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Making Number Talks Matter

Author: Cathy Humphreys
Publisher: Stenhouse Publishers
ISBN: 1571109986
Size: 63.43 MB
Format: PDF
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Making Number Talks Matter is about the myriad decisions facing teachers as they make this fifteen-minute daily routine a vibrant and vital part of their mathematics instruction. Throughout the book, Cathy Humphreys and Ruth Parker offer practical ideas for using Number Talks to help students learn to reason numerically and build a solid foundation for the study of mathematics. This book will be an invaluable resource whether you are already using Number Talks or not; whether you are an elementary, middle school, high school, or college teacher; or even if you are a parent wanting to support your child with mathematics. Using insight gained from many years of doing Number Talks with students of all ages, Cathy and Ruth address questions to ask during Number Talks, teacher moves that turn the thinking over to students, the mathematics behind the various strategies, and ways to overcome bumps in the road. If you've been looking for ways to transform your mathematics classroom--to bring sense-making and divergent thinking to the foreground, to bring the Standards for Mathematical Practice to life, and to bring joy back into your instruction--this book is for you.

Itil Foundation Handbook

Author: itSMF Foundation
Publisher:
ISBN: 9780113314706
Size: 62.81 MB
Format: PDF, ePub, Docs
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Now updated in line with the 2011 syllabus, this quick-reference revision guide has been designed to help students prepare for their foundation exam. It is also a key reference aid for managers, practitioners, vendors and consultants in the workplace and while travelling. This handbook provides an introduction to the ITIL service lifecycle model and an overview of the ITIL qualification structure. It contains a chapter on each of the components of the lifecycle: service strategy, service design, service transition, service operation and continual service improvement.

Digging Deeper

Author: Ruth E. Parker
Publisher:
ISBN: 1625312040
Size: 72.90 MB
Format: PDF, ePub
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"Sense-making makes mathematics personal, and when it's personal, it comes to life. And that's how Number Talks can really make a difference."--Ruth Parker and Cathy Humphreys How teachers react to wrong answers and mistakes makes all the difference in mathematics class. The response can determine whether a student tunes out or delves in. In this comprehensive sequel to Making Number Talks Matter, Ruth Parker and Cathy Humphreys explore more deeply the ways Number Talks can transform student understanding of mathematics. Through vignettes and videos, you'll meet teachers who are learning to listen closely to students and prompting them to figure things out for themselves. You'll learn how they make on-the-spot decisions, continually advancing and deepening the conversation. Personal and accessible, this book highlights: The kinds of questions that elicit deeper thinking Ways to navigate tricky, problematic, or just plain hard exchanges in the classroom How to more effectively use wait time during Number Talks The importance of creating a safe learning environment How to nudge students to think more flexibly without directing their thinking This book offers a rich assortment of ideas to help make Number Talks even more vibrant and meaningful for you and your students.

Classroom Ready Number Talks For Third Fourth And Fifth Grade Teachers

Author: Nancy Hughes
Publisher: Ulysses Press
ISBN: 1612437435
Size: 80.74 MB
Format: PDF, ePub, Mobi
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A huge collection of ready-to-use number talks that make math concepts easier for students to learn Make Math Fun! Whether you are new to number talks or have been using them in your classroom for years, this book makes it easier than ever for your students to experience this exciting teaching method. Instead of trying to come up with a new number talk every day, simply select one of the hundreds of great offerings provided in this book. With chapters on addition, subtraction, multiplication, division, fractions and decimals, Classroom-Ready Number Talks for 3rd, 4th and 5th Grade Teachers includes: • Grade-level specific strategies •Number talk how-tos •Visual and numerical examples •Scaffolding suggestions •Common core alignments •Questions to build understanding With these ready-to-use number talks, you’ll reduce time spent lesson planning and enjoy more time discussing math with your students. It’s sure to create a more engaging environment in your classroom and increase student comprehension of math concepts and how numbers function in the world around them.

