scholarly journals Metacognitive Behaviour of Malaysian Students While Solving Mathematical Problems of Form Three Assessment (PT3)

2017 ◽  
Vol 31 (59) ◽  
pp. 907-927 ◽  
Author(s):  
Abdul Halim Abdullah ◽  
Surya ‘Ain Ahmed ◽  
Sharifah Nurarfah S. Abd Rahman ◽  
Soh Hon Mun ◽  
Mahani Mokhtar
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Thinking Aloud ◽  
Performance Levels ◽  
Different Types ◽  
Mathematical Problems ◽  
Metacognitive Behaviour ◽  
Malaysian Students ◽  
Successful Students

ABSTRACT Several studies on metacognition have sought to solve mathematical problems. However, in Malaysia, there has yet to be a study investigating the metacognitive behaviour of students in solving mathematical problems of Form Three Assessment (Pentaksiran Tingkatan Tiga - PT3). This study was conducted to identify the metacognitive behaviour of students while solving mathematical problems in PT3 and examine differences in metacognitive behaviour among successful students (SS), partially successful students (PSS), and unsuccessful students (USS). A total of six (6) Form Three students in a school in Johor Bahru participated in this study. The research instrument used was the actual set of 2014's PT3 questions. Data were analysed using the Thinking Aloud method with reference to Foong's Taxonomy (1993), and it was supported by analysis of the students’ written work. Results showed seven types of metacognitive behaviour exhibited by the students, depending on the types of questions given. The analysis also found that each category of students showed different types of metacognitive behaviour while solving their PT3 mathematical problems. The SS group could control their metacognitive behaviour in mathematical problem-solving more regularly and frequently, the PSS students behaved moderately, while the USS group demonstrated limited metacognitive behaviour. As the results indicated differences in metacognitive behaviour among students of different performance levels, teachers should help students with weakness in solving mathematical problems implement metacognitive behaviour to strengthen their mathematical proficiency.

scholarly journals Metacognitive Skills of Malaysian Students in Non-Routine Mathematical Problem Solving

2017 ◽  
Vol 31 (57) ◽  
pp. 310-322 ◽  
Author(s):  
Abdul Halim Abdullah ◽  
Sharifah Nurarfah S. Abd Rahman ◽  
Mohd Hilmi Hamzah
Keyword(s):  
Problem Solving ◽  
Empirical Studies ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Metacognitive Skills ◽  
Self Monitoring ◽  
Significant Difference ◽  
Mathematical Problems ◽  
Malaysian Students ◽  
The Impact

Abstract Metacognitive skills play an important role in solving mathematical problems. However, there is a lack of empirical studies on the role of metacognitive skills in solving mathematical problems, particularly non-routine ones. Therefore, this study was undertaken to identify students' metacognitive skills and the impact of such skills on non-routine mathematical problem solving. By using a quantitative method, a total of 304 students in Johor Bahru district were involved in the study. A Self-Monitoring Questionnaire (SMQ) and a mathematical test were used in data collection. Data were analysed using descriptive and inferential statistics such as frequency, percentage, mean, the Mann-Whitney U test, and the Kruskal-Wallis H test. Results showed that the level of the students' performance in solving non-routine mathematical problems was very low. There was also a significant difference in the metacognitive skills among students with different performance levels in solving non-routine mathematical problems, and we concluded that these metacognitive skills should be emphasised in this process.

scholarly journals Pengaruh Model Pembelajaran Thinking Aloud Pair Problem Solving (TAPPS) Terhadap Kemampuan Pemecahan Masalah Matematika pada Materi Bentuk Aljabar

2021 ◽  
Vol 1 (2) ◽  
pp. 90-98
Author(s):  
Intan Rachmawati ◽  
Baidowi Baidowi ◽  
Nurul Hikmah ◽  
Laila Hayati
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Thinking Aloud ◽  
Mathematical Problems ◽  
Direct Learning ◽  
And Control

This study aims to determine the effect of Thinking Aloud Pair Problem Solving (TAPPS) learning model on mathematical problem solving abilities in the form of algebra material. This type of research is a quasi experiment with the posttest only design with a nonequivalent group. The population in this study were 7th grade students of SMPN 1 Mataram in the academic year of 2019/2020. Sample determination using purposive sampling technique, where the sample of this study is students of class VII-I as an experimental class and students of class VII-H as a control class. In the experimental class applied the TAPPS learning model and control class applied the direct learning model. The instrument used in this study was a test of mathematical problem-solving abilities (posttest) on algebra form material. Quantitative data analysis was performed using t-test. The results of the data analysis showed that there are significant differences in students' mathematical problem solving abilities between the classes that get the TAPPS learning and direct learning. This suggests that learning with the Thinking Aloud Pair Problem Solving (TAPPS) model affects the ability to solve mathematical problems in the form of algebra material.

