Year 2020, Volume 8 , Issue 2, Pages 871 - 884 2020-06-15

Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework

Siti FAİZAH [1] , Toto NUSANTARA [2] , Sudirman SUDİRMAN [3] , Rustanto RAHARDİ [4]


Mathematical proof is a logically formed argument based on students' thinking process. A mathematical proof is a formal process which needs the ability of analytical thinking to solve. However, researchers still find students who complete the mathematical proof process through intuitive thinking. Students who have studied mathematical proof in the early semester should not have completed abstract algebraic proof intuitively. Therefore, the aim of this research is to explore students' thinking process in conducting mathematical proof based on Mason's framework. The instrument used to collect data was mathematical proof problems test related to abstract algebra and interviews. There are three out of 25 students who did abstract algebra through intuitive thinking as they only used two stages of the Mason's thinking framework. Then, two out of three students were chosen as the subjects of the study. The selection of research subjects is based on the student's ability to express intuitive thinking verbally process which were conducted while completing the test. It is found that students can form structural-intuitive warrant that they use to complete the mathematical proof of abstract algebra. Structural-intuitive warrant formed by students at the stage of attack and review are in the form of: institutional warrant and evaluative warrant, while at the entry and attack stage are a priori warrant and empirical warrant.
Thinking Process, Mathematical Proof, Mason’s Framework
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Primary Language en
Subjects Education, Scientific Disciplines
Published Date June 2020
Journal Section Thinking Skills
Authors

Orcid: 0000-0002-7025-591X
Author: Siti FAİZAH (Primary Author)
Institution: Universitas Negeri Malang
Country: Indonesia


Orcid: 0000-0003-1116-9023
Author: Toto NUSANTARA
Institution: Universitas Negeri Malang
Country: Indonesia


Orcid: 0000-0003-3548-3367
Author: Sudirman SUDİRMAN
Institution: Universitas Negeri Malang
Country: Indonesia


Orcid: 0000-0001-8974-840X
Author: Rustanto RAHARDİ
Institution: Universitas Negeri Malang
Country: Indonesia


Dates

Publication Date : June 15, 2020

Bibtex @research article { jegys689809, journal = {Journal for the Education of Gifted Young Scientists}, issn = {}, eissn = {2149-360X}, address = {editorjegys@gmail.com}, publisher = {Genç Bilge Yayıncılık}, year = {2020}, volume = {8}, pages = {871 - 884}, doi = {10.17478/jegys.689809}, title = {Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework}, key = {cite}, author = {Fai̇zah, Siti and Nusantara, Toto and Sudi̇rman, Sudirman and Rahardi̇, Rustanto} }
APA Fai̇zah, S , Nusantara, T , Sudi̇rman, S , Rahardi̇, R . (2020). Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework. Journal for the Education of Gifted Young Scientists , 8 (2) , 871-884 . DOI: 10.17478/jegys.689809
MLA Fai̇zah, S , Nusantara, T , Sudi̇rman, S , Rahardi̇, R . "Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework". Journal for the Education of Gifted Young Scientists 8 (2020 ): 871-884 <https://dergipark.org.tr/en/pub/jegys/issue/53184/689809>
Chicago Fai̇zah, S , Nusantara, T , Sudi̇rman, S , Rahardi̇, R . "Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework". Journal for the Education of Gifted Young Scientists 8 (2020 ): 871-884
RIS TY - JOUR T1 - Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework AU - Siti Fai̇zah , Toto Nusantara , Sudirman Sudi̇rman , Rustanto Rahardi̇ Y1 - 2020 PY - 2020 N1 - doi: 10.17478/jegys.689809 DO - 10.17478/jegys.689809 T2 - Journal for the Education of Gifted Young Scientists JF - Journal JO - JOR SP - 871 EP - 884 VL - 8 IS - 2 SN - -2149-360X M3 - doi: 10.17478/jegys.689809 UR - https://doi.org/10.17478/jegys.689809 Y2 - 2020 ER -
EndNote %0 Journal for the Education of Gifted Young Scientists Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework %A Siti Fai̇zah , Toto Nusantara , Sudirman Sudi̇rman , Rustanto Rahardi̇ %T Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework %D 2020 %J Journal for the Education of Gifted Young Scientists %P -2149-360X %V 8 %N 2 %R doi: 10.17478/jegys.689809 %U 10.17478/jegys.689809
ISNAD Fai̇zah, Siti , Nusantara, Toto , Sudi̇rman, Sudirman , Rahardi̇, Rustanto . "Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework". Journal for the Education of Gifted Young Scientists 8 / 2 (June 2020): 871-884 . https://doi.org/10.17478/jegys.689809
AMA Fai̇zah S , Nusantara T , Sudi̇rman S , Rahardi̇ R . Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework. JEGYS. 2020; 8(2): 871-884.
Vancouver Fai̇zah S , Nusantara T , Sudi̇rman S , Rahardi̇ R . Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework. Journal for the Education of Gifted Young Scientists. 2020; 8(2): 884-871.