Keupayaan Dan Sikap Dalam Menyelesaikan Masalah Matematik Bukan Rutin

2012 ◽  
Author(s):  
Syed Abdul Hakim Syed Zainuddin ◽  
Mohini Mohamed
Keyword(s):  
Problem Solving ◽  
Key Words ◽  
Mathematical Problem ◽  
Structured Interview ◽  
Cluster Sampling ◽  
Planning Problem ◽  
Student Opinion ◽  
Self Confidence ◽  
Problem Solving Strategies ◽  
Problem Solving Process

Kajian ini bertujuan untuk menentukan keupayaan menyelesaikan masalah matematik bukan rutin di kalangan pelajar tingkatan dua di beberapa buah sekolah sekitar daerah Johor Bahru. Ia difokuskan kepada keupayaan pelajar dalam proses menyelesaikan masalah yang merangkumi: proses memahami masalah, merancang strategi penyelesaian, melaksanakan strategi dan akhir sekali menyemak serta menilai jawapan. Kajian ini merupakan kajian tinjauan. Persampelan adalah secara persampelan kelompok. Sampel kajian adalah terdiri daripada 70 orang pelajar tingkatan dua. Tiga alat kajian digunakan, iaitu ujian penyelesaian masalah matematik bukan rutin, soal selidik berkaitan sikap terhadap penyelesaian masalah dan temu bual berstruktur. Tiga kategori yang dinilai dalam inventori sikap adalah kesanggupan dalam aktiviti menyelesaikan masalah, ketabahan ketika menyelesaikan masalah dan keyakinan diri dalam menyelesaikan masalah. Dapatan menunjukkan bahawa pelajar tingkatan dua mempunyai kemahiran memahami masalah pada tahap tinggi tetapi mempunyai kemahiran merancang strategi dan menulis jawapan pada tahap yang sangat lemah. Manakala bagi kemahiran melaksana strategi, pelajar tingkatan dua ini berada pada tahap yang sederhana dalam menyelesaikan masalah matematik bukan rutin. Dari segi sikap terhadap penyelesaian masalah, pelajar tingkatan dua mempunyai tahap sikap yang tinggi dalam kesanggupan dan ketabahan tetapi mempunyai tahap sikap yang sederhana dalam keyakinan. Temu bual pula mendapati terdapat perbezaan pandangan dan pola penyelesaian antara pelajar yang mendapat skor terendah dan pelajar yang mendapat skor tertinggi ketika menjawab soalan matematik bukan rutin. Kata kunci: Masalah matematik bukan rutin; proses menyelesaikan masalah; kesanggupan; ketabahan; keyakinan diri This study was designed to identify student’s ability in solving non–routine mathematical problem among form two students from schools in the district of Johor Bahru. Its focus is on student’s ability on problem solving process that is: to understand the problem, to plan the problem solving strategies, to carry out the strategies, and lastly to review the answers as well as the overall solution. This study was a form of survey with a cluster sampling. A total of 70 form two students were chosen as research sample. Three instruments were used: non–routine problem solving test, a questionnaires about problem solving attitudes and a structured interview. Three categories on attitudes inventory evaluated were willingness, perseverance and self–confidence on problem solving activity. The findings of the study showed that form two students were skilled in the understanding of the problem but have low skills in planning problem solving strategies and in reviewing the answers. These students have moderate skills to carry out the strategies in solving non-routine mathematical problem. Results of attitude on problem solving showed that form two students have high scores for attitudes on willingness and perseverance but average scores for attitude on confidence. The interview also showed student opinion varied and there is a marked difference in patterns of solving problems across students with lowest scores and highest scores. Key words: Non–routine mathematical problem; problem solving process; willingness; perseverance; self–confidence

scholarly journals Teachers’ Use of Technology Affordances to Contextualize and Dynamically Enrich and Extend Mathematical Problem-Solving Strategies

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 793
Author(s):  
Manuel Santos-Trigo ◽  
Fernando Barrera-Mora ◽  
Matías Camacho-Machín
Keyword(s):  
Problem Solving ◽  
High School Teachers ◽  
Digital Technology ◽  
Dynamic Models ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Teachers ◽  
Use Of Technology ◽  
Technology Affordances ◽  
Problem Solving Strategies

