Sign-In
Cart
Learning Over Time: Learning Trajectories in Mathematics Education
Paperback
General EducationGeneral Mathematics
ISBN13: 9781623965686
Publisher: Information Age Publishing
Published: Jun 18 2014
Pages: 288
Weight: 0.90
Height: 0.60 Width: 6.14 Depth: 9.21
Language: English
The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics--how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings--and how to use these insights to improve instruction and student learning. In this book, readers will come to understand what learning trajectories are, the research and methodology that are necessary for developing them, and gain insight into potential applications of learning trajectories.
A synthesis and research outcome in their own right, learning trajectories provide detailed description of instructionally-grounded development of mathematical concepts and reasoning from the perspective of student learning, and, overall, building on decades of accumulated experience in mathematics education research. However, their greater importance may lie in their potential as frameworks that contribute an unprecedented coherence across classroom instruction, professional development, standards, and assessment, by focusing squarely on conceptual understanding and reasoning instead of assessment-driven procedural knowledge. This potential was sufficiently compelling as an organizing framework to have been cited as a basis for the Common Core mathematics standards, the new mathematics learning expectations that are now consistent across most of the United States. (Among the conference attendees were the writers of the Common Core State Standards for Mathematics, at the beginning of the Standards drafting process.)
This book is an outgrowth of a conference on learning trajectories, hosted in 2009 at North Carolina State University, which examined research on learning trajectories. An overarching message of the chapters in this volume is that learning trajectories, by focusing on how children's mathematical reasoning develops, are coming into their own as a rigorous underpinning for both instruction and accountability. Some of the learning scientists featured in this volume have played major roles learning trajectories' evolution--from small-scale day-to-day conjectures by individual teachers, to systematic research endeavors that teachers and scientists alike can use to interpret standards, plan instruction, and formatively assess student work. The work in this volume will be of interest to mathematics educators, teachers, and professional development specialists.
Also in
General Education
A Light in Dark Times: The New School for Social Research and Its University in Exile
Friedlander, Judith
Paperback
How to Educate a Citizen: The Power of Shared Knowledge to Unify a Nation
Hirsch, E. D., Jr.
Hardcover
Culturally and Linguistically Responsive Teaching and Learning: Classroom Practices for Student Success
Hollie, Sharroky
Paperback
The College Scam: How America's Universities Are Bankrupting and Brainwashing Away the Future of America's Youth
Kirk, Charlie
Hardcover
Homeschooled: A New York Times Bestselling Memoir and Read with Jenna Pick
Merrill Block, Stefan
Hardcover
7-Figure Educator: Turn Your Experience as an Educator Into Income, Impact, and Freedom
Jordan-Thomas, Erica
Paperback
Light Up the Learning Brain: 7 Keys to Reducing Disruptive Behavior in the Classroom
Sinarski, Jessica
Paperback
Why You Should Read Children's Books, Even Though You Are So Old and Wise
Rundell, Katherine
Hardcover
Loteria: First Words / Primeras Palabras (Bilingual: English/Spanish): A Bilingual Picture Book
Rodriguez, Patty
Stein, Ariana
Hardcover
The Digital Delusion: How Classroom Technology Harms Our Kids' Learning--And How to Help Them Thrive Again; Updated Edition
Cooney Horvath, Jared, PhD Med
Paperback
The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness
Ramsey, Dave
Hardcover
Teach Like a Champion 3.0: 63 Techniques That Put Students on the Path to College
Lemov, Doug
Paperback
Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention
Bay-Williams, Jennifer
Kling, Gina
Paperback
The Neurodivergent Learner: A New Approach to Your Child's Success in the Classroom and Beyond
King, Emily W., PhD
Hardcover
The College Finder: Your comprehensive guide to finding colleges that fit YOUR unique path
Antonoff, Steven R.
McCann M. S., Jay
Paperback
Poisoned Ivies: The Inside Account of the Academic and Moral Rot at America's Elite Universities
Stefanik, Elise
Hardcover
The Kids Who Aren't Okay: The Urgent Case for Reimagining Support, Belonging, and Hope in Schools
Greene, Ross W.
Hardcover
The Joy of Money: How to Do More with and Feel Better about Your Money--No Matter How Much You Have
Grimes, Carrie Joy
Hardcover
The Best 392 Colleges, 2027: In-Depth Profiles & Ranking Lists to Help Find the Right College for You
The Princeton Review
Franek, Robert
Soto, David
Paperback
Miracle Children: Race, Education, and a True Story of False Promises
Benner, Katie
Green, Erica L.
