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All Journal MATHEdunesa Journal on Mathematics Education (JME) Kreano Jurnal Pembelajaran Berpikir Matematika Jurnal Elemen Journal of Research and Advances in Mathematics Education APOTEMA : Jurnal Program Studi Pendidikan Matematika International Journal on Emerging Mathematics Education International Journal of Trends in Mathematics Education Research MAJAMATH: Jurnal Matematika dan Pendidikan Matematika International Journal of Active Learning JPMI (Jurnal Pembelajaran Matematika Inovatif) Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM) Jurnal Abdi: Media Pengabdian Kepada Masyarakat
AGUNG LUKITO
Universitas Negeri Surabaya, Indonesia
Humanities Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Learning The Concept of Area and Perimeter by Exploring Their Relation Winarti, Destina Wahyu; Amin, Siti Maghfirotun; Lukito, Agung; Gallen, Frans Van
Journal on Mathematics Education Vol 3, No 1 (2012)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.3.1.616.41-54

Abstract

Learning the concept of perimeter and area is not easy for students in grade 3 of primary school. A common mistake is that students think that if the area is the same, the perimeter also has to be the same. It is difficult for them to understand that for a  given area, there are many possibilities of perimeter and vice versa. When student are not aware of this relation they might confuse about the concept in their continuation of learning process. This research was conducted to study if it would support students’ understanding of the concept of perimeter and area if we let them explore the relation between perimeter and area in the very first phase of the learning process. Design research was chosen as the method to study this issue and the three basic principles in The Realistic Mathematics approach were applied in this study to support the learning process of perimeter and area. Real life context such as picture frames was choosen in developing a sequence of learning line to reach the learning goal of perimeter and area. The partipants of this research were students and mathematics teacher of grade 3 in one of the elementary school in Surabaya. Two classes were taken to involve in the first cycle and second cycle respectively.  The teaching experiment shows that the class activities such as making photo frame, measuring photo paper with sticky paper and arranging shapes with wooden matches are activities which can be used to reveal the relation of perimeter and area. From those activities students build their own understanding that in fact area and perimeter are not in one to one correspondence, they found that for the given area they might find different perimeter or vice versa. They also found the reason why they multiply length and width to count the area of rectangular or square shape from sticky paper activity. Somehow some students were found still struggle with their understanding of area and perimeter. They often simply count the area and perimeter but when it comes into comparing the area or perimeter  they still struggle to differentiate between area and perimeter. Keywords: Perimeter, Area, Relation between perimeter and area, Understanding DOI: http://dx.doi.org/10.22342/jme.3.1.616.41-54
Students' Modelling in Learning The Concept of Speed Khikmiyah, Fatimatul; Lukito, Agung; Patahudin, Sitti Maesuri
Journal on Mathematics Education Vol 3, No 1 (2012)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.3.1.618.87-98

Abstract

Previous researchs shows that speed is one of the most difficult in the upper grades of primary school. It is because students must take into consideration of two variables; distance and time. Nevertheless, Indonesian students usually learn this concept as a transmission subject and teacher more emphasizes on formal mathematics in which the concept of speed given as distance by time rigorously. A sequence of learning activities with toy cars context was designed based on students' development and Realistic Mathematics Education (RME) principles which are guided reinvention, didactical phenomenology and emergent modelling. Using their own models, students are able to explain a proportion among distance and time in speed as well the relationship of it. Keywords: The concept of speed, design research, Toy cars, context, ratio tables' model
Student's Understanding of Graph Based on Information-Processing Suwarsono, St.; Lukito, Agung; Mampouw, Helti Lygia
International Journal of Active Learning Vol 1, No 1 (2016): April 2016
Publisher : International Journal of Active Learning

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (560.757 KB) | DOI: 10.15294/ijal.v1i1.7735

Abstract

This study is a preliminary research on how students understand patterns. Students' understanding of something is a cognitive phenomenon as, according to information processing perspective, an integral part of the stimulus, receiving, encoding, storing and retrieving information. This paper aims to describe the information processing by students when they interpret the graph as a task that was delivered using takjil context. There are 9 seven graders aged 11-12 years in various mathematics ability that three students in each its category high, mid and low. It was found that: (1) The graph given in the task attract students' attention with various reasons. (2) The level of abstraction and processing is in accordance with students' mathematical abilities. (3) The number of words related to the context activated at certain period was determined by reviews of their experiences with similar contexts. (4) Concepts of a new schemes were not solely determined by the students' mathematical abilities. Broadly, this study recommends students to have learning experiences through varying contexts and gain extensive experiences to develop appropriate and useful cognitive schemes for solving problems.How to CiteMampouw, H. L., Lukito, A., & Suwarsono, S. (2016). Student's Understanding of Graph Based on Information-Processing. International Journal of Active Learning, 1(1).
Pemecahan Masalah Generalisasi Pola Siswa Kelas VII SMP Ditinjuau dari Gaya Kognitif Field Independent dan Field Dependent Kusumaningtyas, Septhiana Indra; Juniati, Dwi; Lukito, Agung
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 8, No 1 (2017): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Negeri Sema

