This is a book for teachers, by teachers, from elementary school to university level classrooms. It is about the use of creative instructional strategies in K-12 classroom settings, and the transformations the teachers made in their journeys from being traditional practitioners to “becoming pedagogical” in their approaches to teaching and learning across the curriculum. Over twenty teachers conducted research in their classrooms on the implementation of creative strategies, tactics, graphics organizers, and visual journals in teaching and learning. They have written their inquiries in a narrative style, informed by various forms of arts based educational research. Their research is approachable and usable by other teachers who are interested in becoming reflective-reflexive practitioners. Many of the strategies, tactics, and graphics organizers are described by Barrie Bennett in his widely used textbook, Beyond Monet: The Artful Science of Instructional Intelligence. However, through their journeys of becoming teacher-learner-researchers, many discovered numerous, creative variations of Bennett’s work as it was implemented in their classrooms. While there are many professional books that provide ideas on collaborative learning and creative teaching approaches, there is very little published research on the efficacy of these concepts in the K-12 classroom. These inquiries provide practical insights into how inspired teachers can conduct research on improving their own practice as well as on greatly improving their students’ learning. Thus, this book has widespread interest for teachers and administrators who seek to implement systemic changes in the ways that teachers teach, and children learn, in the 21st century.

The challenge, in twentieth-century music, to the normative status of triadic tonality is one of the most far-reaching and extreme revolutions that the history of music has known. In his classic work, Twelve-Tone Tonality, George Perle argues that the seemingly disparate styles of post-triadic music in fact share common structural elements. According to Perle, these elements collectively imply a new tonality as "natural" and coherent as the major-minor tonality that was the basis of a common musical language in the past. His book describes the foundational assumptions of this post-diatonic tonality and illustrates its compositional functions with numerous musical examples. The second edition of Twelve-Tone Tonality is enlarged by eleven new chapters. Some of these are "postscripts" to earlier chapters, clarifying, elucidating, and expanding upon concepts discussed in the original edition. Others discuss new developments in the theory and practice of twelve-tone tonality, including voice-leading implications of the system and dissonance treatment. Errors discovered in the original edition have been corrected. - Jacket flap.

This volume is a journey through musics that emerged at the turn of the 20th Century and were neither exclusively tonal nor serial. They fall between these labels as they are metatonal, being both with and after tonality, in their reconstruction of external codes and gestures of Common Practice music in new and idiosyncratic ways. The composers and works considered are approached from analytic, cultural, creative, and performance angles by musicologists, performers and composers to enable a deeper reading of these musics by scholars and students alike. Works include those by Frank Bridge, Ferruccio Busoni, Mikalojus Konstantinas Čiurlionis, Rebecca Clarke, John Foulds, Percy Grainger, Mary Howe, Carl Nielsen, Franz Schreker, Erwin Schulhoff, Cyril Scott and Alexander Scriabin. In the process of engaging with this book the reader, will find an enrichment to their own understanding of music at the turn of the 20th Century.

A fascinating interdisciplinary approach to how everyday Western music works, and why the tones, melodies, and chords combine as they do. Despite the cultural diversity of our globalized world, most Western music is still structured around major and minor scales and chords. Countless thinkers and scientists of the past have struggled to explain the nature and origin of musical structures. In Psychoacoustic Foundations of Major-Minor Tonality, music psychologist Richard Parncutt offers a fresh take, combining music theory—Rameau’s fundamental bass, Riemann’s harmonic function, Schenker’s hierarchic analysis, Forte’s pitch-class set theory—with psychology—Bregman’s auditory scene, Terhardt’s virtual pitch, Krumhansl’s tonal hierarchy. Drawing on statistical analyses of notated music corpora, Parncutt charts a middle path between cultural relativism and scientific positivism to bring music theory into meaningful discourse with empirical research. Our musical subjectivity, Parncutt explains, depends on our past musical experience and hence on music history and its social contexts. It also depends on physical sound properties, as investigated in psychoacoustics with auditory experiments and mathematical models. Parncutt’s evidence-based theory of major-minor tonality draws on his interdisciplinary background to present a theory that is comprehensive, creative, and critical. Examining concepts of interval, consonance, chord root, leading tone, harmonic progression, and modulation, he asks: Why are some scale tones and chord progressions more common than others? What aspects of major-minor tonality are based on human biology or general perceptual principles? What aspects are culturally arbitrary? And what about colonial history? Original and provocative, Psychoacoustic Foundations of Major-Minor Tonality promises to become a foundational text in both music theory and music cognition.

This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.

This book presents the results of a series of literacy experiments in ten Niger-Congo languages, representing four language families and spanning five countries. It asks the research question, "To what extent does full tone marking contribute to oral reading fluency, comprehension and writing accuracy, and does that contribution vary from language to language?". One of the main findings is that the ethno-literacy profile of the language community and the social profile of the individual are stronger predictors of reading and writing performance than are the linguistic and orthographic profiles of the language. Our data also suggest that full tone marking may be more beneficial for less educated readers and those with less experience of L1 literacy. The book will bring practical help to linguists and literacy specialists in Africa and beyond who are helping to develop orthographies for tone languages. It will also be of interest to cognitive psychologists exploring the reading process, and researchers investigating writing systems.

Stories of Tonality in the Age of François-Joseph Fétis explores the concept of musical tonality through the writings of the Belgian musicologist François-Joseph Fétis (1784–1867), who was singularly responsible for theorizing and popularizing the term in the nineteenth century. Thomas Christensen weaves a rich story in which tonality emerges as a theoretical construct born of anxiety and alterity for Europeans during this time as they learned more about “other” musics and alternative tonal systems. Tonality became a central vortex in which French musicians thought—and argued—about a variety of musical repertoires, be they contemporary European musics of the stage, concert hall, or church, folk songs from the provinces, microtonal scale systems of Arabic and Indian music, or the medieval and Renaissance music whose notational traces were just beginning to be deciphered by scholars. Fétis’s influential writings offer insight into how tonality ingrained itself within nineteenth-century music discourse, and why it has continued to resonate with uncanny prescience throughout the musical upheavals of the twentieth and twenty-first centuries.

This encyclopaedic book proposes a sweeping reformulation of the basic concepts of Western music theory, revealing simple structures underlying a wide range of practices from the Renaissance to contemporary pop. Its core innovation is a collection of simple geometrical models describing the implicit knowledge governing a broad range of music-making, much as the theory of grammar describes principles that tacitly guide our speaking and writing. Each of its central chapters re-examines a basic music-theoretical concept such as voice leading, repetition, nonharmonic tones, the origins of tonal harmony, the grammar of tonal harmony, modulation, and melody. These are flanked by two largely analytical chapters on rock harmony and Beethoven. Wide-ranging in scope, and with almost 700 musical examples from the Middle Ages to the present day, Tonality: An Owner's Manual weaves philosophy, mathematics, statistics, and computational analysis into a new and truly twenty-first century theory of music.