scholarly journals Profil Pemahaman Himpunan oleh Siswa Berdasarkan Perbedaan Kemampuan Matematika Ditinjau dari Teori APOS

2019 ◽  
Vol 8 (2) ◽  
pp. 249-260
Author(s):  
Maya Winarsih ◽  
Helti Lygia Mampouw

AbstrakPenelitian yang dilakukan oleh PISA menunjukkan bahwa pemahaman konsep siswa masih tergolong rendah terutama pada materi himpunan yang merupakan ilmu dasar dari semua cabang ilmu matematika . Tujuan penelitian ini untuk mengungkap profil pemahaman materi himpunan oleh siswa berdasarkan perbedaan kemampuan matematika ditinjau dari teori APOS. Subjek terdiri dari 3 siswa kelas VIII MTs Negeri Ngablak Magelang dengan kemampuan matematika tinggi, sedang dan rendah. Peneliti sebagai instrumen utama dibantu soal tes mengenai himpunan dan pedoman wawancara. Hasil yang diperoleh adalah siswa berkemampuan matematika tinggi berada pada level skema trans karena mampu melakukan aksi, proses, objek dan skema. Siswa berkemampuan matematika sedang berada pada level skema inter karena mampu melakukan aksi dan proses namun belum mampu menghubungkan objek dengan skema. Siswa berkemampuan matematika rendah berada pada level skema intra karena mampu melakukan aksi namun mengalami kesulitan pada bagian proses sehingga tidak dapat membangun suatu objek. Perbedaan level kemampuan matematika siswa sebanding lurus dengan perbedaan kemampuan pemahaman himpunannya. Profile of Students’ Understanding about Set Based on Difference of Mathematical Ability Using APOS TheoryAbstractResearch conducted by PISA shows that understanding students' concepts is still low, especially in set material which is the basic science of all branches of mathematics. The purpose of this research is to describe the profile of understanding set by students based on the difference of mathematical abilities in terms of APOS theory. The subjects consisted of 3 eighth grade students of MTs Negeri Ngablak Magelang with high, medium, and low in mathematical ability. The researcher as the main instrument is assisted with test questions and interview guidelines. The results obtained a student with high mathematical abilities is at the trans’s scheme level, because she can carry out actions, processes, objects, and schemes. The Student with medium mathematical abilities is at the inter’s scheme level because he can carry out actions and processes but has not been able to connect objects with schemes. The student with low mathematical abilities is at an inter’s scheme level because he can take action but has difficulty in the process so that he cannot build an object. The difference in the level of students' mathematical abilities is equal to the difference in the understanding ability of the set.

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 35-39
Author(s):  
Tri Wilfi Iqlima ◽  
Susanah Susanah

Analogy reasoning is the process of thinking logically and analytically in drawing conclusions based on the similarities between the two things being compared. The purpose of this study is to describe the analogy reasoning of students in solving mathematical problems in terms of high, medium, and low mathematical abilities. This research is a descriptive study with a qualitative approach. Data collection was carried out in class IX-H of SMP Negeri 5 Surabaya in the 2019/2020 school year by 33 students and each subject was selected for each category of mathematical ability. The results of the analysis of Problem Solving Tests and interviews show that students with high, medium, and low mathematical abilities mention information that is known and what is asked for logical reasons on the source and target problem, and explain the relations between the information. This indicates that each subject has an encoding process. Each subject also mentions and explains the concepts used to solve source problems, which means each subject has an inferring process. The difference is, subjects with high mathematical ability mention the same concepts between the source problem and the target problem and explain the concepts used to solve the target problem, then students can complete the target problem. This means that the subject is doing two other processes, namely mapping and applying. Subjects with medium mathematical abilities are mentioning the same concept between the source problem and the target problem but cannot explain the concept used in the target problem. However, the subject only did one of the two indicators in the mapping process, so the analogy reasoning process carried out by the subject was encoding and inferring. While students with low mathematical abilities are stopped in the encoding and inferring processes. Keywords: Analogy Reasoning, Mathematical Abilitiy


Author(s):  
La Misu ◽  
I Ketut Budayasa ◽  
Agung Lukito ◽  
Rosdiana Rosdiana

Awareness of metacognition is one of mental process that occurs when a person knows what he thinks, including the knowledge and awareness to do something or realize the reason that. The purpose of this study is (1) to describe how the metacognition awareness of mathematics student and mathematics education student based on mathematical ability, and (2) to know the difference metacognitive awareness between of mathematics students with math education students based on mathematical ability. This research subject are the Department of Mathematics and Mathematics Education students of Halu Oleo University Kendari, Indonesia. This research is ex post facto by the data analysis using descriptive and inferential approach. Descriptive approach used to describe the level of metacognitive awareness of mathematics students and mathematics education students based on his mathematical abilities, whereas inferential approach used to see the difference in metacognition awareness of mathematics students and mathematics education students based math skills. The results of this study are: (1) the level of students metacognition awareness of Mathematics Department, generally located on level strategic use and level reflective use, while the level of students metacognition awareness of Education Mathematics Department, generally located on level aware use; (2) there is a significant difference between the awareness metacognition of math students with mathematics education student based on his mathematical abilities, and awareness metacognition of math student better than mathematics education students.


