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The Distributed Classroom
A vision of the future of education in which the classroom experience is distributed across space and time without compromising learning. What if there were a model for learning in which the classroom experience was distributed across space and time--and students could still have the benefits of the traditional classroom, even if they can't be present physically or learn synchronously? In this book, two experts in online learning envision a future in which education from kindergarten through graduate school need not be tethered to a single physical classroom. The distributed classroom would neither sacrifice students' social learning experience nor require massive development resources. It g...
Adventures in Group Theory
David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.
A Teacher’s Guide to Conversational AI
A Teacher’s Guide to Conversational AI explores the practical role that language-based artificial intelligence tools play in classroom teaching, learning experiences, and student assessment. Today’s educators are well aware that conversational and generative AI—chatbots, intelligent tutoring systems, large language models, and more—represent a complex new factor in teaching and learning. This introductory primer offers comprehensive, novice-friendly guidance into the challenges and opportunities of incorporating AI into K-12 schools and college classes in ways that are appropriate, nourishing to students, and outcomes-driven. Opening with an informative overview of the foundational p...
Teaching at Scale
Teaching at Scale explores the characteristics and parameters of large-scale online learning by identifying, in its perceived drawbacks, a wealth of educational opportunities in disguise. Scalable learning platforms have exploded in popularity over recent years, with MOOCS (massive open online courses), online degree programs, informal learning communities, and alternative credentials all drawing significant enrollments. But, as many educators are asking, are the challenges to delivering education at scale too great and the compromises too many? This book guides instructors to leverage their complex responsibilities—open-ended assessments at scale, individuated feedback to students, academic integrity in less controlled environments, and more—into significant assets. Informed by real-world institutional experience as well as key research in cognitive science and the learning sciences, each chapter provides practical strategies for educators and administrators seeking to solve problems and fulfill the high-quality, broad-access potential of large-scale instruction for lifelong learners.
Adventures in Graph Theory
This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory cover...
American Popular Music
This text provides an overview of the four major areas of American contemporary music: jazz, rock, country, and musical theater. Each genre is approached chronologically with the emphasis on the socio-cultural aspects of the music. Readers will appreciate Joyner's engaging writing style and come away with the fundamental skills needed to listen critically to a variety of popular music styles.
Introduction to Differential Equations Using Sage
Differential equations can be taught using Sage as an inventive new approach. David Joyner and Marshall Hampton's lucid textbook explains differential equations using the free and open-source mathematical software Sage. Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice. Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently. It's a creative and forward-thinking approach to math instruction. Topics include: • First-Order Differential Equations • Incorporation of Newtonian Mechanics • Second-Order Differential Equations • The Annihilator Method • Using Linear Algebra with Differential Equations • Nonlinear Systems • Partial Differential Equations • Romeo and Juliet
Boys' Life
Boys' Life is the official youth magazine for the Boy Scouts of America. Published since 1911, it contains a proven mix of news, nature, sports, history, fiction, science, comics, and Scouting.
Coding Theory and Cryptography
These are the proceedings of the Conference on Coding Theory, Cryptography, and Number Theory held at the U. S. Naval Academy during October 25-26, 1998. This book concerns elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory. Some of these papers are expository, whereas others are the result of original research. The emphasis is on geometric Goppa codes (Shokrollahi, Shokranian-Joyner), but there is also a paper on codes arising from combinatorial constructions (Michael). There are both, historical and mathematical papers on cryptography. Several of the contributions on cryptography describe the work done by the British and their allies during World War II to crack the German and Japanese ciphers (Hamer, Hilton, Tutte, Weierud, Urling). Some mathematical aspects of the Enigma rotor machine (Sherman) and more recent research on quantum cryptography (Lomonoco) are described. There are two papers concerned with the RSA cryptosystem and related number-theoretic issues (Wardlaw, Cosgrave).
Selected Unsolved Problems in Coding Theory
Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sage—a free open-source mathematics software system—to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.
