Mathematics at Work
Author: Holbrook Lynedon Horton
Publisher:
Published: 1957
Total Pages:
ISBN-13:
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Visible Learning for Mathematics, Grades K-12
Author: John Hattie
Publisher: Corwin Press
Published: 2016-09-15
Total Pages: 209
ISBN-13: 1506362958
DOWNLOAD EBOOKSelected as the Michigan Council of Teachers of Mathematics winter book club book! 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.
Mathematics Teachers at Work
Author: Janine T. Remillard
Publisher: Routledge
Published: 2011-09-20
Total Pages: 499
ISBN-13: 1135855625
DOWNLOAD EBOOKThis book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.
Categories for the Working Mathematician
Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 320
ISBN-13: 1475747217
DOWNLOAD EBOOKAn array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Professional Learning Communities at Work
Author: Richard DuFour
Publisher: Solution Tree
Published: 1998
Total Pages: 0
ISBN-13: 9781879639607
DOWNLOAD EBOOKProvides specific information on how to transform schools into results-oriented professional learning communities, describing the best practices that have been used by schools nationwide.
Education for Mathematics in the Workplace
Author: A. Bessot
Publisher: Springer Science & Business Media
Published: 2006-04-11
Total Pages: 278
ISBN-13: 0306472260
DOWNLOAD EBOOKThis timely volume raises issues concerning the nature of school mathematics and mathematics at work, and the challenges of teaching valuable mathematics in school and providing appropriate training for a variety of careers. It offers lively commentaries on important `hot' topics: transferring knowledge and skill across contexts; ‘authentic mathematics’; comparability of different types of assessment; and analyses of research methods.
Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8
Author: Jennifer M. Bay-Williams
Publisher: Corwin
Published: 2021-03-02
Total Pages: 265
ISBN-13: 1071818430
DOWNLOAD EBOOKBecause fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.
Writing to Learn Mathematics
Author: Joan Countryman
Publisher: Heinemann Educational Books
Published: 1992
Total Pages: 116
ISBN-13:
DOWNLOAD EBOOKExplains how writing can be integrated into primary and secondary mathematics, and suggests topics and methods, including journals, learning logs, and letters.
Mathematics Homework and Grading in a PLC at Work(tm)
Author: Timothy D. Kanold
Publisher: Every Student Can Learn Mathem
Published: 2018
Total Pages: 0
ISBN-13: 9781943874170
DOWNLOAD EBOOKPart of the Every Student Can Learn Mathematics series Boost K-12 student achievement and math skills by enhancing your approach to mathematics homework and grading. This user-friendly resource is divided into two parts, each covering a key team action for mathematics in a PLC at Work(tm). First, you'll learn how to develop common independent practice assignments or math homework for formative student learning within a professional learning community (PLC). Then, discover how to work collaboratively to create quality equitable grading practices to help you evaluate independent practice effectiveness. The book features teacher team tools and activities to inspire student achievement and enhance grading routines as part of a formative student learning process. Learn collaborative homework and grading practices to grow your students' math skills: Discover how you and your colleagues can design and use mathematics homework and grading practices to produce significant improvement in student learning. Learn the value of common scoring agreements among educators. Understand and find solutions to common grading errors to ensure equity among all students. Implement effective grading practices that provide meaningful and actionable formative feedback to students. Support student engagement and ensure students persevere in their learning of mathematics problem solving. Contents: Preface Introduction Part 1: Team Action 5--Develop and Use High-Quality Common Independent Practice Assignments for Formative Student Learning Chapter 1: The Purpose of High-Quality Common Independent Practice Assignments Chapter 2: Sample Independent Practice Assignments Chapter 3: Formative Routines for Improved Student Learning Chapter 4: Common Scoring and Grading Agreements for Homework Assignments Part 2: Team Action 6--Develop and Use High-Quality Common Grading Components and Formative Grading Routines Chapter 5: The Purpose and Nature of Grading in Mathematics Chapter 6: How to Create an Evaluate Quality Grading Components Chapter 7: Formative Grading Routines Chapter 8: Traditional Report Card Grades and Standards-Based Scoring Routines Epilogue Appendix References and Resources Index Books in the Every Student Can Learn Mathematics series: Mathematics Assessment and Intervention in a PLC at Work(tm) Mathematics Instruction and Tasks in a PLC at Work(tm) Mathematics Homework and Grading in a PLC at Work(tm) Mathematics Coaching and Collaboration in a PLC at Work(tm)
Strength in Numbers
Author: Ilana Seidel Horn
Publisher:
Published: 2012
Total Pages: 100
ISBN-13: 9780873536639
DOWNLOAD EBOOKWritten by a seasoned teacher, researcher and teacher educator with over two decades of teaching experience, the goal of this book is to support teachers in developing tools for effective group work in their secondary mathematics classrooms. Effective group work engages children’s own thinking and allows them to work together to understand a concept. It can also address problems that often arise in typical mathematics instruction by providing a framework for teachers to create engaging learning environments. The book outlines ways to choose tasks, help students adjust to new ways of approaching schoolwork, and discusses the types of status problems that can impede the most earnest attempts at collaborative learning. This practical, useful book introduces tested tools and concepts for creating equitable collaborative learning environments that supports all students and develops confidence in their mathematical ability.
