scholarly journals Students’ Mathematical Connection Error in Solving PISA Circle Problem

2020 ◽  
Vol 8 (2) ◽  
pp. 76
Author(s):  
Vivi Rachmatul Hidayati ◽  
Subanji Subanji ◽  
Sisworo Sisworo

<p>The mathematical connection is one of the competencies in NCTM that students need to have. Mathematical connections can help students understand material and mathematical concepts easily. In addition, mathematical connections can help students in solving mathematical problems. Even so, mathematical connection errors are still made by some students. Mathematical connection errors made by students when solving geometry problems, especially about a circle. The purpose of this study is to describe the mathematical connection errors made by students in solving problems adapted from PISA problems focusing on circle material. This research method is descriptive-qualitative. Prospective subjects are 20 of 8th-grade students in one of the junior high schools in Malang who have studied about a circle. Based on the distribution of answers, two subjects were selected in this study. After going through the interview process, the data obtained in the form of work results and interview transcripts. Based on the results of research, mathematical connection errors made by research subjects in the form of not being able to use mathematics in mathematical problems; can't find connections between topics in mathematics; unable to understand the representation of concepts in mathematical problems, and draw relationships between procedures on mathematical problems</p>

2018 ◽  
Vol 1 (6) ◽  
pp. 1079
Author(s):  
Nur Hasanah ◽  
Devi Yuliani ◽  
Eva Dwi Minarti ◽  
Euis Eti Rohaeti

The ability of mathematical connections is an essential skill that must be mastered by high school students, as it will help master understanding of meaningful concepts and help solve mathematical problems through the interrelationship between mathematical concepts and between mathematical concepts and concepts in other disciplines even with applications in real-life students. This study aims to examine the ability of mathematical connections of students in one junior high school in Bandung on Social Arithmetic materials. The method used in this study is descriptive qualitative, with the subject of research is 36 students of class VIII in one of the State Junior High School in Bandung. Instrument given in the form of description test as much as 3 problem each representing indicator ability and analyzed so that get data fulfillment indicator ability of mathematic connection. Based on the data analysis, the students 'mathematical connection ability is still low, so it is necessary to design the learning activities that can facilitate students' mathematical connection ability.


2019 ◽  
Vol 4 (2) ◽  
pp. 1
Author(s):  
Fitri Jannatul Laili ◽  
Ratih Puspasari

