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How We Got from There to Here: A Story of Real Analysis
Robert Rogers; Eugene Boman · Open SUNY · 2014
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis. This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context. However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context. This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.
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Intermediate Algebra
John Redden · Saylor Foundation · 2012
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines. Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged. Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.
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Math in Society
David Lippman · David Lippman · 2017
Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).
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Elementary Algebra
John Redden · Saylor Foundation · 2011
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course. This text is, by far, the best elementary algebra textbook offered under a Creative Commons license. It is written in such a way as to maintain maximum flexibility and usability. A modular format was carefully integrated into the design. For example, certain topics, like functions, can be covered or omitted without compromising the overall flow of the text. An introduction of square roots in Chapter 1 is another example that allows for instructors wishing to include the quadratic formula early to do so. Topics such as these are carefully included to enhance the flexibility throughout. This textbook will effectively enable traditional or nontraditional approaches to elementary algebra. This, in addition to robust and diverse exercise sets, provides the base for an excellent individualized textbook instructors can use free of needless edition changes and excessive costs! A few other differences are highlighted below: Equivalent mathematical notation using standard text found on a keyboard A variety of applications and word problems included in most exercise sets Clearly enumerated steps found in context within carefully chosen examples Alternative methods and notation, modularly integrated, where appropriate Video examples available, in context, within the online version of the textbook Robust and diverse exercise sets with di
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International Relations
Stephen McGlinchey · E-International Relations · 2016
This book is designed to be a ‘Day 0' introduction to International Relations. As a beginner's guide, it has been structured to condense the most important information into the smallest space and present that information in the most accessible way. The chapters offer a broad sweep of the basic components of International Relations and the key contemporary issues that concern the discipline. The narrative arc forms a complete circle, taking readers from no knowledge to competency. The journey starts by examining how the international system was formed and ends by reflecting that International Relations is always adapting to events and is therefore a never-ending journey of discovery. Unlike typical textbooks, there are no boxes, charts, pictures or exercises. The philosophy underpinning this book is that these things can be a distraction. This book, like others in the E-IR Foundations series, is designed to capture attention with an engaging narrative. The chapters are short, with simple paragraphs and clear sentences placing the reader inside crucial issues and debates so they can understand how things work, and where they fit in the world around them.
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Reading Social Science Methods
Ann Reisner · University of Illinois Library - Urbana · 2023
Science has great potential to benefit society, but this potential comes with risks as well. Directed at introductory level social science and humanities majors, this textbook teaches the rules and limits of social science methods. Reisner starts from the assumption that it is not necessary to be able to do research to read and judge the soundness of research publications. The chapters guide students through an explicit set of rules for reading research articles developed from three common research methods: content analysis, survey research, and experimental method.
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Her Şey Bir Merhaba ile Başlar!
Jeannette Okur · COERLL · 2021
Her Şey Bir Merhaba ile Başlar! was developed for intermediate level Turkish language courses at the University of Texas at Austin. Intermediate learners and their instructors may use it for different purposes: self-study, classroom instruction, tutoring, or as a pastime. The lessons in Her Şey Bir Merhaba ile Başlar! integrate reading, listening and viewing comprehension, writing and speaking practice, grammar, vocabulary, and cultural activities. Dozens of audio and video clips of Turkish speakers describing their lives, their culture, and their country support and enhance these activities. The Her Şey Bir Merhaba ile Başlar! textbook, interactive H5P exercises, and YouTube channel comprise a media-rich open educational resource (OER) developed by Dr. Jeannette Okur at the University of Texas at Austin and published by the Center for Open Educational Resources and Language Learning under the U.S. Department of Education Title VI Grant #P229A180003, with additional support from the UT Liberal Arts Instructional Technology Services and the UT Center for Middle Eastern Studies.
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Introduction to Systems Biology: Workbook for Flipped-Classroom Teaching
Thomas Sauter; Marco Albrecht · Open Book Publishers · 2023
This book is an introduction to the language of systems biology, which is spoken among many disciplines, from biology to engineering. Authors Thomas Sauter and Marco Albrecht draw on a multidisciplinary background and evidence-based learning to facilitate the understanding of biochemical networks, metabolic modeling and system dynamics. Their pedagogic approach briefly highlights core ideas of concepts in a broader interdisciplinary framework to guide a more effective deep dive thereafter. The learning journey starts with the purity of mathematical concepts, reveals its power to connect biological entities in structure and time, and finally introduces physics concepts to tightly align abstraction with reality. This workbook is all about self-paced learning, supports the flipped-classroom concept, and kick-starts with scientific evidence on studying. Each chapter comes with links to external YouTube videos, learning checklists, and Integrated real-world examples to gain confidence in thinking across scientific perspectives. The result is an integrated approach that opens a line of communication between theory and application, enabling readers to actively learn as they read. This overview of capturing and analyzing the behavior of biological systems will interest adherers of systems biology and network analysis, as well as related fields such as bioinformatics, biology, cybernetics, and data science.