This study aims to document the extent to which the use of digital technology enhances and extends high school teachers’ problem-solving strategies when framing their teaching scenarios. The participants systematically relied on online developments such as Wikipedia to contextualize problem statements or to review involved concepts. Likewise, they activated GeoGebra’s affordances to construct and explore dynamic models of tasks. The Apollonius problem is used to illustrate and discuss how the participants contextualized the task and relied on technology affordances to construct and explore problems’ dynamic models. As a result, they exhibited and extended the domain of several problem-solving strategies including the use of simpler cases, dragging orderly objects, measuring objects attributes, and finding loci of some objects that shaped their approached to reasoning and solve problems.

scholarly journals Resolución de problemas matemáticos en GeoGebra

2020 ◽  
Vol 9 (1) ◽  
pp. 26-42
Author(s):  
William Enrique Poveda Fernández
Keyword(s):  
Costa Rica ◽  
Problem Solving ◽  
Secondary School ◽  
Secondary School Teachers ◽  
Mathematical Reasoning ◽  
Mathematical Thinking ◽  
School Teachers ◽  
Mathematical Objects ◽  
Problem Solving Strategies ◽  
Problem Solving Process

RESUMENEn este artículo se analizan y discuten las ventajas y oportunidades que ofrece GeoGebra durante el proceso de resolución de problemas. En particular, se analizan y documentan las formas de razonamiento matemático exhibidas por ocho profesores de enseñanza secundaria de Costa Rica, relacionadas con la adquisición y el desarrollo de estrategias de resolución de problemas asociadas con el uso de GeoGebra. Para ello, se elaboró una propuesta de trabajo que comprende la construcción y la exploración de una representación del problema, y la formulación y la validación de conjeturas. Los resultados muestran que los profesores hicieron varias representaciones del problema, examinaron las propiedades y los atributos de los objetos matemáticos involucrados, realizaron conjeturas sobre las relaciones entre tales objetos, buscaron diferentes formas de comprobarlas basados en argumentos visuales y empíricos que proporciona GeoGebra. En general, los profesores usaron estrategias de medición de atributos de los objetos matemáticos y de examinación del rastro que deja un punto mientras se arrastra.Palabras claves: GeoGebra; Resolución de problemas; pensamiento matemático. RESUMOEste artigo analisa e discute as vantagens e oportunidades oferecidas pelo GeoGebra durante o processo de resolução de problemas. Em particular, as formas de raciocínio matemático exibidas por oito professores do ensino médio da Costa Rica, relacionadas à aquisição e desenvolvimento de estratégias de resolução de problemas associadas ao uso do GeoGebra, são analisadas e documentadas. Para isso, foi elaborada uma proposta de trabalho que inclui a construção e exploração de uma representação do problema, e a formulação e validação de conjecturas. Os resultados mostram que os professores fizeram várias representações do problema, examinaram as propriedades e atributos dos objetos matemáticos envolvidos, fizeram conjecturas sobre as relações entre esses objetos e procuraram diferentes formas de os verificar com base em argumentos visuais e empíricos fornecidos pelo GeoGebra. Em geral, os professores utilizaram estratégias para medir os atributos dos objetos matemáticos e para examinar o rasto que um ponto deixa enquanto é arrastado.Palavras-chave: GeoGebra; Resolução de problemas; pensamento matemático. ABSTRACTThis article analyzes and discusses the advantages and opportunities offered by GeoGebra during the problem-solving process. In particular, the mathematical reasoning forms exhibited by eight secondary school teachers in Costa Rica, related to the acquisition and development of problem solving strategies associated with the use of GeoGebra, are analyzed and documented. The proposal was developed that includes the elements: construction and exploration of a representation of the problem and formulation and validation of conjectures. The results show that teachers made several representations of the problem, examined the properties and attributes of the mathematical objects involved, made conjectures about the relationships between such objects, and sought different ways to check them based on visual and empirical arguments provided by GeoGebra. In general, the teachers used strategies to measure the attributes of the mathematical objects and to examine the trail that a point leaves while it is being dragged.Keywords: GeoGebra; Problem Solving; Mathematical Thinking.

scholarly journals Students Motivation and Mathematical Problem Solving Enhancement through SFAE (Student Facilitator and Explaining) in Problem-Solving Strategies

2020 ◽  
Vol 3 (2) ◽  
pp. 52
Author(s):  
Trisnawati Trisnawati ◽  
Wanda Nugroho Yanuarto
Keyword(s):  
Action Research ◽  
Problem Solving ◽  
Mathematical Problem ◽  
Learning Motivation ◽  
Mathematical Problem Solving ◽  
Average Percentage ◽  
Qualitative And Quantitative ◽  
Class Viii ◽  
Problem Solving Strategies ◽  
Student Test