<p class="MsoNormal" style="margin-top: 0cm; margin-right: 27.2pt; margin-bottom: .0001pt; margin-left: 35.45pt; text-align: justify; tab-stops: 92.15pt 411.1pt;"><em><span style="font-size: 11.0pt;">This study aims to discribe what are the difficulties of learning mathematics experienced which students in terms of mathematical connections ability class VIII MTs. darul Falah Bendiljati. This research is a descriptive qualitative research using test and interview method. Research subjects randomly selected as many as 30 students from two classes. The results showed that each student has difficulty learning mathematics in terms of mathematical connection capabilities are: (1) Less understanding of mathematical concepts that have been studied; (2) Not connecting mathematical concepts to be studied with previously known concepts; (3) Quicly forgot a mathematical concept he did not understand; (4) The habit of learning by understanding the concept, so when given a slightly different matter the students find it difficult; (5) Consider mathematics as a science that interconnects one and other concepts seperately; (6) Less aware of the benefits of consepts in mathematics to support and improve his ability in other fields of science; (7) Understanding concepts  that are not applied directly to life, so the concept of mathematics is a concept in a mathematics only and not used or in connect with daily life.</span></em></p><p class="MsoNormal" style="margin-left: 35.45pt; text-align: justify; text-indent: -1.45pt;"><em><span style="font-size: 11.0pt;"> </span></em></p><p class="MsoNormal" style="margin-top: 0cm; margin-right: 26.05pt; margin-bottom: .0001pt; margin-left: 35.45pt; text-align: justify; tab-stops: center 7.0cm right 14.0cm;"><strong><em><span style="font-size: 11.0pt;">Keywords</span></em></strong><em><span style="font-size: 11.0pt;">: difficulty learning, mathematics connection ability</span></em></p><p class="MsoNormal" style="margin-left: 42.55pt; text-align: justify; text-indent: -42.55pt;">Anandita, Gustine. P. 2015. <em style="mso-bidi-font-style: normal;">Analisis Kemampuan Koneksi Matematis siswa SMP Kelas VIII pada Materi Kubus dan Balok</em>. Skripsi tidak dipublikasikan. Semarang: Uiversitas Negeri Semarang.</p><p class="MsoNormal" style="margin-left: 42.55pt; text-align: justify; text-indent: -42.55pt; line-height: 150%; mso-layout-grid-align: none; text-autospace: none;">NCTM. 2000. <em>Principles and standars for school mathematics</em>. USA : The National Council of Teachers of Mathematics, Inc.</p><p class="MsoNormal" style="text-align: justify; line-height: 150%; mso-layout-grid-align: none; text-autospace: none;">Poespoprodjo. 1999. <em>Logika Ilmu Menalar</em>. Bandung: Pustaka Grafika.</p><p class="MsoNormal" style="margin-left: 35.45pt; text-align: justify; text-indent: -35.45pt; tab-stops: 0cm; mso-layout-grid-align: none; text-autospace: none;"><span style="mso-bidi-font-weight: bold;">Kuswana, Wowo Sunaryo. 2011. <em style="mso-bidi-font-style: normal;">Taksonomi Berpikir. </em>Bandung: PT. Remaja Rosdakarya.</span></p><p class="MsoNormal" style="margin-left: 42.55pt; text-align: justify; text-indent: -42.55pt; mso-layout-grid-align: none; text-autospace: none;">Suherman, H.L.E., et al. 2003. <em>Strategi pembelajaran matematika kontemporer (Rev.ed.)</em>.Bandung: JICA Universitas Pendidikan Indonesia.</p><p class="MsoNormal" style="text-align: justify; mso-layout-grid-align: none; text-autospace: none;"> </p><p class="MsoNormal" style="margin-left: 42.55pt; text-align: justify; text-indent: -42.55pt; mso-layout-grid-align: none; text-autospace: none;">Septiati, E. 2012<em style="mso-bidi-font-style: normal;">. Kefektifan pendekatan konstruktivisme terhadap kemampuan koneksimatematis mahasiswa pada mata kuliah analisis real I</em>, (Online), <!--[if supportFields]><u><span style='mso-element:field-begin'></span><span style='mso-spacerun:yes'> </span>&quot;http://eprints.uny.ac.id/id/eprint/7568&quot; <span style='mso-element:field-separator'></span></u><![endif]--><span style="text-decoration: underline;"><span class="MsoHyperlink">http://eprints.uny.ac.id/id/eprint/7568</span></span><!--[if supportFields]><u><span style='mso-element:field-end'></span></u><![endif]-->, diakses tgl 09 Februari 2017.</p><p class="MsoNormal" style="margin-left: 42.55pt; text-align: justify; text-indent: -42.55pt; mso-layout-grid-align: none; text-autospace: none;">Sugiman. 2008.<span style="mso-spacerun: yes;">  </span><em style="mso-bidi-font-style: normal;">Koneksi Matematika Dalam Pembelajaran Matematika di Sekolah Menengah Pertama.</em> (Online). Jounal.uny.ac.id. diakses 15 Mei 2017.</p><p class="MsoNormal" style="margin-left: 42.55pt; text-align: justify; text-indent: -42.55pt;">Yuniawatika. 2011.<em style="mso-bidi-font-style: normal;"> Penerapan pembelajaran matematika dengan strategi REACT untuk meningkatkan kemampuan koneksi dan representasi matematika siswa sekolah dasar [Versi electronik].</em><span style="mso-bidi-font-style: italic;">Edisi Khusus</span>, 2, 107-120</p><p class="MsoNormal" style="text-align: justify; mso-layout-grid-align: none; text-autospace: none;"> </p>


