In this insightful math resource for grades 3–8, popular professional developer Marian Small helps teachers understand and facilitate meaningful assessments to advance student understandings. Small shows new and veteran teachers how to do three fundamental things well: identify the most important math to assess; construct meaningful assessments—both formative and summative—to measure student understanding; and provide students with feedback that is clear, timely, and specific. Examples for each grade level are provided, along with details on how to pose questions, analyze errors, and help students understand and learn from their mistakes. The book provides specific guidance for when and how to offer feedback on both correct and incorrect answers in order to advance students’ mathematical thinking. Like other Marian Small bestsellers, Math That Matters combines her special brand of lucid explanation of difficult concepts with fresh and engaging activities. “Our understanding of the power of assessment to improve learning has deepened significantly in the past two decades. . . . Marian Small draws upon the critical research behind this understanding to explain what effective practice looks like. It is essential reading for all elementary educators and has the potential to profoundly affect the quality of mathematics assessment in our schools.” —From the Foreword by Damian Cooper, president, Plan Teach Assess “Teachers are often clamoring for concise classroom assessments that can capture students’ conceptual understanding. Clamor no more! Math That Matters is a timely response to that need. Marian Small removes the mystery of how to engage students in learning while collecting assessment data that drive next instructional plans.” —Karen Karp, Johns Hopkins University “The beauty of this book is that it is simple enough for brand new teachers and complex enough for experienced teachers. The author offers an amazing gift by linking assessment ideas directly to common state standards.” —Felicia Darling, Santa Rosa Junior College
This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation. Book Features: Addresses common misunderstandings and places where teachers and students struggle. Provides lucid explanations of difficult concepts. Presents fresh and engaging teaching examples. Offers helpful troubleshooting tips. Includes examples of student work. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.
In the second book in the Uncomplicating Mathematics Series, professional developer Marian Small shows teachers how to uncomplicate the teaching of algebra by focusing on the most important ideas that students need to grasp. Organized by grade level around the Common Core State Standards for Mathematics, Small shares approaches that will lead to a deeper and richer understanding of algebra for both teachers and students. The book opens with a clear discussion of algebraic thinking and current requirements for algebraic understanding within standards-based learning environments. The book then launches with Kindergarten, where the first relevant standard is found in the operations and algebraic thinking domain, and ends with Grade 8, where the focus is on working with linear equations and functions. In each section the relevant standard is presented, followed by a discussion of important underlying ideas associated with that standard, as well as thoughtful, concept-based questions that can be used for classroom instruction, practice, or assessment. The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical "doers." This resource will be invaluable for pre- and inservice teachers as they prepare themselves to understand and teach algebra with a deep level of understanding.
The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical "doers." In her new resource, professional developer Marian Small shows teachers how to uncomplicate the teaching of fractions by focusing on the most important fraction ideas that students need to grasp. The book is organized by grade level beginning with Grade 1, where the first relevant standard is found in the geometry domain, and ending with Grade 7, where the focus is on operations with rational numbers and proportional thinking.
Big Ideas from Dr. Small provides math teachers with what they need to know to teach the curriculum while focusing on the big ideas for each math concept. Each book includes hundreds of practical activities and follow-up questions to use in the classroom. The accompanying Facilitator's Guide is ideal for coaches and leaders of Professional Learning Communities.
This new book is an exciting follow-up to the authors bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math!
