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Integrating the Study of Trigonometry, Vectors, and Force Through Modeling
Author(s) -
Doerr Helen M.
Publication year - 1996
Publication title -
school science and mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.135
H-Index - 2
eISSN - 1949-8594
pISSN - 0036-6803
DOI - 10.1111/j.1949-8594.1996.tb15864.x
Subject(s) - trigonometry , process (computing) , mathematics education , curriculum , class (philosophy) , completeness (order theory) , computer science , iterative and incremental development , motion (physics) , closure (psychology) , algebra over a field , mathematics , pedagogy , geometry , artificial intelligence , software engineering , psychology , programming language , mathematical analysis , economics , pure mathematics , market economy
In this case study, we have investigated the construction of understanding of the motion of an object down an inclined plane which takes place through the process of model building. This study was conducted in an integrated algebra, trigonometry, and physics class at an alternative public school. The components of the modeling process explored in the study are the action of building representations and relationships from physical phenomena, the use of a simulation environment to explore conjectures, and the iterative process of developing and validating a solution through the use of a multirepresentational analytic tool. Four major results related to student model building emerged from this study. First, students pursued problems with far more diversity in approaches than the problem itself might have initially suggested. Second, this analysis challenges conventional notions of closure and completeness. Third, the integration of the simulation environment provided access to an expert's model that could be used as the students built their own model of the phenomena being investigated. The fourth theme is that of progressive complexity in the student model as a structure that was built over an extended period of time. The implications of these results for both instruction and curriculum are discussed.