Notational Knowledge

Notational Knowledge PDF Author:
Publisher: BRILL
ISBN: 9087903189
Category : Education
Languages : en
Pages : 285

Book Description
he authors, all established researchers, present first hand research in the domain of notational knowledge. They reflect on the peculiar features and representational mechanisms of notational systems based on cultural conventions such as musical notation, graphs, writing, numerals and mathematical notation as well as on unique notations that children create in new situations.

Children's Fractional Knowledge

Children's Fractional Knowledge PDF Author: Leslie P. Steffe
Publisher: Springer Science & Business Media
ISBN: 144190591X
Category : Education
Languages : en
Pages : 379

Book Description
Children’s Fractional Knowledge elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to relate parts to a whole, to produce a fraction as a multiple of a unit part, to transform a fraction into a commensurate fraction, or to combine two fractions multiplicatively or additively. These case studies provide a singular journey into children’s mathematics experience, which often varies greatly from that of adults. Moreover, the authors’ descriptive terms reflect children’s quantitative operations, as opposed to adult mathematical phrases rooted in concepts that do not reflect—and which in the classroom may even suppress—youngsters’ learning experiences. Highlights of the coverage: Toward a formulation of a mathematics of living instead of being Operations that produce numerical counting schemes Case studies: children’s part-whole, partitive, iterative, and other fraction schemes Using the generalized number sequence to produce fraction schemes Redefining school mathematics This fresh perspective is of immediate importance to researchers in mathematics education. With the up-close lens onto mathematical development found in Children’s Fractional Knowledge, readers can work toward creating more effective methods for improving young learners’ quantitative reasoning skills.

The Garland Encyclopedia of World Music

The Garland Encyclopedia of World Music PDF Author: Ruth M. Stone
Publisher: Routledge
ISBN: 1351544357
Category : Music
Languages : en
Pages : 868

Book Description
Explores key themes in African music that have emerged in recent years-a subject usually neglected in country-by-country coverage emphasizes the contexts of musical performance-unlike studies that offer static interpretations isolated from other performing traditions presents the fresh insights and analyses of musicologists and anthropologists of diverse national origins-African, Asian, European, and American Charts the flow and influence of music. The Encyclopedia also charts the musical interchanges that followed the movement of people and ideas across the continent, including: cross-regional musical influences throughout Africa * Islam and its effect on African music * spread of guitar music * Kru mariners of Liberia * Latin American influences on African music * musical interchanges in local contexts * crossovers between popular and traditional practices. Audio CD included. Also includes nine maps and 96 music examples.

Teaching, Learning, and Visual Literacy

Teaching, Learning, and Visual Literacy PDF Author: Billie Eilam
Publisher: Cambridge University Press
ISBN: 0521119820
Category : Education
Languages : en
Pages : 347

Book Description
This book examines the importance of visual literacy education, offering strategies for improving the visual analytic abilities of teachers and students.

Discovering the Musical Mind

Discovering the Musical Mind PDF Author: Jeanne Bamberger
Publisher: Oxford University Press, USA
ISBN: 0199589836
Category : Education
Languages : en
Pages : 374

Book Description
Following her distinguished earlier career as a concert pianist and later as a music theorist, Jeanne Bamberger conducted countless case studies analysing musical development and creativity within the classroom environment. 'Discovering the musical mind' draws together these classic studies, and offers the chance to revisit and reconsider some of the conclusions she drew at the time.

Developing Deep Knowledge in Middle School Mathematics

Developing Deep Knowledge in Middle School Mathematics PDF Author: Sergei Abramovich
Publisher: Springer Nature
ISBN: 3030685640
Category : Education
Languages : en
Pages : 451

Book Description
This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Representational Systems and Practices as Learning Tools

Representational Systems and Practices as Learning Tools PDF Author:
Publisher: BRILL
ISBN: 9087905289
Category : Education
Languages : en
Pages : 334

Book Description
Learning and teaching complex cultural knowledge calls for meaningful participation in different kinds of symbolic practices, which in turn are supported by a wide range of external representations, as gestures, oral language, graphic representations, writing and many other systems designed to account for properties and relations on some 2- or 3-dimensional objects.

Statistics in Music Education Research

Statistics in Music Education Research PDF Author: Joshua A. Russell
Publisher: Oxford University Press
ISBN: 0190695218
Category : Juvenile Nonfiction
Languages : en
Pages : 353

Book Description
In Statistics in Music Education Research, author Joshua Russell explains the process of using a range of statistical analyses from inception to research design to data entry to final analysis using understandable descriptions and examples from extant music education research. He explores four main aspects of music education research: understanding logical concepts of statistical procedures and their outcomes; critiquing the use of different procedures in extant and developing research; applying the correct statistical model for not only any given dataset, but also the correct logic determining which model to employ; and reporting the results of a given statistical procedure clearly and in a way that provides adequate information for the reader to determine if the data analysis is accurate and interpretable. While it is written predominately for graduate students in music education courses, Statistics in Music Education Research will also help music education researchers and teachers of music educators gain a better understanding of how parametric statistics are employed and interpreted in music education.

Tests and Measurements in Music

Tests and Measurements in Music PDF Author: Jacob Kwalwasser
Publisher: Boston ; New York : C.C. Birchard
ISBN:
Category : Music
Languages : en
Pages : 168

Book Description


Online Education Using Learning Objects

Online Education Using Learning Objects PDF Author: Rory McGreal
Publisher: Taylor & Francis
ISBN: 1134116802
Category : Education
Languages : en
Pages : 389

Book Description
'E-learning is integral to on-site education institutions worldwide, and the rapid explosion of interest in the subject means that this timely, cutting-edge book will be an instant and indispensable resource. Among educators, the development of reusable learning objects made accessible via the internet is ever more important to teaching and learning. This book provides a comprehensive look at a state-of-the-art online education, and presents advice on the creation, adaptation and implementation of learning objects and metadata. Including articles written by some of the leading innovators in the field, this book takes the reader through: designing effective learning objects; creating learning objects; transforming existing content into reusable learning objects; building a metadata management system. This book will be essential reference material for learning technologists, course developers at learning institutions, postgraduate students, teachers and learners in the field of e-learning.'