Sign-In
Cart
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms
Paperback
General MathematicsTeaching Instruction
ISBN13: 9789400792937
Publisher: Springer
Published: Nov 23 2014
Pages: 224
Weight: 0.77
Height: 0.52 Width: 6.14 Depth: 9.21
Language: English
Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level.
This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.
Also in
Teaching Instruction
Supporting Underserved Students: How to Make Pbis Culturally and Linguistically Responsive (Pbis-Compatible Resources for Culturally and Linguisticall
Russell Jr, Daniel
Hollie, Sharroky
Paperback
How to Educate a Citizen: The Power of Shared Knowledge to Unify a Nation
Hirsch, E. D., Jr.
Hardcover
Thank You, Teachers: True Stories from America's Teachers, Our Last Line of Defense and Our First Line of Hope
Patterson, James
Eversmann, Matt
Hardcover
Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention
Bay-Williams, Jennifer
Kling, Gina
Paperback
ASVAB Study Guide Premium, Fourteenth: 7 Practice Tests + Comprehensive Review + Online Practice (Barron's Test Prep)
Duran, Terry L.
Paperback
Teach Like a Champion 3.0: 63 Techniques That Put Students on the Path to College
Lemov, Doug
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
AI Literacy in Any Class: Preparing Students to Thrive in an AI Future in Any Grade Level or Content Area
Miller, Matt
Paperback
Scholastic Success with Reading Comprehension Grade 3 Workbook
Scholastic Teaching Resources
Paperback
Total Participation Techniques: Making Every Student an Active Learner
Himmele, Pérsida
Himmele, William
Paperback
Beyond the Science of Reading: Connecting Literacy Instruction to the Science of Learning
Wexler, Natalie
Paperback
Better Than Carrots or Sticks: Restorative Practices for Positive Classroom Management
Fisher, Douglas
Frey, Nancy
Smith, Dominique
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
Scholastic Success with Reading Comprehension Grade 5 Workbook
Scholastic Teaching Resources
Paperback
The Power of the Socratic Classroom: Students. Questions. Dialogue. Learning.
Fischer, Charles Ames
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
Greek Myth Plays, Grades 3-5: 10 Readers Theater Scripts Based on Favorite Greek Myths That Students Can Read and Reread to Develop Their Fluency
Pugliano, Carol
Pugliano-Martin, Carol
Paperback
Erased: True Stories about Race and Racism in America That You Probably Weren't Taught in School
Khanna, Nikki
Korgen, Kathleen
Hardcover
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
The Resistance Solution: Why Educators Resist Change and What They Need Instead
Silver, Becca
Paperback
The Writing Rope: A Framework for Explicit Writing Instruction in All Subjects
Sedita, Joan
Paperback
The Essential Homeschool Kindergarten Workbook: 135 Fun Curriculum-Based Activities to Build Reading, Writing, and Math Skills!
Lewallen, Hayley
Paperback
Learn to Read Activity Book: 101 Fun Phonics Lessons to Teach Your Child to Read
Braun, Hannah, M. Ed
Paperback
Unearthing Joy: A Guide to Culturally and Historically Responsive Curriculum and Instruction
Muhammad, Gholdy
Paperback
Reading Assessment Done Right: Tools and Techniques for Data-Driven Instruction
Winn, Kate
Stollar, Stephanie
Paperback
Next Steps in Literacy Instruction: Connecting Assessments to Effective Interventions
Smartt, Susan, PH. D.
Glaser, Deborah, Ed D.
Paperback
AP U.S. Government and Politics Premium, 2027: Prep Book with 6 Practice Tests + Comprehensive Review + Online Practice (Barron's AP Prep)
Lader, Curt, M. S. Ed
Paperback
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
Explicit Direct Instruction (Edi): The Power of the Well-Crafted, Well-Taught Lesson
Ybarra, Silvia E.
Hollingsworth, John R.
Paperback
Powerful Writing Structures: Brain Pocket Strategies for Supporting a Year-Long Writing Program
Gear, Adrienne
Paperback
Scholastic Success with Reading Comprehension Grade 1 Workbook
Scholastic Teaching Resources
Paperback
The Essentials of Adolescent Literacy: Integrating Evidence-Based Reading and Writing Instruction in Grades 5-12
Sedita, Joan
Paperback
Scholastic Success with Multiplication & Division Grade 3 Workbook
Scholastic Teaching Resources
Paperback
The Reading Strategies Book 2.0: Your Research-Based Guide to Developing Skilled Readers
Serravallo, Jennifer
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
Teach Like a Pirate: Increase Student Engagement, Boost Your Creativity, and Transform Your Life as an Educator
Burgess, Dave
Paperback
The Blue Book of Grammar and Punctuation, Updated & Expanded: An Easy-To-Use Guide with Clear Rules, Real-World Examples, and Reproducible Quizzes
Straus, Jane
Kaufman, Lester
Paperback
Enhancing Professional Practice: The Framework for Teaching
Danielson, Charlotte
Furman, Jim S.
Kappes, Lee
Paperback
Creating a Language-Rich Math Class: Strategies and Activities for Building Conceptual Understanding
Atkins, Sandra L.
Paperback
Story of the World, Vol. 1: History for the Classical Child: Ancient Times
Bauer, Susan Wise
Paperback
Small Groups, Big Results: Evidence-Based Routines to Get Every Child Reading
Lindsey, Julia
Paperback
Specially Designed Instruction: Increasing Success for Students with Disabilities
Beninghof, Anne M.
