Research Trends in Mathematics Teacher Education

Author: Jane-Jane Lo
Publisher: Springer
ISBN: 3319025627
Format: PDF, ePub
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Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.

Learning and Cognition

Author: Vibeke Grøver Aukrust
Publisher: Elsevier
ISBN: 0123814391
Format: PDF, ePub, Mobi
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This collection of 58 articles from the recently-published third edition of the INTERNATIONAL ENCYCLOPEDIA OF EDUCATION focus on learning, memory, attention, problem solving, concept formation, and language. Learning and cognition is the foundation of cognitive psychology and encompasses many topics including attention, memory, categorization, etc. Most books in the area either focus on one subtopic in-depth (e.g. an entire book on memory) or cover the gamut of subjects in a series of long, technical handbook-like chapters. This concise reference offers researchers and professors teaching in the area a new take on the material that is comprehensive in breadth, but lighter in depth - focusing on main findings, established facts, and minimizing the amount of space taken up by large, multi-volume references. An introduction to a complex field via summaries of main topics in this discipline Contains contributions from the foremost international researchers in the field Makes content available to individual cognitive psychology researchers

Artificial Intelligence in Education

Author: R. Luckin
Publisher: IOS Press
ISBN: 1607502585
Format: PDF
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The nature of technology has changed since Artificial Intelligence in Education (AIED) was conceptualised as a research community and Interactive Learning Environments were initially developed. Technology is smaller, more mobile, networked, pervasive and often ubiquitous as well as being provided by the standard desktop PC. This creates the potential for technology supported learning wherever and whenever learners need and want it. However, in order to take advantage of this potential for greater flexibility we need to understand and model learners and the contexts with which they interact in a manner that enables us to design, deploy and evaluate technology to most effectively support learning across multiple locations, subjects and times. The AIED community has much to contribute to this endeavour. This publication contains papers, posters and tutorials from the 2007 Artificial Intelligence in Education conference in Los Angeles, CA, USA.

Flow Das Geheimnis des Gl cks

Author: Mihaly Csikszentmihalyi
Publisher: Klett-Cotta
ISBN: 3608110038
Format: PDF, Kindle
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Glück kommt nicht von außen, Glück ist das, was wir aus unseren Erfahrungen machen. Dieses Buch zeigt, dass Menschen dadurch, dass sie ihr eigenes Erleben kontrollieren, die Kontrolle über ihre Lebensqualität selbst in die eigene Hand nehmen. Auf diese Weise kommen sie dem Glück immer näher. »Csikszentmihalyi beweist, was Philosophen schon seit Jahrhunderten sagen: Der Weg zum Glücklichsein liegt nicht in hohler Vergnügungssucht, sondern in sinnvoller Herausforderung.« The New York Times Wer das Glück will, muss das Chaos im eigenen Kopf beherrschen. Wer frei sein will, muss nur seine Ziele kennen. Das Buch fasst jahrzehntelange Forschung über die positiven Aspekte menschlicher Erfahrungen zusammen: Freude, Kreativität und den Prozess vollständigen Einsseins mit dem Leben, den der Autor FLOW nennt. Glück ist nichts, was man mit Geld kaufen könnte. Glück ist flow. Jeder hat dieses Gefühl schon erlebt: über sich selbst zu verfügen, im Einklang mit sich und der Welt zu sein und sein Schicksal in die eigene Hand nehmen zu können. Bei diesen seltenen Gelegenheiten spürt man ein Gefühl von Hochstimmung, von tiefer Freude, das lange anhält und zu einem Maßstab dafür wird, wie das Leben aussehen sollte. »FLOW« ist ein Buch der praktischen Lebensweisheit. Zwar gibt es keinen Königsweg zum flow, auch erfordert die Einzigartigkeit jedes Menschen einen individuellen Zugang; aber wer versteht, was flow ist, dem wird es möglich, das eigene Leben zu verändern. Diese Veränderungen hängen nicht so sehr von äußeren Ereignissen ab, sondern eher davon, wie wir sie deuten. - Glück ist ein Zustand, für den man bereit sein muss, den jeder einzelne kultivieren und für sich verteidigen muss. Menschen, die lernen, ihre innere Erfahrung zu kontrollieren, können ihre Lebensqualität bestimmen; und das kommt dem, was wir gewöhnlich Glück nennen, wohl am allernächsten. »"Flow. Das Geheimnis des Glücks" zeigt, dass Glück nicht vom Himmel fällt. Die Fähigkeit zum Glücklichsein und FLOW zu empfinden, steckt in jedem. Mit Konzentration auf das, was man tut, kann man den Zustand des FLOW erreichen. Ein tolles Buch, das Lust auf Leistung macht.« Wolfgang Joop Flow bezeichnet einen Zustand des Glücksgefühls, in den Menschen geraten, wenn sie gänzlich in einer Beschäftigung »aufgehen«. Entgegen ersten Erwartungen erreichen wir diesen Zustand nahezu euphorischer Stimmung meistens nicht beim Nichtstun oder im Urlaub, sondern wenn wir uns intensiv der Arbeit oder einer schwierigen Aufgabe widmen. Laut The Independent gehört Mihaly Csikszentmihalys »Flow. Das Geheimnis des Glücks« zu den 33 Büchern, die man gelesen haben muss, bevor man 30 wird.

The origins of mathematical knowledge in childhood

Author: Catherine Sophian
Publisher: Lawrence Erlbaum
ISBN: 9780805857580
Format: PDF
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This book examines the origins and development of children’s mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children’s developing mathematical knowledge in the light of research: *on children's counting; *on their reasoning about continuous quantities such as length and area; *on the development of the concept of unit; *on additive and multiplicative reasoning; and *on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.