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    Visible learning for mathematics, grades K-12 : what works best to optimize student learning / John Hattie, Douglas Fisher and Nancy Frey, with Linda M. Gojak, Sara Delano Moore, and William Mellman, foreword by Diane J. Briars.

    • Title:Visible learning for mathematics, grades K-12 : what works best to optimize student learning / John Hattie, Douglas Fisher and Nancy Frey, with Linda M. Gojak, Sara Delano Moore, and William Mellman, foreword by Diane J. Briars.
    •    
    • Author/Creator:Hattie, John, author.
    • Published/Created:Thousand Oaks, California : Corwin Mathematics, [2017]
    • Holdings

       
    • Library of Congress Subjects:Mathematics--Study and teaching (Elementary)
      Mathematics--Study and teaching (Secondary)
      Effective teaching.
      Student-centered learning.
    • Description:xxvii, 269 pages : illustrations ; 24 cm
    • Summary:Rich tasks, collaborative work, number talks, problem-based learning, direct instruction, and 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. - Publisher.
    • Notes:Includes bibliographical references (pages 249-257) and index.
    • ISBN:9781506362946 (pbk. : alk. paper)
      150636294X (pbk. : alk. paper)
    • Contents:Machine generated contents note: Forgetting the Past / Diane J. Briars
      What Makes for Good Instruction? / Diane J. Briars
      Evidence Base / Diane J. Briars
      Meta-Analyses / Diane J. Briars
      Effect Sizes / Diane J. Briars
      Noticing What Does and Does Not Work / Diane J. Briars
      Direct and Dialogic Approaches to Teaching and Learning / Diane J. Briars
      Balance of Surface, Deep, and Transfer Learning / Diane J. Briars
      Surface Learning / Diane J. Briars
      Deep Learning / Diane J. Briars
      Transfer Learning / Diane J. Briars
      Surface, Deep, and Transfer Learning Working in Concert / Diane J. Briars
      Conclusion / Diane J. Briars
      Reflection and Discussion Questions / Diane J. Briars
      Learning Intentions for Mathematics / Diane J. Briars
      Student Ownership of Learning Intentions / Diane J. Briars
      Connect Learning Intentions to Prior Knowledge / Diane J. Briars
      Make Learning Intentions Inviting and Engaging / Diane J. Briars
      Language Learning Intentions and Mathematical Practices / Diane J. Briars
      Social Learning Intentions and Mathematical Practices / Diane J. Briars
      Reference the Learning Intentions Throughout a Lesson / Diane J. Briars
      Success Criteria for Mathematics / Diane J. Briars
      Success Criteria Are Crucial for Motivation / Diane J. Briars
      Getting Buy-In for Success Criteria / Diane J. Briars
      Preassessments / Diane J. Briars
      Conclusion / Diane J. Briars
      Reflection and Discussion Questions / Diane J. Briars
      Making Learning Visible Through Appropriate Mathematical Tasks / Diane J. Briars
      Exercises Versus Problems / Diane J. Briars
      Difficulty Versus Complexity / Diane J. Briars
      Taxonomy of Tasks Based on Cognitive Demand / Diane J. Briars
      Making Learning Visible Through Mathematical Talk / Diane J. Briars
      Characteristics of Rich Classroom Discourse / Diane J. Briars
      Conclusion / Diane J. Briars
      Reflection and Discussion Questions / Diane J. Briars
      Nature of Surface Learning / Diane J. Briars
      Selecting Mathematical Tasks That Promote Surface Learning / Diane J. Briars
      Mathematical Talk That Guides Surface Learning / Diane J. Briars
      What Are Number Talks, and When Are They Appropriate? / Diane J. Briars
      What Is Guided Questioning, and When Is It Appropriate? / Diane J. Briars
      What Are Worked Examples, and When Are They Appropriate? / Diane J. Briars
      What Is Direct Instruction, and When Is It Appropriate? / Diane J. Briars