2019 ◽  
Vol 4 (4) ◽  
pp. 468
Author(s):  
Nur Hasan ◽  
Subanji Subanji ◽  
Sukorianto Sukorianto

<p><strong>Abstract:</strong> This research was aimed to describing the mistakes made by the eighth grade students of SMPN 2 Tiris in Probolinggo district in solving the story problems related to the Pythagorean Theorem. Three subjects were selected to solve the story problem of the Pythagorean Theorem then interviewed. The analysis used was based on conceptual error, procedural and calculation. The results showed that in the conceptual stage the subject made a mistake in drawing a right triangle and determining the sloping side. Procedural errors are made, namely the subject makes a withdrawal of the root in the right segment even though in the left side is still a square. While at the calculation stage the subject made a mistake in determining the results of the square root and the difference so that it was wrong in the final result.</p><strong>Abstrak:</strong><em> </em>Penelitian ini bertujuan untuk mendeskripsikan kesalahan yang dilakukan siswa kelas VIII SMPN 2 Tiris Kabupaten Probolinggo dalam menyelesaikan soal cerita terkait Teorema Pythagoras. Tiga subjek dipilih untuk menyelesaikan soal cerita Teorema Pythagoras kemudian diwawancara. Analisis yang digunakan berdasarkan kesalahan konseptual, prosedural, dan komputasi. Hasil penelitian menunjukkan pada tahap konseptual subjek melakukan kesalahan dalam menggambar segitiga siku-siku dan menentukan sisi miringnya. Kesalahan prosedural yang dilakukan yaitu subjek melakukan penarikan akar pada ruas kanan padahal di ruas kiri masih bentuk kuadrat. Pada tahap penghitungan subjek melakukan kesalahan dalam menentukan hasil akar kuadrat dan selisih sehingga salah dalam hasil akhir.


Author(s):  
NL Ersianawati ◽  
MH Santosa ◽  
GAP Suprianti

This study aimed at investigating the effect of reciprocal questioning strategy combined with numbered heads together on reading comprehension of the eighth grade students in SMP Negeri 2 Singaraja. This study was an experimental study with post – test only control group design. The population of this study was the eighth grade students in SMP Negeri 2 Singaraja in academic year 2017/2018 with the sample of 73 students who were selected by using cluster random sampling. The data were collected using reading comprehension test. The data were analyzed by using independent samples t-test assisted with SPSS 24. The result showed that there was an effect of reciprocal questioning strategy combined with numbered heads together on reading comprehension of the eighth grade students in SMP Negeri 2 Singaraja. The result of independent samples t-test shows that the difference of reading comprehension between reciprocal questioning strategy combined with numbered heads together and reading guide strategy was significant (p


1978 ◽  
Vol 1 (4) ◽  
pp. 80-85 ◽  
Author(s):  
Stephen C. Larsen ◽  
Randall M. Parker ◽  
Barbara Trenholme

The results of this study suggest that the syntactic complexity of written mathematical problems influences the student's ability to solve the problems. Although the study used low-achieving eighth-grade students and a relatively small n, the implications for assessment and instructional planning for LD students are nevertheless apparent. The study stresses the importance of considering factors other than just a youngster's mathematical ability to explain below-average performance in arithmetic.


Author(s):  
Geminastiti Sakkir ◽  
Usman M

This research aims at finding out whether or not the use of movie is effective in enhancing the vocabulary achievement and finding out the students’ interest toward the use of movie. The research employs a pre-experimental research method. The population of this research is all the eighth grade students of SMP Negeri 2 Panca Rijang in academic year 2017/2018. The samples consist of 20 students was taken based on random sampling technique. The research data are collected using vocabulary test which is analyzed by descriptive and inferential statistics. The research result indicates that the use of movie is more effective in enhancing vocabulary achievement of the eighth grade students of SMP Negeri 2 Rappang in academic year 2017/2018. The students’ result of posttest is higher than the students’ result of pretest (80 > 70. 625). The difference of those mean score is statistically significant; it is based on t-test value at significant level 0.05, the t- table is lower than t- test (2. 093 < 3. 54).


SIMBIOSA ◽  
2014 ◽  
Vol 3 (2) ◽  
Author(s):  
Ramses Ramses ◽  
Nurhaty Purnama Sari ◽  
Harni Lainy Br.Bakkara

This study aims to know the influence of active learning model Course Review Horay to biology learning outcomes at eighth grade students of SMP Negeri 10 Batam academic year 2013/2014. This research design is  randomized experiment using posttest only control-group design. The study population is all the eighth grade students of  SMP Negeri 10 Batam with reached population consist of 7 classes. The sampling technique using a simple random sampling. Samples were selected class VIII5 as control class and VIII8 as experiment class. The instrument  that use in this research is the form of the test. Requirement have been in the form of normality and homogeneity test, which showed that normal and homogeneous data. Technique of data analysis conducted by the t test. The result analysis of data using the t test showed the tvalue 3.01 and ttable is 2.00 (tvalue > ttable). The results showed that the active learning result model Course Review Horay give effect to increase student learning outcomes from the average of the experimental class 82,57 and control class 76,04. Thus, the hypothesis put forward acceptable significance level (α = 0.05). Thus, it can be concluded that the using of active learning model Course Review Horay influential on learning outcomes of biology at eighth grade students of SMP Negeri 10 Batam. Keywords: Course Review Horay, Biology Learning Outcomes.


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