This book will be an invaluable aid for any teacher who is teaching K-8 math online or may be called upon to teach either wholly online or in blended classrooms with student in physical classrooms part time and learning from home part time to limit physical class sizes. This new book will feature Marian's special brand of lucid explanation of difficult concepts, engaging teaching examples, guidance for teachers about what to expect, troubleshooting tips, and formative assessments. This book will be a wonderful supplement to Marian's Differentiating text, and a stand-alone aid for new readers. It can be used with any program that schools may be using. This resource will show how materials teachers already have might be appropriately adapted to help enrich mathematics instruction in the virtual environment. It shows how teachers can have students use their home environment and materials as the basis for engaging open questions and tasks. It shows teachers how to build and maintain community with students online, explores the logistics of independent meetings with students and parents, and setting up "office hours" for individual help It provides samples and directionsfor duplicationg or creating tools like number lines and manipulatives at home. It provides exemplar videos available either on the TCP website or a YouTube channel, that teachers can use or recreate for communicating with parents about goals, methods, and materials, or to provide students spoken instruction that they can save and replay"--
Now in its Fourth Edition--with more than 50 new questions and a new chapter on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in grades K-8. Math education expert Marian Small shows teachers how to get started and become expert at using two powerful and universal strategies: Open Questions and Parallel Tasks. This edition is even easier for teachers to use in all quality state standards environments, including direct links to content standards and standards for mathematical practice. Parallel tasks and question examples are provided at each grade band: K-2, 3-5, and 6-8. Along with each example, the text describes how teachers can evoke productive conversations that meet the needs of a broad range of learners. Book Features: New tasks and questions to develop financial literacy. Connection of tasks and questions to standards and mathematical big ideas. About 500 tasks and questions that teachers can adapt or use as-is. Teaching tips and task variations. A template to help teachers build new tasks. "Look-fors" to see student thinking and diagnose difficulties. Guidance for using follow-up questions and math conversations to create a rich math classroom.
In 2017, the United States of America will be celebrating the Centennial of World War I. 1st Sergeant JOHN RUSSELL SMALL was a Veteran of that War. This is a true account of his experiences before, during and after the War, as written by his daughter, MARIAN SMALL, who set out at the age of 89 years to tell the story of a 20 year old boy whose love of adventure took him in 1916 to the Texas/Mexican border to join Brigadier-General John J. Pershing in the pursuit of Pancho Villa, the Mexican bandit, and then in 1918 to the trenches in France and No Man's Land. At her Dad's death in 1978, Marian inherited his collection of memorabilia which dates back 100 years to the time of his enlistment in the Ohio National Guard in 1916. Included were historic photographs and the original letters that John had written to his parents and to his sweetheart, Mary, (later his wife) as well as a 1918 Diary that he took with him when he was sent over the sea to France. John kept the Diary with him on the many nights when he led his Platoon as they marched for miles in the dark, in rain and mud, to the various trenches in No Man's Land. Even in the cootie and rat-filled trenches, with the sounds and dangers of the war going on all around him, he continued to write in the Diary and in his letters describing in detail the war as he was witnessing it. This is a compelling human interest story that recognizes the valor of the doughboys in WWI. Those who returned to the country they loved faced many hardships, including the Great Depression. The war, however, had given them the will to survive and it was through them and their stubbornness, frugality, pride and a firm belief in disciplining their children that a generation was born that, in later years, after a second World War, became know as the greatest generation....
Big Ideas from Dr. Small provides math teachers with what they need to know to teach the curriculum while focusing on the big ideas for each math concept. Each book includes hundreds of practical activities and follow-up questions to use in the classroom. The accompanying Facilitator's Guide is ideal for coaches and leaders of Professional Learning Communities.
This book focuses on the most important concepts and skills needed to provide early learners (preK2) with a strong foundation in mathematics, in ways that are fun for both children and educators! Professional developer Marian Small provides sample activities and lessons, troubleshooting tips, and formative assessments, and much more.
Nelson Functions and Applications 11 Student Success Workbook is specially designed to help struggling students be successful. It provides accessible, on-grade math to support students in the Grade 11 University/College Math course MCF3M. ? All lessons written to meet the same goals as equivalent lessons in the textbook ? Clear instructions provided for all lessons with exercises scaffolded in manageable steps ? Written at a level appropriate for struggling readers ? Predictable layout assists students with weak organizational skills ? Provides extra support and differentiated instruction opportunities
Although proportional reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and other proportional representations when they reach the upper grades. The author takes this complex subject and crafts examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how that understanding is essential for more complex ideas, such as ratios. Teachers and vertical teams can see how the concepts can build year after year. This new resource by well-known professional developer Marian Small suggests questions that are both interesting for students and useful for providing diagnostic information to teachers. Chapters are organized by grade level (K-8) around the Common Core State Standards for Mathematics to help teachers use the resource more easily.
