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Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 3-10 de Cathy Humphreys

Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 3-10

Autor Cathy Humphreys, Ruth Parker
en Limba Engleză Paperback – 3 apr 2015

Concepută ca o referință profesională esențială pentru cadrele didactice din învățământul primar și secundar, Making Number Talks Matter propune o metodologie riguroasă pentru transformarea orei de matematică într-un spațiu de explorare activă. Suntem de părere că miza acestui volum nu este doar predarea unor algoritmi de calcul, ci dezvoltarea unei înțelegeri conceptuale profunde prin rutine zilnice de 15 minute. Observăm o structură pragmatică, organizată pe capitole ce acoperă progresiv operațiile de bază — de la adunarea și scăderea pe diferite niveluri de studiu, până la gestionarea fracțiilor și a numerelor zecimale.

Textul se distinge prin utilizarea vignetelor din sălile de clasă, oferind modele reale de interacțiune între profesor și elevi. Autorii Cathy Humphreys și Ruth Parker extind cadrul propus de Talking Mathematics in School de Magdalene Lampert, punând însă un accent mai mare pe instrumente practice de intervenție imediată în fața erorilor de logică. Spre deosebire de abordările pur teoretice, această lucrare oferă soluții pentru „punctele critice” ale unei discuții matematice, învățându-i pe profesori cum să asculte activ și cum să ghideze elevii spre auto-corectare fără a inhiba participarea.

În contextul operei sale, Cathy Humphreys aduce aici expertiza sa în comunicare și mediere, vizibilă și în lucrări precum Talking about Domestic Abuse, unde dialogul este folosit ca instrument de procesare a experiențelor complexe. În Making Number Talks Matter, acest accent pe comunicare este transpus în limbaj matematic, facilitând o cultură a clasei unde argumentarea soluțiilor devine mai importantă decât rezultatul final.

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Specificații

ISBN-13: 9781571109989
ISBN-10: 1571109986
Pagini: 212
Dimensiuni: 187 x 235 x 14 mm
Greutate: 0.45 kg
Ediția:1
Editura: Taylor & Francis
Colecția Routledge
Locul publicării:Oxford, United Kingdom

Public țintă

Professional Practice & Development

De ce să citești această carte

Recomandăm această carte oricărui profesor care dorește să treacă de la predarea frontală la o pedagogie centrată pe elev. Cititorul câștigă strategii concrete pentru a stimula calculul mental și a gestiona erorile într-un mod constructiv. Este un ghid practic care demonstrează cum 15 minute pe zi pot schimba radical atitudinea elevilor față de matematică, transformând frica de greșeală într-o oportunitate de investigație.

Despre autor

Cathy Humphreys este lector universitar la Universitatea din Warwick, având o experiență vastă în cercetare și asistență socială. Deși o parte considerabilă a muncii sale se concentrează pe protecția copilului și violența domestică, expertiza sa în dinamica comunicării și înțelegerea nevoilor de dezvoltare ale copiilor a fost esențială în reformarea metodelor de predare a matematicii. Alături de Ruth Parker, a devenit o voce influentă în educația matematică, promovând strategii care încurajează elevii să își exprime liber raționamentele logice.