      Mathematical Talk and Metacognition / Diane J. Briars
      Strategic Use of Vocabulary Instruction / Diane J. Briars
      Word Walls / Diane J. Briars
      Graphic Organizers / Diane J. Briars
      Strategic Use of Manipulatives for Surface Learning / Diane J. Briars
      Strategic Use of Spaced Practice With Feedback / Diane J. Briars
      Strategic Use of Mnemonics / Diane J. Briars
      Conclusion / Diane J. Briars
      Reflection and Discussion Questions / Diane J. Briars
      Nature of Deep Learning / Diane J. Briars
      Selecting Mathematical Tasks That Promote Deep Learning / Diane J. Briars
      Mathematical Talk That Guides Deep Learning / Diane J. Briars
      Accountable Talk / Diane J. Briars
      Supports for Accountable Talk / Diane J. Briars
      Teach Your Students the Norms of Class Discussion / Diane J. Briars
      Mathematical Thinking in Whole Class and Small Group Discourse / Diane J. Briars
      Small Group Collaboration and Discussion Strategies / Diane J. Briars
      When Is Collaboration Appropriate? / Diane J. Briars
      Grouping Students Strategically / Diane J. Briars
      What Does Accountable Talk Look and Sound Like in Small Groups? / Diane J. Briars
      Supports for Collaborative Learning / Diane J. Briars
      Supports for Individual Accountability / Diane J. Briars
      Whole Class Collaboration and Discourse Strategies / Diane J. Briars
      When Is Whole Class Discourse Appropriate? / Diane J. Briars
      What Does Accountable Talk Look and Sound Like in Whole Class Discourse? / Diane J. Briars
      Supports for Whole Class Discourse / Diane J. Briars
      Using Multiple Representations to Promote Deep Learning / Diane J. Briars
      Strategic Use of Manipulatives for Deep Learning / Diane J. Briars
      Conclusion / Diane J. Briars
      Reflection and Discussion Questions / Diane J. Briars
      Nature of Transfer Learning / Diane J. Briars
      Types of Transfer: Near and Far / Diane J. Briars
      Paths for Transfer: Low-Road Hugging and High-Road Bridging / Diane J. Briars
      Selecting Mathematical Tasks That Promote Transfer Learning / Diane J. Briars
      Conditions Necessary for Transfer Learning / Diane J. Briars
      Metacognition Promotes Transfer Learning / Diane J. Briars
      Self-Questioning / Diane J. Briars
      Self-Reflection / Diane J. Briars
      Mathematical Talk That Promotes Transfer Learning / Diane J. Briars
      Helping Students Connect Mathematical Understandings / Diane J. Briars
      Peer Tutoring in Mathematics / Diane J. Briars
      Connected Learning / Diane J. Briars
      Helping Students Transform Mathematical Understandings / Diane J. Briars
      Problem-Solving Teaching / Diane J. Briars
      Reciprocal Teaching / Diane J. Briars
      Conclusion / Diane J. Briars
      Reflection and Discussion Questions / Diane J. Briars
      Assessing Learning and Providing Feedback / Diane J. Briars
      Formative Evaluation Embedded in Instruction / Diane J. Briars
      Summative Evaluation / Diane J. Briars
      Meeting Individual Needs Through Differentiation / Diane J. Briars
      Classroom Structures for Differentiation / Diane J. Briars
      Adjusting Instruction to Differentiate / Diane J. Briars
      Intervention / Diane J. Briars
      Learning From What Doesn't Work / Diane J. Briars
      Grade-Level Retention / Diane J. Briars
      Ability Grouping / Diane J. Briars
      Matching Learning Styles With Instruction / Diane J. Briars
      Test Prep / Diane J. Briars
      Homework / Diane J. Briars
      Visible Mathematics Teaching and Visible Mathematics Learning / Diane J. Briars
      Conclusion / Diane J. Briars
      Reflection and Discussion Questions / Diane J. Briars.
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