The Role of Mathematical Representation and Disposition in Improving Students' Mathematical Power

Abstract

The success of students in problem solving is highly dependent on the ability of students representing each developmental problems and a higher representation influenced by other representations. The aim of research to uncover and describe the capabilities and dispositions mathematical representation based on the students' mathematical power. The subjects were students (prospective teachers of mathematics) academic year 2015/2016 Mathematics Education Department, Sultan Agung Islamic University. The numbers of students in this study were 29 students. The data collection technique using a mathematical representation tests, mathematical disposition questionnaires and interviews. The study concluded that the representation is affected by the disposition of the mathematical aspects of a person, through a positive disposition will help increase students' understanding of mathematical concepts. Furthermore, the mathematical representation will improve communication skills, perform conjecture and troubleshooting. In general disposition and mathematical representation was instrumental in enhancing the competence of the students' mathematical power.

The Effect of Mathematical Disposition on Basic Mathematical Abilities in the Online Learning

“…Mathematical disposition also influences one's success in learning mathematics. The results of the research show that mathematical disposition influences problem-solving abilities (Hutajulu et al, 2019;Kusmaryono et al, 2016Kusmaryono et al, , 2019. The results of other studies show that the productive disposition of mathematics has a significant relationship and the 8 dimensions of productive disposition contribute 84.5% to achievement (Fitrianna et al, 2018).…”

Literasi Matematis Mahasiswa Calon Guru dalam Menyelesaikan Soal Numerasi Statistik Berdasarkan Gaya Belajar Honey-Mumford

“…Pembelajaran matematika tidak hanya menyampaikan informasi, menunjukkan rumus, dan menuntut prosedur pengolahan masalah saja, tetapi pendidik/guru bertindak sebagai mediator dan fasilitator serta membantu peserta didik dengan menciptakan pembelajaran yang kondusif sehingga peserta didik aktif dan membangun pengetahuannya sendiri Kusmaryono et al, (2016). Di abad ke-21 ini, pembelajaran matematika juga diharapkan dapat menjadi sarana bagi peserta didik dalam mengembangkan kemampuan/keterampilan matematisnya.…”

Disposisi Matematis Siswa pada Penerapan Etnomatematika dalam Pembelajaran Matematika

“…Disposisi matematis yang tinggi memberikan pengaruh positif terhadap kemampuan pemecahan masalah matematika siswa (Kusmaryono & Suyitno, 2016). Kurangnya kemampun disposisi matematis siswa mengakibatkan kesulitan dalam memahami dan memahami konsep-konsep matematika yang kompleks, perhatian dan konsentrasi di kelas, proses belajar matematika yang tidak menyenangkan yang berdampak negatif terhadap prestasi akademik siswa (Fouze & Amit, 2018;Kusmaryono & Suyitno, 2016). Hal ini mungkin menjadi salah satu alasan tidak konsistennya pendidik dalam memberikan pembelajaran di sekolah, yang tidak dapat memanfaatkan lingkungan lokal (Abdullah, 2017).…”