scholarly journals Students’ suspension of sense making in problem solving

ZDM ◽  
2021 ◽  
Author(s):  
Gemma Carotenuto ◽  
Pietro Di Martino ◽  
Marta Lemmi
Keyword(s):  
Problem Solving ◽  
Qualitative Study ◽  
Word Problem ◽  
Word Problems ◽  
Mathematical Problem ◽  
Critical Issue ◽  
Mathematical Problem Solving ◽  
Sense Making ◽  
Mathematical Problems

AbstractResearch on mathematical problem solving has a long tradition: retracing its fascinating story sheds light on its intricacies and, therefore, on its needs. When we analyze this impressive literature, a critical issue emerges clearly, namely, the presence of words and expressions having many and sometimes opposite meanings. Significant examples are the terms ‘realistic’ and ‘modeling’ associated with word problems in school. Understanding how these terms are used is important in research, because this issue relates to the design of several studies and to the interpretation of a large number of phenomena, such as the well-known phenomenon of students’ suspension of sense making when they solve mathematical problems. In order to deepen our understanding of this phenomenon, we describe a large empirical and qualitative study focused on the effects of variations in the presentation (text, picture, format) of word problems on students’ approaches to these problems. The results of our study show that the phenomenon of suspension of sense making is more precisely a phenomenon of activation of alternative kinds of sense making: the different kinds of active sense making appear to be strongly affected by the presentation of the word problem.

scholarly journals LOGICAL REASONING ANALYSIS BASED ON HIPPOCRATES PERSONALITY TYPES

Aksioma ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 57-73
Author(s):  
Nurdin Nurdin ◽  
Ita Sarmita Samad ◽  
Sardia Sardia
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Logical Reasoning ◽  
Personality Types ◽  
The Body ◽  
Mathematical Problem Solving ◽  
Different Types ◽  
Ways Of Thinking ◽  
The Difference ◽  
Descriptive Qualitative

Abstract: The theory distinguishes human based on four different personality types such as: sanguine, choleric, melancholic, and phlegmatic. Different types of personality caused by differences in the dominant fluid in the body. These differences will result in terms of behavior, ways of thinking and to get along. The type of this research that is descriptive qualitative which it is describing the logical reasoning based on Hippocrates personality types. The logical reasoning is analyzed through the four types of personality in relation to mathematical problem solving. The Analysis is done based on the logical reasoning indicator/ subindicator and the steps of problem solving stated by Polya. The result shows that there is a reasoning difference on each type of personalities. The difference can be terms of the strenght or the weakness. Sanguine is quicker in understanding problems and communicating results, choleric is more accelerated in work, melancholic is more perfect at work, and  phlegmatic is superior in terms of accuracy. Keywords: Logical reasoning, Hippocrates, sanguine, choleric, melancholic, phlegmatic

scholarly journals PENDEKATAN MATEMATIKA REALISTIK UNTUK MEMBANGUN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA KELAS XI IPS PADA MATERI PELUANG [REALISTIC MATHEMATICS EDUCATION IN BUILDING THE MATHEMATICS PROBLEM-SOLVING ABILITIES OF GRADE 11 SOCIAL SCIENCE TRACK STUDENTS STUDYING PROBABILITY]

2019 ◽  
Vol 2 (2) ◽  
pp. 119
Author(s):  
Susiana Juseria Tambunan ◽  
Debora Suryani Sitinjak ◽  
Kimura Patar Tamba
Keyword(s):  
Problem Solving ◽  
Social Science ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematics Problem Solving ◽  
Realistic Mathematics ◽  
Mathematical Problems ◽  
Mathematic Education ◽  
Realistic Mathematic ◽  
Grade 11

