The Johns Hopkins University Press
vydavateľstvo
From Music to Mathematics - Exploring the Connections
Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics. Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational.Topics discussed in the book include Rhythm Introductory music theory The science of sound Tuning and temperament Symmetry in music The Bartok controversy Change ringing Twelve-tone music Mathematical modern music The Hemachandra-Fibonacci numbers and the golden ratio Magic squares Phase shifting Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.
Teaching with AI, 2nd edition
Now completely revised! An essential guide on how AI is revolutionizing the future of learning and how educators can adapt to this new era of human thinking.
Artificial Intelligence (AI) is revolutionizing the way we learn, work, and think. Its integration into classrooms and workplaces is already underway, transforming ideas about creativity, authorship, and education. In this practical guide, teachers will discover how to harness and manage AI as a powerful teaching tool. José Antonio Bowen and C. Edward Watson present emerging and powerful research on the seismic changes AI is already creating in schools and the workplace, providing invaluable insights into what AI can accomplish in the classroom and beyond.
This second edition provides essential updates to new classes of tools-such as reasoning models, deep research, and agents-as well as many new assignment ideas and revised prompt ideas throughout. The authors expand the section on simulations and role-playing and include a brand-new section on customized bots. A new chapter on ethics and environmental concerns rounds out the collection. By learning how to use new AI tools and resources, educators will gain the confidence to navigate the challenges and seize the opportunities presented by AI. From interactive learning techniques to advanced assignment and assessment strategies, this comprehensive guide offers practical suggestions for integrating AI effectively into teaching and learning environments. Bowen and Watson tackle crucial questions related to academic integrity, cheating, and other emerging issues.
In the age of AI, critical thinking skills, information literacy, and a liberal arts education are more important than ever. As AI continues to reshape the nature of work and human thinking, educators can equip students with the skills they need to thrive in a rapidly evolving world. This indispensable guide, a companion text to Joan Monahan Watson's book for K-12 instructors Learning with AI, leads educators through the uncharted territory of AI-powered education and the future of teaching and learning.
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34,99 €