Foundations For The Future In Mathematics Education
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Foundations For The Future In Mathematics Education
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Author : Richard A. Lesh
language : en
Publisher: Routledge
Release Date : 2020-10-07
Foundations For The Future In Mathematics Education written by Richard A. Lesh and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-07 with Education categories.
The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education.
Designs For Learning Environments Of The Future
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Author : Michael Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-10
Designs For Learning Environments Of The Future written by Michael Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Education categories.
Few things are as certain as societal changes—and the pressing need for educators to prepare students with the knowledge and ways of thinking necessary for the challenges in a changing world. In the forward-thinking pages of Designs for Learning Environments of the Future, international teams of researchers present emerging developments and findings in learning sciences and technologies at the infrastructure, curricular, and classroom levels. Focusing on ideas about designing innovative environments for learning in areas such as biology, engineering, genetics, mathematics, and computer science, the book surveys a range of learning technologies being explored around the world—a spectrum as diverse as digital media, computer modeling, and 3D virtual worlds—and addresses challenges arising from their design and use. The editors’ holistic perspective frames these innovations as not only discrete technologies but as flexible learning environments that foster student engagement, participation, and collaboration. Contributors describe possibilities for teaching and learning in these and other cutting-edge areas: Working with hypermodels and model-based reasoning Using visual representations in teaching abstract concepts Designing strategies for learning in virtual worlds Supporting net-based collaborative teams Integrating innovative learning technologies into schools Developing personal learning communities Designs for Learning Environments of the Future will enhance the work of a wide range of professionals, including researchers and graduate students in the learning and cognitive sciences, and educators in the physical and social sciences.
Handbook Of International Research In Mathematics Education
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2010-04-02
Handbook Of International Research In Mathematics Education written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-02 with Education categories.
The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.
Theories Of Mathematics Education
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Author : Bharath Sriraman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-13
Theories Of Mathematics Education written by Bharath Sriraman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-13 with Education categories.
Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.
Foundation For The Future
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Author : National Science Foundation (U.S.). Directorate for Education and Human Resources
language : en
Publisher:
Release Date : 1995
Foundation For The Future written by National Science Foundation (U.S.). Directorate for Education and Human Resources and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Engineering categories.
Digital Technologies In Designing Mathematics Education Tasks
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Author : Allen Leung
language : en
Publisher: Springer
Release Date : 2016-10-12
Digital Technologies In Designing Mathematics Education Tasks written by Allen Leung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-12 with Education categories.
This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners’ experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.
Models And Modeling In Engineering Education
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Author :
language : en
Publisher: BRILL
Release Date : 2008-01-01
Models And Modeling In Engineering Education written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Education categories.
Few research-based resources make engagement in engineering education reform and research practical for current and future educators. Yet, engineering educators are under immense pressure to address a wide variety of educational goals that extend well beyond the traditional student learning of engineering science and design. The now familiar ABET Criterion 3 a though k has placed the responsibility squarely on the shoulders of every engineering faculty member to ensure that our graduates have abilities in the areas of problem solving in complex engineering settings, teaming and communication and understandings in the areas of ethics, global and societal impact, and contemporary issues. Engineering educators must also concern themselves with recruitment and retention of a diverse student population. Creating learning experiences and environments that encourage and support the success of all students is a priority for engineering education reform. This book is primarily being written for current and future engineering educators and researchers. The focus is on the design, development, implementation, and study of a special category of open-ended problems—the model-eliciting activity. These are realistic problems with engineering content and contexts designed to tap the strengths of all students while providing hooks to address simultaneously other educational goals. As problem solving is at the heart of engineering education and practice, it is a theme of wide appeal to engineering educators. The aims of this book are to (1) provide engineering faculty with practical tools for creating, implementing, and assessing the use of open-ended problems that meet a variety of educational goals, (2) facilitate future collaborations between engineering and education, (3) forward engineering education as a scholarly discipline by providing a resource with which to inform and teach future educators and researchers. The book describes how incorporating mathematical modeling activities and projects, that are designed to reflect authentic engineering experience, into engineering classes has the potential to enhance and tap the diverse strengths of students who come from a variety of backgrounds. Based on the experience of a cadre of engineering and education professors who were at Purdue University during a major curriculum reform effort, this book provides a case study of the Purdue experience, which in part launched the historical beginning of the Department of Engineering Education, the first program in the United States. The reader will be provided with critical activities and tools designed during the project, and the book will be written in a way to help the reader adapt the work to their own situations. More Detail About the Content The NSF-funded Small Group Mathematical Modeling for Improved Gender Equity (SGMM) Project featured activities that require students to work in small technical teams to design mathematical models in response to engineering-related problems. Students produce a product for a specified client who communicates an explicitly stated need. Because the activities are designed such that the mathematical model is the answer/product, students’ mathematical thinking is revealed, providing data for formative and evaluative assessment of the curriculum innovation. The activities and the data derived from the use of the activities acted as a seeds for system reform, which resulted in changes in practice, perspectives and beliefs on the parts of engineering and education professors, and graduate researcher assistants. The curriculum reform was initiated and stud...
Proof And Proving In Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14
Proof And Proving In Mathematics Education written by Gila Hanna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Education categories.
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Shaping The Future
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Author :
language : en
Publisher:
Release Date : 1996
Shaping The Future written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Engineering categories.
Mathematical Modelling Education And Sense Making
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Author : Gloria Ann Stillman
language : en
Publisher: Springer Nature
Release Date : 2020-05-14
Mathematical Modelling Education And Sense Making written by Gloria Ann Stillman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Education categories.
This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.