Abstract
This article was prompted by the thoughtful commentaries of Norton, Tzur, and Dreyfus. Their commentaries pointed out important ideas that were left implicit or only partially explained. The clarifications made here include how the Learning Through Activity (LTA) research program differs from related research programs, the relation of the LTA theoretical framework to scheme theory, our choice to not employ the construct of perturbation in explaining learning, and the structure of hypothetical learning trajectories. In addition, I discuss a type of mathematical concept that we have not discussed previously.
Original language | English (US) |
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Pages (from-to) | 224-229 |
Number of pages | 6 |
Journal | Journal of Mathematical Behavior |
Volume | 52 |
DOIs |
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State | Published - Dec 2018 |
Keywords
- Constructivism
- Hypothetical learning trajectories
- Mathematical concepts
- Reflective abstraction
- Scheme theory
ASJC Scopus subject areas
- Education
- Applied Psychology
- Applied Mathematics