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Journal : Beta: Jurnal Tadris Matematika

Exploring student's pattern generalisation strategy in solving prism sticker problem Lisanul Uswah Sadieda; Kusaeri Kusaeri; Siti Lailiyah; Wachidatul Adaniyah
Beta: Jurnal Tadris Matematika Vol. 11 No. 2 (2018): Beta November
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v11i2.174

Abstract

[English]: This research aimed to describe the stages through which eighth-grade students develop pattern generalizations when solving prism sticker problem and determine the type of strategy used. Prism sticker problem is a modified task from cube sticker problem that Lannin (2003) has used in developing student’s pattern generalization. Prism Sticker problem uses triangular prism-shaped media that will be affixed with color stickers. The subjects of the research were eighth-grade students of public junior high schools in Krian City, East Java, Indonesia. The results of this research show that the subjects can go through the four stages of the pattern generalization process, i.e., direct modeling, pattern identification, proof testing of the pattern, and determining the rule for a general case. The subjects can formulate the nth pattern by using algebraic symbols and explain it verbally. The results indicate that the subjects tend to use counting and explicit strategies to solve prism sticker problem. Keywords: Pattern generalization, Strategy, Prism sticker problem, Problem-solving [Bahasa]: Penelitian ini bertujuan untuk mendeskripsikan tahap-tahap yang dilalui siswa SMP dalam mengembangkan generalisasi pola saat menyelesaikan prism sticker problem dan menentukan jenis strategi yang digunakan. Prism sticker problem merupakan suatu tugas hasil modifikasi dari cube sticker problem yang telah digunakan Lannin (2003) dalam mengembangkan generalisasi pola siswa. Prism sticker problem menggunakan media berbentuk prisma segitiga yang akan ditempeli stiker warna. Subjek dalam penelitian ini adalah siswa kelas 8 SMPN 2 Krian. Hasil penelitian ini menunjukkan bahwa subjek mampu melalui keempat tahap proses generalisasi pola yaitu pemodelan langsung, identifikasi pola, pembuktian pola dan penentuan aturan untuk kasus yang lebih umum. Subjek mampu merumuskan pola ke-n dengan menggunakan simbol aljabar dan menjelaskannya secara verbal. Dalam penelitian ini, subjek cenderung menggunakan strategi counting dan explicit dalam menyelesaikan prism sticker problem. Kata Kunci: Pola generalisasi, Strategi, Prism sticker, Pemecahan masalah
The validity and inter-rater reliability of project assessment in mathematics learning Kusaeri Kusaeri; Sutini Sutini; Suparto Suparto; Faiqotul Wardah
Beta: Jurnal Tadris Matematika Vol. 12 No. 1 (2019): Beta May
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v12i1.266

