Includes bibliographical references (p. [345]-349) and index.
Contents:
Beginnings. Introduction : where do our questions come from? Where do our answers go? ; The first invented notations : designing the class piece ; Children's drawings of simple rhythms : a typology of children's invented notations ; The typology revisited -- Developing the musical mind. Introduction : what develops in music development? ; Restructuring conceptual intuitions through invented notations : from path making to map making ; Changing musical perception through reflective conversation ; Cognitive issues in the development of musically gifted children ; Developing musical structures : going beyond the simples -- Designing educational environments. Introduction : designing educational environments ; Developing a musical ear : a new experiment ; Action knowledge and symbolic knowledge : the computer as mediator ; The collaborative invention of meaning : a short history of evolving ideas ; Noting time : the Math, Music, and Drumming Project -- Computer as sandbox. Turning music theory on its ear : Do we hear what we see? Do we see what we say? ; The development of intuitive musical understanding : a natural experiment ; Music as embodied mathematics : a study of a mutually informing affinity -- Summing up. Engaging complexity : three hearing of a Beethoven Sonata movement ; Recapitulation and coda.
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