Author(s):  
Baiduri Baiduri, Arif Hidayatul Khusna, Mar’atus Solikhah

The purpose of this study was to describe the process of students' mathematical connections in solving mathematical problems in terms of learning styles. The type of research used is descriptive research with a qualitative approach. The research subjects were six students consisting of two students who have a visual learning style, two students who have an auditory learning style, and two students who have a kinesthetic learning style. Student learning style data were collected through learning style questionnaires, while student connection process data were collected through mathematical connection test sheets and interviews. Data credibility is done by triangulating sources and methods. Data from the six subjects consisting of two students for each of these learning styles were described and categorized from the same, different, and specific views. The subjects obtained from the results of the learning style questionnaire were compared using the results of the mathematical connection test and interviews. Data analysis was guided by four steps to solve Polya's problems and was carried out in three stages, namely data condensation, data presentation, and conclusions. The results showed that there are differences in the mathematical connection process carried out by students who have visual, auditory, and kinesthetic learning styles in the step of understanding the problem. However, there are similarities in the mathematical connection process carried out by students who have visual and kinesthetic learning styles at the step of compiling a completion plan and checking again. while students who have a different auditory learning style from students who have visual and kinesthetic learning styles in implementing the completion plan and re-checking. The process of mathematical connection of students who have an auditory learning style at the step of checking back cannot be seen, because these students do not take this step when solving problems. Researchers suggest that teachers need to accustom students to connecting mathematics both internally and externally and pay attention to the emphasis of the material given to students so that students' mathematical connections are more developed. because the student did not take this step when solving the problem. Researchers suggest that teachers need to accustom students to connecting mathematics both internally and externally and pay attention to the emphasis of the material given to students so that students' mathematical connections are more developed. because the student did not take this step when solving the problem. Researchers suggest that teachers need to accustom students to connecting mathematics both internally and externally and pay attention to the emphasis of the material given to students so that students' mathematical connections are more developed.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 241-250
Author(s):  
Jumrotul Mafulah ◽  
Siti Maghfirotun Amin

Mathematical connection ability is one of the abilities needed in solving mathematical problems. In solving problems, each student has a different way of solving it. This is due to the variety of intelligence that the students possess. This intelligence is known as Adversity Quotient (AQ). There are three levels of AQ namely climbers, campers, and quitters. This study aimed to describe the students' mathematical connections ability in solving mathematical problems related to their AQ. This research is a descriptive study with a qualitative approach carried out in Class IX of MTs Negeri Gresik consisting of three students who have different levels of AQ. The research instrument used consisted of the Adversity Response Profile (ARP) questionnaire, problem solving Test, and interview guidelines. The results of this study indicate that: at the stage of understanding the problem, climbers and campers students could retell with their language different from quitters students who change the language of questions with different meanings, at the stage of preparing a plan, climbers students understand the relationship of problems with mathematical concepts and life everyday and plan quite coherently and clearly while students campers and quitters understand the relationship of problems with mathematical concepts and everyday life and plan quite well, at the stage of implementing the plan, climbers and campers students could find the right answers while students quitters find the answers that are not yet correct, in the stage of looking back, climbers students do the checking again so that they could give the right conclusions while the campers and quitters students do not do the checks again but could provide conclusions that are quite precise. Keywords: Mathematical connection ability, mathematical problems, problem solving, adversity quotient 


2020 ◽  
Vol 14 (2) ◽  
pp. 129-144
Author(s):  
Didik Sugeng Pambudi ◽  
I Ketut Budayasa ◽  
Agung Lukito