Abstract

[English]: A common criticism of project assessment is the subjectivity and inconsistency of raters in scoring. In the present article, we provide the result of validity and inter-rater reliability test of the project assessment instrument. The instrument with a rubric was used to assess students’ project task in grade eight for function and relation topic. The task was adopted from mathematics textbooks used in the schools. The instrument has been tested to 10 raters/teachers and 94 grade eight students from three schools (in Surabaya and Gresik). Data were collected through the project assessment sheet along with its rubric as the scoring guidance for the teachers. Construct validity was analyzed through confirmatory factor analysis, while a reliability test was conducted by using inter-rater reliability method with the Intraclass Correlation Coefficient. The result of the validity test showed that the instrument did not fulfill the criteria of construct validity. It is indicated by the different number of factors between the initial construction and the empirical test result. In term of inter-rater reliability, the instrument is highly reliable. The findings indicate the need for testing the non-test assessment instrument provided on mathematics textbooks, so the aspects of its assessment sheet fulfill the valid and reliable criteria. Keywords: Validity, Reliability, Inter-rater, Project assessment, Project task [Bahasa]: Subjektivitas dan kurang konsistennya guru/rater dalam proses penyekoran merupakan kritik yang umum ditujukan pada penilaian proyek dalam pembelajaran matematika. Oleh karena itu, artikel ini menyajikan hasil uji validitas konstruk dan reliabilitas inter-rater instrumen penilaian projek. Instrumen yang dilengkapi rubrik tersebut digunakan untuk menilai tugas proyek siswa kelas VIII SMP pada materi relasi dan fungsi. Tugas diambil dari buku matematika yang digunakan di sekolah. Instrumen diujicobakan pada 10 raters/guru dan 94 siswa di tiga sekolah berbeda di Kota Surabaya dan Kabupaten Gresik. Data dikumpulkan melalui lembar penilaian projek yang dilengkapi rubrik penilaian sebagai pedoman guru dalam melakukan penskoran. Validitas konstruk dianalisis dengan menggunakan Confirmatory Factor Analysis, sedangkan reliabilitas inter-rater dianalisis dengan Intraclass Correlation Coefficient. Hasil uji validitas menunjukkan bahwa instrumen penilaian yang digunakan tidak valid secara konstruk. Ketidakvalidan ditandai dengan perbedaan banyaknya faktor hasil konstruksi awal dengan hasil uji empiris. Dari sisi reliabilitas inter-rater, instrumen penilaian proyek yang digunakan reliabel. Temuan ini mengindikasikan perlunya dilakukan pengujian instrumen penilaian non tes pada buku matematika, sehingga aspek-aspek dalam lembar penilaian menjadi valid dan reliabel. Kata kunci: Validitas, Reliabilitas, Inter-rater, Penilaian proyek, Tugas proyek
Identifying the structure of students’ argumentation in covariational reasoning of constructing graphs Sutini Sutini; Iffana Fitrotul Aaidati; Kusaeri Kusaeri
Beta: Jurnal Tadris Matematika Vol. 13 No. 1 (2020): Beta May
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v13i1.374

Abstract

[English]: This study aimed to identify students’ claim, evidence, and reasoning in covariational reasoning of constructing the graphs of a function. Covariational reasoning is one of the approaches to solve the problems of function. The study involved thirty grade 11 students. Data was collected through a covariation test and interview. The results of the test were grouped based on the criteria of mental action of covariational reasoning (Carlson et al., 2002), then the students who solve correctly two or three problems in the test were selected as the subjects. The interview data were analyzed to confirm and further dig students' structure of argumentation. The findings of this study indicate that only one student fulfils five mental actions of covariational reasoning; meanwhile, the other three students have similar components of argumentation which do not meet the mental actions. The claim and reasoning used by the latter students in covariational reasoning to construct graph are not identified in mental action 5 and the evidence is not found in mental action 3 (major coordination of change), mental action 4 (coordination the average rate of change), and mental action 5 (coordination of the instantaneous rate of change). Keywords: Argumentation, Claim, Evidence, Reasoning, Covariational reasoning [Bahasa]: Penelitian ini bertujuan untuk mengidentifikasi klaim, bukti, dan alasan siswa pada penalaran kovariasional dalam mengonstruk grafik fungsi. Penalaran kovariasional merupakan salah satu pendekatan dalam menyelesaikan permasalahan fungsi. Penelitian ini melibatkan 30 siswa kelas 11. Pengumpulan data dilakukan menggunakan tes kovariasi dan wawancara. Data hasil hasil tes kovariasi siswa dikelompokkan berdasarkan kriteria aksi mental penalaran kovariasional (Carlson et al., 2002), kemudian dipilih siswa yang mampu menyelesaikan minimal dua soal kovariasi. Data hasil wawancara dianalisis untuk mengonfirmasi dan menggali lebih dalam argumentasi siswa. Hasil penelitian menunjukkan hanya satu siswa yang memenuhi lima aksi mental penalaran kovariasional sedangkan ketiga siswa lain memiliki persamaan komponen argumentasi yang tidak memenuhi aksi mental. Untuk ketiga siswa tersebut, klaim dan alasan yang digunakan dalam membangun grafik fungsi tidak berada pada aksi mental 5 sedangkan bukti tidak berada pada aksi mental 3 (koordinasi besar perubahan), aksi mental 4 (koordinasi laju perubahan rata-rata), dan aksi mental 5 (koordinasi laju perubahan sesaat). Kata kunci: Argumentasi, Klaim, Bukti, Alasan, Penalaran kovariasional