Mine the Gap for Mathematical Understanding, Grades 3-5

Author: John SanGiovanni
Publisher: Corwin Press
ISBN: 1506375502
Category : Education
Languages : en
Pages : 385

Book Description
Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction concepts, foundational decimal concepts, and operations with fractions and decimals. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

Mine the Gap for Mathematical Understanding, Grades K-2

Author: John SanGiovanni
Publisher: Corwin Press
ISBN: 1506382290
Category : Education
Languages : en
Pages : 385

Book Description
Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

Mine the Gap for Mathematical Understanding, Grades 6-8

Author: John SanGiovanni
Publisher: Corwin Press
ISBN: 1506379834
Category : Education
Languages : en
Pages : 409

Book Description
Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni and Jennifer Rose Novak help us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. The authors lay out 180 high-quality tasks aligned to the standards and big ideas of Grades 6–8 mathematics, including number systems, integers, ratio and proportion, equations and expressions, geometry, and statistics and probability. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task four student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning, better at discerning the quality and clarity of students’ understanding, and better at planning teaching based on the gaps you see.

Mine the Gap for Mathematical Understanding

Author: John SanGiovanni
Publisher:
ISBN:
Category : Elementary school teachers
Languages : en
Pages : 0

Book Description
Discover the reasons behind elementary mathematics students' errors, including those in grades 3 through 5, to lead them to correct mathematics.

Uncovering Student Thinking in Mathematics, Grades K-5

Author: Cheryl Rose Tobey
Publisher: Corwin Press
ISBN: 1452223866
Category : Education
Languages : en
Pages : 233

Book Description
This book provides 25 easily administered assessments of learners' math knowledge that help teachers monitor learning in real time and improve all students' math skills.

Children's Errors in Mathematics

Author: Alice Hansen
Publisher: Learning Matters
ISBN: 1473905532
Category : Education
Languages : en
Pages : 305

Book Description
This practical guide to children’s common errors and misconceptions in mathematics is a popular planning tool for primary trainees. It supports a deeper understanding of the difficulties encountered in mathematical development. This third edition has been updated to link to the new National Curriculum. New for this edition is a chapter on addressing errors misconceptions which explores how errors can best be identified and countered. The text examines misconceptions individually and in each case provides a description of the error alongside an explanation of why the error happens. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions.

The School of Numbers

Author: Emily Hawkins
Publisher: Wide Eyed Editions
ISBN: 1786031841
Category : Juvenile Nonfiction
Languages : en
Pages : 99

Book Description
Greetings Cadet! Congratulations on being accepted into the prestigious Astro Academy for math! Now strap on your space boots, secure you helmet and let’s get ready for a mathematical journey like no other! Hop on board the spaceship School of Numbers and head off on an intergalactic mathematical journey that will introduce young readers to key concepts including arithmetic, shapes, fractions, percentages, and sequences. Six eccentric professors will teach budding space mathematic Cadets all there is to know about the world of numbers! Meet Captain Archimedes Brown who keeps everyone in order; Lois Carmen Denominator who’s got a passion for fractions; Di Ameter who’s a stickler for geometry; Al Jabra who loves algebra; Ava Ridge who’s looney for statistics; and last but certainly not least, Adam Up who just can’t get enough of arithmetic! Float into this gravity-free classroom, prepare yourself for antics aplenty and get ready to see math in action like never before.

A Teacher's Guide to the Multigenre Research Project

Author: Melinda Putz
Publisher: Heinemann Educational Books
ISBN: 9780325098241
Category : Education
Languages : en
Pages : 208

Book Description
A Teacher's Guide to the Multigenre Research Project is pointed, clear-eyed, and convincing. It will enhance the satisfaction you take from working with teenagers. You'll be a better teacher, and your students will be better researchers and writers. -Tom Romano, author of Blending Genre, Altering Style Have you heard? The multigenre research project is growing in popularity with both students and teachers. That's because it's such a powerful way to engage students in reading, writing, and critical analysis across the curriculum. Despite all this, you might not know exactly how to take advantage of this exciting new approach to research writing, what to expect a multigenre classroom to look like, or how to assess students' projects. With A Teacher's Guide to the Multigenre Research Project, you soon will. A Teacher's Guide to the Multigenre Research Project is a ready-to-go resource for helping students create rich, dynamic, and complex projects. Melinda Putz is a veteran of the multigenre project, and she shares all the crucial details about making it work and assessing the finished product, including: suggestions for organizing and planning, including an example schedule advice on helping students choose topics chapters on introducing students to new genres-and reintroducing them to old ones ideas for teaching revision and cohesion specific techniques for evaluation thirty-five reproducible handouts for use throughout the process. Not only that, Putz includes online resources with numerous tabletop displays of finished projects as well as one entire project shown piece by piece. A Teacher's Guide to the Multigenre Research Project is so practical it even includes ways to adapt the project for use with groups, troubleshooting tips, and, best of all, a research-supported rationale for using multigenre research to meet national and state standards. If you've been hearing the exciting buzz about multigenre assignments, but you're unsure how to get started read A Teacher's Guide to the Multigenre Research Project. Then begin teaching it and find out what everyone's talking about.

Elements of Number Theory

Author: I. M. Vinogradov
Publisher: Courier Dover Publications
ISBN: 0486160351
Category : Mathematics
Languages : en
Pages : 244

Book Description
Clear, detailed exposition that can be understood by readers with no background in advanced mathematics. More than 200 problems and full solutions, plus 100 numerical exercises. 1949 edition.

Multiplication: Factors 0 to 5, Grades 2 - 3

Author: Theresa Warnick
Publisher: Carson-Dellosa Publishing
ISBN: 0764703951
Category : Juvenile Nonfiction
Languages : en
Pages : 76

Book Description
Master math facts with speed and accuracy with the One-Minute Math series! This book provides one-minute multiplication timed tests one fact at a time for sums 0 to 10. The systematic approach allows students to see their own daily improvements. Great for students in regular classroom settings as well as students in special education. Includes reproducible test pages with answer key, activity sheets, progress charts, a pretest and post- test, bulletin board patterns, a letter to parents, games, awards, and flash cards!