Hardcover
The Power of the Socratic Classroom: Students. Questions. Dialogue. Learning.
Fischer, Charles Ames
Paperback
The People's Guide to College Applications: A Week-By-Week Approach to Writing, Connecting, and Getting in
Constantino, Jill
Paperback
Lies My Teacher Told Me: Everything Your American History Textbook Got Wrong
Loewen, James W.
Paperback
Scholastic Success with Reading Comprehension Grade 2 Workbook
Scholastic Teaching Resources
Paperback
Scholastic Success with Reading Comprehension Grade 4 Workbook
Scholastic Teaching Resources
Paperback
Better Than Carrots or Sticks: Restorative Practices for Positive Classroom Management
Smith, Dominique
Fisher, Douglas
Frey, Nancy
Paperback
The Station Rotation Model & UDL: Elevate Tier 1 Instruction and Cultivate Learner Agency
Tucker, Catlin R.
Paperback
Permission to Feel: The Power of Emotional Intelligence to Achieve Well-Being and Success
Brackett, Marc
Paperback
Scholastic Success with Reading Comprehension Grade 3 Workbook
Scholastic Teaching Resources
Paperback
Culturally Responsive Teaching and the Brain: Promoting Authentic Engagement and Rigor Among Culturally and Linguistically Diverse Students
Hammond, Zaretta L.
Paperback
Financial Feminist: Overcome the Patriarchy's Bullsh*t to Master Your Money and Build a Life You Love
Dunlap, Tori
Hardcover
Original Sins: The (Mis)Education of Black and Native Children and the Construction of American Racism
Ewing, Eve L.
Paperback
One Trusted Adult: How to Build Strong Connections & Healthy Boundaries with Young People
Raney Edd, Brooklyn
Paperback
Mtss for Reading Improvement: A Leader's Tool Kit for Schoolwide Success (Reading Science in Action: An Mtss Tool Kit)
Brown, Sarah
Stollar, Stephanie
Paperback
What's So Great about the Great Books?: Why You Should Read Classic Literature (Even Though It Might Destroy You)
Kanakia, Naomi
Hardcover
The Addiction Recovery Workbook: Powerful Skills for Preventing Relapse Every Day
Freedman, Paula A.
Paperback
First Little Readers Parent Pack: Guided Reading Level a: 25 Irresistible Books That Are Just the Right Level for Beginning Readers
Charlesworth, Liza
Schecter, Deborah
Paperback
Universal Design for Learning: Principles, Framework, and Practice
Rose, David H.
Meyer, Anne
Paperback
The Writing Revolution 2.0: A Guide to Advancing Thinking Through Writing in All Subjects and Grades
Hochman, Judith C.
Wexler, Natalie
Paperback
Setting Limits in the Classroom, 3rd Edition: A Complete Guide to Effective Classroom Management with a School-Wide Disciplineplan
Stanzione, Lisa
MacKenzie, Robert J.
Paperback
How to Take Smart Notes: One Simple Technique to Boost Writing, Learning and Thinking
Ahrens, Sönke
Paperback
Supporting Student Executive Functions: Insights and Strategies for Educators
Carey, Lisa
Reid, Alexis
Paperback
Beyond the Science of Reading: Connecting Literacy Instruction to the Science of Learning
Wexler, Natalie
Paperback
The Fallacy Detective: Thirty-Eight Lessons on How to Recognize Bad Reasoning
Bluedorn, Hans
Bluedorn, Nathaniel
Paperback
Hacking School Discipline: 9 Ways to Create a Culture of Empathy and Responsibility Using Restorative Justice
Maynard, Nathan
Weinstein, Brad
Paperback
Powerful Writing Structures: Brain Pocket Strategies for Supporting a Year-Long Writing Program
Gear, Adrienne
Paperback
Reading Assessment Done Right: Tools and Techniques for Data-Driven Instruction
Stollar, Stephanie
Winn, Kate
Paperback
Scholastic Success with Reading Comprehension Grade 5 Workbook
Scholastic Teaching Resources
Paperback
Unearthing Joy: A Guide to Culturally and Historically Responsive Curriculum and Instruction
Muhammad, Gholdy
Paperback
The Naked Roommate: And 107 Other Issues You Might Run Into in College (Revised and Updated)
Cohen, Harlan
Paperback
The Opposite of Cheating: Teaching for Integrity in the Age of AI Volume 4
Rettinger, David A.
