Improving Mathematics At Work

Author : Celia Hoyles,Richard Noss,Phillip Kent,Arthur Bakker
Publisher : Routledge
Page : 224 pages
File Size : 51,8 Mb
Release : 2010-04-30
Category : Education
ISBN : 9781136992070

Get Book

Improving Mathematics at Work by Celia Hoyles,Richard Noss,Phillip Kent,Arthur Bakker Pdf

Improving Mathematics at Work questions the mathematical knowledge and skills that matter in the twenty-first century world of work, and studies how the use of mathematics in the workplace is evolving in the rapidly-changing context of new technologies and globalisation. Through a series of case studies from the manufacturing and financial service sectors, the authors argue that there has been a radical shift in the type mathematical skills required for work – a shift not yet fully recognised by the formal education system, or by employers and managers. Examining how information technology has changed mathematical requirements, the idea of Techno-mathematical Literacies (TmL) is introduced to describe the emerging need to be fluent in the language of mathematical inputs and outputs to technologies and to interpret and communicate with these, rather than merely to be procedurally competent with calculations. The authors argue for careful analyses of workplace activities, looking beyond the conventional thinking about numeracy, which still dominates policy arguments about workplace mathematics. Throughout their study, the authors answer the following fundamental questions: What mathematical knowledge and skills matter for the world of work today? How does information technology change the necessary knowledge and the ways in which it is encountered? How can we develop these essential new skills in the workforce? With evidence of successful opportunities to learn with TmL that were co-designed and evaluated with employers and employees, this book provides suggestions for the development of TmL through the use of authentic learning activities, and interactive software design. Essential reading for trainers and managers in industry, teachers, researchers and lecturers of mathematics education, and stakeholders implementing evidence-based policy, this book maps the fundamental changes taking place in workplace mathematics.

Author : Celia Hoyles,Richard Noss,Phillip Kent,Arthur Bakker
Publisher : Routledge
Page : 223 pages
File Size : 50,7 Mb
Release : 2010-04-30
Category : Business & Economics
ISBN : 9781136992087

Get Book

Improving Mathematics at Work by Celia Hoyles,Richard Noss,Phillip Kent,Arthur Bakker Pdf

Improving Mathematics at Work questions the mathematical knowledge and skills that matter in the twenty-first century world of work, and studies how the use of mathematics in the workplace is evolving in the rapidly-changing context of new technologies and globalisation. Through a series of case studies from the manufacturing and financial service sectors, the authors argue that there has been a radical shift in the type mathematical skills required for work – a shift not yet fully recognised by the formal education system, or by employers and managers. Examining how information technology has changed mathematical requirements, the idea of Techno-mathematical Literacies (TmL) is introduced to describe the emerging need to be fluent in the language of mathematical inputs and outputs to technologies and to interpret and communicate with these, rather than merely to be procedurally competent with calculations. The authors argue for careful analyses of workplace activities, looking beyond the conventional thinking about numeracy, which still dominates policy arguments about workplace mathematics. Throughout their study, the authors answer the following fundamental questions: What mathematical knowledge and skills matter for the world of work today? How does information technology change the necessary knowledge and the ways in which it is encountered? How can we develop these essential new skills in the workforce? With evidence of successful opportunities to learn with TmL that were co-designed and evaluated with employers and employees, this book provides suggestions for the development of TmL through the use of authentic learning activities, and interactive software design. Essential reading for trainers and managers in industry, teachers, researchers and lecturers of mathematics education, and stakeholders implementing evidence-based policy, this book maps the fundamental changes taking place in workplace mathematics.

Author : Anonim
Publisher : Unknown
Page : 208 pages
File Size : 43,8 Mb
Release : 2010
Category : Communication in mathematics
ISBN : 0415480086

Get Book

Improving Mathematics at Work: Manufacturing 2 : using statistics to improve the production process by Anonim Pdf

Author : Joan M. Kenney,Euthecia Hancewicz,Loretta Heuer
Publisher : ASCD
Page : 122 pages
File Size : 43,8 Mb
Release : 2005
Category : Education
ISBN : 9781416603207

Get Book

Literacy Strategies for Improving Mathematics Instruction by Joan M. Kenney,Euthecia Hancewicz,Loretta Heuer Pdf

An eyeopening look at how teachers can use literacy strategies to help students better understand mathematics.

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 : 42,5 Mb
Release : 2024
Category : Mathematics
ISBN : 1958590665

Get Book

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 : National Research Council,Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 191 pages
File Size : 44,9 Mb
Release : 1998-05-27
Category : Education
ISBN : 9780309174732

Get Book

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 : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Page : 377 pages
File Size : 48,5 Mb
Release : 2019-01-03
Category : Psychology
ISBN : 9780128159538

Get Book

Cognitive Foundations for Improving Mathematical Learning by David C. Geary,Daniel B. Berch,Kathleen Mann Koepke Pdf

The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematical Sciences Education Board,Committee on Decisions That Count
Publisher : National Academies Press
Page : 59 pages
File Size : 43,9 Mb
Release : 2002-01-28
Category : Education
ISBN : 9780309083003

Get Book

Improving Mathematics Education by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematical Sciences Education Board,Committee on Decisions That Count Pdf

