Reflective Thinking of Mathematics Prospective Teachers’ for Problem Solving

Abstract

Reflective thinking is a thinking activity marked by the appearance of confusion and efforts to overcome it through planned steps based on knowledge, experience, and problem-solving skills. Reflective thinkers involve specific skills to identify problems, examine, evaluate, formulate problems, and draw conclusions. There are three categories in reflective thinking, including clarification reflective thinking, connective reflective thinking, and productive reflective thinking. The difference lies in the way individuals deal with confusion. This research describes the reflective thinking process of mathematics prospective teachers in solving analytical geometry in term of plane content based on aspects of technique, monitoring, insight, conceptualization. The qualitative research employed prospective mathematics teacher in Java - Indonesia as research subjects. Data collection taken by using test techniques, field notes, interviews, and audio-visual recordings. The results showed that subjects with the category of clarification reflective thinking, connective reflective thinking, and productive reflective thinking did all four aspects even though not all indicators of each aspect. Thus, a training is necessary to develop mathematics prospective teachers’ reflective thinking.

Hierarchy of Students’ Reflective Thinking Levels in Mathematical Problem Solving

“…Research that focuses on reflective thinking has formed several conclusions. First, reflective thinking plays a role in minimising problemsolvers' weaknesses when they find difficulties and misunderstandings in problem solutions and conclusions (Agustan et al, 2017a;Kholid et al, 2021). Second, reflective thinking leads problem-solvers to rethink and reevaluate the strategies used to make informed decisions in solving problems (Gencel & Saracaloğlu, 2018;Ngololo & Kanandjebo, 2021).…”

Gender Difference: Students’ Mathematical Literacy in Problem Solving

“…Mathematical literacy is defined as the ability to use the knowledge and understand mathematics in facing challenges [7]- [8]. On the other hand, literacy in the context of mathematics is having the power to use mathematical thinking in solving every day's problems [9].…”

Kemampuan Berpikir Reflektif Matematis dalam Menyelesaikan Soal Barisan dan Deret

“…Dari pernyataan tersebut berpikir reflektif dapat diartikan sebagai situasi yang terjadi pada saat seseorang mengalami kebingungan dan melakukan penyelidikan berulang-ulang sampai menemukan penyelesaian. Begitu juga Kholid et al (2021) mengemukakan bahwa berpikir reflektif matematis adalah kegiatan berpikir yang berupaya untuk mengatasi kebingungan terhadap masalah matematis melalui langkah-langkah yang terencana dengan berdasarkan pengetahuan, pengalaman, dan keterampilan pemecahan masalah. Untuk mengukur kemampuan berpikir reflektif matematis siwa, diperlukan indikator yang menjadi tolak ukur seberapa reflektifnya siswa dalam menyelesaikan permasalahan.…”