Bertram Gallant, Tricia
Paperback
The Preparation: How To Become Competent, Confident, and Dangerous
Smith, Matt
Smith, Maxim
Casey, Doug
Hardcover
AI with Intention: Principles and Action Steps for Teachers and School Leaders
Frontier, Tony
Paperback
The Essential Homeschool Kindergarten Workbook: 135 Fun Curriculum-Based Activities to Build Reading, Writing, and Math Skills!
Lewallen, Hayley
Paperback
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
Illuminating Care: The Pedagogy and Practice of Care in Early Childhood Communities
Garboden Murray, Carol
Paperback
The Inspired Homeschool: How History's Heroes Light a Path Toward Joyful, Confident Learning
Pepito, Jennifer
Hardcover
The Resistance Solution: Why Educators Resist Change and What They Need Instead
Silver, Becca
Paperback
Your Students, My Students, Our Students: Rethinking Equitable and Inclusive Classrooms
Jung, Lee Ann
Frey, Nancy
Fisher, Douglas
Paperback
MANUAL SUPERANDO PÉRDIDAS EMOCIONALES, vigésimo aniversario, edición extendida: programa de acción para superar la muerte, el divorcio y otras pérdida
James, John W.
Friedman, Russell
Paperback
The Golden Thread: A History of the Western Tradition, Volume I: The Ancient World and Christendom
Hankins, James
Guelzo, Allen C.
Hardcover
The Essentials of Adolescent Literacy: Integrating Evidence-Based Reading and Writing Instruction in Grades 5-12
Sedita, Joan
Paperback
What Happened to College?: How Politics Broke Higher Education and What We Can Do to Fix It
Gross, Neil
Hardcover
Teaching with Dignity: How to Create Classroom Ecosystems Where People Thrive
Cobb, Floyd
Snyder, Summer
Krownapple, John
Paperback
Fostering Resilient Learners: Strategies for Creating a Trauma-Sensitive Classroom
Souers, Kristin
Hall, Pete
Paperback
CompTIA Tech+ Certification All-in-One Exam Guide, Third Edition (Exam FC0-U71)
Wempen, Faithe
Paperback
Creating a Language-Rich Math Class: Strategies and Activities for Building Conceptual Understanding
Atkins, Sandra L.
Paperback
Learn to Read Activity Book: 101 Fun Phonics Lessons to Teach Your Child to Read
Braun, Hannah, M. Ed
Paperback
Thriving with ADHD Workbook for Kids: 60 Fun Activities to Help Children Self-Regulate, Focus, and Succeed
Miller, Kelli, Lcsw MSW
Paperback
Enhancing Professional Practice: The Framework for Teaching
Furman, Jim S.
Kappes, Lee
Danielson, Charlotte
Paperback
Facing the Fantasy, Finding the Way Forward: Every Educator's Guide to Moving Beyond Behavior Management to Lasting Behavioral Change Using Neuroscien
Bowman, Rick
Bowman, Doris
Paperback
Handwriting Practice Book for Kids Ages 6-8: Printing workbook for Grades 1, 2 & 3, Learn to Trace Alphabet Letters and Numbers 1-100, Sight Words, 10
Lalgudi, Sujatha
Hippidoo
Paperback
The Preparation: How To Become Competent, Confident, and Dangerous
Smith, Matt
Smith, Maxim
Casey, Doug
Paperback
First Little Readers Parent Pack: Guided Reading Level B: 25 Irresistible Books That Are Just the Right Level for Beginning Readers
Schecter, Deborah
Charlesworth, Liza
Paperback
The Principal's Playbook on Instructional Leadership: 23 Things That Matter Most for Improving Student Achievement
McLaurin Ed D. Nbct, Josh
Paperback
Scholastic Success with Reading Comprehension Grade 1 Workbook
Scholastic Teaching Resources
Paperback
The Shift to Student-Led: Reimagining Classroom Workflows with UDL and Blended Learning
Tucker, Catlin
Novak, Katie
Paperback
Smart Teaching Stronger Learning: Practical Tips From 10 Cognitive Scientists
Agarwal, Pooja K.
Paperback
Teach Like a Pirate: Increase Student Engagement, Boost Your Creativity, and Transform Your Life as an Educator
Burgess, Dave
Paperback
The 5 Love Languages of Children: The Secret to Loving Children Effectively
Chapman, Gary
Campbell, Ross
Paperback
Teaching with AI: A Practical Guide to a New Era of Human Learning
Watson, C. Edward
Bowen, José Antonio
Paperback
The Writing Revolution 2.0: A Guide to Advancing Thinking Through Writing in All Subjects and Grades
Wexler, Natalie
Hochman, Judith C.
Paperback