Cobb | Learning Mathematics | Buch | 978-0-7923-2823-0 | sack.de

Buch, Englisch, 194 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1030 g

Cobb

Learning Mathematics

Constructivist and Interactionist Theories of Mathematical Development
<em>Nachdrucked from EDUCATIONAL STUDIES IN MATHEMATICS, 26:2-3</em> 1994
ISBN: 978-0-7923-2823-0
Verlag: Springer Netherlands

Constructivist and Interactionist Theories of Mathematical Development

Buch, Englisch, 194 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1030 g

ISBN: 978-0-7923-2823-0
Verlag: Springer Netherlands


The first five contributions to this Special Issue on Theories of Mathematical Learning take a cognitive perspective whereas the sixth, that by Voigt, takes an interactionist perspective. The common theme that links the six articles is the focus on students' inferred experiences as the starting point in the theory-building process. This emphasis on the meanings that objects and events have for students within their experiential realities can be contrasted with approaches in which the goal is to specify cognitive behaviors that yield an input-output match with observed behavior. It is important to note that the term 'experience' as it is used in these articles is not restricted to physical or sensory-motor experience. A perusal of the first five articles indicates that it includes reflective experiences that involve reviewing prior activity and anticipating the results of potential activity. In addition, by emphasizing interaction and communication, Voigt's contribution reminds us that personal experiences do not arise in a vacuum but instead have a social aspect. In taking a cognitive perspective, the first five contributions analyze the pro­ cesses by which students conceptually reorganize their experiential realities and thus construct increasingly sophisticated mathematical ways of knowing. The conceptual constructions addressed by these theorists, ranging as they do from fractions to the Fundamental Theorem of Calculus, indicate that experiential approaches to mathematical cognition are viable at all levels of mathematical development. Although the authors use different theoretical constructs, several additional commonalities can be discerned in their work.
Cobb Learning Mathematics jetzt bestellen!

Zielgruppe


Research


Autoren/Hrsg.


Weitere Infos & Material


Cognitive Play and Mathematical Learning in Computer Microworlds.- Exponential Functions, Rates of Change, and the Multiplicative Unit.- Growth in Mathematical Understanding: How Can We Characterise It and How Can We Represent It?.- The Gains and the Pitfalls of Reification — The Case of Algebra.- Images of Rate and Operational Understanding of the Fundamental Theorem of Calculus†.- Negotiation of Mathematical Meaning and Learning Mathematics.



Ihre Fragen, Wünsche oder Anmerkungen
Vorname*
Nachname*
Ihre E-Mail-Adresse*
Kundennr.
Ihre Nachricht*
Lediglich mit * gekennzeichnete Felder sind Pflichtfelder.
Wenn Sie die im Kontaktformular eingegebenen Daten durch Klick auf den nachfolgenden Button übersenden, erklären Sie sich damit einverstanden, dass wir Ihr Angaben für die Beantwortung Ihrer Anfrage verwenden. Selbstverständlich werden Ihre Daten vertraulich behandelt und nicht an Dritte weitergegeben. Sie können der Verwendung Ihrer Daten jederzeit widersprechen. Das Datenhandling bei Sack Fachmedien erklären wir Ihnen in unserer Datenschutzerklärung.