<p>This research aims to build students’ abilities in mathematical problem-solving and to explain the uniqueness of the steps of realistic mathematic education in building the problem-solving abilities of a grade 11 (social science track) class in the study of probability at one of the schools in Kupang. The observation results found that every student was having difficulties to solving the mathematical problems, particularly the narrative questions. The research method is Kemmis and Taggart model of Classroom Action Research which was conducted in three cycles, from October 4 to November 3 with twenty-four students. Triangulation had been done to every instrument of variable. The data of mathematical problem-solving was obtained from the students by using test sheets, questionnaires, and student’s discussion sheets. Meanwhile, the data of realistic mathematic education’s variable was obtained from three sources: mentors, two colleagues, and students that were using test sheets, questionnaires, and student’s discussion sheets. The results showed that the fourteen-steps of Realistic Mathematic Education that had been done were able to build mathematical problem-solving abilities of the students. This was evidenced through the increase of three indicators of mathematical problem-solving in every cycle. The average increase of indicators of mathematical problem-solving of the grade 11 students from the first to the third cycle was 10%. Therefore, it can be concluded that the Realistic Mathematics Approach can build the ability of problem-solving of grade 11 students in a social science track studying probability at one of the schools in Kupang.</p><strong>BAHASA INDONESIA </strong><strong>ABSTRACT</strong>: Penelitian ini bertujuan untuk membangun kemampuan pemecahan masalah matematis siswa dan menjelaskan kekhasan langkah-langkah pendekatan matematika realistik untuk membangun kemampuan tersebut di salah satu sekolah di Kupang kelas XI IPS pada materi peluang topik kaidah pencacahan. Pada hasil pengamatan ditemukan bahwa setiap siswa kesulitan dalam memecahkan masalah matematis khususnya soal berbentuk cerita. Metode penelitian yang digunakan adalah Penelitian Tindakan Kelas model Kemmis dan Taggart yang berlangsung selama tiga siklus, yaitu 04 Oktober – 03 November kepada 24 orang siswa. Triangulasi dilakukan pada setiap instrumen variabel. Data variabel kemampuan pemecahan masalah matematis diperoleh dari siswa menggunakan lembar tes, lembar angket, dan lembar diskusi siswa. Sedangkan data variabel tingkat pelaksanaan pendekatan matematika realistik diperoleh dari tiga sumber, yaitu mentor, dua orang rekan sejawat, dan siswa menggunakan lembar observasi, lembar angket, dan lembar wawancara. Hasil penelitian menunjukkan bahwa keempat belas langkah-langkah pendekatan matematika realistik yang terlaksana dengan baik sekali mampu membangun kemampuan pemecahan masalah matematis setiap siswa kelas XI IPS di salah satu sekolah di Kupang. Hal ini dinyatakan melalui peningkatan ketiga indikator pemecahan masalah matematis di setiap siklus. Peningkatan rata-rata indikator pemecahan masalah matematis siswa kelas XI IPS dari siklus pertama sampai ketiga adalah sebesar 10%. Oleh karena itu, dapat disimpulkan bahwa pendekatan matematika realistik dapat membangun kemampuan pemecahan masalah matematis siswa kelas XI IPS di salah satu sekolah di Kupang pada materi peluang topik kaidah pencacahan.

scholarly journals Pengaruh Model Pembelajaran E-learning Berbantuan Media Pembelajaran Edmodo Terhadap Kemampuan Pemecahan Masalah Matematis Peserta Didik

2019 ◽  
pp. 31-42
Author(s):  
Hanifah Hanifah ◽  
Nanang Supriadi ◽  
Rany Widyastuti
Keyword(s):  
Problem Solving ◽  
Quantitative Research ◽  
Mathematical Problem ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Learning Material ◽  
Learning Models ◽  
Mathematical Problems ◽  
E Learning ◽  
Initial Knowledge

Mathematical problem solving is a problem solving that uses mathematical problem solving. Students in the problem solving did not use the polya method so that students succeeded in difficulties. Educators still use conventional learning models so that students become bored, passive and reluctant to ask whether going forward working on the questions given by the educator, so that new learning models need to be applied. The e-learning learning model assisted with Edmodo learning media is an online presentation material on an Edmodo account using the mobile phone of students. PAM is the knowledge learned by students before getting learning material. This study aims to study the interaction of e-learning learning models assisted by Edmodo learning media to solve mathematical problems. This study is quantitative research. Data collection used with tests, interviews, collection and collection. The data analysis technique uses two-way anava test with cells that are not the same. From the results of the analysis, the influence of the e-learning learning model on mathematical problem solving abilities. It is necessary to question the high, medium, and low mathematical initial knowledge of Great mathematical problem solving ability, then there is no difference between assisted e-learning learning models edmodo, mathematical initial knowledge of mathematical problem solving abilities.

scholarly journals Pengembangan Local Instructional Theory Pada Topik Pembagian dengan Pendekatan Matematika Realistik

2020 ◽  
Vol 4 (1) ◽  
pp. 01
Author(s):  
Ahmad Fauzan ◽  
Yerizon Yerizon ◽  
Fridgo Tasman ◽  
Rendy Novri Yolanda
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Problem Solving Skills ◽  
Realistic Mathematics ◽  
Mathematical Problems ◽  
Parametric Statistics ◽  
Instruction Theory ◽  
Local Instruction Theory

