Socioepistemology of the Existence and Uniqueness Theorem in the First-order Ordinary Differential Equation
نویسندگان
چکیده
Background : The teaching of differential equations is dominated by an excessively algebraised analytic tradition. For this reason, studies that contribute to conceptualising mathematical objects associated with the equation are important, particularly existence and uniqueness theorem. Objectives From its genesis, objective analyse nature knowledge, epistemology from practice. We give account variational arguments , i.e. based on practices focused study change, a predictive purpose, which allows obtaining desired result equation: demonstrating unique solution. Design A documentary analysis carried out Socioepistemological Theory works marked construction knowledge. Setting Participants Being documentary-cut study, we did not have participants stricto sensu . Data collection Our observation unit includes as primary secondary sources involved in constructing theorem: postulations, search for hypotheses proofs. Results reconstruction theorem offered, arguments, characterises some helped objects. Conclusions conclude bounded variation, particular way using contributed or establishment conditions interpretation solution obtain equation, contributions should be key implementations learning situations.
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ژورنال
عنوان ژورنال: Acta Scientiae
سال: 2022
ISSN: ['2178-7727', '1517-4492']
DOI: https://doi.org/10.17648/acta.scientiae.7192