Designing mathematical thinking questions for measuring aspect abstraction in topic sequences and series
A N Wijayanti (1*), E Susanti (2), C Hiltrimartin (3), B Santoso (4)
1,2,3,4) Mathematics Education, Sriwijaya University, Palembang, Indonesia
*arumnitiwijayanti[at]gmail.com
Abstract
This study aims to describe the design results of mathematical thinking questions that can be used to measure aspect abstraction in topic arithmetic sequence and series. This is design research consisting: preliminary design, focus group discussions, trials, observation and interview, and retrospective analysis. The subjects of this study are three students in grade 11 and 12. The data analysis was qualitative technique. The instrument consists of test and interview. As the results of this study, for question number 1, all of student-s answer was correct, but all of them showed only generalization, conjecturing and testing conjecture without specialization on their test. For question number 2, student 1 showed appearance of specialization and observation of patterns, student 2 showed the result same as student 3 when they appearance showed of specialization, observation of patterns, conjecturing and testing conjecture. They didn-t showed generalization on the test. For question number 3, student 1 showed only specialization while student 2 showed the result same as student 3 when they showed appearance of specialization, observation of patterns, generalization, conjecturing and testing conjecture.
Keywords: Designing; mathematical thinking; abstraction; sequences and series
Topic: Mathematics Education