Paperback
Fostering Resilient Learners: Strategies for Creating a Trauma-Sensitive Classroom
Hall, Pete
Souers, Kristin
Paperback
A Visual, Step-By-Step Guide for Re-Envisioning Rigor: Powerful Routines for Promoting Learning at High Levels
Eisberg, Aaron
McDowell, Michael
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
ASE Technician Test Preparation Automotive Maintenance and Light Repair (G1)
Delmar Cengage Learning
Paperback
The Vocabulary Workbook for 7th Grade: Weekly Activities to Boost Your Word Power
McLellan, Kelly Anne
Paperback
Thank You, Teachers: True Stories from America's Teachers, Our Last Line of Defense and Our First Line of Hope (Large Print Edition)
Patterson, James
Eversmann, Matt
Paperback
The Fundamental 5 For Instructional Rigor: Five Fundamental Practices To Power Up Student Thinking
Cain, Sean
Paperback
180 Days(r) Reading for Fifth Grade, 2nd Edition: Practice, Assess, Diagnose
Kopp, Kathleen N.
Kopp, Kathy
Levsey, Dylan
Paperback
The English Grammar Workbook for Adults: A Self-Study Guide to Improve Functional Writing
Digiacomo, Michael
Paperback
The Megabook of Vocabulary: Strategies to Boost Word Learning for Reading, Writing, Speaking, and Listening
Campbell, Savannah
Rasinski, Timothy V.
Cheesman Smith, Melissa
Paperback
Relationship, Responsibility, and Regulation: Trauma-Invested Practices for Fostering Resilient Learners
Souers, Kristin Van Marter
Hall, Pete
Paperback
50 Graphic Organizers for Reading, Writing & More: Reproducible Templates, Student Samples, and Easy Strategies to Support Every Learner
DeVitis, Linda Irwin
Modlo, Marcia
Bromley, Karen
Paperback
Teaching Writing Through Differentiated Instruction with Leveled Graphic Organizers
Witherell, Nancy L.
McMackin, Mary C.
Paperback
The Teach Like a Champion Guide to the Science of Reading: Translating Research to Reignite Joy and Meaning in the Classroom
Lemov, Doug
Driggs, Colleen
Woolway, Erica
Paperback
Making Things Right: Activities that Teach Restorative Justice, Conflict Resolution, Mediation, and Discipline That Restores Includes 32 De
Claassen, Roxanne Harvin
Claassen, Ron
Paperback
Making Words Stick: A Four-Step Instructional Routine to Power Up Orthographic Mapping
Ness, Molly
Miles, Katie Pace
Paperback
New Art and Science of Teaching: More Than Fifty New Instructional Strategies for Academic Success
Marzano, Robert J.
Paperback
Leveled Reading, Leveled Lives: How Students' Reading Achievement Has Been Held Back and What We Can Do about It
Shanahan, Timothy
Paperback
Daily Word Ladders Content Areas, Grades 4-6
Smith, Melissa Cheesman
Cheesman Smith, Melissa
Rasinski, Timothy V.
Paperback
Mastering Essential Math Skills Book 2, Bilingual Edition - English/Spanish
Fisher, Richard W.
Paperback
Instructional Rounds in Education: A Network Approach to Improving Teaching and Learning
Fiarman, Sarah E.
City, Elizabeth A.
Elmore, Richard F.
Paperback
180 Days(r) Reading for Seventh Grade: Practice, Assess, Diagnose
Davies, Monika
Edgerton, Jennifer
Rhatigan, Joe
Paperback
180 Days(r) Reading for Fourth Grade, 2nd Edition: Practice, Assess, Diagnose
Slepian, Curtis
Kemp, Kristin
Paperback
The Writing Strategies Book: Your Everything Guide to Developing Skilled Writers
Serravallo, Jennifer
Paperback
180 Days(r) Science for Sixth Grade: Practice, Assess, Diagnose
Bayne, Bebra
Homayoun, Lauren
Paperback
Data Wise, Third Edition: Educators Collaborating So Each Learner Thrives
Boudett, Kathryn Parker
Bocala, Candice
Paperback
Untangling Data-Based Decision Making: A Problem-Solving Model to Enhance Mtss (a Practical Tool to Help You Make Sense of Student Data for Effective
Harlacher, Jason E.
Collins, Adam
Potter, Jon
Paperback
101 Answers for New Teachers and Their Mentors: Effective Teaching Tips for Daily Classroom Use
Breaux, Annette
Paperback
The Active Learning Revolution: Dynamic Engagement Strategies for Every Classroom
Biegun, Daniel
Paperback
Thinking Through Writing: A Guide to Becoming a Better Writer and Thinker
Van Belle, Jonathan
Kaag, John
Paperback
Fact & Fiction: How to Write a Novel Inspired by Family and History
Matsumoto, Constance Hays
Paperback
The Megabook of Fluency, 2nd Edition: Strategies and Texts to Engage All Readers
Rasinski, Timothy V.
Cheesman Smith, Melissa
Paperback
Universal Design for Learning in English Language Arts: Improving Literacy Instruction Through Inclusive Practices
Novak, Katie
Hinkle, Ryan
Parker, Brianne
Paperback
Calligraphy Book for Beginners: Practice Workbook with Guide - Basic Techniques, Hand Lettering and Projects for Learning to Letter
Memoirs, Quillscribe
Paperback
Interacting with Color: A Practical Guide to Josef Albers's Color Experiments
Horstman, Fritz
Paperback
Science in Seconds for Kids: Over 100 Experiments You Can Do in Ten Minutes or Less
Potter, Jean
Stier, Samuel Cord
Paperback