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

Author(s):  
Ani Nurwijayanti ◽  
Akhmad Jazuli ◽  
Erni Widyastuti

<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>

2019 ◽  
Vol 2 (2) ◽  
pp. 119
Author(s):  
Susiana Juseria Tambunan ◽  
Debora Suryani Sitinjak ◽  
Kimura Patar Tamba

<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.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 211-220
Author(s):  
NILA NURCAHYANING KUSUMAWARDANI ◽  
RADEN SULAIMAN

Critical thinking is a thinking process in processing information logically starti from understanding, analyzing, evaluating and making precise conclusions. Critical thinking indicators are clarification, assessment, inference, and strategy that referred to Jacob and Sam. Mathematics is designed to improve students' critical thinking in a solving problem. One of the factors that affect students' critical thinking in solving a problem is AQ. This research is descriptive study with qualitative approach. The aim is to describe critical thinking profile of climber, camper, and quitter students in solving mathematical problems. The subjects were three students of VIII grade junior high school who represented each AQ category and had good communication skills. The instrument used was the ARP questionnaire, mathematics problem solving tests, and interview guidelines. The results shows that students’ critical thinking profile in understanding the problem is climber and camper student do all indicators of critical thinking in the clarification phase. Quitter student is only able mentioning known and asked information. In devising a plan, climber student implements all indicators of assessment and strategy phase. Camper student implements all indicators in assessment phase, but do not discuss the possible steps in strategy phase. Quitter student does not do both assessment and strategy phase. In carrying out the plan, climber and camper students do all indicators of inference phase, while quitter student does not. In the step of looking back, only climber student who carries out evaluating steps that have been done. Keywords: Jacob and Sam’s critical thinking, mathematical problem solving, adversity quotient


2021 ◽  
Vol 2 (1) ◽  
pp. 129
Author(s):  
Rahayu Sri Ningsih ◽  
Mohamad Rif'at ◽  
Agung Hartoyo

This research aims to know between emotional intelligence and mathematic’s problem-solving in students grade 8th in MTs. Al-Fathaanah Mempawah. This research used the correlation to be method and use the Pearson product moment’s formula to processing data. Twenty-one students are samples of this research, and they are select by using purposive sampling. The data collection technique in this research is using problem-solving and indirect communication that was using an emotional intelligence questionnaire. This research is the connection of emotional intelligence with mathematics problem-solving students grade 8th on MTs. Al-Fathaanah Mempawah, with r = 0.45 and the correlation classified is average. Keywords: Emotional Intelligence, Mathematical Problem Solving Ability


MaPan ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 280
Author(s):  
Ahmad Aas Syamsuadi ◽  
A. Aspar ◽  
Andi Alim Syahri

This study aims to describe and determine students' abilities to solve mathematical problems that focus on visual and auditory learning styles. Subjects are eighth-grade students from junior high school in Bulukumba district. This research is descriptive qualitative, which seeks to determine and describe the mathematical problem solving ability in terms of student learning styles. Data is collected using questionnaires, tests, and interviews. The use of questionnaires describes visual learning styles and auditory learning styles. Two numbers of the test determine mathematics problem solving ability in Polya's step, and interviews confirm mathematics problem solving ability. The data analysis techniques are reduction, presentation, and verification. Based on the results, the first subject with a visual learning style can fulfill all the indicators of Polya's steps, but another one is just three indicators. The first subject with an auditory learning style can meet all Polya's steps, but the other can fulfill three indicators.


2020 ◽  
Vol 2 (1) ◽  
pp. 1
Author(s):  
Fevi Rahmadeni

Like the human body, problem solving is the heart of mathematics. Problem solving ability is a capital for students to develop and explore themselves further in mathematics learning. This article aim to explain the development of students' mathematical problem solving abilities through Habit of Thinking Interdependently (HTI). This type of research is literature review where the authors analyze and draw conclusions from several relevant references related to HTI. HTI the attitude of students towards learning mathematics in the form of the habit of thinking together in groups. The conclusions obtained indicate that students' mathematical problem solving abilities can be developed through HTI.


