Schools Mathematics And Work

Author : National Research Council,Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 191 pages
File Size : 43,5 Mb
Release : 1998-05-27
Category : Education
ISBN : 9780309174732

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High School Mathematics at Work by National Research Council,Mathematical Sciences Education Board Pdf

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. But the technological world in which today's students will work and live calls for increasing connection between mathematics and its applications. Workplace-based mathematics may be good mathematics for everyone. High School Mathematics at Work illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essaysâ€"by mathematicians, educators, and other expertsâ€"is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education. This important book addresses how to make mathematical education of all students meaningfulâ€"how to meet the practical needs of students entering the work force after high school as well as the needs of students going on to postsecondary education. The short readable essays frame basic issues, provide background, and suggest alternatives to the traditional separation between technical and academic mathematics. They are accompanied by intriguing multipart problems that illustrate how deep mathematics functions in everyday settingsâ€"from analysis of ambulance response times to energy utilization, from buying a used car to "rounding off" to simplify problems. The book addresses the role of standards in mathematics education, discussing issues such as finding common ground between science and mathematics education standards, improving the articulation from school to work, and comparing SAT results across settings. Experts discuss how to develop curricula so that students learn to solve problems they are likely to encounter in lifeâ€"while also providing them with approaches to unfamiliar problems. The book also addresses how teachers can help prepare students for postsecondary education. For teacher education the book explores the changing nature of pedagogy and new approaches to teacher development. What kind of teaching will allow mathematics to be a guide rather than a gatekeeper to many career paths? Essays discuss pedagogical implication in problem-centered teaching, the role of complex mathematical tasks in teacher education, and the idea of making open-ended tasksâ€"and the student work they elicitâ€"central to professional discourse. High School Mathematics at Work presents thoughtful views from experts. It identifies rich possibilities for teaching mathematics and preparing students for the technological challenges of the future. This book will inform and inspire teachers, teacher educators, curriculum developers, and others involved in improving mathematics education and the capabilities of tomorrow's work force.

Author : Mary Harris
Publisher : Unknown
Page : 328 pages
File Size : 40,6 Mb
Release : 1991
Category : Education
ISBN : UOM:39015019630162

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Schools, Mathematics, and Work by Mary Harris Pdf

From various perspectives, authors in this volume discuss the the way mathematics is applied to practical tasks and its place in modern culture. There are essays on the role of mathematics in the workplace and the role of the computer as an expressive medium in education.

Author : Timothy D. Kanold,Sarah Schuhl
Publisher : Solution Tree
Page : 0 pages
File Size : 52,9 Mb
Release : 2019-07-05
Category : Education
ISBN : 1949539539

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Mathematics at Work Plan Book by Timothy D. Kanold,Sarah Schuhl Pdf

Mathematics at Work represents a series of activites for grade K-12 mathematics teachers.

Author : Timothy D. Kanold,Sarah Schuhl,Mona Toncheff,Bill Barnes,Jennifer Deinhart,Jessica Kanold-McIntyre,Matthew R. Larson
Publisher : Unknown
Page : 0 pages
File Size : 54,5 Mb
Release : 2024
Category : Mathematics
ISBN : 1958590665

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Mathematics Instruction and Tasks in a PLC at Work by Timothy D. Kanold,Sarah Schuhl,Mona Toncheff,Bill Barnes,Jennifer Deinhart,Jessica Kanold-McIntyre,Matthew R. Larson Pdf

"Mathematics Instruction and Tasks in a PLC at Work®, Second Edition by Mona Toncheff, Timothy D. Kanold, Sarah Schuhl, Bill Barnes, Jennifer Deinhart, Jessica Kanold-McIntyre, and Matthew R. Larson provides guidance for K-12 teachers to reflect on current lesson-design practices, compare those practices against high-quality standards of mathematics lesson design, and develop and use effective lessons that engage students within the mathematics classroom. Part of the Every Student Can Learn Mathematics series, it offers a comprehensive professional learning community (PLC) approach to sustaining deep change in mathematics achievement. The PLC at Work process is one of the best models that schools or districts can use to build a more equitable learning experience for students. Using the four critical questions of a PLC, teams will provide every mathematics student with common learning experiences, opportunities for sustained perseverance, and robust formative feedback. In this second edition, teachers will access new and updated tools to maximize their lesson-planning strategies in mathematics within the PLC framework"--

Author : Jacqueline Dewar,Pao-sheng Hsu,Harriet Pollatsek
Publisher : Springer
Page : 391 pages
File Size : 40,9 Mb
Release : 2016-11-26
Category : Mathematics
ISBN : 9783319449500

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Mathematics Education by Jacqueline Dewar,Pao-sheng Hsu,Harriet Pollatsek Pdf

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.

