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E-grāmata: Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

4.62/5 (15 ratings by Goodreads)
(The University of Melbourne, Australia), (James Madison University, USA), , (San Diego State University, USA), (Mathematics Consultant), (San Diego State University, USA)
  • Formāts: PDF+DRM
  • Sērija : Corwin Mathematics Series
  • Izdošanas datums: 13-Feb-2019
  • Izdevniecība: Corwin Press Inc
  • Valoda: eng
  • ISBN-13: 9781544333250
  • Formāts - PDF+DRM
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  • Formāts: PDF+DRM
  • Sērija : Corwin Mathematics Series
  • Izdošanas datums: 13-Feb-2019
  • Izdevniecība: Corwin Press Inc
  • Valoda: eng
  • ISBN-13: 9781544333250

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It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students learningwhats going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of elementary school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction.

Using grade-leveled examples and a decision-making matrix, youll learn to





Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they dont, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners

Its not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.
List of Videos
ix
Acknowledgments xi
About the Authors xiii
Introduction 1(18)
What Works Best
3(5)
What Works Best When
8(1)
The Path to Assessment-Capable Visible Learners in Mathematics
9(4)
How This Book Works
13(6)
Chapter 1 Teaching With Clarity in Mathematics
19(28)
Components of Effective Mathematics Learning
24(1)
Surface, Deep, and Transfer Learning
25(5)
Moving Learners Through the Phases of Learning
30(7)
Surface Learning in the Intermediate Mathematics Classroom
31(3)
Deep Learning in the Intermediate Mathematics Classroom
34(1)
Transfer Learning in the Intermediate Mathematics Classroom
35(2)
Differentiating Tasks for Complexity and Difficulty
37(2)
Approaches to Mathematics Instruction
39(2)
Checks for Understanding
41(1)
Profiles of Three Teachers
42(3)
Beth Buchholz
42(1)
Hollins Mills
43(1)
Katy Campbell
44(1)
Reflection
45(2)
Chapter 2 Teaching for the Application of Concepts and Thinking Skills
47(54)
Ms. Buchholz and the Relationship Between Multiplication and Division
48(17)
What Ms. Buchholz Wants Her Students to Learn
50(1)
Learning Intentions and Success Criteria
51(1)
Activating Prior Knowledge
52(4)
Scaffolding, Extending, and Assessing Student Thinking
56(1)
Teaching for Clarity at the Close
57(8)
Ms. Mills and Equivalent Fractions and Decimals
65(20)
What Ms. Mills Wants Her Students to Learn
67(1)
Learning Intentions and Success Criteria
67(2)
Activating Prior Knowledge
69(6)
Scaffolding, Extending, and Assessing Student Thinking
75(3)
Teaching for Clarity at the Close
78(7)
Ms. Campbell and the Packing Problem
85(13)
What Ms. Campbell Wants Her Students to Learn
87(1)
Learning Intentions and Success Criteria
87(1)
Activating Prior Knowledge
88(4)
Scaffolding, Extending, and Assessing Student Thinking
92(1)
Teaching for Clarity at the Close
93(5)
Reflection
98(3)
Chapter 3 Teaching for Conceptual Understanding
101(54)
Ms. Buchholz and the Meaning of Multiplication
102(21)
What Ms. Buchholz Wants Her Students to Learn
104(1)
Learning Intentions and Success Criteria
105(1)
Activating Prior Knowledge
106(6)
Scaffolding, Extending, and Assessing Student Thinking
112(4)
Teaching for Clarity at the Close
116(7)
Ms. Mills and Representing Division as Fractions
123(15)
What Ms. Mills Wants Her Students to Learn
124(1)
Learning Intentions and Success Criteria
125(1)
Activating Prior Knowledge
126(5)
Scaffolding, Extending, and Assessing Student Thinking
131(1)
Teaching for Clarity at the Close
131(7)
Ms. Campbell and the Volume of a Rectangular Prism
138(15)
What Ms. Campbell Wants Her Students to Learn
139(1)
Learning Intentions and Success Criteria
140(1)
Activating Prior Knowledge
141(5)
Scaffolding, Extending, and Assessing Student Thinking
146(3)
Teaching for Clarity at the Close
149(4)
Reflection
153(2)
Chapter 4 Teaching for Procedural Knowledge and Fluency
155(46)
Ms. Buchholz and Fluent Division Strategies
156(17)
What Ms. Buchholz Wants Her Students to Learn
158(1)
Learning Intentions and Success Criteria
159(1)
Activating Prior Knowledge
160(4)
Scaffolding, Extending, and Assessing Student Thinking
164(2)
Teaching for Clarity at the Close
166(7)
Ms. Mills and Comparing Fractions
173(15)
What Ms. Mills Wants Her Students to Learn
174(1)
Learning Intentions and Success Criteria
174(2)
Activating Prior Knowledge
176(4)
Scaffolding, Extending, and Assessing Student Thinking
180(1)
Teaching for Clarity at the Close
181(7)
Ms. Campbell and Computing Volume
188(12)
What Ms. Campbell Wants Her Students to Learn
188(1)
Learning Intentions and Success Criteria
189(1)
Activating Prior Knowledge
190(2)
Scaffolding, Extending, and Assessing Student Thinking
192(3)
Teaching for Clarity at the Close
195(5)
Reflection
200(1)
Chapter 5 Knowing Your Impact: Evaluating for Mastery
201(32)
What Is Mastery Learning?
202(15)
Using Learning Intentions to Define Mastery Learning
203(4)
Establishing the Expected Level of Mastery
207(3)
Collecting Evidence of Progress Toward Mastery
210(7)
Ensuring Tasks Evaluate Mastery
217(1)
Ensuring Tests Evaluate Mastery
218(4)
Feedback for Mastery
222(6)
Task Feedback
222(1)
Process Feedback
223(2)
Self-Regulation Feedback
225(3)
Conclusion
228(3)
Final Reflection
231(2)
Appendices 233(14)
A Effect Sizes
233(5)
B Planning for Clarity Guide
238(5)
C Learning Intentions and Success Criteria Template
243(1)
D A Selection of International Mathematical Practice or Process Standards
244(3)
References 247(4)
Index 251
Dr. John Almarode is a bestselling author and an Associate Professor of Education at James Madison University. He was awarded the inaugural Sarah Miller Luck Endowed Professorship in 2015 and received an Outstanding Faculty Award from the State Council for Higher Education in Virginia in 2021. Before his academic career, John started as a mathematics and science teacher in Augusta County, Virginia. As an author, John has written multiple educational books focusing on science and mathematics, and he has co-created a new framework for developing, implementing, and sustaining professional learning communities called PLC+. Dr. Almarodes work has been presented to the US Congress, the Virginia Senate, and the US Department of Education. John and his colleagues have also focused a lot of attention on the process of implementation taking evidence-based practices and moving them from intention to implementation, potential to impact through a series of on-your-feet-guides around PLCs, Visible Learning, Visible Teaching, and the SOLO Taxonomy.

