Analysis of Students’ Error in Algebraic Thinking Test

Muthmainnah, Mirla Sarah; Priatna, Nanang; Priatna, Bambang Avip

doi:10.1088/1742-6596/895/1/012089

Cited by 3 publications

(3 citation statements)

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“…Through generalizing patterns, presenting relationships, and analyzing visible changes, algebraic thinking can link various mathematical topics to gain a better understanding ( [40]), students need the ability to understand series to solve problems with algebra knowledge. Several studies reveal that students' abilities are still insufficient when dealing with generational activities in algebra ( [41], [33], [42]). Research found that most students do not understand the concept of algebra and they also think that learning algebra is not fun at all ( [43]).…”

Section: Teaching Algebramentioning

confidence: 99%

An Innovative Model to Promote Secondary Students' Critical Thinking Skills in Algebra Learning

Liu

2024

IJSSHR

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This research aims to explore a learning model based on 21st-century skills and the Australian curriculum to cultivate students’ critical thinking skills in junior secondary mathematics algebra learning. This study used a mixed method. Quantitative data was collected through a questionnaire that provided information about perceptions of the challenges in learning algebra. Qualitative data was collected through semi-interviews with secondary mathematics teachers, which provided an opportunity for teachers to evaluate their understanding of critical thinking skills for algebra, it further clarified teachers’ expectations of mastering the key algebraic contents. Based on the data from the questionnaire and semi-interview, a practical model for embedding critical thinking skills and strategies in learning algebra was designed. The mathematical curriculum in Victoria and Australia were explored as they provided the basis of the model.

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Section: Teaching Algebramentioning

confidence: 99%

An Innovative Model to Promote Secondary Students' Critical Thinking Skills in Algebra Learning

Liu

2024

IJSSHR

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“…Some relevant studies (e.g., Jupri, Drijvers & van den Heuvel-Panhuizen, 2014;Malihatuddarojah & Prahmana, 2019) show that students in Indonesia made mistakes in solving problems about algebraic operations such as in variables, negative signs, solving algebraic equations, algebraic operations, and solving fractions. Moreover, students' deficiencies in algebraic thinking are on (1) interpreting information from the word problem to mathematical language, (2) comprehending the given information and the question in the problem, (3) combination of logic and concept they have learned when solving the problem (Muthmainnah et al, 2017) Some studies (Cai et al, 2011;Walkington, Sherman & Petrosino, 2012;Fakhrunisa & Hasanah, 2020;Cahyaningtyas, Novita & Toto, 2018;Andini & Suryadi, 2017) use generational activities problems to identify students' difficulties in algebraic thinking. By analyzing students' answers when they solve it, they found that students have difficulty in interpreting and representing quantitative relationships, especially those involving relational proportion (Cai et al, 2011;Walkington et al, 2012;Fakhrunisa & Hasanah, 2020), obtaining information from the questions given, so students had difficulty predicting patterns and information chunking (Cahyaningtyas et al, 2018;Andini & Suryadi, 2017), and students are not accustomed to seeing the rules that exist in generalizing the pattern (Andini & Suryadi, 2017).…”

Section: Students' Difficulties In Algebraic Thinkingmentioning

confidence: 99%

“…Several studies (e.g., Permatasari & Harta, 2018) reveal that students have higher generational activity than the other activities, but some students undergo difficulties in the generational activity. Moreover, students' abilities are still insufficient when dealing with generational activities (Andini & Suryadi, 2017;Fakhrunisa & Hasanah, 2020;Muthmainnah, Priatna & Priatna, 2017). Some studies show different results where grade 7 can generalize patterns and use symbols (Britt & Irwin, 2008;Patton & Santos, 2012).…”

Section: Introductionmentioning

confidence: 99%

Exploring students’ algebraic thinking in generational activities and their difficulties

Permatasari

Azka

Fikriya

2021

BetaJTM

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[English]: Generational, transformational, and global meta-level are three typical activities of algebraic thinking students engage in school. Several studies show that students involve more in the generational activity than the other activities. However, some students still have difficulties solving problems in the generational activity. Therefore, this study focused on the generational activity, aiming to analyze student's algebraic thinking and difficulties in the generational activity. It involved ninety-five 7th-grade students given an initial test to measure their abilities in the generational activity. The analysis of students’ answers and interviews follow three steps; data condensation, data display, and drawing and verifying conclusions. This study indicates that, in the generational activity, the students can generalize statements from patterns better than forming statements and equations containing an unknown quantity. Students’ difficulties in the generational activities, including (1) understand the problems and turn them into mathematical forms and (2) generalize the patterns to the nth term. These are due to the students’ incomprehension of the relationships of some conditions in the given problems and understanding of the meaning of variables. [Bahasa]: Kegiatan generasional, transformasional, dan meta-level global adalah tiga kegiatan berpikir aljabar yang dilakukan siswa di sekolah. Beberapa penelitian sebelumnya menunjukkan bahwa siswa lebih banyak terlibat dalam kegiatan generasional dibandingkan kegiatan berpikir aljabar lainnya. Namun, terdapat beberapa siswa yang mengalami kesulitan dalam menyelesaikan masalah pada kegiatan generasional. Oleh karena itu, penelitian ini akan difokuskan pada kegiatan generasional, dengan tujuan menganalisis pemikiran aljabar siswa dalam aktivitas generasional dan kesulitan yang dialami siswa. Penelitian ini melibatkan 95 siswa kelas 7 yang mengikuti tes awal untuk mengukur kemampuan dalam kegiatan generasional. Jawaban siswa dan hasil wawancara dianalisis melalui tiga tahap, yaitu kondensasi data, penyajian data, serta penarikan dan verifikasi kesimpulan. Hasil penelitian ini menunjukkan bahwa dalam kegiatan generasional, siswa dapat mengeneralisasi pernyataan dari pola lebih baik daripada membuat pernyataan dan persamaan yang mengandung variabel. Siswa menunjukkan berbagai kesulitan dalam kegiatan generasional, diantaranya (1) memahami masalah dan mengubahnya menjadi bentuk matematis dan (2) menggeneralisasikan pola suku ke-n. Hal ini disebabkan siswa tidak memahami hubungan beberapa kondisi dalam masalah yang diberikan dan arti variabel.

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Characteristics of students’ mathematical representation in solving algebraic thinking problems

Nada

Prabawanto

Suhendra

2020

J. Phys.: Conf. Ser.

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Facts in the field show that there are still many students who have difficulty in understanding concepts of algebra and have a low ability in algebraic thinking. One of the factors that influence the situation is because students find it difficult to change their thinking processes from arithmetic thinking to algebraic thinking. There are three abilities in algebraic thinking and one of them is mathematical representation ability. The purpose of this study is to analyze the characteristics of students’ mathematical representation in solving algebraic thinking problems. This research is a qualitative research conducted on 34 students’ grade 6th elementary school and 34 students’ grade 7th junior high school. Based on the analysis of the results of written tests and interviews, it was found that elementary and high school students have similarities and differences in the mathematical representations they use to solving algebraic thinking problems. In addition, the researcher found that both elementary school students and junior high school students tended to use a combination of several representations to express mathematical ideas found in the problem.

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Analysis of Students’ Error in Algebraic Thinking Test

Cited by 3 publications

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An Innovative Model to Promote Secondary Students' Critical Thinking Skills in Algebra Learning

An Innovative Model to Promote Secondary Students' Critical Thinking Skills in Algebra Learning

Exploring students’ algebraic thinking in generational activities and their difficulties

Characteristics of students’ mathematical representation in solving algebraic thinking problems

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