Digital library
Textbooks, references and open learning resources.
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Notes on Diffy Qs: Differential Equations for Engineers
Jirí Lebl · Jirí Lebl · 2014
A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence. This free online book (e-book in webspeak) should be usable as a stand-alone textbook or as a companion to a course using another book such as Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Modeling or Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (section correspondence to these two is given). I developed and used these notes to teach Math 286/285 at the University of Illinois at Urbana-Champaign Sample Dirichlet problem solution (one is a 4-day-a-week, the other a 3-day-a-week semester-long course). I have also taught Math 20D at University of California, San Diego with these notes (a 3-day-a-week quarter-long course). There is enough material to run a 2-quarter course, and even perhaps a two semester course depending on lecturer speed.
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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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Making Open Educational Resources with and for PreK12: A Collaboration Toolkit for Higher Education
Anita Walz; Julee Farley · Virginia Tech Libraries · 2023
Higher education and PreK12 are vastly different domains. As such, well-intended, collaborative efforts between higher education and PreK12 do not always result in creation of useful and reusable learning materials for PreK12 classrooms or effective, productive partnerships. Making Open Educational Resources with and for PreK12: A Collaboration Toolkit for Higher Education is a toolkit of instructional resources designed to support higher education personnel who wish to improve or build strong and generative collaborations between higher education and PreK12 educators. The toolkit aims to expand use and re-usability of PreK12-centric learning resources through informed practices regarding copyright, open-licensing, and accessibility and includes a variety of resources: videos, presentations, transcripts, activities, guides, assignments, and assessment tools.
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The Academic Language of Mathematics
Costas Loizou; Deak Kirkham; Shuwei Chen · University of Leeds Open Books · 2026
The Academic Language of Mathematics is an eight-chapter, open-access textbook that helps any student studying mathematics as part of their degree to understand mathematical terminology and communicate mathematical topics clearly in English. Developed through collaboration between a mathematics lecturer at the University of Leeds, an English for Academic Purposes lecturer at the University of Leeds and a mathematics lecturer at Southwest Jiaotong University, it integrates core mathematical content with systematic work on vocabulary, structures and text types, with particular support for students in English‑medium instruction and international STEM programmes.
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The Role of Equity and Diversity in Early Childhood Education
Krischa Esquivel; Emily Elam; Jennifer Paris; Maricela Tafoya · College of the Canyons · 2020
Guided by cultural beliefs and principles, families select experiences, convey attitudes, and impart knowledge to their children to prepare them for adulthood. Accordingly, it is important for program staff to learn to collaborate effectively with families. To develop a partnership and to tap into the family as a primary resource, early childhood educators must reach out to, learn about, and develop strong partnerships with families. This process requires openness to learning and an effort to understand the individuality of each family and the diversity of the families from which the children come.
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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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Teaching Math for Emergent Bilinguals: Building on Culture, Language, and Identity
Ji-Yeong I; Ricardo Martinez · Iowa State University · 2020
This book is designed for pre-service/in-service teachers and others who will work or work with K–12 students who have linguistically and culturally diverse backgrounds, especially students of other languages (English language learners/Emergent bilingual/multilingual). The core concept of this course is helping teachers understand the needs of various Emergent Bilinguals (a.k.a. English language learners (ELLs)/English Learners (ELs), learn to use their language and culture as a resource in mathematics classrooms and implement research-based instructional strategies that are effective to teach mathematics for Emergent Bilinguals.
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Knowing Home: Braiding Indigenous Science with Western Science
Gloria Snively ; Wanosts’a7 Williams · University of Victoria · 2016
Knowing Home attempts to capture the creative vision of Indigenous scientific knowledge and technology that is derived from an ecology of a home place. The traditional wisdom component of Indigenous Science—the values and ways of decision-making—assists humans in their relationship with each other, the land and water, and all of creation. Indigenous perspectives have the potential to give insight and guidance to the kind of environmental ethics and deep understanding that we must gain as we attempt to solve the increasingly complex problems of the 21st century. Braiding Indigenous Science and Western Science is a metaphor used to establish a particular relationship. Linked by braiding, there is a certain reciprocity. Each strand remains a separate entity, but all strands come together to form the whole. When we braid Indigenous Science with Western Science we acknowledge that both ways of knowing are legitimate forms of knowledge. The book provides a window into the vast storehouse of innovations and technologies of the Indigenous peoples who live in Northwestern North America. It is our hope that the Indigenous Science examples, research and curriculum models will inspire deep reflection regarding the under-representation of Aboriginal students in the sciences. It is intended that the rich examples and cases, combined with the resources listed in the appendices, will enable teachers and students to explore Indigenous Science examples in the classroom, and in addition, support the development of curriculum projects in home places.
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Exploring Physical Phenomena
Emily van Zee; Elizabeth Gire · Oregon State University · 2019
This course is intended for prospective and practicing elementary and middle school teachers. By exploring physical phenomena in class, you will learn science in ways in which you are expected to teach science in schools or in informal settings such as afterschool programs, youth group meetings, and museum workshops. This course also is appropriate for general science students and others interested in exploring some of the physical phenomena underlying global climate change. The theme for the course is: What happens when light from the Sun shines on the Earth? The emphasis is on questioning, predicting, exploring, observing, discussing, reading, and writing about what one thinks and why. This first unit focuses on exploring the nature of light phenomena. Among the unit’s many goals are two primary ones: to learn about light phenomena and to learn about ways to foster science learning for yourself and others such as your family, friends, and students.
