Fundamental Constructs in Mathematics Education

Front Cover
John Mason, Sue Johnston-Wilder
Psychology Press, 2004 - Business & Economics - 339 pages
Fundamental Constructs in Mathematics Education is a unique sourcebook which has been crafted from a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature. Linked together by the editors'' narrative, the book provides a fascinating examination of key constructs in mathematics education. The book is divided into two parts. The first part examines ''thinking about the learner'' and includes the following constructs: constructivisms, activity theory and didactics. Beginning with a chapter dedicated to the classic tasks used by researchers to ''probe'' learners'' understanding, readers are encouraged to try these theories themselves with learners and be knowledgeable when they encounter them in other writing. The second part focuses on ''thinking and teaching'' and includes issues of getting started, keeping going and bringing to a conclusion. Bringing together writing from Balacheff, Brousseau, Bruner, Cobb, Comfrey, Freudenthal, Greeno, Marton, Piaget, Schon, Vygotsky and many others, this unique examination of constructs in mathematics education will be a valuable resource for anyone reading literature related to learning mathematics be they a teacher, adviser or a student on a masters or PhD course.
 

Contents

SECTION
5
Middle years
16
Later years
25
What is learning?
52
Analysis of learning for informing teaching
79
Learners powers
94
Affect in learning mathematics
99
Learning as action
143
Initiating mathematical activity
228
143
248
Sustaining mathematical activity
260
181
268
Concluding mathematical activity
280
Having learned ?
288
Epilogue
311
Index
331

7
181
SECTION 2
215

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