Recenzii

“This is the book I’ve been waiting for! Making Number Talks Matter provides teachers with just the right strategies and details for helping students investigate the mathematical relationships and ideas central to grades 3-10.” -Megan Franke, University of California, Los Angeles“Mathematically powerful classrooms support students in sense-making—in exploring conjecturing, and building on ideas individually and collectively. In Making Number Talks Matter, Cathy Humphreys and Ruth Parker show how to make such exciting and productive mathematical discussions take place in your classroom. Read it, try it! –Alan Schoenfeld, University of California, Berkeley“Inside every calculation are buried the seeds of algebra. This wonderful new book shows how to use Number Talks to grow those seeds and meet the challenges of the Common Core. Cathy and Ruth have given us a wise and practical book on how Number Talks can help solve some of the most pressing problems facing schools.” –Phil Daro, Author Team, Common Core State Standards"The power of Number Talks to transform people's views of mathematics cannot be overestimated. The rich knowledge that Cathy and Ruth share, drawing from decades of experiences is invaluable." - Dr. Jo Boaler, Professor of Mathematics Education, Stanford University“The power of Number Talks to transform people’s views of mathematics cannot be overestimated.” –Dr. Jo Boaler, Professor of Mathematics Education, Stanford University “Mathematically powerful classrooms support students in sense-making—in exploring conjecturing, and building on ideas individually and collectively. In Making Number Talks Matter, Cathy Humphreys and Ruth Parker show how to make such exciting and productive mathematical discussions take place in your classroom. Read it, try it! –Alan Schoenfeld, University of California, Berkeley“Inside every calculation are buried the seeds of algebra. This wonderful new book shows how to use Number Talks to grow those seeds and meet the challenges of the Common Core. Cathy and Ruth have given us a wise and practical book on how Number Talks can help solve some of the most pressing problems facing schools.” –Phil Daro, Author Team, Common Core State Standards

Descriere scurtă

Making the transition to student-centered learning begins with finding ways to get students to share their thinking, something that can be particularly challenging for math class. Authors Ruth Parker and Cathy Humphreys introduce. Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 3-10, taking the readers into classrooms where their Number Talks routines are taught. Parker and Humphreys apply their 15 minute lessons to inspire and initiate math talks. Through vignettes in the book, you'll meet other teachers learning how to listen closely to students and how to prompt them into figuring out solutions to problems. You will learn how to make on-the-spot decisions, continually advancing and deepening the conversation. Making Number Talks Matter includes: Sample Problems: Filled with a range of Number Talks problems, 10-15 minute warm-up routines that lend themselves to mental math and comparison of strategies Navigating Rough Spots: Learn how to create a safe environment fortrickyor challenging student discussions that can arise when talking through problems and sharing ideas Responding to Mistakes: Ways to handle misconceptions and mathematical errors that come up during the course of Number Talk conversations Making Number Talks Matter is filled with teaching tips for honoring student contributions while still correcting errors, and teaching concepts while nudging independent thinking. Whether you are an elementary, middle school, or high school teacher, through daily practice and open conversation, you can build a solid foundation for the study of mathematics and Make Number Talks Matter.

Notă biografică

Cathy Humphreys is currently a doctoral student at Stanford University, where she studies mathematics teaching and learning. She has taught grades 2-12 in the California public schools for thirty years, has worked as an instructor for the Mathematics Education Collaborative and for Math Solutions, and has served as a mathematics coach for the Silicon Valley Mathematics Initiative. She is thecoauthor, with Jo Boaler, ofConnecting Mathematical Ideas (Heinemann, 2005).
Ruth Parker is a former classroom teacher and has spent over 20 years leading professional development for math teachers in grades K-12. She is currently the CEO of the Mathematics Education Collaborative, preparing the next generation of mathematics teacher leaders for Washington state.
She received her master's degree and her Ph.D. from the University of Oregon. "Nothing is more satisfying than watching my students develop a sense of agency, a curiosity about new mathematical ideas, and an awareness that they have mathematical ideas worth sharing," Ruth says of her love of teaching.
Ruth loves to hike, especially in the Pacific Northwest, and playing with her grandchildren.

Cuprins

Introduction; Chapter 1: What Are Number Talks? Why Are They So Important?; Chapter 2: Getting Number Talks Started; Chapter 3: Guiding Principles for Enacting Number Talks in the Classroom; Prelude to the Operations; Chapter 4: Subtraction Across the Grades; Chapter 5: Multiplication Across the Grades; Chapter 6: Addition Across the Grades; Chapter 7: Division Across the Grades; Chapter 8: Making Sense of Fractions (and Decimals and Percent); Chapter 9: Number Talks Can Spark Investigations; Chapter 10: Managing Bumps in the Road; Chapter 11: Moving Forward