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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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Statistics
Barbara Illowsky; Susan Dean; Daniel Birmajer; Bryan Blount · OpenStax, Rice University
This Statistics resource was developed under the guidance and support of experienced high school teachers and subject matter experts. It is presented here in multiple formats: PDF, online, and low-cost print. Statistics offers instruction in grade-level appropriate concepts and skills in a logical, engaging progression that begins with sampling and data and covers topics such as probability, random variables, the normal distribution, and hypothesis testing. This content was developed with students in mind, incorporating statistics labs, worked exercises, and additional opportunities for assessment that incorporate real-world statistical applications. For instructors, resources are available to support the implementation of the Statistics textbook, including a Getting Started Guide, direct instruction presentations, and a solutions manual.
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Psychology 2e
Rose M. Spielman; William J. Jenkins; Marilyn D. Lovett; Mara Aruguete · OpenStax, Rice University
Psychology 2e is designed to meet scope and sequence requirements for the single-semester introduction to psychology course. The book offers a comprehensive treatment of core concepts, grounded in both classic studies and current and emerging research. The text also includes coverage of the DSM-5 in examinations of psychological disorders. Psychology incorporates discussions that reflect the diversity within the discipline, as well as the diversity of cultures and communities across the globe. The second edition contains detailed updates to address comments and suggestions from users. Significant improvements and additions were made in the areas of research currency, diversity and representation, and the relevance and recency of the examples. Many concepts were expanded or clarified, particularly through the judicious addition of detail and further explanation where necessary. Finally, the authors addressed the replication issues in the psychology discipline, both in the research chapter and where appropriate throughout the book. Changes made in Psychology 2e are described in the preface to help instructors transition to the second edition. The first edition of Psychology by OpenStax is available in web view here.
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Organic Chemistry: A Tenth Edition
John McMurry, Professor Emeritus · OpenStax, Rice University
John McMurry's Organic Chemistry is renowned as the most clearly written book available for organic chemistry. In John McMurry's words, "I wrote this book because I love writing. I get great pleasure and satisfaction from taking a complicated subject, turning it around until I see it clearly from a new angle, and then explaining it in simple words." In Organic Chemistry: A Tenth Edition from OpenStax, McMurry continues this tradition while updating scientific discoveries, highlighting new applications, scrutinizing every piece of art, and providing example problems to assist students. Organic Chemistry: A Tenth Edition continues to meet the scope and sequence of a two-semester organic chemistry course that follows a functional group approach. A highlighted list of changes along with a detailed table of contents and ancillary descriptions can be found on the Instructor and Student resources sections of this page. John McMurry decided to publish Organic Chemistry: A Tenth Edition under an open license as a tribute to his son, Peter McMurry, who passed away from cystic fibrosis in December 2019. Please click here to learn more about Peter's legacy and to support the fight against cystic fibrosis.
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Microbiology
Nina Parker; Mark Schneegurt; Anh-Hue Thi Tu; Summer Allen · OpenStax, Rice University
Microbiology covers the scope and sequence requirements for a single-semester microbiology course for non-majors. The book presents the core concepts of microbiology with a focus on applications for careers in allied health. The pedagogical features of the text make the material interesting and accessible while maintaining the career-application focus and scientific rigor inherent in the subject matter. Microbiology’s art program enhances students’ understanding of concepts through clear and effective illustrations, diagrams, and photographs. Microbiology is produced through a collaborative publishing agreement between OpenStax and the American Society for Microbiology Press. The book aligns with the curriculum guidelines of the American Society for Microbiology.
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Lifespan Development
Diana Riser; Rose Spielman; David Biek; Alisa Beyer · OpenStax, Rice University
Lifespan Development aligns to the topics and objectives of most introductory developmental psychology courses taught across departments. Grounded in foundational theories and scientific research, the text teaches students about core aspects of human development—physical, cognitive, social, emotional—across the lifespan. A primary goal of the book is to incorporate content, scholarship, and activities that explore a variety of perspectives that encourage all students to feel seen and included. Lifespan Development strives to openly address complex topics with scholarly responsibility and an effort to increase equity and inclusion in the research presented, as well as to foster student engagement in the classroom through relevant examples and applications. Focused on driving meaningful and memorable learning experiences, the narrative places concepts in contexts that give students the means to understand human development and how that knowledge can be applied to and improve their own lives and the lives of others.
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Introduction to Political Science
Mark Carl Rom; Masaki Hidaka; Rachel Bzostek Walker; Emilia B. Carvalho · OpenStax, Rice University
Designed to meet the scope and sequence of your course, OpenStax Introduction to Political Science provides a strong foundation in global political systems, exploring how and why political realities unfold. Rich with examples of individual and national social action, this text emphasizes students’ role in the political sphere and equips them to be active and informed participants in civil society. Learn more about what this free, openly-licensed textbook has to offer you and your students.
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Introduction to Behavioral Neuroscience
Elizabeth D. Kirby; Melissa J. Glenn; Noah J. Sandstrom; Christina L. Williams · OpenStax, Rice University
Introduction to Behavioral Neuroscience aligns to the topics and objectives of introductory behavioral neuroscience courses taught in psychology, biology, neuroscience, and similar departments. This offering is intended for undergraduates with no presumed college-level science coursework, and presents the foundational principles of brain-behavior-environment interactions. In Introduction to Behavioral Neuroscience, students will begin to understand how the physiology of the nervous system and the environment dictate our movements, thoughts and feelings. Students will be challenged to think about real neuroscience experiments, appreciate how neuroscience knowledge evolves over time, and consider open questions in the field. They will also be invited to learn about the people behind the science, such as through interview videos and researcher profiles. The development of this material was supported by the U.S. National Science Foundation under IOS-2035041 to Elizabeth Kirby. The opinions, descriptions, recommendations, and findings are those of the contributors, and do not necessarily reflect the views of NSF. An Affordable Learning Exchange grant to Elizabeth Kirby from the Ohio State University also supported development of this material.
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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.