Encyclopedia of Mathematics Education

Editors: Stephen Lerman

Hypothetical Learning Trajectories in Mathematics Education

Reference work entry
DOI: https://doi.org/10.1007/978-94-007-4978-8_72


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 components...


Learning Teaching Constructivism Teacher thinking Learning progressions 
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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Steinhardt School of Culture, Education, and Human DevelopmentNew York UniversityNew YorkUSA