Error Analysis on Prospective Teacher in Solving the Problem of Critical Thinking Mathematics with Apos Theory

Abstract

Mathematical critical thinking is an essential ability for prospective teachers. The prospective teachers must be able to use the ability to think critically well so that students who are taught can also have good mathematical critical thinking skills. However, sometimes prospective teachers have a mistake in solving the problem of critical mathematical thinking skills. The present paper aims to analyze the mistakes of prospective teachers in solving the problem of critical mathematical thinking skills. The type of research method is descriptive with the qualitative approach. The subject in this research is one student of semester VI. The methods used in this research include test method amounting to one essay question, interview method, and triangulation method. The findings show that the prospective teacher on the focus indicator can be completed well whereas the indicators of reason, inference, situation, clarity, and overview, the teacher cannot solve well. Causes of the teacher error based on APOS theory are (1) error in distinguishing between commutative and addition characteristic of multiplication on matrix, (2) error in multiplication operation on the matrix, (3) error inequality of two matrices, and (4) error in the concept of inverse equation matrix.

STEM education at junior high school mathematics course for improving the mathematical critical thinking skills

“…These results indicate that in general the tests given to students after using the developed teaching materials have a good influence on Mathematical Critical Thinking Skills. This result is in line with previous research which states that using problem-based learning can improve Mathematical Critical Thinking Skills (Afdareza et al 2020;Aini et al 2019;Mutakinati et al 2018;Syafril et al 2020;Yasin et al 2019), the STEM context used in mathematics learning can also improve Mathematical Critical Thinking Skills (Susandi et al 2018;Yasin et al 2019Yasin et al , 2020.…”

High order thinking skills: can it arise when a prospective teacher solves a controversial mathematics problem?

“…In the discussion process, prospective teachers detect the suitability of the procedures used. This discussion activity can be carried out for the process of self-reflection or with other friends after solving problems [27][28][29][30].…”

Proses Berpikir Kritis Siswa dalam Memecahkan Masalah Matematika

“…Berpikir kritis menjadi bagian penting pendidikan matematika, karena siswa banyak membutuhkan strategi kognitif untuk memproses suatu penyelesaian masalah (Jacob, 2012). Berpikir kritis diartikan sebagai aktivitas individu dalam proses pengambilan keputusan (Susandi, Sa'dijah, Asari, & Susiswo, 2018). Berpikir kritis adalah upaya individu dalam menganalisa dan mengevaluasi informasi untuk mendapatkan kesimpulan yang tepat dan valid (Syam dkk., 2020).…”