Quantitative Reasoning in Mathematics and Science Education

Quantitative Reasoning in Mathematics and Science Education PDF Author: Gülseren Karagöz Akar
Publisher: Springer Nature
ISBN: 3031145534
Category : Education
Languages : en
Pages : 343

Get Book

Book Description
This book focuses on quantitative reasoning as an orienting framework to analyse learning, teaching and curriculum in mathematics and science education. Quantitative reasoning plays a vital role in learning concepts foundational to arithmetic, algebra, calculus, geometry, trigonometry and other ideas in STEM. The book draws upon the importance of quantitative reasoning and its crucial role in education. It particularly delves into quantitative reasoning related to the learning and teaching diverse mathematics and science concepts, conceptual analysis of mathematical and scientific ideas and analysis of school mathematics (K-16) curricula in different contexts. We believe that it can be considered as a reference book to be used by researchers, teacher educators, curriculum developers and pre- and in-service teachers.

Quantitative Reasoning in the Context of Energy and Environment

Quantitative Reasoning in the Context of Energy and Environment PDF Author: Robert Mayes
Publisher: Springer
ISBN: 9462095272
Category : Education
Languages : en
Pages : 446

Get Book

Book Description
This book provides professional development leaders and teachers with a framework for integrating authentic real-world performance tasks into science, technology, engineering, and mathematics (STEM) classrooms. We incorporate elements of problem-based learning to engage students around grand challenges in energy and environment, place-based leaning to motivate students by relating the problem to their community, and Understanding by Design to ensure that understanding key concepts in STEM is the outcome. Our framework has as a basic tenet interdisciplinary STEM approaches to studying real-world problems. We invited professional learning communities of science and mathematics teachers to bring multiple lenses to the study of these problems, including the sciences of biology, chemistry, earth systems and physics, technology through data collection tools and computational science modeling approaches, engineering design around how to collect data, and mathematics through quantitative reasoning. Our goal was to have teachers create opportunities for their students to engage in real-world problems impacting their place; problems that could be related to STEM grand challenges demonstrating the importance and utility of STEM. We want to broaden the participation of students in STEM, which both increases the future STEM workforce, providing our next generation of scientists, technologists, engineers, and mathematicians, as well as producing a STEM literate citizenry that can make informed decisions about grand challenges that will be facing their generation. While we provide a specifi c example of an interdisciplinary STEM module, we hope to do more than provide a single fish. Rather we hope to teach you how to fish so you can create modules that will excite your students.

Reconceptualizing STEM Education

Reconceptualizing STEM Education PDF Author: Richard A. Duschl
Publisher: Routledge
ISBN: 1317458508
Category : Education
Languages : en
Pages : 364

Get Book

Book Description
Reconceptualizing STEM Education explores and maps out research and development ideas and issues around five central practice themes: Systems Thinking; Model-Based Reasoning; Quantitative Reasoning; Equity, Epistemic, and Ethical Outcomes; and STEM Communication and Outreach. These themes are aligned with the comprehensive agenda for the reform of science and engineering education set out by the 2015 PISA Framework, the US Next Generation Science Standards and the US National Research Council’s A Framework for K-12 Science Education. The new practice-focused agenda has implications for the redesign of preK-12 education for alignment of curriculum-instruction-assessment; STEM teacher education and professional development; postsecondary, further, and graduate studies; and out-of-school informal education. In each section, experts set out powerful ideas followed by two eminent discussant responses that both respond to and provoke additional ideas from the lead papers. In the associated website highly distinguished, nationally recognized STEM education scholars and policymakers engage in deep conversations and considerations addressing core practices that guide STEM education.

Interdisciplinary Mathematics Education

Interdisciplinary Mathematics Education PDF Author: Brian Doig
Publisher: Springer
ISBN: 3030110664
Category : Education
Languages : en
Pages : 302

Get Book

Book Description
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.

