Exploring student's pattern generalisation strategy in solving prism sticker problem

[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 deve...

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Main Authors: Lisanul Uswah Sadieda, Kusaeri K, Siti Lailiyah, Wachidatul Adaniyah
Format: Article
Language:Indonesian
Published: Universitas Islam Negeri Mataram 2018-12-01
Series:Beta: Jurnal Tadris Matematika
Subjects:
Online Access:https://jurnalbeta.ac.id/index.php/betaJTM/article/view/174
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author Lisanul Uswah Sadieda
Kusaeri K
Siti Lailiyah
Wachidatul Adaniyah
author_facet Lisanul Uswah Sadieda
Kusaeri K
Siti Lailiyah
Wachidatul Adaniyah
author_sort Lisanul Uswah Sadieda
collection DOAJ
description [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
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spelling doaj.art-b53c4ab080b64fbca99045e2a4844f832022-12-21T18:23:41ZindUniversitas Islam Negeri MataramBeta: Jurnal Tadris Matematika2085-58932541-04582018-12-0111213114310.20414/betajtm.v11i2.174174Exploring student's pattern generalisation strategy in solving prism sticker problemLisanul Uswah Sadieda0Kusaeri K1Siti Lailiyah2Wachidatul Adaniyah3UIN Sunan Ampel SurabayaUIN Sunan Ampel SurabayaUIN Sunan Ampel SurabayaUIN Sunan Ampel Surabaya[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 masalahhttps://jurnalbeta.ac.id/index.php/betaJTM/article/view/174Pattern generalisationPrism sticker problemsStrategyProblem-solving
spellingShingle Lisanul Uswah Sadieda
Kusaeri K
Siti Lailiyah
Wachidatul Adaniyah
Exploring student's pattern generalisation strategy in solving prism sticker problem
Beta: Jurnal Tadris Matematika
Pattern generalisation
Prism sticker problems
Strategy
Problem-solving
title Exploring student's pattern generalisation strategy in solving prism sticker problem
title_full Exploring student's pattern generalisation strategy in solving prism sticker problem
title_fullStr Exploring student's pattern generalisation strategy in solving prism sticker problem
title_full_unstemmed Exploring student's pattern generalisation strategy in solving prism sticker problem
title_short Exploring student's pattern generalisation strategy in solving prism sticker problem
title_sort exploring student s pattern generalisation strategy in solving prism sticker problem
topic Pattern generalisation
Prism sticker problems
Strategy
Problem-solving
url https://jurnalbeta.ac.id/index.php/betaJTM/article/view/174
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AT kusaerik exploringstudentspatterngeneralisationstrategyinsolvingprismstickerproblem
AT sitilailiyah exploringstudentspatterngeneralisationstrategyinsolvingprismstickerproblem
AT wachidatuladaniyah exploringstudentspatterngeneralisationstrategyinsolvingprismstickerproblem