Problem-solving and mathematical connections are two important things in learning mathematics, namely as the goal of learning mathematics. However, it is unfortunate that the ability of students 'mathematical connections is very low so that it impacts on students' failure in solving mathematical problems. The writing of this paper aims to discuss the understanding of mathematical problems, mathematical problem solving, mathematical connections, and how they play a role in solving mathematical problems. The method used in writing this paper is a method of studying literature, which is reinforced by the example of a qualitative research result. The research subjects consisted of two eighth grade students of junior high school in Jember East Java, Indonesia, in 2017/2018. The research data consisted of written test results solving the mathematical problem as well as interview results. Data analysis uses descriptive qualitative analysis. From the results of literature studies and research results provide a conclusion that mathematical connections play an important role, namely as a tool for students to use in solving mathematical problems where students who have good mathematical connection skills succeed in solving mathematical problems well, while poor mathematical connection skills cause students to fail in solving mathematical problems.


2020 ◽  
Vol 4 (2) ◽  
pp. 118-129
Author(s):  
Nur Fajar Arief ◽  
Akhmad Tabrani

Sustainable professional development of pedagogic teachers is a strategic effort to improve the competence and performance of teachers in carrying out their duties and functions as planners, implementers, and evaluation of learning in  the classroom. This research aims to examine the improvement of innovative, creative, adaptive, and productive quality of PBI based on Indonesian text and character through the SKBP model of teachers in junior high schools and MTs. This research was  conducted using qualitative approach with survey type. The research subjects were PBI teachers in 6 junior high schools and MTs selected research target locations by using random patterns of strata. Descriptive data of 5 research objects obtained by researchers as a key instrument with interview techniques, questionnaires, and focused observations. Data analysis was carried out using a flow model during the study.  The development models used are  R2D2 model: Recursive, Reflective Instructional Design and Development  and Oxford training strategy model. The assessment of the effectiveness of the SKBP model was carried out using a qualitative approach with the type of class action research of the Kemmis and Taggart models. The research subjects were PBI teachers and grade VIII students at 6 junior high schools in Malang districts and cities. Further data analysis is done descriptively, including (1) improvement of pbi process based on Indonesian text and character using SKBP model and (2) improvement of PBI results based on Indonesian text and character using SKBP model.


2021 ◽  
Vol 4 (1) ◽  
pp. 59-76
Author(s):  
Ismiyanti Suci Pratiwi ◽  
Eyus Sudihartinih

The purpose of this study was to obtain an overview of the mathematical connections of junior high school students on the concepts of ratio and proportion. This research uses a descriptive qualitative method with data triangulation. The research participants were four junior high school students in Sukabumi. The instrument used in this study consisted of a description test of three questions that had been consulted with experts and based on considerations regarding indicators of mathematical connection ability. Based on the results of the study, it is known that the ability of students to recognize and use connections between mathematical ideas is 50%, the ability of students to connect and apply mathematical concepts with other disciplines is 50%, and the ability of students to connect and apply mathematical concepts to problems in everyday life with a percentage of 50%. The results showed that the mathematical connection ability of some junior high school students in Sukabumi on the concept of comparison was included in the poor category.


2020 ◽  
Vol 15 (2) ◽  
pp. 145
Author(s):  
Ihwan Zulkarnain ◽  
Muhamad Farhan

The purpose of this study is to help improve the mathematical connection skills of students who have been different in each class, this is due to differences in learning time between morning and afternoon which is considered very influential especially when studying and working on math problems. The research method used is the research method used is the experimental method by comparing the experimental class as many as 20 students and the control class as many as 20 students. The study was conducted at Senior High of Bogor Center School in the 2017/2018 academic year class XI with a science major. The sampling technique in the study was based on a multi stage random sampling technique, as many as 3 stages (stages), namely: the first stage of choosing a study group (in this study, the regular study group), the second stage choosing the class (study group), and stage the third chooses research subjects (students). The collection of instruments used for data collection of researchers is a test of 10 questions about the description. The data analysis technique uses the t-test. Based on calculations obtained 0.032 <0.05, so it was concluded that the mathematical connection ability of students who study in the morning is significantly higher than students who study during the day, after controlling for students' initial abilities.