Mathematical Modelling Education in East and West

Mathematical Modelling Education in East and West PDF Author: Frederick Koon Shing Leung
Publisher: Springer Nature
ISBN: 3030669963
Category : Education
Languages : en
Pages : 666

Get Book

Book Description
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.

Development of Multiplicative Reasoning in the Learning of Mathematics, The

Development of Multiplicative Reasoning in the Learning of Mathematics, The PDF Author: Guershon Harel
Publisher: State University of New York Press
ISBN: 1438405804
Category : Education
Languages : en
Pages : 448

Get Book

Book Description
Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.

Using & Understanding Mathematics

Using & Understanding Mathematics PDF Author: Jeffrey O. Bennett
Publisher: Pearson College Division
ISBN: 9780321652799
Category : Mathematics
Languages : en
Pages : 676

Get Book

Book Description
Using and Understanding Mathematics: A Quantitative Reasoning Approach, Fifth Edition increases readers' mathematical literacy so that they better understand the mathematics used in their daily lives, and can use math effectively to make better decisions every day. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts. Note: This is the standalone book, if you want the book with the Access Card please order the ISBN below: 0321727746 / 9780321727749 Using and Understanding Mathematics: A Quantitative Reasoning Approach with MathXL (12-month access) * Package consists of 0201716305 / 9780201716306 MathXL -- Valuepack Access Card (12-month access) 0321652797 / 9780321652799 Using and Understanding Mathematics: A Quantitative Reasoning Approach

Modeling Students' Mathematical Modeling Competencies

Modeling Students' Mathematical Modeling Competencies PDF Author: Richard Lesh
Publisher: Springer Science & Business Media
ISBN: 9400762712
Category : Education
Languages : en
Pages : 651

Get Book

Book Description
Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Handbook of Child Psychology and Developmental Science, Cognitive Processes

Handbook of Child Psychology and Developmental Science, Cognitive Processes PDF Author:
Publisher: John Wiley & Sons
ISBN: 1118953851
Category : Psychology
Languages : en
Pages : 1120

Get Book

Book Description
The essential reference for human development theory, updatedand reconceptualized The Handbook of Child Psychology and DevelopmentalScience, a four-volume reference, is the field-defining work towhich all others are compared. First published in 1946, and now inits Seventh Edition, the Handbook has long been consideredthe definitive guide to the field of developmental science. Volume 2: Cognitive Processes describes cognitivedevelopment as a relational phenomenon that can be studied only aspart of a larger whole of the person and context relational systemthat sustains it. In this volume, specific domains of cognitivedevelopment are contextualized with respect to biological processesand sociocultural contexts. Furthermore, key themes and issues(e.g., the importance of symbolic systems and social understanding)are threaded across multiple chapters, although every each chapteris focused on a different domain within cognitive development.Thus, both within and across chapters, the complexity andinterconnectivity of cognitive development are wellilluminated. Learn about the inextricable intertwining of perceptualdevelopment, motor development, emotional development, and braindevelopment Understand the complexity of cognitive development withoutmisleading simplification, reducing cognitive development to itsbiological substrates, or viewing it as a passive socializationprocess Discover how each portion of the developmental processcontributes to subsequent cognitive development Examine the multiple processes – such as categorizing,reasoning, thinking, decision making and judgment – thatcomprise cognition The scholarship within this volume and, as well, across the fourvolumes of this edition, illustrate that developmental science isin the midst of a very exciting period. There is a paradigm shiftthat involves increasingly greater understanding of how todescribe, explain, and optimize the course of human life fordiverse individuals living within diverse contexts. ThisHandbook is the definitive reference for educators,policy-makers, researchers, students, and practitioners in humandevelopment, psychology, sociology, anthropology, andneuroscience.

Scientific Inquiry in Mathematics - Theory and Practice

Scientific Inquiry in Mathematics - Theory and Practice PDF Author: Andrzej Sokolowski
Publisher: Springer
ISBN: 3319895249
Category : Education
Languages : en
Pages : 136

Get Book

Book Description
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.