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Aerodynamics and Aircraft Performance
James Marchman III · Virginia Tech Libraries · 2004
Aerodynamics and Aircraft Performance, 3rd edition is a college undergraduate-level introduction to aircraft aerodynamics and performance. This text is designed for a course in Aircraft Performance that is taught before the students have had any course in fluid mechanics, fluid dynamics, or aerodynamics. The text is meant to provide the essential information from these types of courses that is needed for teaching basic subsonic aircraft performance, and it is assumed that the students will learn the full story of aerodynamics in other, later courses. The text assumes that the students will have had a university level Physics sequence in which they will have been introduced to the most fundamental concepts of statics, dynamics, fluid mechanics, and basic conservation laws that are needed to understand the coverage that follows. It is also assumed that students will have completed first year university level calculus sequence plus a course in multi-variable calculus. Separate courses in engineering statics and dynamics are helpful but not necessary. Any student who takes a course using this text after completing courses in aerodynamics or fluid dynamics should find the chapters of this book covering those subjects an interesting review of the material. The 236-page text was created specifically for use by undergraduate students in Aerospace Engineering and was based on Professor Marchman’s many years of experience teaching related subject matter as well as his numerous wind tunnel research projects related to aircraft aerodynamics and his personal experience as the owner and pilot of a general aviation airplane. It has been used at Virginia Tech and other universities. Instructors reviewing, adopting, or adapting parts or the whole of the text are requested to register their interest at: https://bit.ly/aerodynamics_interest.
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Elementary Differential Equations with Boundary Value Problems
William Trench · A.T. Still University · 2013
Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student's place, and have chosen to err on the side of too much detail rather than not enough. An elementary text can't be better than its exercises. This text includes 1695 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and definitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 250 completely worked out examples. Where appropriate, concepts and results are depicted in 144 figures. Although I believe that the computer is an immensely valuable tool for learning, doing, and writing mathematics, the selection and treatment of topics in this text reflects my pedagogical orientation along traditional lines. However, I have incorporated what I believe to be the best use of modern technology, so you can select the level of technology that you want to include in your course. The text includes 336 exercises – identified by the symbols C and C/G – that call for graphics or computation and graphics. There are also 73 laboratory exercises – identified by L – that require extensive use of technology. In addition, several sections include informal advice on the use of technology. If you prefer not to emphasize technology, simply ignore these exercises and the advice.
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Sustainability: A Comprehensive Foundation
Tom Theis; Jonathan Tomkin · OpenStax CNX · 2015
With “Sustainability: A Comprehensive Foundation”, first and second-year college students are introduced to this expanding new field, comprehensively exploring the essential concepts from every branch of knowledge – including engineering and the applied arts, natural and social sciences, and the humanities. As sustainability is a multi-disciplinary area of study, the text is the product of multiple authors drawn from the diverse faculty of the University of Illinois: each chapter is written by a recognized expert in the field. This text is designed to introduce the reader to the essential concepts of sustainability. This subject is of vital importance seeking as it does to uncover the principles of the long-term welfare of all the peoples of the planet but is only peripherally served by existing college textbooks. The content is intended to be useful for both a broad-based introductory class on sustainability and as a useful supplement to specialist courses which wish to review the sustainability dimensions of their areas of study. By covering a wide range of topics with a uniformity of style, and by including glossaries, review questions, case studies, and links to further resources, the text has sufficient range to perform as the core resource for a semester course. Students who cover the material in the book will be conversant in the language and concepts of sustainability, and will be equipped for further study in sustainable planning, policy, economics, climate, ecology, infrastructure, and more. Furthermore, the modular design allows individual chapters and sections to be easily appropriated without the purchase of a whole new text. This allows educators to easily bring sustainability concepts, references, and case studies into their area of study. This appropriation works particularly well as the text is free downloadable to anyone who wishes to use it. Furthermore, readers are encouraged to work with the text. Provided there is attribution to the source, use
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Contextualised open educational practices: Towards student agency and self-directed learning
Jako Olivier; Charlene du Toit-Brits; Byron Bunt; Amit Dhakulkar · AOSIS Publishing · 2022
This book covers original research on the implementation of open educational practices through the use of open educational resources at the university level. The emphasis on open education in this book is on contextualising resources, supporting student agency and fostering self-directed learning specifically within a South African milieu. The envisaged chapters cover conceptual and review research and empirical work focussing on open educational practices and the use of renewable assessments. The work starts off with an overview of an institutional-wide open education project that prompted the research followed by research on open education in terms of various modules in the health science, music education, law, philosophy, dietetics, anthropology, French language learning, journalism and political science. There is a clear gap in the literature on open education in terms of open educational practices, specifically in terms of contextualising resources, supporting student agency and fostering self-directed learning in a South African context. Despite the existence of some general works on open education in terms of policy, social justice and open textbooks, this book will be unique in exploring the intersections of openness, specifically with contextualisation, student agency and self-directedness.
