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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.
Provides review and practice opportunities for using mathematical reasoning, critical thinking, and the problem-solving skills that are required in today's workplace.
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.
Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.
Americans have long recognized that investments in public education contribute to the common good, enhancing national prosperity and supporting stable families, neighborhoods, and communities. Education is even more critical today, in the face of economic, environmental, and social challenges. Today's children can meet future challenges if their schooling and informal learning activities prepare them for adult roles as citizens, employees, managers, parents, volunteers, and entrepreneurs. To achieve their full potential as adults, young people need to develop a range of skills and knowledge that facilitate mastery and application of English, mathematics, and other school subjects. At the same time, business and political leaders are increasingly asking schools to develop skills such as problem solving, critical thinking, communication, collaboration, and self-management - often referred to as "21st century skills." Education for Life and Work: Developing Transferable Knowledge and Skills in the 21st Century describes this important set of key skills that increase deeper learning, college and career readiness, student-centered learning, and higher order thinking. These labels include both cognitive and non-cognitive skills- such as critical thinking, problem solving, collaboration, effective communication, motivation, persistence, and learning to learn. 21st century skills also include creativity, innovation, and ethics that are important to later success and may be developed in formal or informal learning environments. This report also describes how these skills relate to each other and to more traditional academic skills and content in the key disciplines of reading, mathematics, and science. Education for Life and Work: Developing Transferable Knowledge and Skills in the 21st Century summarizes the findings of the research that investigates the importance of such skills to success in education, work, and other areas of adult responsibility and that demonstrates the importance of developing these skills in K-16 education. In this report, features related to learning these skills are identified, which include teacher professional development, curriculum, assessment, after-school and out-of-school programs, and informal learning centers such as exhibits and museums.
Research in mathematics teacher education as a distinctive field of inquiry has grown substantially over the past 10-15 years. Within this field there is emerging interest in how mathematics teacher educators (MTEs) themselves learn and develop. Until recently there were few published studies on this topic, and the processes by which mathematics teacher educators learn, and the forms of knowledge they require for effective practice, had not been systematically investigated. However, researchers in mathematics education are now beginning to investigate the development of MTE expertise and associated issues. This volume draws on the latest research and thinking in this area is therefore timely to stimulate future development and directions. It will survey the emerging field of inquiry in mathematics education, combining the work of established scholars with perspectives of newcomers to the field, with the aim of influencing development of the field, invite cross-cultural comparisons in becoming a mathematics teacher educator by highlighting issues in the development of MTEs in different countries, and examine the roles of both mathematics educators and mathematicians in preparing future teachers of mathematics. The primary audience will be university-based mathematics teacher educators and MTE researchers, and postgraduate research students who are seeking academic careers as MTEs. Additional interest may come from teacher educators in disciplines other than mathematics, and education policy makers responsible for accreditation and quality control of initial teacher education programs.
Foster confident, well-rounded, career-ready students. Written for teachers and administrators, this targeted guide introduces the Youth Employability Skills (YES!) framework, which has been adopted by schools across the United States. Learn how to use this powerful framework in a multitude of courses to ensure students develop the essential attributes and soft skills needed to become thriving members of the global workplace. Use this resource to foster collaboration and problem solving that will benefit students in the professional realm: Consider nine essential employability skills and how to foster each in students. Benefit from a comprehensive framework that includes activities, instructional strategies, and resources. Align with the mandates of the Every Student Succeeds Act to prepare students to succeed in college and careers. Gain an understanding of educators' roles in connecting students to the vast possibilities and opportunities ahead of them. Examine real-life examples as well as supporting research and evidence that the YES! framework is effective. Contents: Acknowledgments Table of Contents About the Authors Preface Introduction Chapter 1: The Impact of Regulations on Employability-Skills Education Chapter 2: Communication Chapter 3: Teamwork and Collaboration Chapter 4: Critical Thinking and Problem Solving Chapter 5: Relationship-Building Know-How Chapter 6: Resource Management Chapter 7: Growth Mindset, Resilience, and Grit Chapter 8: Ethics, Values, and Integrity Chapter 9: Networking and Interview Savvy Chapter 10: Career-Pathway Preparation Epilogue Appendix References and Resources Index
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
This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.