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  • e-book 
    Teaching in a Digital Age: Guidelines for designing teaching and learning - 2nd Edition

    Teaching in a Digital Age: Guidelines for designing teaching and learning - 2nd Edition

    Teachers, instructors and faculty are facing unprecedented change, with often larger classes, more diverse students, demands from government and employers who want more accountability and the development of graduates who are workforce ready, and above all, we are all having to cope with ever changing technology. To handle change of this nature, teachers and instructors need a base of theory and knowledge that will provide a solid foundation for their teaching, no matter what changes or pressures they face. Although the book contains many practical examples, it is more than a cookbook on how to teach. It addresses the following questions: is the nature of knowledge changing, and how do different views on the nature of knowledge result in different approaches to teaching? what is the science and research that can best help me in my teaching? how do I decide whether my courses should be face-to-face, blended or fully online? what strategies work best when teaching in a technology-rich environment? what methods of teaching are most effective for blended and online classes? how do I make choices among all the available media, whether text, audio, video, computer, or social media, in order to benefit my students and my subject? how do I maintain high quality in my teaching in a rapidly changing learning environment while managing my workload? what are the real possibilities for teaching and learning using MOOCs, OERS, open textbooks? In summary, the book examines the underlying principles that guide effective teaching in an age when everyone, and in particular the students we are teaching, are using technology. A framework and a set of guidelines are suggested for making decisions about your teaching, while understanding that every subject is different, and every teacher and instructor has something unique and special to bring to their teaching. In the end, though, the book isn't really about teachers and instructors, although you are the target group. It's about you helping your students to develop the knowledge and skills they will need in a digital age: not so much digital skills, but the thinking and knowledge that will bring them success. For that to happen, though, your students need you to be on top of your game. This book is your coach.

    Keywords:
    Teaching Educational technology Textbooks
    Resource Type:
    e-book
     
  • e-book 
    Applied Combinatorics

    Applied Combinatorics

    Applied Combinatorics is an open-source textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics. Applied Combinatorics began its life as a set of course notes we developed when Mitch was a TA for a larger than usual section of Tom's MATH 3012: Applied Combinatorics course at Georgia Tech in Spring Semester 2006. Since then, the material has been greatly expanded and exercises have been added. The text has been in use for most MATH 3012 sections at Georgia Tech for several years now. Since the text has been available online for free, it has also been adopted at a number of other institutions for a wide variety of courses. In August 2016, we made the first release of Applied Combinatorics in HTML format, thanks to a conversion of the book's source from LaTeX to MathBook XML. An inexpensive print-on-demand version is also available for purchase. Find out all about ways to get the book. Since Fall 2016, Applied Combinatorics has been on the list of approved open textbooks from the American Institute of Mathematics. Applied Combinatorics is open source and licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC-BY-SA).

    Subjects:
    Mathematics and Statistics
    Keywords:
    Combinatorial analysis Graph theory Textbooks
    Resource Type:
    e-book