Author: Marian Small
Publisher: Teachers College Press
ISBN: 0807780987
Category : Education
Languages : en
Pages : 290
Book Description
Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.
More Good Questions
Author: Marian Small
Publisher: Teachers College Press
ISBN: 0807780987
Category : Education
Languages : en
Pages : 290
Book Description
Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.
Publisher: Teachers College Press
ISBN: 0807780987
Category : Education
Languages : en
Pages : 290
Book Description
Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.
Good Questions
Author: Marian Small
Publisher: Teachers College Press
ISBN: 0807753130
Category : Education
Languages : en
Pages : 241
Book Description
Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability.
Publisher: Teachers College Press
ISBN: 0807753130
Category : Education
Languages : en
Pages : 241
Book Description
Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability.
Differentiating in Number and Operations
Author: Jennifer Taylor-Cox
Publisher: Heinemann Educational Books
ISBN: 9780325021836
Category : Education
Languages : en
Pages : 0
Book Description
Differentiating is good teaching. As a math intervention tool, it's power packed. And as a math acceleration instrument it's unbeatable. And differentiation doesn't have to be difficult. Not with "Differentiation in Number & Operations and the Other Math Content Standards, PreK-Grade 2". The author's five-volume series shows you easy and effective differentiation strategies that can help all young mathematicians get off to a great start. With it you'll effectively differentiate instruction across all five math content strands. This book is the touchstone volume of the set. It introduces the foundational elements of differentiated teaching through working with number and operations. The author's approach allows you to: (1) assess students' math abilities quickly and efficiently; (2) group children by need, just as you do for guided reading; (3) target instruction to meet every student's needs; and (4) adjust levels of cognitive demand. Contents include: (1) Targeted, Differentiated Instruction; (2) Number and Operations in Prekindergarten Through Second Grade; (3) Targeting Instruction; (4) Grouping Students; (5) Levels of Cognitive Demand; (6) Learning Frameworks; (7) Personal Assessment; and (8) Reflecting on Practice. [This book is part of the series: "The Differentiating in the Math Content Standards Series".].
Publisher: Heinemann Educational Books
ISBN: 9780325021836
Category : Education
Languages : en
Pages : 0
Book Description
Differentiating is good teaching. As a math intervention tool, it's power packed. And as a math acceleration instrument it's unbeatable. And differentiation doesn't have to be difficult. Not with "Differentiation in Number & Operations and the Other Math Content Standards, PreK-Grade 2". The author's five-volume series shows you easy and effective differentiation strategies that can help all young mathematicians get off to a great start. With it you'll effectively differentiate instruction across all five math content strands. This book is the touchstone volume of the set. It introduces the foundational elements of differentiated teaching through working with number and operations. The author's approach allows you to: (1) assess students' math abilities quickly and efficiently; (2) group children by need, just as you do for guided reading; (3) target instruction to meet every student's needs; and (4) adjust levels of cognitive demand. Contents include: (1) Targeted, Differentiated Instruction; (2) Number and Operations in Prekindergarten Through Second Grade; (3) Targeting Instruction; (4) Grouping Students; (5) Levels of Cognitive Demand; (6) Learning Frameworks; (7) Personal Assessment; and (8) Reflecting on Practice. [This book is part of the series: "The Differentiating in the Math Content Standards Series".].
