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Visible Learning for Mathematics, Grades K-12 de John Hattie

Visible Learning for Mathematics, Grades K-12

Autor John Hattie, Douglas Fisher, Nancy Frey
en Limba Engleză Paperback – 16 sep 2016

Lucrarea Visible Learning for Mathematics, Grades K-12 aduce o perspectivă riguroasă, bazată pe date, într-un domeniu adesea dominat de dispute metodologice. Aceasta nu propune o singură tehnică „magică”, ci oferă un cadru decizional care indică exact CÂND trebuie aplicată o anumită strategie de predare în funcție de etapa de achiziție a elevului. Considerăm că valoarea adăugată a acestei ediții constă în integrarea cercetării masive a lui John Hattie cu practici specifice disciplinei matematice, transformând metaanalizele abstracte în instrumente de lucru imediate.

Apreciem organizarea progresivă a cărții, care ghidează cadrul didactic prin cele trei stadii critice: învățarea de suprafață (explorarea conceptelor și vocabularului), învățarea de profunzime (rezolvarea sarcinilor cognitive complexe și generalizarea) și faza de transfer (aplicarea autonomă în situații noi). Această abordare este o alternativă structurată la Visible Thinking in the K–8 Mathematics Classroom pentru cursurile de metodică a matematicii, oferind avantajul unei baze de date mult mai vaste și a unei acoperiri complete a ciclului K-12.

În contextul operei lui John Hattie, acest volum continuă direcția aplicată începută cu Visible Learning: Feedback sau 10 Mindframes for Visible Learning, dar se distinge prin focalizarea pe specificul matematic. Primele capitole pun bazele teoretice ale „învățării vizibile”, în timp ce secțiunile ulterioare, susținute de clipuri video și șabloane, oferă claritate didactică prin definirea precisă a criteriilor de succes. Este o resursă care elimină presupunerile din actul de predare, înlocuindu-le cu o precizie chirurgicală în alegerea sarcinilor de lucru.

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Specificații

ISBN-13: 9781506362946
ISBN-10: 150636294X
Pagini: 306
Dimensiuni: 191 x 235 x 17 mm
Greutate: 0.58 kg
Ediția:1
Editura: Corwin
Locul publicării:Thousand Oaks, United States

De ce să citești această carte

Recomandăm această carte profesorilor de matematică și specialiștilor în curriculum care doresc să depășească intuiția în favoarea dovezilor clare. Cititorul câștigă o strategie precisă pentru a selecta sarcinile de lucru potrivite fiecărei etape de învățare, asigurând un progres vizibil și măsurabil. Este instrumentul esențial pentru a transforma matematica dintr-o serie de proceduri memorate într-o competență transferabilă în contexte reale.

Despre autor

John Hattie este un renumit profesor de educație și director al Institutului de Cercetare în Educație din Melbourne, recunoscut la nivel mondial pentru sinteza sa monumentală a metaanalizelor privind performanța școlară. Cariera sa s-a concentrat pe dezvoltarea unor modele de predare bazate pe dovezi cantitative, fiind un promotor al conceptului de „Visible Learning”. Alături de Douglas Fisher și Nancy Frey, experți în alfabetizare și design instrucțional, Hattie adaptează aici descoperirile sale despre mărimea efectului (effect size) la particularitățile predării matematicii, consolidând o serie de ghiduri practice utilizate în sisteme de învățământ din întreaga lume.

Descriere scurtă

Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it's not about which one-it's about when-and show you how to design high-impact instruction so all students demonstrate more than a year's worth of mathematics learning for a year spent in school. That's a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie's synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When-through carefully constructed experiences-students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When-through the solving of rich high-cognitive tasks and rigorous discussion-students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Cuprins

