Educational Research and Reviews

  • Abbreviation: Educ. Res. Rev.
  • Language: English
  • ISSN: 1990-3839
  • DOI: 10.5897/ERR
  • Start Year: 2006
  • Published Articles: 2008

Full Length Research Paper

University students’ metacognitive failures in mathematical proving investigated based on the framework of assimilation and accommodation

Nizlel Huda*
  • Nizlel Huda*
  • PMIPA Mathematics Department, Jambi University, Jambi, Indonesia.
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Subanji
  • Subanji
  • Mathematics Department, State University of Malang, Indonesia.
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Toto Nusantara
  • Toto Nusantara
  • Mathematics Department, State University of Malang, Indonesia.
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Susiswo
  • Susiswo
  • Mathematics Department, State University of Malang, Indonesia.
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Akbar Sutawidjaja
  • Akbar Sutawidjaja
  • Mathematics Department, State University of Malang, Indonesia.
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Swasono Rahardjo
  • Swasono Rahardjo
  • Mathematics Department, State University of Malang, Indonesia.
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  •  Received: 25 February 2016
  •  Accepted: 25 April 2016
  •  Published: 23 June 2016

Abstract

This study aimed to determine students’ metacognitive failure in Mathematics Education Program of FKIP in Jambi University investigated based on assimilation and accommodation Mathematical framework. There were 35 students, five students did not answer the question, three students completed the questions correctly and 27 students tried to solve problems but unfortunately made the same mistake. Out of 27 students involved in the study, two students were taken as the research subjects. The research was a qualitative research; while the research instruments is the test items on proving the mathematical equations. The research data was the result of the students’ works and transcripts of interviews about the activities of metacognition of the problem solving. The benefits of the research could be used as a material consideration and metacognitive information regarding the failure of students in mathematical proofs. The results were obtained from the data from two research subjects, namely student one (S1) and student two (S2). The S1 used assimilation process as much as 7 times and the accommodation process as much as 4 times with failure metacognitive, such as metacognitive blindness, mirage metacognitive, and metacognitive vandalism. The S2 used a process of assimilation as much as 12 times and accommodation process as much as 6 times with the metacognitive failure only the metacognitive vandalism.

Key words: Metacognition failure, the framework of assimilation and accommodation, mathematical proofs.