Quantitative Reasoning in Mathematics and Science Education

Quantitative Reasoning in Mathematics and Science Education PDF Author: Gülseren Karagöz Akar
Publisher: Springer Nature
ISBN: 3031145534
Category : Education
Languages : en
Pages : 343

View

Book Description
This book focuses on quantitative reasoning as an orienting framework to analyse learning, teaching and curriculum in mathematics and science education. Quantitative reasoning plays a vital role in learning concepts foundational to arithmetic, algebra, calculus, geometry, trigonometry and other ideas in STEM. The book draws upon the importance of quantitative reasoning and its crucial role in education. It particularly delves into quantitative reasoning related to the learning and teaching diverse mathematics and science concepts, conceptual analysis of mathematical and scientific ideas and analysis of school mathematics (K-16) curricula in different contexts. We believe that it can be considered as a reference book to be used by researchers, teacher educators, curriculum developers and pre- and in-service teachers.

Quantitative Reasoning in the Context of Energy and Environment

Quantitative Reasoning in the Context of Energy and Environment PDF Author: Robert Mayes
Publisher: Springer
ISBN: 9462095272
Category : Education
Languages : en
Pages : 446

View

Book Description
This book provides professional development leaders and teachers with a framework for integrating authentic real-world performance tasks into science, technology, engineering, and mathematics (STEM) classrooms. We incorporate elements of problem-based learning to engage students around grand challenges in energy and environment, place-based leaning to motivate students by relating the problem to their community, and Understanding by Design to ensure that understanding key concepts in STEM is the outcome. Our framework has as a basic tenet interdisciplinary STEM approaches to studying real-world problems. We invited professional learning communities of science and mathematics teachers to bring multiple lenses to the study of these problems, including the sciences of biology, chemistry, earth systems and physics, technology through data collection tools and computational science modeling approaches, engineering design around how to collect data, and mathematics through quantitative reasoning. Our goal was to have teachers create opportunities for their students to engage in real-world problems impacting their place; problems that could be related to STEM grand challenges demonstrating the importance and utility of STEM. We want to broaden the participation of students in STEM, which both increases the future STEM workforce, providing our next generation of scientists, technologists, engineers, and mathematicians, as well as producing a STEM literate citizenry that can make informed decisions about grand challenges that will be facing their generation. While we provide a specifi c example of an interdisciplinary STEM module, we hope to do more than provide a single fish. Rather we hope to teach you how to fish so you can create modules that will excite your students.

Reconceptualizing STEM Education

Reconceptualizing STEM Education PDF Author: Richard A. Duschl
Publisher: Routledge
ISBN: 1317458508
Category : Education
Languages : en
Pages : 364

View

Book Description
Reconceptualizing STEM Education explores and maps out research and development ideas and issues around five central practice themes: Systems Thinking; Model-Based Reasoning; Quantitative Reasoning; Equity, Epistemic, and Ethical Outcomes; and STEM Communication and Outreach. These themes are aligned with the comprehensive agenda for the reform of science and engineering education set out by the 2015 PISA Framework, the US Next Generation Science Standards and the US National Research Council’s A Framework for K-12 Science Education. The new practice-focused agenda has implications for the redesign of preK-12 education for alignment of curriculum-instruction-assessment; STEM teacher education and professional development; postsecondary, further, and graduate studies; and out-of-school informal education. In each section, experts set out powerful ideas followed by two eminent discussant responses that both respond to and provoke additional ideas from the lead papers. In the associated website highly distinguished, nationally recognized STEM education scholars and policymakers engage in deep conversations and considerations addressing core practices that guide STEM education.

Interdisciplinary Mathematics Education

Interdisciplinary Mathematics Education PDF Author: Brian Doig
Publisher: Springer
ISBN: 3030110664
Category : Education
Languages : en
Pages : 302

View

Book Description
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.

