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RESEARCH PAPER
Local Instruction Theories at the University Level: An Example in a Linear Algebra Course
1
Facultad de Ciencias de la Ingeniería, Universidad Austral de Chile, CHILE
2
Instituto de Educación y Pedagogía, Universidad del Valle, COLOMBIA
Online publication date: 2019-07-05
Publication date: 2019-07-05
Corresponding author
EURASIA J. Math., Sci Tech. Ed 2019;15(12):em1781
KEYWORDS
TOPICS
University/College EducationCognitive, Affective, and Social Aspects of Teaching and LearningCurriculum DevelopmentTeaching/Learning StrategiesMethodologies for Educational ResearchInstructional DesignMathematics Education
ABSTRACT
In order to promote the design of innovative instructional activities at the Linear Algebra, we perform a design-based research project to explore how to teach Linear Algebra at the university level. In this article, we present the results of three cycles of a teaching experiment that we carried out to design, try out, and improve a local instruction theory (LIT) on the teaching of the concepts of spanning set and span in Linear Algebra with first-year engineering students. In a retrospective analysis, we looked for patterns in the data set of all the experiments, and we identified key learning moment of the students. Based on these patterns, we formulated a LIT to support the construction of the concepts of spanning set and span.
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