A hypothetical learning trajectory on measurement and flexible arithmetic

K.P.E. Gravemeijer; J. Bowers; M. Stephan

A hypothetical learning trajectory on measurement and flexible arithmetic

K.P.E. Gravemeijer, J. Bowers, M. Stephan

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

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Original language	English
Title of host publication	Supporting students' development of measuring conceptions: Analyzing students' learning in social context
Editors	M. Stephan, J. Bowers, P. Cobb, K.P.E. Gravemeijer
Place of Publication	Reston, VA
Publisher	National Council of Teachers of Mathematics
Pages	51-66
ISBN (Print)	0-87353-556-1
Publication status	Published - 2003

Publication series

Name	Journal for Research in Mathematics Education Monograph
Volume	12
ISSN (Print)	0883-9530

Cite this

Gravemeijer, K. P. E., Bowers, J., & Stephan, M. (2003). A hypothetical learning trajectory on measurement and flexible arithmetic. In M. Stephan, J. Bowers, P. Cobb, & K. P. E. Gravemeijer (Eds.), Supporting students' development of measuring conceptions: Analyzing students' learning in social context (pp. 51-66). (Journal for Research in Mathematics Education Monograph; Vol. 12). National Council of Teachers of Mathematics.

Gravemeijer, K.P.E. ; Bowers, J. ; Stephan, M. / A hypothetical learning trajectory on measurement and flexible arithmetic. Supporting students' development of measuring conceptions: Analyzing students' learning in social context. editor / M. Stephan ; J. Bowers ; P. Cobb ; K.P.E. Gravemeijer. Reston, VA : National Council of Teachers of Mathematics, 2003. pp. 51-66 (Journal for Research in Mathematics Education Monograph).

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Gravemeijer, KPE, Bowers, J & Stephan, M 2003, A hypothetical learning trajectory on measurement and flexible arithmetic. in M Stephan, J Bowers, P Cobb & KPE Gravemeijer (eds), Supporting students' development of measuring conceptions: Analyzing students' learning in social context. Journal for Research in Mathematics Education Monograph, vol. 12, National Council of Teachers of Mathematics, Reston, VA, pp. 51-66.

A hypothetical learning trajectory on measurement and flexible arithmetic. / Gravemeijer, K.P.E.; Bowers, J.; Stephan, M.
Supporting students' development of measuring conceptions: Analyzing students' learning in social context. ed. / M. Stephan; J. Bowers; P. Cobb; K.P.E. Gravemeijer. Reston, VA: National Council of Teachers of Mathematics, 2003. p. 51-66 (Journal for Research in Mathematics Education Monograph; Vol. 12).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

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T1 - A hypothetical learning trajectory on measurement and flexible arithmetic

AU - Gravemeijer, K.P.E.

AU - Bowers, J.

AU - Stephan, M.

PY - 2003

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SN - 0-87353-556-1

T3 - Journal for Research in Mathematics Education Monograph

SP - 51

EP - 66

BT - Supporting students' development of measuring conceptions: Analyzing students' learning in social context

A2 - Stephan, M.

A2 - Bowers, J.

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A2 - Gravemeijer, K.P.E.

PB - National Council of Teachers of Mathematics

CY - Reston, VA

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Gravemeijer KPE, Bowers J, Stephan M. A hypothetical learning trajectory on measurement and flexible arithmetic. In Stephan M, Bowers J, Cobb P, Gravemeijer KPE, editors, Supporting students' development of measuring conceptions: Analyzing students' learning in social context. Reston, VA: National Council of Teachers of Mathematics. 2003. p. 51-66. (Journal for Research in Mathematics Education Monograph).