TY - JOUR
T1 - An emerging methodology for studying mathematics concept learning and instructional design
AU - Simon, Martin A.
N1 - Funding Information:
This work is supported by the National Science Foundation under Grant No. DRL-1020154. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Publisher Copyright:
© 2018 Elsevier Inc.
PY - 2018/12
Y1 - 2018/12
N2 - Our microgenetic research methodology was developed for two purposes: 1) to develop greater understanding of conceptual learning and instructional design that promotes conceptual learning and 2) to develop empirically-based hypothetical learning trajectories for particular mathematical concepts. The challenge in developing the methodology was to afford analysis of the learning process (e.g., the transition), not just identification of conceptual steps through which learners progress. The methodology, developed by the Learning Through Activity research program, was based on constructivist teaching experiment methodology. Modifications were made to data collection for the purposes outlined and a multi-level retrospective analysis was developed.
AB - Our microgenetic research methodology was developed for two purposes: 1) to develop greater understanding of conceptual learning and instructional design that promotes conceptual learning and 2) to develop empirically-based hypothetical learning trajectories for particular mathematical concepts. The challenge in developing the methodology was to afford analysis of the learning process (e.g., the transition), not just identification of conceptual steps through which learners progress. The methodology, developed by the Learning Through Activity research program, was based on constructivist teaching experiment methodology. Modifications were made to data collection for the purposes outlined and a multi-level retrospective analysis was developed.
KW - Constructivism
KW - Microgenetic research
KW - Qualitative research
KW - Reflective abstraction
KW - Teaching experiments
UR - http://www.scopus.com/inward/record.url?scp=85048489641&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85048489641&partnerID=8YFLogxK
U2 - 10.1016/j.jmathb.2018.03.005
DO - 10.1016/j.jmathb.2018.03.005
M3 - Article
AN - SCOPUS:85048489641
SN - 0732-3123
VL - 52
SP - 113
EP - 121
JO - Journal of Mathematical Behavior
JF - Journal of Mathematical Behavior
ER -