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All Journal MUST: Journal of Mathematics Education, Science and Technology Jurnal Tadris Matematika Jurnal Tadris Matematika
Nurul Laili
Universitas Negeri Surabaya
Computer Science & IT Education Mathematics

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Thinking Process of Secondary Level Students in Constructing Proof by Mathematical Induction in Terms of Their Attitude toward Mathematics Nurul Laili; Tatag Yuli Eko Siswono
Jurnal Tadris Matematika Vol 4 No 1 (2021)
Publisher : Institut Agama Islam Negeri (IAIN) Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2021.4.1.121-138

Abstract

This research aims to describe secondary-level students' thinking processes in terms of their attitude toward mathematics in constructing proof by mathematical induction. This qualitative research involved two students who were selected from 30 students of second grade of senior high school that categorized into two groups, namely the students who have a positive and negative attitude toward mathematics by using Attitude Toward Mathematics Inventory (ATMI) questionnaire. One student from each category was selected to be given a proving test and interviewed. Students’ process of proving test and interview recording were collected and analyzed to identify their thinking process. This research points out that both students who have positive and negative attitudes towards mathematics can recall the information in their memory regarding the characteristics and steps to prove using mathematical induction. However, the student who has negative attitudes towards mathematics tends to experience some difficulties in processing information, especially in the induction step, caused by panic, depression, and insecurity. The student who has a positive attitude towards mathematics also experiences some difficulties in the proving process, namely understanding what to prove and compiling the induction steps. However, she keeps trying and believes that she would be able to solve it. Hence, she can solve the proof completely.
Giving Questions as Scaffolding to Help Student in Constructing Proof Nurul Laili; Tatag Yuli Eko Siswono
MUST: Journal of Mathematics Education, Science and Technology Vol 5, No 2 (2020): DECEMBER
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/must.v5i2.5882

Abstract

This research deals with the challenge of helping student who has difficulty in constructing trigonometry proof. This qualitative research that describing scaffolding process using questions involves 20 students in second grade of senior high school, then selects a student from the 11 students who cannot solve the proof completely. Student’s work on proving test and interview recording are collected and analysed data to identify student’s difficulty, type of scaffolding to help, and development produced. This research points out the difficulty student faces are: difficulty in devising strategy, stuck in the process, unable to find the next step, and unable to find relation between two terms. Scaffoldings given are: asking the characteristic of what to be proven, asking a concept that may be used, directive question, facilitative utterance, trans active prompt and bridging analogy. Furthermore, developments produced from scaffolding given are: student can purpose new idea and strategy, can find relation between two things or two concepts, and student can determine and use appropriate concept.
Thinking Process of Secondary Level Students in Constructing Proof by Mathematical Induction in Terms of Their Attitude toward Mathematics Nurul Laili; Tatag Yuli Eko Siswono
Jurnal Tadris Matematika Vol 4 No 1 (2021)
Publisher : Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2021.4.1.121-138

Abstract

This research aims to describe secondary-level students' thinking processes in terms of their attitude toward mathematics in constructing proof by mathematical induction. This qualitative research involved two students who were selected from 30 students of second grade of senior high school that categorized into two groups, namely the students who have a positive and negative attitude toward mathematics by using Attitude Toward Mathematics Inventory (ATMI) questionnaire. One student from each category was selected to be given a proving test and interviewed. Students’ process of proving test and interview recording were collected and analyzed to identify their thinking process. This research points out that both students who have positive and negative attitudes towards mathematics can recall the information in their memory regarding the characteristics and steps to prove using mathematical induction. However, the student who has negative attitudes towards mathematics tends to experience some difficulties in processing information, especially in the induction step, caused by panic, depression, and insecurity. The student who has a positive attitude towards mathematics also experiences some difficulties in the proving process, namely understanding what to prove and compiling the induction steps. However, she keeps trying and believes that she would be able to solve it. Hence, she can solve the proof completely.
Co-Authors Tatag Yuli Eko Siswono