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Scientific Inquiry in Mathematics - Theory and Practice

Author: Andrzej Sokolowski

Publisher: Springer

Published: 2018-05-02

Total Pages: 143

ISBN-13: 3319895249

This valuable resource provides an overview of recent research and strategies in developing and applying modelling to promote practice-based research in STEM education. In doing so, it bridges barriers across academic disciplines by suggesting activities that promote integration of qualitative science concepts with the tools of mathematics and engineering. The volume’s three parts offer a comprehensive review, by 1) Presenting a conceptual background of how scientific inquiry can be induced in mathematics classes considering recommendations of prior research, 2) Collecting case studies that were designed using scientific inquiry process designed for math classes, and 3) Exploring future possibilities and directions for the research included within. Among the topics discussed: · STEM education: A platform for multidisciplinary learning. · Teaching and learning representations in STEM. · Formulating conceptual framework for multidisciplinary STEM modeling. · Exploring function continuity in context. · Exploring function transformations using a dynamic system. Scientific Inquiry in Mathematics - Theory and Practice delivers hands-on and concrete strategies for effective STEM teaching in practice to educators within the fields of mathematics, science, and technology. It will be of interest to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for integrating inquiry-based learning into STEM classrooms.

Elements of Scientific Inquiry

Author: Eric Martin

Publisher: MIT Press

Published: 1998

Total Pages: 300

ISBN-13: 9780262133425

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Eric Martin and Daniel N. Osherson present a theory of inductive logic built on model theory. Their aim is to extend the mathematics of Formal Learning Theory to a more general setting and to provide a more accurate image of empirical inquiry. The formal results of their study illuminate aspects of scientific inquiry that are not covered by the commonly applied Bayesian approach.

How Students Learn

Author: National Research Council

Publisher: National Academies Press

Published: 2005-01-28

Total Pages: 265

ISBN-13: 0309089506

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How Students Learn: Science in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in science at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. This book discusses how to build straightforward science experiments into true understanding of scientific principles. It also features illustrated suggestions for classroom activities.

Inquiry Strategies for Science and Mathematics Learning

Author: Denise Jarrett

Publisher:

Published: 1997

Total Pages: 42

ISBN-13:

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Scientific Research in Education

Author: National Research Council

Publisher: National Academies Press

Published: 2002-03-28

Total Pages: 204

ISBN-13: 0309133092

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Researchers, historians, and philosophers of science have debated the nature of scientific research in education for more than 100 years. Recent enthusiasm for "evidence-based" policy and practice in educationâ€"now codified in the federal law that authorizes the bulk of elementary and secondary education programsâ€"have brought a new sense of urgency to understanding the ways in which the basic tenets of science manifest in the study of teaching, learning, and schooling. Scientific Research in Education describes the similarities and differences between scientific inquiry in education and scientific inquiry in other fields and disciplines and provides a number of examples to illustrate these ideas. Its main argument is that all scientific endeavors share a common set of principles, and that each fieldâ€"including education researchâ€"develops a specialization that accounts for the particulars of what is being studied. The book also provides suggestions for how the federal government can best support high-quality scientific research in education.

Lesson Study Research and Practice in Mathematics Education

Author: Lynn C. Hart

Publisher: Springer Science & Business Media

Published: 2011-01-11

Total Pages: 293

ISBN-13: 9048199417

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Lesson study is a professional development process that teachers engage in to systematically examine their practice, with the goal of becoming more effective. Originating in Japan, lesson study has gained significant momentum in the mathematics education community in recent years. As a process for professional development, lesson study became highly visible when it was proposed as a means of supporting the common practice of promoting better teaching by disseminating documents like standards, benchmarks and nationally validated curricula. While the body of knowledge about lesson study is growing, it remains somewhat elusive and composed of discrete research endeavors. As a new research area there is no coherent knowledge base yet. This book will contribute to the field bringing the work of researchers and practitioners together to create a resource for extant work. This book describes several aspects of Lesson Study, amongst others: it gives an historical overview of the concept, it addresses issues related to learning and teaching mathematics, it looks at the role of the teacher in the process. The last two sections of the book look at how lesson Study can be used with preservice mathematics teachers and at university mathematics methods teaching.