Differentiated Instruction for the Middle School Math Teacher
Author: Karen E. D'Amico
Publisher: John Wiley & Sons
ISBN: 078798468X
Category : Education
Languages : en
Pages : 253
Book Description
Differentiated Instruction for the Middle School Math Teacher is a practical and easy-to-use resource for teaching a standards-based math curriculum to all learners. It gives you effective ways to present math concepts, shows how to provide opportunities for guided practice, and offers ideas for modifying the material to provide access to the same content standard for all students in the inclusive classroom. This book also contains key strategies for collaborating with other professionals, suggestions for involving the students' families by tying math concepts to students' everyday lives, and valuable assessment strategies. The lessons in the book cover middle school math topics correlated to the standards of the National Council of Teachers of Math, ranging from numbers and operations to problem solving and reasoning. Each lesson includes: Instructions for presenting the lesson to the whole class Worksheets designed to help review and reinforce theconcepts presented in each lesson A section on how to adapt the lesson for the inclusive classroom, including descriptions of different stations for different learners A home-school connection with family-based everyday math activities Suggestions for how to assess students' grasp of the concepts presented in the lesson
Publisher: John Wiley & Sons
ISBN: 078798468X
Category : Education
Languages : en
Pages : 253
Book Description
Differentiated Instruction for the Middle School Math Teacher is a practical and easy-to-use resource for teaching a standards-based math curriculum to all learners. It gives you effective ways to present math concepts, shows how to provide opportunities for guided practice, and offers ideas for modifying the material to provide access to the same content standard for all students in the inclusive classroom. This book also contains key strategies for collaborating with other professionals, suggestions for involving the students' families by tying math concepts to students' everyday lives, and valuable assessment strategies. The lessons in the book cover middle school math topics correlated to the standards of the National Council of Teachers of Math, ranging from numbers and operations to problem solving and reasoning. Each lesson includes: Instructions for presenting the lesson to the whole class Worksheets designed to help review and reinforce theconcepts presented in each lesson A section on how to adapt the lesson for the inclusive classroom, including descriptions of different stations for different learners A home-school connection with family-based everyday math activities Suggestions for how to assess students' grasp of the concepts presented in the lesson
Supporting Differentiated Instruction
Author: Robin J. Fogarty
Publisher: Solution Tree Press
ISBN: 1935543849
Category : Education
Languages : en
Pages : 291
Book Description
Examine how PLCs provide the decision-making platform for the rigorous work of differentiated classroom instruction. A practical guide to implementing differentiation in the classroom, this book offers a road map to effective teaching that responds to diverse learning needs. Takeaway objectives at the beginning of each chapter guide discussion, and each chapter ends with action options of highly interactive strategies.
Publisher: Solution Tree Press
ISBN: 1935543849
Category : Education
Languages : en
Pages : 291
Book Description
Examine how PLCs provide the decision-making platform for the rigorous work of differentiated classroom instruction. A practical guide to implementing differentiation in the classroom, this book offers a road map to effective teaching that responds to diverse learning needs. Takeaway objectives at the beginning of each chapter guide discussion, and each chapter ends with action options of highly interactive strategies.
Mathematics Learning in Early Childhood
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309147433
Category : Education
Languages : en
Pages : 399
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.
Publisher: National Academies Press
ISBN: 0309147433
Category : Education
Languages : en
Pages : 399
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.
Number Talks
Author: Sherry Parrish
Publisher: Math Solutions
ISBN: 1935099116
Category : Education
Languages : en
Pages : 434
Book Description
"A multimedia professional learning resource"--Cover.
Publisher: Math Solutions
ISBN: 1935099116
Category : Education
Languages : en
Pages : 434
Book Description
"A multimedia professional learning resource"--Cover.
The Differentiated Classroom
Author: Carol Ann Tomlinson
Publisher: ASCD
ISBN: 1416618635
Category : Education
Languages : en
Pages : 210
Book Description
Although much has changed in schools in recent years, the power of differentiated instruction remains the same—and the need for it has only increased. Today's classroom is more diverse, more inclusive, and more plugged into technology than ever before. And it's led by teachers under enormous pressure to help decidedly unstandardized students meet an expanding set of rigorous, standardized learning targets. In this updated second edition of her best-selling classic work, Carol Ann Tomlinson offers these teachers a powerful and practical way to meet a challenge that is both very modern and completely timeless: how to divide their time, resources, and efforts to effectively instruct so many students of various backgrounds, readiness and skill levels, and interests. With a perspective informed by advances in research and deepened by more than 15 years of implementation feedback in all types of schools, Tomlinson explains the theoretical basis of differentiated instruction, explores the variables of curriculum and learning environment, shares dozens of instructional strategies, and then goes inside elementary and secondary classrooms in nearly all subject areas to illustrate how real teachers are applying differentiation principles and strategies to respond to the needs of all learners. This book's insightful guidance on what to differentiate, how to differentiate, and why lays the groundwork for bringing differentiated instruction into your own classroom or refining the work you already do to help each of your wonderfully unique learners move toward greater knowledge, more advanced skills, and expanded understanding. Today more than ever, The Differentiated Classroom is a must-have staple for every teacher's shelf and every school's professional development collection.
