Numeracy PDF Author: Margie Pearse
Publisher: Corwin Press
ISBN: 1452224404
Category : Education
Languages : en
Pages : 241

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Book Description
Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12 PDF Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 208

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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.

Psychology of Mathematics for Instruction

Psychology of Mathematics for Instruction PDF Author: L. B. Resnick
Publisher: Routledge
ISBN: 1136557520
Category : Education
Languages : en
Pages : 273

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Book Description
Published in 1981, Psychology of Mathematics for Instruction is a valuable contribution to the field of Education.

Checking for Understanding

Checking for Understanding PDF Author: Douglas Fisher
Publisher: ASCD
ISBN: 1416619224
Category : Education
Languages : en
Pages : 170

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Book Description
A teacher presents a lesson, and at the end asks students if they understand the material. The students nod and say they get it. Later, the teacher is dismayed when many of the students fail a test on the material. Why aren’t students getting it? And, just as important, why didn’t the teacher recognize the problem? In Checking for Understanding, Douglas Fisher and Nancy Frey show how to increase students’ understanding with the help of creative formative assessments. When used regularly, formative assessments enable every teacher to determine what students know and what they still need to learn. Fisher and Frey explore a variety of engaging activities that check for and increase understanding, including interactive writing, portfolios, multimedia presentations, audience response systems, and much more. This new 2nd edition of Checking for Understanding has been updated to reflect the latest thinking in formative assessment and to show how the concepts apply in the context of Fisher and Frey’s work on gradual release of responsibility, guided instruction, formative assessment systems, data analysis, and quality instruction. Douglas Fisher and Nancy Frey are the creators of the Framework for Intentional and Targeted (FIT) Teaching™. They are also the authors of numerous ASCD books, including The Formative Assessment Action Plan: Practical Steps to More Successful Teaching and Learning and the best-selling Enhancing RTI: How to Ensure Success with Effective Classroom Instruction and Intervention.