Algebraic Reasoning in Solving Mathematical Problem Based on Learning Style

Abstract

Abstract. This study aimed to describe algebraic reasoning of secondary school's pupils with different learning styles in solving mathematical problem. This study begins by giving the questionnaire to find out the learning styles and followed by mathematical ability test to get three subjects of 8 th -grade whereas the learning styles of each pupil is visual, auditory, kinesthetic and had similar mathematical abilities. Then it continued with given algebraic problems and interviews. The data is validated using triangulation of time. The result showed that in the pattern of seeking indicator, subjects identified the things that were known and asked based on them observations. The visual and kinesthetic learners represented the known information in a chart, whereas the auditory learner in a table. In addition, they found the elements which makes the pattern and made a relationship between two quantities. In the pattern recognition indicator, they created conjectures on the relationship between two quantities and proved it. In the generalization indicator, they were determining the general rule of pattern found on each element of pattern using algebraic symbols and created a mathematical model. Visual and kinesthetic learners determined the general rule of equations which was used to solve problems using algebraic symbols, but auditory learner in a sentence.

Analisis Kemampuan Berpikir Kritis Matematis Ditinjau dari Gaya Belajar Siswa Kelas VII SMP Negeri 1 Karawang Barat

“…Apipah et al, (2018) juga menyebutkan bahwa siswa bergaya belajar visual mempunyai kemampuan koneksi matematis yang lebih baik jika di banding dengan siswa bergaya belajar kinestetik dan auditori. Indraswari et al, (2018) dalam penelitiannya menyebutkan bahwa siswa bergaya belajar kinestetik dan visual menuliskan penyelesaikan masalah matematika menggunakan symbol/kalimat matematika secara umum, sementara siswa bergaya belajar auditori menuliskan penyelesaian dalam bentuk kalimat.…”

“…Apipah et al, (2018) juga menyebutkan bahwa siswa dengan gaya belajar visual mempunyai kemampuan koneksi matematis yang lebih baik jika di banding dengan siswa yang mempunyai gaya belajar kinestetik dan auditori. Indraswari et al, (2018) dalam penelitiannya menyebutkan bahwa siswa dengan gaya belajar kinestetik dan visual menuliskan penyelesaikan masalah matematika menggunakan symbol/kalimat matematika secara umum, sementara siswa yang bergaya belajar auditori menuliskan penyelesaian dalam bentuk kalimat. Setiana & Purwoko (2020) menganalisis kemampuan berpikir kritis berdasarkan dari gaya belajar yang memberikan hasil kemampuan berpikir kritis siswa bergaya belajar kinestetik dalam kategori baik, kemampuan berpikir kritis siswa bergaya belajar visual dalam kategori sangat baik, dan kemampuan berpikir kritis siswa bergaya belajar auditorial dengan kategori cukup.…”

Algebraic Reasoning of Student with Keirsey Personality Type in Solving Mathematical Problem

“…Algebraic reasoning is an important skill for students since algebraic reasoning can improve students' mathematics and science skills. According to Kaput and Blanton (Indraswari et al, 2018), algebraic reasoning is a type of reasoning used to solve algebraic problems. Algebraic reasoning was process students do to find a pattern for specific mathematical problems or contextual situations, build relationships between quantities and write generalizations through formal representation and symbolically manipulation (Andriani, 2015).…”

“…There has been some research on algebraic reasoning in solving problems and their relationship to learning styles, adversity quotients, and mathematical intelligence. Based on (Indraswari et al, 2018) there were differences in student algebraic reasoning with field dependent and field independent learning styles. Kobandaha & Fuad (2019) also states that there were differences in student algebraic reasoning with logical-mathematical intelligence with spatial visuals.…”

Students’ Critical Thinking in Determining Coefficients of Algebraic Forms

“…Common difficulty faced by students in understanding the concept of algebra is due to the lack of understanding of the concept of variables (Lian & Idris, 2008). The use of various variable symbols causes students to have difficulty operating algebraic forms which causes difficulties in solving algebraic problems (Indraswari et al, 2018). Students' understanding of the concept of variables is vital to learn higher algebra, namely changing story problems to mathematical models (algebraic forms).…”