Improving Applied Mathematics Education PDF Download

Author: Ron Buckmire
Publisher: Springer Nature
ISBN: 3030617173
Category : Education
Languages : en
Pages : 94

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Book Description
This book presents various contemporary topics in applied mathematics education and addresses both interested undergraduate instructors and STEM education researchers. The diverse set of topics of this edited volume range from analyzing the demographics of the United States mathematics community, discussing the teaching of calculus using modern tools, engaging students to use applied mathematics to learn about and solve problems of global significance, developing a general education course for humanities and social sciences students that features applications of mathematics, and describing local mathematical modeling competitions and their use in providing authentic experiences for students in applying mathematics to real world situations. The authors represent diversity along multiple dimensions of difference: race, gender, institutional affiliation, and professional experience.

Author: James J. Kaput
Publisher: American Mathematical Soc.
ISBN: 0821808826
Category : Education
Languages : en
Pages : 330

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Book Description
Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.

Author: Peter Liljedahl
Publisher: Corwin Press
ISBN: 1544374844
Category : Education
Languages : en
Pages : 454

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Book Description
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: Carl Wieman
Publisher: Harvard University Press
ISBN: 0674978927
Category : Science
Languages : en
Pages : 179

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Book Description
Too many universities remain wedded to outmoded ways of teaching science in spite of extensive research showing that there are much more effective methods. Too few departments ask whether what happens in their lecture halls is effective at helping students to learn and how they can encourage their faculty to teach better. But real change is possible, and Carl Wieman shows us how it can be brought about. Improving How Universities Teach Science draws on Wieman’s unparalleled experience to provide a blueprint for educators seeking sustainable improvements in science teaching. Wieman created the Science Education Initiative (SEI), a program implemented across thirteen science departments at the universities of Colorado and British Columbia, to support the widespread adoption of the best research-based approaches to science teaching. The program’s data show that in the most successful departments 90 percent of faculty adopted better methods. Wieman identifies what factors helped and hindered the adoption of good teaching methods. He also gives detailed, effective, and tested strategies for departments and institutions to measure and improve the quality of their teaching while limiting the demands on faculty time. Among all of the commentary addressing shortcomings in higher education, Wieman’s lessons on improving teaching and learning stand out. His analysis and solutions are not limited to just one lecture hall or course but deal with changing entire departments and universities. For those who want to improve how universities teach science to the next generation, Wieman’s work is a critical first step.

Author: Wendy M. Smith
Publisher: American Mathematical Soc.
ISBN: 1470463776
Category : Education
Languages : en
Pages : 348

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Book Description
The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?

Author: Viviane Durand-Guerrier
Publisher: Routledge
ISBN: 1000369285
Category : Education
Languages : en
Pages : 244

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Book Description
In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Author: Jürgen Maasz
Publisher: Sense Publishers
ISBN: 9077874747
Category : Mathematics
Languages : en
Pages : 323

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Book Description
Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics. Although our knowledge of the process is more extensive and deeper despite the fragmented nature of research in this area, there is still a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview by addressing some carefully chosen questions on what is going on and what are the main results and questions what are important books or papers if further information is needed.

Author: Sudhakar Nair
Publisher: Cambridge University Press
ISBN: 1139499289
Category : Technology & Engineering
Languages : en
Pages : 233

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Book Description
This book is ideal for engineering, physical science and applied mathematics students and professionals who want to enhance their mathematical knowledge. Advanced Topics in Applied Mathematics covers four essential applied mathematics topics: Green's functions, integral equations, Fourier transforms and Laplace transforms. Also included is a useful discussion of topics such as the Wiener–Hopf method, finite Hilbert transforms, the Cagniard–De Hoop method and the proper orthogonal decomposition. This book reflects Sudhakar Nair's long classroom experience and includes numerous examples of differential and integral equations from engineering and physics to illustrate the solution procedures. The text includes exercise sets at the end of each chapter and a solutions manual, which is available for instructors.

Author: Zehui Zhan
Publisher: Springer Nature
ISBN: 249406905X
Category : Education
Languages : en
Pages : 1663

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Book Description
This is an open access book. 2022 International Conference on Science Education and Art Appreciation (SEAA 2022) was held on June 24–26, 2022 in Chengdu, China. It aims to encourage exchange of information on research frontiers in different fields, connect the most advanced academic resources in China and abroad, turn research results into industrial solutions, bring together talents, technologies and capital to boost development. The purpose of the conference is to provide an international platform for experts, scholars, engineers and technicians, and technical R&D personnel engaged in related fields such as "Science Education" and "Art Appreciation" , to share scientific research results, broaden research ideas, collide with new ideas, and strengthen academic research, and to explore the key challenges and research directions faced by the development of this field, and promote the industrialization cooperation of academic achievements. Experts, scholars, business people and other relevant personnel from universities and research institutions at home and abroad are cordially invited to attend and exchange.

Author: Lukas Baumanns
Publisher: Springer Nature
ISBN: 3658399171
Category : Mathematics
Languages : en
Pages : 299

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Book Description
Mathematical problem posing as the substantive formulation of mathematical problems is an activity that lies at the heart of mathematics. In recent years, research in mathematics education has endeavored to gain insights into problem posing—conceptually as well as empirically. In problem-posing research, there has been a focus on analyzing products, that is, the posed problems. Insights into the processes that lead to these products, however, have so far been lacking. Within four journal articles, summarized in this cumulative dissertation, the author attempts to contribute to the understanding of problem-posing processes through conceptual considerations and empirical investigations. The conceptual part consists of a conducted systematic literature review to investigate problem-posing situations and problem-posing activities. The studies in the empirical part deal with the analyses of problem-posing processes of pre-service mathematics teachers from a macroscopic and microscopic perspective. The aim is to develop coherent and meaningful conceptual perspectives for analyzing empirical observations of problem-posing processes.