Author : Karin Brodie
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 46,5 Mb
Release : 2009-10-08
Category : Education
ISBN : 9780387097428

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Teaching Mathematical Reasoning in Secondary School Classrooms by Karin Brodie Pdf

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

Author : Francis Su
Publisher : Yale University Press
Page : 287 pages
File Size : 51,8 Mb
Release : 2020-01-07
Category : Mathematics
ISBN : 9780300237139

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Mathematics for Human Flourishing by Francis Su Pdf

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 209 pages
File Size : 43,6 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362953

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Visible Learning for Mathematics, Grades K-12 by John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman Pdf

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.

Author : M. Harris
Publisher : Unknown
Page : 128 pages
File Size : 43,7 Mb
Release : 1991-01
Category : Electronic
ISBN : 085000893X

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Schools Mathematics and Work by M. Harris Pdf

Author : Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu
Publisher : Solution Tree Press
Page : 273 pages
File Size : 52,7 Mb
Release : 2016-05-19
Category : Education
ISBN : 9781942496496

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Making Sense of Mathematics for Teaching High School by Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu Pdf

Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Author : Janine T. Remillard,Beth A. Herbel-Eisenmann,Gwendolyn M. Lloyd
Publisher : Routledge
Page : 499 pages
File Size : 49,8 Mb
Release : 2011-09-20
Category : Education
ISBN : 9781135855628

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Mathematics Teachers at Work by Janine T. Remillard,Beth A. Herbel-Eisenmann,Gwendolyn M. Lloyd Pdf

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.

Author : A. Bessot,J. Ridgway
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 47,8 Mb
Release : 2006-04-11
Category : Education
ISBN : 9780306472268

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Education for Mathematics in the Workplace by A. Bessot,J. Ridgway Pdf

This 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.

Author : Sarah Schuhl,Timothy D. Kanold,Jessica Kanold-McIntyre,Suyi Chuang,Matthew R. Larson,Mignon Smith
Publisher : Unknown
Page : 176 pages
File Size : 54,7 Mb
Release : 2020
Category : Mathematics
ISBN : 1951075277

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Mathematics Unit Planning in a Plc at Work(r), Grades 6 - 8 by Sarah Schuhl,Timothy D. Kanold,Jessica Kanold-McIntyre,Suyi Chuang,Matthew R. Larson,Mignon Smith Pdf

What exactly do your students need to know by the end of each unit of mathematics study throughout the school year? This practical resource empowers teacher teams to collectively plan for and deliver highly effective units of study in grades 6-8. The authors clearly outline how to generate essential learning standards, create a team unit calendar, identify prior knowledge, and complete many other essential collaborative tasks. Use this resource to provide intermediate grade-level students with a more equitable mathematics learning experience Understand how to collaboratively plan mathematics units in grades 6-8 as a professional learning community (PLC). Study the seven unit-planning elements and learn how to incorporate each in essential unit design. Review the role of the PLC at Work® process in enhancing student learning and teacher collaboration. Observe three model units, one for each grade, for ratios and proportional reasoning. Receive tools and templates for effective unit planning. Contents: Acknowledgments Table of Contents About the Authors Introduction Part One: Mathematics Unit Planning and Design Elements Chapter 1: Planning for Student Learning of Mathematics in Grades 6-8 Chapter 2: Unit Planning as a Collaborative Mathematics Team Part Two: Ratios and Proportional Reasoning Examples, Grades 6-8 Chapter 3: Grade 6 Unit--Ratios and Rates Chapter 4: Grade 7 Unit--Proportional Reasoning Chapter 5: Grade 8 Unit--Linear Functions Epilogue Appendix A: Create a Proficiency Map Appendix B: Team Checklist and Questions for Mathematics Unit Planning References and Resources Index

Author : International Commission on the Teaching of Mathematics
Publisher : Unknown
Page : 52 pages
File Size : 49,9 Mb
Release : 1912
Category : Mathematics
ISBN : UOM:39015065117734

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Influences Tending to Improve the Work of the Teacher of Mathematics by International Commission on the Teaching of Mathematics Pdf

Author : Richard DuFour,Robert E. Eaker
Publisher : Solution Tree
Page : 0 pages
File Size : 43,5 Mb
Release : 1998
Category : Education
ISBN : 1879639602

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Professional Learning Communities at Work by Richard DuFour,Robert E. Eaker Pdf

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.