2019 ◽  
Vol 2 (4) ◽  
pp. 177
Author(s):  
Tati Resmiati ◽  
Hamdan Hamdan

Problem solving is one of the basic abilities in mathematics learning. Problem solving skills can encourage students to think critically, creatively, and can develop other mathematical abilities. The research conducted aims to analyze students 'problem solving abilities in solving problems in mathematical problems and to determine students' self-efficacy towards mathematics. The approach used is a qualitative descriptive approach. The test given is a description problem and attitude scale to measure students' self-efficacy. Questions were tested on class VIII students in one of the junior high schools in the city of Bandung. The results of the study showed that as many as 1 student could not identify the adequacy of the data to solve the problem so that he got a score of 0, while 21 students were not precise in understanding the problem given, while 7 students could not complete the mathematical model and could not verify the correct solution, so it can be stated that the problem solving abilities of students in one of the junior high schools in Bandung are still low so that efforts need to be made to improve, but students have good self-efficacy in mathematics.


2020 ◽  
Vol 4 (1) ◽  
pp. 85-95
Author(s):  
Tesi Ayi Nurlita ◽  
Sumardi Sumardi ◽  
Sima Mulyadi

This research is related to the educational background of parents towards the social development of children aged 5-6 years in the village of Cipertani. The research method used is descriptive qualitative with data collection techniques in the form of questionnaires to research respondents. Respondents in this study were 30 parents who have children aged 5-6 years living in the village Cipertani Rt.05 Rw.08. The educational background of parents in the Cipertani village of 30 respondents ranged from 26.7% of elementary school graduates, 6% of junior high schools, 33.3% of high schools and 20% of universities. Children's social development includes the child's response to playing with peers, the child's cooperative nature, and the attitude of responsibility of the child. The child's social development questionnaire filled with parents includes both positive and negative statements with five alternative answers on a scale of 1-5. Children's social development is divided into four categories 20% categorized as undeveloped, 20% -35% still developing, 36% -65% developing as expected, and 66-100% developing very well. The social development of children in Cipertani village has an average of 47.18% categorized as developing according to expectations. The results of the regression test showed that the value of P (P-Value) = 0.315 stated that Ho was rejected, so it can be concluded that the educational background of parents did not affect the social development of children aged 5-6 years in Cipertani village. Penelitian ini berkaitan dengan latar belakang pendidikan orang tua terhadap perkembangan sosial anak usia 5-6 tahun di kampong Cipertani. Metode penelitian yang dipakai adalah kuntitatif deskriptif dengan teknik pengumpulan data berupa penyebaran angket pada responden penelitian. Responden dalam penelitian ini adalah 30 orang tua yang memiliki anak usia 5-6 tahun tinggal di kampung Cipertani Rt.05 Rw.08. Latar     belakang pendidikan orang tua di kampung cipertani dari 30 responden berkisar dari tamatan SD sederajat sebanyak 26,7%, SMP sederajat sebanyak 6%, SMA sederajat sebanyak 33,3%, dan Perguruan Tinggi sebanyak 20%. Perkembangan sosial anak mencakup respon anak bermain dengan teman sebayanya, sifat kooperatif anak, dan sikap tanggung jawab anak. Angket perkembangan social anak yang diisi orang tua mencakup pernyataan baik itu positif dan negatif dengan lima alternatif jawaban dengan skala nilai 1-5. Perkembangan social anak dibagi menjadi empat kategori 20% dikategorikan belum berkembang, 20%-35% masih berkembang, 36%-65% berkembang sesuai harapan, dan 66-100% berkembang sangat baik. Perkembangan sosial anak di kampung Cipertani mempunyai rata-rata 47,18% dikategorikan ke dalam berkembang sesuai harapan. Hasil penelitian uji regresi menunjukan nilai P(P-Value) = 0,315 dinyatakan bahwa Ho ditolak maka dapat disimpulkan bahwa latar belakang pendidikan orang tua tidak berpengaruh terhadap perkembangan social anak usi 5-6 tahun di kampung Cipertani.


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