Characterization of students formal-proof construction in mathematics learning

Communications in Science and Technology

Santi Irawati¹  Subanji¹  Purwanto¹  Syamsuri² 

[1] State University of Malang Indonesia;University of Sultan Ageng Tirtayasa Indonesia;

关键词: Mathematics Learning;    Proof Construction;    Formal-proof;    Quadrant-Model;    Formal-proof;    Quadrant-Model;    Proof Construction;    Formal-proof;    Quadrant-Model;   

DOI  :  10.21924/cst.1.2.2016.2

来源: DOAJ

【 摘 要 】

Formal proof is a deductive process beginning from some explicitly quantified definitions and other mathematical properties to get a conclusion. Characteristics of student formal-proof construction are required to identify the appropriate treatment can be determined. The purpose of this study was to describe the characteristics of the construction of formal-proof based overview of the proof structure and conceptual understanding that the student possessed. The data used in this article were obtained from the 3-step processes: students are asked to write down the proof of proving-question, they are asked about the knowledge required in constructing proof using questionnaire, and then they are interviewed. The results showed that formal-proof construction could be modeled by the Quadrant-Model. First Quadrant describes correct construction of formal-proof, Second Quadrant describes insufficiencies concept in construction formal-proof, Third Quadrant indicates insufficiencies concept and proof-structure in construction formal-proof and Fourth Quadrant describes incorrect proof-structure in construction of formal-proof. This model could give consideration on how to help students who are in Quadrant II, III, and IV to be able to construct a formal proof like Quadrant I.

【 授权许可】

Unknown