2020 ◽  
Vol 12 (23) ◽  
pp. 10215
Author(s):  
Vlastimil Chytrý ◽  
Janka Medová ◽  
Jaroslav Říčan ◽  
Jiří Škoda

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.


2018 ◽  
Vol 1 (2) ◽  
pp. 16-21
Author(s):  
Chao Yang ◽  
Zhenlai Han ◽  
Shurong Sun

The core competency of mathematics has always been a hot issue in the education field. The ability to solve problems in mathematics is also an indispensable ability to learn mathematics problem solving. The Polya problem solving table has an important guiding role for mathematics problem solving. Simplify the Polya problem-solving form to make it more suitable for high school teaching. Through the Polya problem-solving table, the cultivation of mathematical core competency is integrated into the process of mathematical problem-solving for our mathematics teaching and promote the development of students' mathematical core competency.


2017 ◽  
Vol 31 (57) ◽  
pp. 310-322 ◽  
Author(s):  
Abdul Halim Abdullah ◽  
Sharifah Nurarfah S. Abd Rahman ◽  
Mohd Hilmi Hamzah

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.


Author(s):  
Rachel Lambert ◽  
Rachel Schuck

AbstractThis paper presents a case study of the experiences of a special educator named Ms. Montes (pseudonym) teaching standards-based mathematics during Emergency Remote Teaching (ERT) during spring 2020. Ms. Montes was interviewed twice during this period; data were analyzed through inductive thematic analysis. Pre-COVID, Ms. Montes provided her students daily opportunities to tackle challenging mathematical problems and taught self-regulation strategies for students to better understand themselves as learners. After the shift to ERT, Ms. Montes described “the wall between us” as various barriers that made teaching mathematics online far more challenging. Challenges included supporting students with productive struggle when not physically present with them and supporting student self-regulation during mathematical problem-solving. Supporting students with disabilities to learn mathematics during ERT and distance learning will require considering emotional and affective dimensions of learning. Coaching students and families in self-regulation strategies could support student engagement in mathematical problem-solving in online learning.


HUMANIKA ◽  
2021 ◽  
Vol 21 (1) ◽  
pp. 1-16
Author(s):  
Ati Lasmanawati

Artikel mengkaji strategi pembelajaran self-regulation dalam mengembangkan kemampuan pemecahan masalah matematika. Self-regulation merupakan sebuah proses belajar individu melalui faktor lingkungan (environment), faktor pribadi (person) dan faktor perilaku (behavior). Komponen kemampuan self-regulation terdiri atas komponen kognitif, motivasi dan metakognisi. Pada kegiatan pembelajaran khususnya pada mata pelajaran matematika, peserta didik harus mempelajari kemampuan berpikir kritis dan kemampuan memecahkan masalah dari fakta-fakta yang sudah ada (learn by doing). Strategi pembelajaran self-regulation adalah suatu strategi pembelajaran yang memberikan keleluasaan kepada peserta didik untuk mengelola secara efektif pembelajarnya sendiri dalam berbagai cara sehingga mencapai hasil belajar yang optimal. Penerapan strategi pembelajaran self-regulation terhadap peserta didik, akan memberikan dampak pada pengembangan kemampuan pemecahan masalah matematika. Peserta didik yang memiliki self-regulation, akan memiliki motivasi yang lebih besar dalam belajar dan memecahkan masalah matematika. This article examines self-regulation learning strategies in developing mathematical problem-solving abilities. Self-regulation is an individual learning process through environmental factors, personal factors and behavioral factors. The component of self-regulation ability consists of cognitive, motivation and metacognition components. In learning activities, especially in mathematics, students must learn the ability to think critically and the ability to solve problems from the facts that already exist (learn by doing). Self-regulation learning strategy is a learning strategy that gives students the freedom to effectively manage their own learners in various ways so as to achieve optimal learning outcomes. The application of self-regulation learning strategies to students will have an impact on the development of mathematical problem solving abilities. Students who have self-regulation, will have greater motivation in learning and solving mathematical problems.


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