Publisher: ASCD
ISBN: 1416618635
Category : Education
Languages : en
Pages : 210
Book Description
Although much has changed in schools in recent years, the power of differentiated instruction remains the same—and the need for it has only increased. Today's classroom is more diverse, more inclusive, and more plugged into technology than ever before. And it's led by teachers under enormous pressure to help decidedly unstandardized students meet an expanding set of rigorous, standardized learning targets. In this updated second edition of her best-selling classic work, Carol Ann Tomlinson offers these teachers a powerful and practical way to meet a challenge that is both very modern and completely timeless: how to divide their time, resources, and efforts to effectively instruct so many students of various backgrounds, readiness and skill levels, and interests. With a perspective informed by advances in research and deepened by more than 15 years of implementation feedback in all types of schools, Tomlinson explains the theoretical basis of differentiated instruction, explores the variables of curriculum and learning environment, shares dozens of instructional strategies, and then goes inside elementary and secondary classrooms in nearly all subject areas to illustrate how real teachers are applying differentiation principles and strategies to respond to the needs of all learners. This book's insightful guidance on what to differentiate, how to differentiate, and why lays the groundwork for bringing differentiated instruction into your own classroom or refining the work you already do to help each of your wonderfully unique learners move toward greater knowledge, more advanced skills, and expanded understanding. Today more than ever, The Differentiated Classroom is a must-have staple for every teacher's shelf and every school's professional development collection.
Differentiated Instruction for K-8 Math and Science
Author: Mary Hamm
Publisher: Routledge
ISBN: 1317930231
Category : Education
Languages : en
Pages : 143
Book Description
This book offers practical recommendations to reach every student in a K-8 classroom. Research-based and written in a teacher-friendly style, it will help teachers with classroom organization and lesson planning in math and science. Included are math and science games, activities, ideas, and lesson plans based on the math and science standards. This book will help your students to develop positive attitudes and raise competency in math and science.
Publisher: Routledge
ISBN: 1317930231
Category : Education
Languages : en
Pages : 143
Book Description
This book offers practical recommendations to reach every student in a K-8 classroom. Research-based and written in a teacher-friendly style, it will help teachers with classroom organization and lesson planning in math and science. Included are math and science games, activities, ideas, and lesson plans based on the math and science standards. This book will help your students to develop positive attitudes and raise competency in math and science.
Advances in Automatic Differentiation
Author: Christian H. Bischof
Publisher: Springer Science & Business Media
ISBN: 3540689427
Category : Computers
Languages : en
Pages : 366
Book Description
The Fifth International Conference on Automatic Differentiation held from August 11 to 15, 2008 in Bonn, Germany, is the most recent one in a series that began in Breckenridge, USA, in 1991 and continued in Santa Fe, USA, in 1996, Nice, France, in 2000 and Chicago, USA, in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory, applications, and tool development. Overall, 53 authors from institutions in 9 countries contributed, demonstrating the worldwide acceptance of AD technology in computational science. Recently it was shown that the problem underlying AD is indeed NP-hard, f- mally proving the inherently challenging nature of this technology. So, most likely, no deterministic “silver bullet” polynomial algorithm can be devised that delivers optimum performance for general codes. In this context, the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume, not only in a better understanding of the interplay of AD and certain mathematical paradigms, but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context, the understanding of structures such as sparsity of derivatives, or generalizations of this concept like scarcity, plays a critical role, in particular for higher derivative computations.
Publisher: Springer Science & Business Media
ISBN: 3540689427
Category : Computers
Languages : en
Pages : 366
Book Description
The Fifth International Conference on Automatic Differentiation held from August 11 to 15, 2008 in Bonn, Germany, is the most recent one in a series that began in Breckenridge, USA, in 1991 and continued in Santa Fe, USA, in 1996, Nice, France, in 2000 and Chicago, USA, in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory, applications, and tool development. Overall, 53 authors from institutions in 9 countries contributed, demonstrating the worldwide acceptance of AD technology in computational science. Recently it was shown that the problem underlying AD is indeed NP-hard, f- mally proving the inherently challenging nature of this technology. So, most likely, no deterministic “silver bullet” polynomial algorithm can be devised that delivers optimum performance for general codes. In this context, the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume, not only in a better understanding of the interplay of AD and certain mathematical paradigms, but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context, the understanding of structures such as sparsity of derivatives, or generalizations of this concept like scarcity, plays a critical role, in particular for higher derivative computations.