Explains & demonstrates the role of examples in the teaching & learning of mathematics, & their place in mathematics generally at all levels.Includes a combination of exercises for the reader, practical applications for teaching, &solid scholarly groundin
Zusammenfassung
This book explains and demonstrates the teaching strategy of asking learners to construct their own examples of mathematical objects. The authors show that the creation of examples can involve transforming and reorganizing knowledge and that, although this is usually done by authors and teachers, if the responsibility for making examples is transferred to learners, their knowledge structures can be developed and extended. A multitude of examples to illustrate this is provided, spanning primary, secondary, and college levels. Readers are invited to learn from their own past experience augmented by tasks provided in the book, and are given direct experience of constructing examples through a collection of many tasks at many levels. Classroom stories show the practicalities of introducing such shifts in mathematics education. The authors examine how their approach relates to improving the learning of mathematics and raise future research questions.*Based on the authors' and others' theoretical and practical experience, the book includes a combination of exercises for the reader, practical applications for teaching, and solid scholarly grounding.*The ideas presented are generic in nature and thus applicable across every phase of mathematics teaching and learning.*Although the teaching methods offered are ones that engage learners imaginatively, these are also applied to traditional approaches to mathematics education; all tasks offered in the book are within conventional mathematics curriculum content.Mathematics as a Constructive Activity: Learners Generating Examples is intended for mathematics teacher educators, mathematics teachers, curriculum developers, task and test designers, and classroom researchers, and for use as a text in graduate-level mathematics education courses.
Inhalt
Contents: Preface. Introduction in Exemplification in Mathematics. Learner-Generated Examples in Classrooms. From Examples to Example Spaces. The Development of Learners' Example Spaces. Pedagogical Tools for Developing Example Spaces. Strategies for Prompting and Using Learner-Generated Examples. Mathematics as a Constructive Activity. Appendices.
Titel
Mathematics as a Constructive Activity
Untertitel
Learners Generating Examples
Autor
EAN
9781135630027
ISBN
978-1-135-63002-7
Format
PDF
Hersteller
Herausgeber
Veröffentlichung
21.04.2006
Digitaler Kopierschutz
Adobe-DRM
Dateigrösse
3.06 MB
Anzahl Seiten
244
Jahr
2006
Untertitel
Englisch
Unerwartete Verzögerung
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