List of Figures
List of Videos
About the Teachers Featured in the Videos
Foreword
About the Authors
Acknowledgments
Preface
Chapter 1. Make Learning Visible in Mathematics
Forgetting the Past
What Makes for Good Instruction?
The Evidence Base
Meta-Analyses
Effect Sizes
Noticing What Does and Does Not Work
Direct and Dialogic Approaches to Teaching and Learning
The Balance of Surface, Deep, and Transfer Learning
Surface Learning
Deep Learning
Transfer Learning
Surface, Deep, and Transfer Learning Working in Concert
Conclusion
Reflection and Discussion Questions
Chapter 2. Making Learning Visible Starts With Teacher Clarity
Learning Intentions for Mathematics
Student Ownership of Learning Intentions
Connect Learning Intentions to Prior Knowledge
Make Learning Intentions Inviting and Engaging
Language Learning Intentions and Mathematical Practices
Social Learning Intentions and Mathematical Practices
Reference the Learning Intentions Throughout a Lesson
Success Criteria for Mathematics
Success Criteria Are Crucial for Motivation
Getting Buy-In for Success Criteria
Preassessments
Conclusion
Reflection and Discussion Questions
Chapter 3. Mathematical Tasks and Talk That Guide Learning
Making Learning Visible Through Appropriate Mathematical Tasks
Exercises Versus Problems
Difficulty Versus Complexity
A Taxonomy of Tasks Based on Cognitive Demand
Making Learning Visible Through Mathematical Talk
Characteristics of Rich Classroom Discourse
Conclusion
Reflection and Discussion Questions
Chapter 4. Surface Mathematics Learning Made Visible
The Nature of Surface Learning
Selecting Mathematical Tasks That Promote Surface Learning
Mathematical Talk That Guides Surface Learning
What Are Number Talks, and When Are They Appropriate?
What Is Guided Questioning, and When Is It Appropriate?
What Are Worked Examples, and When Are They Appropriate?
What Is Direct Instruction, and When Is It Appropriate?
Mathematical Talk and Metacognition
Strategic Use of Vocabulary Instruction
Word Walls
Graphic Organizers
Strategic Use of Manipulatives for Surface Learning
Strategic Use of Spaced Practice With Feedback
Strategic Use of Mnemonics
Conclusion
Reflection and Discussion Questions
Chapter 5. Deep Mathematics Learning Made Visible
The Nature of Deep Learning
Selecting Mathematical Tasks That Promote Deep Learning
Mathematical Talk That Guides Deep Learning
Accountable Talk
Supports for Accountable Talk
Teach Your Students the Norms of Class Discussion
Mathematical Thinking in Whole Class and Small Group Discourse
Small Group Collaboration and Discussion Strategies
When Is Collaboration Appropriate?
Grouping Students Strategically
What Does Accountable Talk Look and Sound Like in Small Groups?
Supports for Collaborative Learning
Supports for Individual Accountability
Whole Class Collaboration and Discourse Strategies
When Is Whole Class Discourse Appropriate?
What Does Accountable Talk Look and Sound Like in Whole Class Discourse?
Supports for Whole Class Discourse
Using Multiple Representations to Promote Deep Learning
Strategic Use of Manipulatives for Deep Learning
Conclusion
Reflection and Discussion Questions
Chapter 6. Making Mathematics Learning Visible Through Transfer Learning
The Nature of Transfer Learning
Types of Transfer: Near and Far
The Paths for Transfer: Low-Road Hugging and High-Road Bridging
Selecting Mathematical Tasks That Promote Transfer Learning
Conditions Necessary for Transfer Learning
Metacognition Promotes Transfer Learning
Self-Questioning
Self-Reflection
Mathematical Talk That Promotes Transfer Learning
Helping Students Connect Mathematical Understandings
Peer Tutoring in Mathematics
Connected Learning
Helping Students Transform Mathematical Understandings
Problem-Solving Teaching
Reciprocal Teaching
Conclusion
Reflection and Discussion Questions
Chapter 7. Assessment, Feedback, and Meeting the Needs of All Learners
Assessing Learning and Providing Feedback
Formative Evaluation Embedded in Instruction
Summative Evaluation
Meeting Individual Needs Through Differentiation
Classroom Structures for Differentiation
Adjusting Instruction to Differentiate
Intervention
Learning From What Doesn’t Work
Grade-Level Retention
Ability Grouping
Matching Learning Styles With Instruction
Test Prep
Homework
Visible Mathematics Teaching and Visible Mathematics Learning
Conclusion
Reflection and Discussion Questions
Appendix A. Effect Sizes
Appendix B. Standards for Mathematical Practice
Appendix C. A Selection of International Mathematical Practice or Process Standards
Appendix D- Eight Effective Mathematics Teaching Practices
Appendix E. Websites to Help Make Mathematics Learning Visible
References
Index

Notă biografică

John Hattie, Ph.D., is an award-winning education researcher and best-selling author with nearly 30 years of  experience examining what works best in student learning and achievement. His research, better known as Visible Learning, is a culmination of nearly 30 years synthesizing more than 1,700 meta-analyses comprising more than 100,000 studies involving over 300 million students around the world. He has presented and keynoted in over 350 international conferences and has received numerous recognitions for his contributions to education. His notable publications include Visible Learning, Visible Learning for Teachers, Visible Learning and the Science of How We Learn, Visible Learning for Mathematics, Grades K-12, and 10 Mindframes for Visible Learning.

Descriere

Discover the right mathematics strategy to use at each learning phase so all students demonstrate more than a year's worth of learning per school year.