Douglas Fisher is professor and chair of educational leadership at San Diego State University and a teacher leader at Health Sciences High and Middle College. Previously, Doug was an early intervention teacher and elementary school educator. He is a credentialed English teacher and administrator in California.  In 2022, he was inducted into the Reading Hall of Fame by the Literacy Research Association. He has published numerous articles on reading and literacy, differentiated instruction, and curriculum design, as well as books such as The Teacher Clarity Playbook 2/e, Your Introduction to PLC+, The Illustrated Guide to Teacher Credibility, Instructional Strategies that Move Learning Forward: 30 Tools that Support Gradual Release of Responsibility, and Welcome to Teaching!







Kateri Thunder, Ph.D., has the pleasure of collaborating with learners and educators from school divisions and early learning centers around the world to translate research into practice. She has served as an inclusive early childhood educator, an Upward Bound educator, a mathematics specialist, an assistant professor of mathematics education at James Madison University, and Site Director for the Central Virginia Writing Project. Her research, writing, and presentations focus on equity and access in early childhood and mathematics education, as well as the intersection of literacy and mathematics for teaching and learning. Kateri has collaborated with thousands of educators to catalyze change in their classrooms, centers, and schools. She is the chair of NCTMs Research Committee and co-creator of The Math Diet. Additionally, she is a best-selling author for Corwins Teaching Mathematics in the Visible Learning Classroom Series, the Success Criteria Playbook, and Visible Learning in Early Childhood. Sara Delano Moore is an independent mathematics education consultant at SDM Learning.  A fourth-generation educator, her work focuses on helping teachers and students understand mathematics as a coherent and connected discipline through the power of deep understanding and multiple representations for learning. Sara has worked as a classroom teacher of mathematics and science in the elementary and middle grades, a mathematics teacher educator, Director of the Center for Middle School Academic Achievement for the Commonwealth of Kentucky, and Director of Mathematics & Science at ETA hand2mind. Her journal articles appear in Mathematics Teaching in the Middle School, Teaching Children Mathematics, Science & Children, and Science Scope.

John Hattie, PhD, is an award-winning education researcher and best-selling author with nearly thirty years of experience examining what works best in student learning and achievement. His research, better known as Visible Learning, is a culmination of nearly thirty years synthesizing more than 2,100 meta-analyses comprising more than one hundred thousand studies involving over 300 million students around the world. He has presented and keynoted in over three hundred 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. Nancy Frey is a Professor in Educational Leadership at San Diego State and a teacher leader at Health Sciences High and Middle College.  She is a credentialed special educator, reading specialist, and administrator in California.  She is a member of the International Literacy Associations Literacy Research Panel. Her published titles include 50 Strategies for Activating Your PLC+, The Illustrated Guide to Visible Learning, Welcome to Teaching Multilingual Learners, Teaching Foundational Skills to Adolescent Readers, and RIGOR Unveiled: A Video-Enhanced Flipbook to Promote Teacher Expertise in Relationship Building, Instruction, Goals, Organization, and Relevance.