Mathematical Modelling Education in East and West

Mathematical Modelling Education in East and West PDF Author: Frederick Koon Shing Leung
Publisher: Springer Nature
ISBN: 3030669963
Category : Education
Languages : en
Pages : 666

View

Book Description
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.

Development of Multiplicative Reasoning in the Learning of Mathematics, The

Development of Multiplicative Reasoning in the Learning of Mathematics, The PDF Author: Guershon Harel
Publisher: State University of New York Press
ISBN: 1438405804
Category : Education
Languages : en
Pages : 448

View

Book Description
Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.

Using & Understanding Mathematics

Using & Understanding Mathematics PDF Author: Jeffrey O. Bennett
Publisher: Pearson College Division
ISBN: 9780321652799
Category : Mathematics
Languages : en
Pages : 676

View

Book Description
Using and Understanding Mathematics: A Quantitative Reasoning Approach, Fifth Edition increases readers' mathematical literacy so that they better understand the mathematics used in their daily lives, and can use math effectively to make better decisions every day. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts. Note: This is the standalone book, if you want the book with the Access Card please order the ISBN below: 0321727746 / 9780321727749 Using and Understanding Mathematics: A Quantitative Reasoning Approach with MathXL (12-month access) * Package consists of 0201716305 / 9780201716306 MathXL -- Valuepack Access Card (12-month access) 0321652797 / 9780321652799 Using and Understanding Mathematics: A Quantitative Reasoning Approach

Modeling Students' Mathematical Modeling Competencies

Modeling Students' Mathematical Modeling Competencies PDF Author: Richard Lesh
Publisher: Springer Science & Business Media
ISBN: 9400762712
Category : Education
Languages : en
Pages : 651

View

Book Description
Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Handbook of Child Psychology and Developmental Science, Cognitive Processes

Handbook of Child Psychology and Developmental Science, Cognitive Processes PDF Author:
Publisher: John Wiley & Sons
ISBN: 1118953851
Category : Psychology
Languages : en
Pages : 1120

View

Book Description
The essential reference for human development theory, updatedand reconceptualized The Handbook of Child Psychology and DevelopmentalScience, a four-volume reference, is the field-defining work towhich all others are compared. First published in 1946, and now inits Seventh Edition, the Handbook has long been consideredthe definitive guide to the field of developmental science. Volume 2: Cognitive Processes describes cognitivedevelopment as a relational phenomenon that can be studied only aspart of a larger whole of the person and context relational systemthat sustains it. In this volume, specific domains of cognitivedevelopment are contextualized with respect to biological processesand sociocultural contexts. Furthermore, key themes and issues(e.g., the importance of symbolic systems and social understanding)are threaded across multiple chapters, although every each chapteris focused on a different domain within cognitive development.Thus, both within and across chapters, the complexity andinterconnectivity of cognitive development are wellilluminated. Learn about the inextricable intertwining of perceptualdevelopment, motor development, emotional development, and braindevelopment Understand the complexity of cognitive development withoutmisleading simplification, reducing cognitive development to itsbiological substrates, or viewing it as a passive socializationprocess Discover how each portion of the developmental processcontributes to subsequent cognitive development Examine the multiple processes – such as categorizing,reasoning, thinking, decision making and judgment – thatcomprise cognition The scholarship within this volume and, as well, across the fourvolumes of this edition, illustrate that developmental science isin the midst of a very exciting period. There is a paradigm shiftthat involves increasingly greater understanding of how todescribe, explain, and optimize the course of human life fordiverse individuals living within diverse contexts. ThisHandbook is the definitive reference for educators,policy-makers, researchers, students, and practitioners in humandevelopment, psychology, sociology, anthropology, andneuroscience.

Scientific Inquiry in Mathematics - Theory and Practice

Scientific Inquiry in Mathematics - Theory and Practice PDF Author: Andrzej Sokolowski
Publisher: Springer
ISBN: 3319895249
Category : Education
Languages : en
Pages : 136

View

Book Description
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.