A one-of-a kind, colourful hardcover student book containing easy-to-follow lessons, built-in choice activities, math games, and more! Features & Benefits: * Clear, student-friendly design * Chapter Opener and Getting Started to activate prior learning * Consistent lesson format: a central task or question followed by Reflecting, Checking, and Practising * Multiple sample solutions with student think-aloud to support understanding * Math Games and Curious Math * Thousands of questions for practice, review, and consolidation * Mid-Chapter Review and Chapter Review with FAQs * Rich performance task at the end of every chapter * Two glossaries: instructional words and mathematical words
Big Ideas from Dr. Small provides math teachers with what they need to know to teach the curriculum while focusing on the big ideas for each math concept. Each book includes hundreds of practical activities and follow-up questions to use in the classroom. The accompanying Facilitator's Guide is ideal for coaches and leaders of Professional Learning Communities.
Features & Benefits: ? Clear, student-friendly design ? Chapter Opener and Getting Started to activate prior learning ? Consistent lesson format: a central task or question followed by Reflecting, Checking, and Practising ? Multiple sample solutions with student think-aloud to support understanding ? Lots of questions for practice, review, and consolidation ? Frequently Asked Questions in every chapter help students and parents ? Mid-Chapter Review, Chapter Review, and Cumulative Review ? Chapter Self-Test, Chapter Test ? Rich performance task at the end of every chapter ? Two glossaries: instructional words and mathematical words ? Available in hardcover text or eBook
A grade-appropriate hardcover student book with math-related stories and engaging activities that spark discussion and promote active learning. This resource is ideal for use in small groups, and prepares children for the use of math textbooks in Grade 3.
Written for a Canadian audience, Making Math Meaningful to Canadian Students, K-8 will start teachers on their way to a successful career in teaching mathematics by providing them with insight into how to make mathematics make sense to students and capture their interest. Author Marian Small combines her wealth of research and practical experience to make this a thorough, yet very accessible text for students. This text is uniquely Canadian with samples from Canadian student texts and attention to Canadian curricula. Making Math Meaningful will serve as an invaluable reference for teachers who often have not had specialist training in mathematics, yet are expected to teach more sophisticated curriculum to a diverse student population.
- Affordable, consumable resource for extra practice and problems.- One-page sections aligned to each lesson in Nelson Mathematics- "At Home Help" for students and parents- "Test Yourself" at the end of each chapter allows students to self-assess
These full-colour student texts contain 6 to 10 lessons per chapter. All lessons begin with a central task or question and then a Reflecting, Checking, and Practising. Each chapter includes: - Chapter opening and "Getting Chapter" - Mid-chapter Review - Skills Bank - Problem Bank - Chapter Review - Chapter Task - Cumulative Review - Interactive Student Glossary
Easy to Read. Easy to use. The teachers? choice for student success! Features & Benefits: ? Clear, student-friendly design ? Chapter Opener and Getting Started to activate prior learning ? Consistent lesson format: a central task or question followed by Reflecting, Checking, and Practising ? Multiple sample solutions with student think-aloud to support understanding ? Math Games and Curious Math ? Thousands of questions for practice, review, and consolidation ? Mid-Chapter Review and Chapter Review with FAQs ? Rich performance task at the end of every chapter ? Two glossaries: instructional words and mathematical words
Big Ideas from Dr. Small provides math teachers with what they need to know to teach the curriculum while focusing on the big ideas for each math concept. Each book includes hundreds of practical activities and follow-up questions to use in the classroom. The accompanying Facilitator's Guide is ideal for coaches and leaders of Professional Learning Communities.
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