Mathematics at Work
| Author | : Holbrook Lynedon Horton |
| Publisher | : |
| Total Pages | : |
| Release | : 1957 |
| Genre | : Mathematics |
| ISBN | : |
Mathematics At Work
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Visible Learning for Mathematics, Grades K-12
| Author | : John Hattie |
| Publisher | : Corwin Press |
| Total Pages | : 209 |
| Release | : 2016-09-15 |
| Genre | : Education |
| ISBN | : 1506362958 |
Selected 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 |
| Total Pages | : 499 |
| Release | : 2011-09-20 |
| Genre | : Education |
| ISBN | : 1135855625 |
This 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 |
| Total Pages | : 320 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475747217 |
An 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 |
| Total Pages | : 0 |
| Release | : 1998 |
| Genre | : Education |
| ISBN | : 9781879639607 |
Provides specific information on how to transform schools into results-oriented professional learning communities, describing the best practices that have been used by schools nationwide.
Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8
| Author | : Jennifer M. Bay-Williams |
| Publisher | : Corwin |
| Total Pages | : 265 |
| Release | : 2021-03-02 |
| Genre | : Education |
| ISBN | : 1071818430 |
Because 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.
Everything You Need for Mathematics Coaching
| Author | : Maggie B. McGatha |
| Publisher | : Corwin Press |
| Total Pages | : 361 |
| Release | : 2018-04-02 |
| Genre | : Education |
| ISBN | : 1544316992 |
Math coaches wear many hats. You think on your feet and have to invent, react, and respond—often without time to prepare—in a myriad of professional contexts. What’s your go-to resource for support? Plan, focus, and lead: Your toolkit for inspiring math teachers Meet Everything You Need For Mathematics Coaching: Tools, Plans, and a Process That Works for Any Instructional Leader. This one-stop, comprehensive toolkit for improving mathematics instruction and learning is designed for busy math coaches and teacher leaders who often have to rely on their own competencies. Using the Leading for Mathematical Proficiency Framework, the authors position student outcomes as the focus of all professional work and connect the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to help you guide teachers toward growing mathematics proficiency in their classrooms. This hands-on resource details critical coaching and teaching actions, and offers nearly a hundred tools for: Shifting classroom practice in a way that leads to student math proficiency and understanding of mathematical concepts. Honing in on key areas, including content knowledge and worthwhile tasks, student engagement, questioning and discourse, analysis of student work, formative assessment, support for emergent language learners and students with special needs, and more. Navigating a coaching conversation. Planning and facilitating professional learning communities. Finding a focus for professional development or a learning cycle. Making connections between professional learning activities, teaching, and student learning. Using the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers. With examples from the field, a comprehensive list of resources for effective coaching, and a plethora of tools you can download and share with teachers, this toolkit is your must-have guide to designing a professional learning plan and leading with clarity and purpose.
Writing to Learn Mathematics
| Author | : Joan Countryman |
| Publisher | : Heinemann Educational Books |
| Total Pages | : 116 |
| Release | : 1992 |
| Genre | : Education |
| ISBN | : |
Explains 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 |
| Total Pages | : 0 |
| Release | : 2018 |
| Genre | : Education |
| ISBN | : 9781943874170 |
Part 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)
Mathematics Education
| Author | : Jacqueline Dewar |
| Publisher | : Springer |
| Total Pages | : 382 |
| Release | : 2016-11-26 |
| Genre | : Mathematics |
| ISBN | : 3319449508 |
Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its value in the mathematical community. The writing is expository, not technical, and should be accessible and informative to a diverse audience. The primary readership includes all those in departments of mathematical sciences in two or four year colleges and universities, and their administrators, as well as graduate students. Researchers in education may also find topics of interest. Other potential readers include those doing work in mathematics education in schools of education, and teachers of secondary or middle school mathematics as well as those involved in their professional development.
