Abstract

This study aims to describe the mathematical reasoning in students of class XI MIPA 5 SMAN 4 Jember in solving arithmetic sequences and series in terms of the learning styles of activists, reflectors, theorists, and pragmatists. This type of research is descriptive qualitative research. The research subjects were eight students based on the Honey-Mumford learning style. The instruments used in this study were learning style questionnaires, mathematical reasoning tests, and interview guidelines. The results of this study are Activist Students in solving arithmetic sequences and arithmetic sequences capable of presenting mathematical statements verbally and in writing but are incomplete, constructing and establishing conjectures, carrying out mathematical manipulations, giving reasons or evidence for the correctness of solutions, and making conclusions from statements, but incomplete. Reflector students are able to present mathematical statements verbally and in writing, construct and determine conjectures, carry out mathematical manipulations but are not careful in writing the methods used, provide reasons or evidence for the correctness of the solution, and make conclusions from statement, but takes a long time. Theorist students are able to present mathematical statements verbally and in writing, construct and determine conjectures, carry out mathematical manipulations, provide reasons or evidence for the correctness of the solution, and make conclusions from statements. Pragmatic students are able to present mathematical and verbal statements, construct and determine conjectures, carry out mathematical manipulations, provide reasons or evidence for the correctness of the solution, and make conclusions from statements.

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