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 The description of students’ mathematical problem-solving skill and self-regulation

2017 ◽  
Vol 2 (1) ◽  
pp. 38
Author(s):  
Ani Nurwijayanti ◽  
Akhmad Jazuli ◽  
Erni Widyastuti
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Mathematical Problem Solving ◽  
Term Result ◽  
Mathematics Problem Solving ◽  
Significant Difference ◽  
Mathematical Problems ◽  
Data Source ◽  
Mathematics Problem

<p class="Abstract">The research aimed to describe the students’ mathematics problem-solving skill and self-regulation in <em>SMP Negeri 8 Purwokerto</em> used Miles and Huberman’s model of cover reduction, serve, and conclusion. The data source of this research were eight graders of class F by using purposive sampling. The students grouped into three categories according to the mid-term result. The categories were: high, mediocre, and low scores. The data was collected using tests, questionnaire, interview, and documentation. This research concluded that the students’ mathematics problem-solving skill from those three categories was different. The high score students’ group had a better problem-solving skill compared to the students in the mediocre or the low categories. However, the self-regulation from these three groups did not have a significant difference. It was still at the developing level. Thus, it could be concluded that the students’ self-regulation did not affect the ability to solve mathematical problems.</p>

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 Relation between Pupils’ Mathematical Self-Efficacy and Mathematical Problem Solving in the Context of the Teachers’ Preferred Pedagogies

2020 ◽  
Vol 12 (23) ◽  
pp. 10215
Author(s):  
Vlastimil Chytrý ◽  
Janka Medová ◽  
Jaroslav Říčan ◽  
Jiří Škoda
Keyword(s):  
Problem Solving ◽  
Self Efficacy ◽  
Primary Schools ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Significant Difference ◽  
Montessori Schools ◽  
Mathematical Problems ◽  
The Difference ◽  
And Performance

In research focused on self-efficacy it is usually teacher-related phenomena that are studied, while the main aspects related to pupils are rather neglected, although self-efficacy itself is perceived as a belief in one’s own abilities. Evidently, this strongly influences the behavior of individuals in terms of the goal and success in mathematical problem-solving. Considering that alternative teaching methods are based on the principle of belief in one’s own ability (mainly in the case of group work), higher self-efficacy can be expected in the pupils of teachers who use predominantly the well-working pupil-centered pedagogies. A total of 1133 pupils in grade 5 from 36 schools in the Czech Republic were involved in the testing of their ability to solve mathematical problems and their mathematical self-efficacy as well. Participants were divided according to the above criteria as follows: (i) 73 from Montessori primary schools, (ii) 332 pupils educated in mathematics according to the Hejný method, (iii) 510 pupils from an ordinary primary school, and (iv) 218 pupils completing the Dalton teaching plan. In the field of mathematical problem-solving the pupils from the Montessori primary schools clearly outperformed pupils from the Dalton Plan schools (p = 0.027) as well as pupils attending ordinary primary schools (p = 0.009), whereas the difference between the Montessori schools and Hejný classes was not significant (p = 0.764). There is no statistically significant difference in the level of self-efficacy of pupils with respect to the preferred strategies for managing learning activities (p = 0.781). On the other hand, correlation between mathematical problem-solving and self-efficacy was confirmed in all the examined types of schools. However, the correlation coefficient was lower in the case of the pupils from the classes applying the Hejný method in comparison with the pupils attending the Montessori schools (p = 0.073), Dalton Plan schools (p = 0.043), and ordinary primary schools (p = 0.002). Even though the results in mathematical problem-solving are not consistent across the studies, the presented results confirm better performance of pupils in some constructivist settings, particularly in the case of individual constructivism in the Montessori primary schools. The factors influencing lower correlation of self-efficacy and performance in mathematical problem-solving ought to be subject to further investigation.

scholarly journals PENDEKATAN METAKOGNITIF DALAM PEMBELAJARAN MATEMATIKA UNTUK PENCAPAIAN KEMAMPUAN KONEKSI DAN PEMECAHAN MASALAH MATEMATIK SISWA SMA

2014 ◽  
Vol 6 (2) ◽  
pp. 115 ◽  
Author(s):  
Desy Ayu Nurasyiyah
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Attitude Scale ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Learning Mathematics ◽  
Significant Difference ◽  
Post Test ◽  
Quasi Experimental ◽  
Mathematical Problems

Background of the investigation is the process involves the full awareness of the learning process is still lacking. As a result, the level of attainment of students' mathematical ability is still not meet the minimum level of mastery learning expected. Among the abilities are still lacking is the ability to connect and solving mathematical problems. This study implements mathematical learning with metacognitive approach and want to see its effect on the attainment of connection capability and mathematical problem solving. The purpose of this study was to see impact of learning mathematics with metacognitive approach to the attainments of students in connection and mathematical problem solving ability. as well as how the students' response to this study. The method used is the method Quasi-experimental when the design is the only post respons control group. Participants of this study were students of class X in High School, is located in  Bandung district. Instruments used in the research is a matter of post test connection and problem solving ability, then used also student attitude scale, students daily journal, observation and interview guides. Based on the results we concluded that there was no significant difference to the attainment of the connection and mathematical problem solving ability. Being from the results of the questionnaire, the students daily journal, observation and interviews showed a positive response to the learning of mathematics with metacognitive approach.

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 IMPROVEMENT OF MATHEMATICAL PROBLEM SOLVING ABILITIES USING MISSOURI MATHEMATICS PROJECT LEARNING MODEL

2019 ◽  
Vol 7 (1) ◽  
pp. 1539-1549
Author(s):  
Joy Frandero Yoni Astra Pasaribu ◽  
Louise M Saija
Keyword(s):  
Problem Solving ◽  
Small Group ◽  
Mathematical Problem ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Mathematics Problems ◽  
Life Problems ◽  
Significant Difference ◽  
Questionnaire Result ◽  
Problem Solve

Introduction: Mathematical problem solving ability is very important in mathematic learning, because is can help students to solve daily life problems better. But the students mathematical problem solve ability is not high yet, one of the factor is because many students only know the standard procedures of solving mathematics problems, and when the given problem are different from the examples they tend to give up easily. This comparative design study aims to find out the improvement of students mathematical problem solving ability using Missouri Mathematics Project (MMP) learning model with individual assignments and small group assignments, and to find out whether there are differences between those two. Method: The sample in this study was VII grade students at SMP Advent Cimindi and SMP Advent II Bandung, Bandung. The instruments used in the study are mathematical problem solving test and questionnaire for response toward the Missouri Mathematics Project (MMP) learning model as the non-test instrument. Result: The results showed that the improvement of mathematical problem solving abilities of students who obtained the Missouri Mathematics Project (MMP) learning model with individual assignments and students who obtained the Missouri Mathematics Project (MMP) learning model by assigning small groups was categorized as high. Statistically, there is a significant difference in the students mathematical problem solving improvement after being taught using Missouri Mathematics Project (MMP) learning model, between students who get individual assignments and small group assignments. The response questionnaire result shows that students who acquire individual assignments like the Missouri Mathematics Project (MMP) learning model, more further the students who acquire group assignments really like the Missouri Mathematics Project (MMP) learning model.

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.

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