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Humanizing Science through STEAM Challenges
EunJin Bahng; John Hauptman · Iowa State University · 2021
In a science methods course during the Covid19 pandemic, 51 future elementary teachers authored children's books and then read them aloud as part of a giving-back, service-learning activity as Open Educational Resources (OER). The 51 children's stories and their accompanying audiobooks aim to integrate STEM and the Arts to humanize science and scientific inquiry with history and philosophy of science in mind.
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Elementary Earth and Space Science Methods
Ted Neal · University of Iowa · 2019
We created this book to help you as both a college student and a future teacher. Dr. Ted Neal asked us to help him create this resource from the perspective of students who have taken Science Methods II–what would we want in a textbook for this course? With this in mind, we have gathered and created resources to help you better understand science and feel confident in your abilities as a future teacher. This book is divided into five parts which align with the Science Methods II course: Physics Space Science Earth Science Climate Science Course Materials and Pedagogy Within each part, the material is broken down into smaller chapters. Here you will find written explanations, video links, glossary terms, key takeaways, and practice quizzes to help you understand the material. This book is designed to be a flexible resource; use it as much or as little as you need throughout the course.
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Educational Psychology
Kelvin Seifert; Rosemary Sutton · University of Manitoba · 2009
Chapters in the text can be assigned either from beginning to end, as with a conventional printed book, or they can be selected in some other sequence to meet the needs of particular students or classes. In general the first half of the book focuses on broader questions and principles taken from psychology per se, and the second half focuses on somewhat more practical issues of teaching. But the division between “theory” and “practice” is only approximate; all parts of the book draw on research, theory, and practical wisdom wherever appropriate. Chapter 2 is about learning theory, and Chapter 3 is about development; but as we point out, these topics overlap with each other as well as with the concerns of daily teaching. Chapter 4 is about several forms of student diversity (what might be called individual differences in another context), and Chapter 5 is about one form of diversity that has become prominent in schools recently—students with disabilities. Chapter 6 is about motivation, a topic that is heavily studied by psychological researchers, but that also poses perennial challenges to classroom teachers. Following these somewhat more basic psychological chapters, we turn to several lasting challenges of classroom life—challenges that seem to be an intrinsic part of the job. Chapter 7 offers ideas about classroom management; Chapter 8, ideas about communicating with students; Chapter 9, about ways to assist students' complex forms of thinking; and Chapter 10, about planning instruction systematically. The book closes with two chapters about assessment of learning: Chapter 11 focuses on teachers' own efforts to assess students, and Chapter 12 focuses on standardized measures of assessment. We have organized material and features in ways that we hope will allow for a variety of students, instructors, and institutions to use the book. For instructors and courses that seek a strong focus on research and the research process, for example, we have included an extra “ch
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Contemporary Mathematics
Donna Kirk; Barbara Boschmans; Brian Beaudrie; Matthew Cathey · OpenStax, Rice University
Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.
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ECED21203 Curriculum Development in Early Childhood Education
LueCrecy Ragan & Emily Harris · Arkansas State University-Beebe
Có trong mục lục: 13: Creative Arts Curriculum · 13.01: Creative Arts Sections · 13.1.02: Guiding Principles of Creative Arts
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SMC: Social Sciences Statistics
Bettina Spencer · Saint Mary's College
Có trong mục lục: 4.08: Bar Charts
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Support Course for Elementary Statistics
Larry Green · Lake Tahoe Community College
Có trong mục lục: 11.2.04: Using Fractions Decimals and Percents to Describe Charts
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Introduction to Botany
Alexey Shipunov · Minot State University
Có trong mục lục: 2.04: Other Parts of the Cell