Understanding Physics Using Mathematical Reasoning

Author: Andrzej Sokolowski

Publisher: Springer Nature

Published: 2021-08-20

Total Pages: 208

ISBN-13: 3030802051

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This book speaks about physics discoveries that intertwine mathematical reasoning, modeling, and scientific inquiry. It offers ways of bringing together the structural domain of mathematics and the content of physics in one coherent inquiry. Teaching and learning physics is challenging because students lack the skills to merge these learning paradigms. The purpose of this book is not only to improve access to the understanding of natural phenomena but also to inspire new ways of delivering and understanding the complex concepts of physics. To sustain physics education in college classrooms, authentic training that would help develop high school students’ skills of transcending function modeling techniques to reason scientifically is needed and this book aspires to offer such training The book draws on current research in developing students’ mathematical reasoning. It identifies areas for advancements and proposes a conceptual framework that is tested in several case studies designed using that framework. Modeling Newton’s laws using limited case analysis, Modeling projectile motion using parametric equations and Enabling covariational reasoning in Einstein formula for the photoelectric effect represent some of these case studies. A wealth of conclusions that accompany these case studies, drawn from the realities of classroom teaching, is to help physics teachers and researchers adopt these ideas in practice.

Mathematical Modelling Education in East and West

Author: Frederick Koon Shing Leung

Publisher: Springer Nature

Published: 2021-04-26

Total Pages: 666

ISBN-13: 3030669963

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This book documents ongoing research and theorizing 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 tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China. Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications. The book provides a dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy.

Handbook of Research on Innovations in Non-Traditional Educational Practices

Author: Keengwe, Jared

Publisher: IGI Global

Published: 2020-12-11

Total Pages: 462

ISBN-13: 1799843610

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While many school districts and institutions of higher education still cling to the traditional agrarian school year with a factory model delivery of education and Carnegie units based on seat time when most people are no longer farmers, factory workers, or reliant on learning in a classroom, there are bursts of promising practices that buck the norm by questioning the educational value of these traditions. Though researchers have investigated the potential of students learning in their own homes via personalized instruction delivered by computers rather than attending traditional institutions, the status quo in education has remained stubbornly resistant to change. Mixed-reality simulations, year-round schooling, grouping students by competencies instead of age, and game-based teaching are just a few of the educational innovations that seek to maximize learning by recognizing that innovation is essential for successfully teaching students in the modern era. The Handbook of Research on Innovations in Non-Traditional Educational Practices is a comprehensive reference source that examines various educational innovations, how they have developed workarounds to navigate traditional systems, and their potential to radically transform teaching and learning. With each chapter highlighting a different educational innovation such as experiential learning, game-based learning, online learning, and inquiry-based learning and their applications in all levels of education, this book explores the issues and challenges these educational innovations face as well as their impact. It is intended for academicians, professionals, administrators, and researchers in education and specifically benefits academic deans, vice presidents of academic affairs, graduate students, faculty technology leaders, directors of teaching and learning centers, curriculum and instructional designers, policymakers, principals and superintendents, and teachers interested in educational change.

Interdisciplinary Mathematics Education

Author: Brian Doig

Publisher: Springer

Published: 2019-02-22

Total Pages: 302

ISBN-13: 3030110664

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This open access book is the first major publication on the topic of “Interdisciplinary Mathematics Education” and arose from the work of the first International Topic Study Group of the same name at the ICME-13 conference in Hamburg in 2016. It offers extensive theoretical insights, empirical research, and practitioner accounts of interdisciplinary mathematics work in STEM and beyond (e.g. in music and the arts). Scholars and practitioners from four continents contributed to this comprehensive book, and present studies on: the conceptualizations of interdisciplinarity; implementation cases at schools and tertiary institutions; teacher education; and implications for policy and practice. Each chapter, and the book itself, closes with an assessment of the most significant aspects that those involved in policy and practice, as well as future researchers, should take into account.