Hypothetical Learning Trajectories in Mathematics Education
- Martin SimonAffiliated withSteinhardt School of Culture, Education, and Human Development, New York University Email author
KeywordsLearning Teaching Constructivism Teacher thinking Learning progressions
Hypothetical learning trajectory is a theoretical model for the design of mathematics instruction. It consists of three components, a learning goal, a set of learning tasks, and a hypothesized learning process. The construct can be applied to instructional units of various lengths (e.g., one lesson, a series of lessons, the learning of a concept over an extended period of time).
Explanation of the Construct
Simon (1995) postulated the construct hypothetical learning trajectory. Simon’s goal in this heavily cited article was to provide an empirically based model of pedagogical thinking based on constructivist ideas. (Pedagogical refers to all contributions to an instructional intervention including those made by the curriculum developers, the materials developers, and the teacher.) The construct has provided a theoretical frame for researchers, teachers, and curriculum developers as they plan instruction for conceptual learning.
Simon (1995. P. 136) explained the compon ...
Reference Work Entry Metrics
- Hypothetical Learning Trajectories in Mathematics Education
- Reference Work Title
- Encyclopedia of Mathematics Education
- pp 272-275
- Print ISBN
- Online ISBN
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media Dordrecht
- Additional Links
- Teacher thinking
- Learning progressions
- Industry Sectors
- eBook Packages
- Stephen Lerman (501)
- Editor Affiliations
- 501. Department of Education, Centre for Mathematics Education, London South Bank University
- Martin Simon (88)
- Author Affiliations
- 88. Steinhardt School of Culture, Education, and Human Development, New York University, 239 Green St. 420, New York, NY, 10003, USA
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