This research aimed to develop local instruction theory that is valid, practical, and effective to help elementary school students developing their mathematical problem-solving skills. Therefore a sequential activityis design on dailybasis to encourage students to develop their ability to solve mathematical problems, especially on the topic division. To achieve the goal, realistic mathematics approach was implemented to grade three elementary students in the learning process. The designed activities were validated by experts on the aspects of mathematical contents, language, didactical process based on realistic mathematical approach. Data were analyzed with descriptive statistics and parametric statistics. The validation results show that the local instruction theory was valid, and the implementation shows that the local instruction theory is practical and effective in improving students' mathematical problem-solving skills.

scholarly journals Examining Mathematical Problem-Solving Beliefs among Rwandan Secondary School Teachers

2021 ◽  
Vol 20 (7) ◽  
pp. 227-240
Author(s):  
Aline Dorimana ◽  
Alphonse Uworwabayeho ◽  
Gabriel Nizeyimana
Keyword(s):  
Problem Solving ◽  
Secondary School Teachers ◽  
Mathematics Classroom ◽  
Mathematical Problem ◽  
Real Life ◽  
Mathematical Problem Solving ◽  
Teachers Beliefs ◽  
Mathematical Problems ◽  
Teacher Professional

This study explored teachers' beliefs about mathematical problem-solving. It involved 36 identified teachers of Kayonza District in Rwanda via an explanatory mixed-method approach. The findings indicate that most teachers show a positive attitude towards advancing problem-solving in the mathematics classroom. However, they expose different views on its implementation. Role of problem-solving, Mathematical problems, and Problem-solving in Mathematics were identified as main themes. Problem-solving was highlighted as an approach that helps teachers use time adequately and helps students develop critical thinking and reasoning that enable them to face challenges in real life. The study recommends teacher professional development initiatives with their capacity to bring problem-solving to standard.

scholarly journals IMPLEMENTATION OF GEOGEBRA HELP INKUIRI METHOD TO INCREASE ABILITY OF MATHEMATICAL PROBLEMS CLASS STUDENTS XI-TEI B SMK IT DEVELOPMENT OF CIMAHI CITY ON MATERIALS RULES OF SINUS AND COSINUS

2018 ◽  
Vol 1 (1) ◽  
pp. 27
Author(s):  
Dena Handriana ◽  
Rosalina Rolina ◽  
Asep Mulyana
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Test Results ◽  
Test Cycle ◽  
Average Value ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Inquiry Method ◽  
Academic Year

This research is an action research study . The problem formulated in this research is whether through geographical assisted inquiry method , mathematical problem solving ability of students of class XI-TEI B SMK TI Development on the material of sinus and cosine rules can be improved? The aim is to examine the improvement of problem solving ability of students of class XI-TEI B SMK IT Development of Cimahi through geogebra assisted inquiry method .This research was conducted on the students of class XI-TEI B SMK IT Development Cimahi academic year 2017-2018 with the number of students 24 people. The instrument used is a test of learning outcomes as a test of students' mathematical problem solving abilities of the sin and cosine rules, cycle I , II and II tests (after giving of action) and observation sheet for teachers and students for the conditions of action implementation. R prosedu study consisted of: (1) planning, (2) p elaksanaa n action, (3) observation and evaluation, and (4) r efleksi. The average value of the results of the test cycle II, which is 30 , 25 increased by 16.17 compared to the average value of the results of the test cycle I, namely 14.08. And the average value of the third cycle test results that is 76 , 75 increased by 46.50. Based on the performance indicators, it is concluded that the mathematical problem solving ability of students of class XI-TEI B SMK TI Pembangunan Cimahi on the material of sinus and cosine rules can be improved through geogebra assisted inquiry method .

scholarly journals Characteristics of Students’ Intuitive Thinking in Solving Mathematical Problems

2019 ◽  
Vol 3 ◽  
pp. 48-57
Author(s):  
Maria Ulpah
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Teaching Experience ◽  
Mathematical Problem Solving ◽  
Problem Solution ◽  
Important Thing ◽  
Cognitive Mediation ◽  
Intuitive Thinking ◽  
Mathematical Problems ◽  
Alternative Solutions

Intuition is one of important thing in the process of solving mathematical problems. It works as cognitive mediation. In this understanding, intuition can be made as a bridge to students' understanding so that it can be accessed in linking imagined objects with the desired alternative solutions. In other words, students can determine what strategies or steps should be taken to get a problem solution, especially contextual problems that have completion steps that cannot be accessed directly. Intuitive thinking often occurs in mathematical problem solving. This was also seen in the mathematical students of IAIN Purwokerto. Based on the teaching experience so far, it was found that many students gave spontaneous answers without analyzing first. So, the researcher studied how characteristics of students’ intuitive thinking are. This research used qualitative with descriptive-exploratory type of research and used test to identify the characteristics of students’ intuitive thinking in solving mathematical problems. Results showed that students’ characteristics consisted of extrapolative, implicitly, persistently, coercively, and the power of synthesis.

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