This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting 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, especially those who are interested in finding some current unsolved problems. Familiarity with concepts in algebra, number theory, and modular forms is assumed. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

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.

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.

This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting 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, especially those who are interested in finding some current unsolved problems. Familiarity with concepts in algebra, number theory, and modular forms is assumed. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

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.

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.