Necessary Conditions

Author: Geoff Krall
Publisher:
ISBN: 162531146X
Size: 11.81 MB
Format: PDF, ePub, Docs
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Students do not experience math in a vacuum. The curriculum, the students' social and emotional well-being, and the teacher's expertise as a facilitator must all be attended to, and each interacts with the others. -Geoff Krall Math instruction in high school is often something of a grab bag, with schools jumping from curriculum to curriculum, lacking a guiding vision or continuity between years. No wonder so many students conclude, "I'm not a math person." Geoff Krall thinks that's a problem. And he's devoted his career to fixing it. Necessary Conditions posits for the first time a coherent approach to secondary math pedagogy. Krall identifies three essential elements that will open the door to math for all your students: academic safety, quality tasks, and effective facilitation. Krall takes readers into real middle- and high-school classrooms to see how teachers cultivate these three "necessary conditions." With extensive examples, practical techniques and resources, and insightful analysis, this guide equips teachers to do the following: Design classroom experiences that increase engagement and build all students' identities as mathematicians. Create dynamic, high-quality lessons that include meaningful, efficient assessment. Facilitate routines and discussions that increase all students' access to conceptual mathematics. The biggest drivers of students' math experiences are their teachers. With Krall's guidance, you can help every student come to recognize that they are indeed a "math person."

Visible Learning For Mathematics Grades K 12

Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362974
Size: 46.10 MB
Format: PDF
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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.

Der Zahlensinn Oder Warum Wir Rechnen K Nnen

Author: Stanislas Dehaene
Publisher: Springer-Verlag
ISBN: 3034878257
Size: 43.51 MB
Format: PDF, ePub, Mobi
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Wir sind umgeben von Zahlen. Ob auf Kreditkarten gestanzt oder auf Münzen geprägt, ob auf Schecks gedruckt oder in den Spalten computerisierter Tabellen aufgelistet, überall beherrschen Zahlen unser Leben. Sie sind auch der Kern unserer Technologie. Ohne Zahlen könnten wir weder Raketen starten, die das Sonnensystem erkunden, noch Brücken bauen, Güter austauschen oder Rech nungen bezahlen. In gewissem Sinn sind Zahlen also kulturelle Erfindungen, die sich ihrer Bedeutung nach nur mit der Landwirtschaft oder mit dem Rad vergleichen lassen. Aber sie könnten sogar noch tiefere Wurzeln haben. Tausende von Jahren vor Christus benutzten babylonische Wissenschaftler Zahlzeichen, um erstaun lich genaueastronomische Tabellen zu berechnen. Zehntausende von Jahren zuvor hatten Menschen der Steinzeit die ersten geschriebenen Zahlenreihen geschaffen, indem sie Knochen einkerbten oder Punkte auf Höhlenwände malten. Und, wie ich später überzeugend darzustellen hoffe, schon vor weiteren Millionen von Jahren, lange bevor es Menschen gab, nahmen Tiere aller Arten Zahlen zur Kenntnis und stellten mit ihnen einfache Kopfrechnungen an. Sind Zahlen also fast so alt wie das Leben selbst? Sind sie in der Struktur unseres Gehirns verankert? Besitzen wir einen Zahlensinn, eine spezielle Intuition, die uns hilft, Zahlen und Mathematik mit Sinn zu erfüllen? Ich wurde vor fünfzehn Jahren, während meiner Ausbildung zum Mathema tiker, fasziniert von den abstrakten Objekten, mit denen ich umzugehen lernte, vor allem von den einfachsten von ihnen- den Zahlen.

Mathe Magie

Author: Arthur Benjamin
Publisher: Heyne Verlag
ISBN: 3641148472
Size: 42.70 MB
Format: PDF
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Zaubern mit Zahlen – wer dieses Buch gelesen hat, muss PISA nicht mehr fürchten Wer glaubt, Mathematik sei eine trockene Angelegenheit und Kopfrechnen eine unnötige Quälerei, der irrt sich gewaltig. Denn nach der Lektüre dieses Buches ist es für jeden ein Leichtes, Rechenoperationen mit vier- und fünfstelligen Zahlen in Sekundenschnelle im Kopf auszuführen. Und was wie Zauberei wirkt, ist letztendlich nichts anderes als mathematische Logik, die jedermann beherrschen kann und die dazu noch richtig Spaß macht. • So wird Kopfrechnen kinderleicht! • Mit zahlreichen Übungen und Lösungen