This study was employed to enhance learning motivation and mathematical problem-solving abilities of class VIII A students of SMP Negeri 7 Purwokerto through SFAE learning with problem-solving strategies. The subjects of this study were 31 students of class VIII A SMP Negeri 7 Purwokerto. This study is a Classroom Action Research (CAR), which was conducted collaboratively and participative. The action research was carried out in 3 cycles, with each cycle consisting of 2 meetings. Students were given a questionnaire to measure learning motivation and a test to measure their mathematical problem-solving abilities at the end of each cycle. Data collection techniques in this study include observation, questionnaires, tests, and documentation. Data analysis was carried out by descriptive qualitative and quantitative. The finding showed that implementing of SFAE learning with problem-solving strategies could increase students’ learning motivation and mathematical problem-solving abilities. The study found that (1) The average percentage of the overall learning motivation questionnaire is steadily increased from 61.71% in cycle one to 68.10% in cycle two and 76.03% in cycle three. (2) The average percentage of student tests for problem-solving abilities in cycle one also significantly increases from 35.21% to 53.20% in cycle two and 79.61% in cycle three. The average student test rate for each indicator of problem-solving ability has met the study’s success criteria.

scholarly journals Teaching Strategies for Mathematical Problem-Solving through the Lens of Secondary School Teachers

TEM Journal ◽  
2021 ◽  
pp. 743-750
Author(s):  
Afiqah Hamizah Noor Ishak ◽  
Sharifah Osman ◽  
Chiang Kok Wei ◽  
Dian Kurniati
Keyword(s):  
Problem Solving ◽  
Secondary School ◽  
Thematic Analysis ◽  
Teaching Strategies ◽  
Secondary School Teachers ◽  
Mathematical Problem ◽  
Structured Interview ◽  
Mathematical Problem Solving ◽  
School Teachers ◽  
Teaching Problem

Many studies have been conducted on problem-solving but only a small number of studies emphasized the strategies of teaching problem-solving. This paper explores the teaching strategies for mathematical problem-solving in a secondary school in Johor, Malaysia. It involves a qualitative study in which a semi-structured interview was conducted with mathematics teachers. Data were analyzed using a sixstep thematic analysis. The results can be viewed from three contexts of findings, namely the teaching strategies, the problems faced by teachers, and the solutions to overcome the problems. The findings revealed that there are teachers who have implemented personal teaching strategies, namely the Easy-Maths Model and the Cut-Stop-Solve Model to effectively teach mathematical problem-solving. The findings also explained some problems in teaching mathematical problem-solving, whereby students’ weaknesses in basic mathematics emerged as the main drawback. This study provides useful information to teachers on the different strategies for teaching mathematical problem-solving.

scholarly journals ANALISIS SELF CONFIDENCE TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA SMK PADA MATERI BARISAN DAN DERET

2018 ◽  
Vol 7 (2) ◽  
pp. 171
Author(s):  
Zenal Muh Ramdan ◽  
Liana Veralita ◽  
Euis Eti Rohaeti ◽  
Ratni Purwasih
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Test Analysis ◽  
Ability Test ◽  
Problem Solving Skills ◽  
Self Confidence ◽  
Relationship Of ◽  
The Relationship ◽  
Academic Year ◽  
Confidence Scale

This study aims to determine the relationship between self confidence on the mathematical problem-solving abilities of students of SMK on the sequence and series material. The method in this research is descriptive qualitative. The place of research conducted at SMK Al-Ibrohimiyah Cianjur academic year 2018/2019 class XII Administration Offices with the number of 17 students. The instruments in this research are self confidence scale questionnaire and math solving ability test. Analysis of data used in this study using SPSS 21.00 with product moment analysis to measure the relationship of self confidence to the ability of problem solving mathematically. Based on the calculation, the result of data analysis shows that there is a correlation coefficient (r) of 0.784 with p = 0,000 (p <0.01) which means there is a significant positive relationship between self confidence on the ability of problem solving mathematically. This means that self confidence covering the aspects that exist in it can be used as a predictor to measure the ability of problem solving mathematically, the higher the self confidence of students, the students have good problem solving skills, otherwise the lower the students' self confidence, the students has a poor problem solving ability.

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