Quantitative Reasoning And The Environment

An introductory quantitative math book with an environmental theme. The emphasis of this text is on analyzing real environmental information and problems, using mathematics accessible to students with an intermediate algebra background. Students using this text will develop mathematical (and environmental) literacy as they model natural processes using algebraic, graphical and numerical methods, and analyze data quantitatively to assist in objective decision making. The textbook is comprised of 4 principal sections: (1) basic numeracy; (2) function modeling; (3) difference equation modeling, ∧ (4) elementary statistics. Furthermore, this textbook combines both a reform and traditional approach. Traditional in that each chapter presents introductory material, worked examples, multiple student problems, and solutions to odd exercises. It is reform in that it investigates material through a synthesis of algebraic, graphical, numerical and verbal approaches.

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.

This Second Edition of Quantitative Reasoning empowers students to use quantitative information to make responsible financial, environmental, and health-related decisions in their daily lives. Students develop their critical thinking skills through numerous examples, explorations, and activities featuring real data. Students use a variety of analysis throughout the text: inductive and deductive reasoning; tabular, symbolic, verbal, and graphical forms of functions and relations; graphs and pictorial representations of data; interpretations of probabilistic data; surveys and statistical studies. Sevilla and Somer's Quantitative Reasoning, 2nd Edition comes available with WileyPLUS, a research-based, online environment for effective teaching and learning, which takes the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it, and whether they did it right. WileyPLUS sold separately from text.

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.

Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the mathematics classroom. From the Foreword No longer will you be just a spectator when people give you quantitative information—you will become an active participant who can engage and contribute new insights to any discussion.[...] There are many math books that will feed you knowledge, but it is rare to see a book like this one that will help you cultivate wisdom.[...] As the authors illustrate, mathematics that pays attention to human considerations can help you look at the world with a new lens, help you frame important questions, and help you make wise decisions. Francis Edward Su, Harvey Mudd College

Mathematics for the Environment shows how to employ simple mathematical tools, such as arithmetic, to uncover fundamental conflicts between the logic of human civilization and the logic of Nature. These tools can then be used to understand and effectively deal with economic, environmental, and social issues. With elementary mathematics, the book se

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.

Can we coexist with the other life forms that have evolved on this planet? Are there realistic alternatives to fossil fuels that would sustainably provide for human society's energy needs and have fewer harmful effects? How do we deal with threats such as emergent diseases? Mathematical models—equations of various sorts capturing relationships between variables involved in a complex situation—are fundamental for understanding the potential consequences of choices we make. Extracting insights from the vast amounts of data we are able to collect requires analysis methods and statistical reasoning. This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate “liberal arts mathematics”-type course but with a specific focus on environmental applications. It is suitable for introductory courses with no prerequisites beyond high school mathematics. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new real-world examples. Every chapter ends with a section of problems, as well as with an extended chapter project which often involves substantial computing work either in spreadsheet software or in the R statistical package.