The role of the field in the construction of the concept of Vector Space

Marcela Parraguez González

Abstract: The research reported here uses the APOE theory as theoretical and methodological framework, in order to explain the role of the field in the construction of the vector space concept. The three components proposed by the research cycle –genetic decomposition, design and application of instruments and data analysis and verification– determine the overall structure of the study. The results obtained indicate that the role of the field in the construction of vector space concept is linked with the existence of linearly independent vectors, through the linear combination of vectors.

Key words: APOS Theory, Vector Space, Field

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