Improving Mathematics Education has been designed to help inform stakeholders about the decisions they face, to point to recent research findings, and to provide access to the most recent thinking of experts on issues of national concern in mathematics education. The essence of the report is that information is available to help those charged with improving student achievement in mathematics. The documents cited above can guide those who make decisions about content, learning, teaching, and assessment. The report is organized around five key questions: What should we teach, given what we know and value about mathematics and its roles? How should we teach so children learn, given what we know about students, mathematics, and how people learn mathematics? What preparation and support do teachers need? How do we know whether what we are doing is working? What must change? Each of the five main chapters in this report considers a key area of mathematics education and describes the core messages of current publication(s) in that area. To maintain the integrity of each report's recommendations, we used direct quotes and the terminology defined and used in that report. If the wording or terminology seems to need clarification, the committee refers the reader directly to the original document. Because these areas are interdependent, the documents often offer recommendations related to several different areas. While the individual documents are discussed under only one of the components in Improving Mathematics Education, the reader should recognize that each document may have a broader scope. In general, the references in this report should serve as a starting point for the interested reader, who can refer to the original documents for fuller discussions of the recommendations and, in some cases, suggestions for implementation. Improving Mathematics Education is designed to help educators build a critical knowledge base about mathematics education, recognizing that the future of the nation's students is integrally intertwined with the decisions we make (or fail to make) about the mathematics education they receive.

Author : Habre, Samer
Publisher : IGI Global
Page : 298 pages
File Size : 41,9 Mb
Release : 2013-05-31
Category : Education
ISBN : 9781466640511

Get Book

Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software by Habre, Samer Pdf

Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a student’s understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.

Author : Nanci N. Smith
Publisher : Unknown
Page : 0 pages
File Size : 52,5 Mb
Release : 2016-11-14
Category : Education
ISBN : 194387400X

Get Book

A Mind for Mathematics by Nanci N. Smith Pdf

"In A Mind for Mathematics: Meaningful Teaching and Learning in Elementary Classrooms, Smith breaks down the complex components of teaching mathematics and divides them into practical strategies. She fuses mathematics research, useful classroom strategies, and examples from K-6 classrooms to help teachers influence students to work hard, grapple with challenging problems, and ultimately value mathematics." -- Back cover

Author : Joan M. Kenney,Euthecia Hancewicz
Publisher : ASCD
Page : 122 pages
File Size : 46,8 Mb
Release : 2005-10-15
Category : Education
ISBN : 9781416615149

Get Book

Literacy Strategies for Improving Mathematics Instruction by Joan M. Kenney,Euthecia Hancewicz Pdf

What makes mathematics so confusing to students? To succeed in the study of arithmetic, geometry, or algebra, students must learn what is effectively a second language of mathematical terms and symbols. In Literacy Strategies for Improving Mathematics Instruction, Joan M. Kenney and her coauthors describe common ways in which students misinterpret the language of mathematics, and show teachers what they can do to ensure that their students become fluent in that language. The authors synthesize the research on what it takes to decode mathematical text, explain how teachers can use guided discourse and graphic representations to help students develop mathematical literacy skills, offer guidance on using action research to enhance mathematics instruction, and discuss the importance of student-centered learning and concept-building skills in the classroom. Real-life vignettes of student struggles illuminate the profound effect of literacy problems on student achievement in mathematics. This book will help teachers better understand their students' difficulties with mathematics and take the steps necessary to alleviate them. Abundantly researched and filled with helpful strategies and resources, it is an invaluable resource for mathematics teachers at all levels.

Author : International Commission on the Teaching of Mathematics
Publisher : Unknown
Page : 52 pages
File Size : 49,6 Mb
Release : 1912
Category : Mathematics
ISBN : UOM:39015065117734

Get Book

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

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 50,8 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

Get Book

Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Author : Alan Schoenfeld,Heather Fink,Alyssa Sayavedra,Anna Weltman,Sandra Zuñiga-Ruiz
Publisher : Taylor & Francis
Page : 165 pages
File Size : 42,7 Mb
Release : 2023-06-01
Category : Education
ISBN : 9781000881950

Get Book

Mathematics Teaching On Target by Alan Schoenfeld,Heather Fink,Alyssa Sayavedra,Anna Weltman,Sandra Zuñiga-Ruiz Pdf

Mathematics Teaching On Target is a guidebook for improving mathematics teaching, based on the Teaching for Robust Understanding (TRU) Framework and its five dimensions – The Mathematics, Cognitive Demand, Equitable Access, Agency, Ownership, and Identity, and Formative Assessment. You’ll be guided to refine your classroom activities across the five TRU dimensions, and your students will become more knowledgeable and resourceful thinkers and problem solvers. Each chapter in Mathematics Teaching On Target introduces a set of easy-to-use questions for the hands-on improvement of lesson activities, such as: Think of an activity you use with your students. Is it as mathematically rich as it might be? Does it stretch your students in the right ways, inviting “productive struggle”? Can all students engage with it, in ways that allow them to grow as mathematical thinkers? What evidence will student work provide, helping you revise the activity so that it works better both in the moment and next time? You’ll find examples at the elementary, middle, and secondary levels for each dimension that show how addressing these questions can enhance mathematics instruction. Ideal for your individual classroom, learning community, or district-level and wider professional development efforts, this book will enable you to help more students engage with mathematics in increasingly powerful ways. Beyond individual lessons, this book will also accelerate teacher development by helping you focus and reflect on what really counts in your instruction.

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 209 pages
File Size : 42,8 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362953

Get Book

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.