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v8i1.6994

Abstract

Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif yang bertujuan untuk mendeskripsikan pemecahan masalah generalisasi siswa dengan gaya kognitif field independent (SI) dan field dependent (SD). Subjek penelitian adalah 2 siswa kelas VII SMPN 1 Candi yang masing-masing bergaya kognitif FI dan FD. Penelitian dimulai dengan menentukan subjek penelitian menggunakan instrumen GEFT dan TKM, kemudian dilanjutkan dengan pemberian TPM dan wawancara. Pengecekan keabsahan data menggunakan triangulasi waktu. Tugas generalisasi pola melibatkan pola bilangan, gambar, dan masalah kontekstual.This research is a descriptive research with qualitative approach that aims to describe solving problem of generalization of student with cognitive field independent (SI) and field dependent (SD). The subjects of the study were 2 students of class VII of SMPN 1 temple each having cognitive style of FI and FD. Research begins with determining the subject of research using GEFT and TKM instruments, followed by TPM and interviews. We were checking the validity of data using time triangulation. The task of pattern generalization involves patterns of numbers, images, and contextual problems.
Profil Pemecahan Masalah Kreatif Siswa MA Ditinjau dari Tingkat Math Self-Efficacy Widodo, Kukuh; Budiarto, Mega Teguh; Lukito, Agung
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 9, No 1 (2018): Kreano, Jurnal Matematika Kreatif-Inovatif 9(1)
Publisher : Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Negeri Sema

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v9i1.9850

Abstract

Penelitian ini bertujuan mendeskripsikan profil pemecahan masalah kreatif siswa MA ditinjau dari tingkat math self-efficacy (MSE). Untuk mencapai tujuan peneliti menggunakan tahapan pemecahan masalah kreatif CPS Versi 6.1 yaitu membangun kesempatan, menggali data, membingkai masalah, membangkitkan ide, mengembangkan solusi, dan membangun penerimaan. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif. Subjek penelitian terdiri dari 2 siswa yaitu siswa dengan MSE tinggi dan rendah berdasarkan hasil analisis angket the PISA math self-efficacy scale. Teknik pengumpulan data adalah wawancara berbasis tugas untuk mendapatkan data mengenai pemecahan masalah kreatif siswa. Hasil penelitian menunjukkan bahwa (1) subjek dengan MSE tinggi malakukan tahapan membangun kesempatan, menggali data, membingkai masalah, membangkitkan ide (melakukan kefasihan, melakukan fleksibilitas, namun tidak melakukan kebaruan),  mengembangkan solusi, dan membangun penerimaan; dan (2) subjek dengan MSE rendah melakukan tahapan membangun kesempatan, membingkai masalah, membangkitkan ide (melakukan kefasihan, melakukan fleksibilitas, namun tidak melakukan kebaruan), mengembangkan solusi, dan membangun penerimaan, namun tidak menggali data.This study aimed at describing the profile creative problem solving MA students in terms of the level of math self-efficacy (MSE). To achieve objectives use creative problem-solving stage CPS Version 6.1 namely constructing opportunities, exploring data, framing problems, generating ideas, developing solutions, and building acceptance. This research is a descriptive qualitative approach. Subjects consisted of two students with high and low MSE based on the analysis of questionnaires the PISA math self-efficacy scale. The data collection technique is task-based interviews to obtain data on students' CPS. The results showed that (1) subject with high MSE doing constructing opportunities, exploring data, framing the problem, generating ideas (doing fluency, doing flexibility, without making novelty), developing solutions, and building acceptance stage; and (2) subject with low MSE doing constructing opportunities, framing the problem, generating ideas (doing fluency, doing flexibility, without making novelty), developing solutions, and building acceptance stage, without doing exploring data stage.
Developing Mathematics Teaching Devices in the Topic of Trigonometry Based on Guided Discovery Teaching Method Ishartono, Naufal; Juniati, Dwi; Lukito, Agung
(JRAMathEdu) Journal of Research and Advances in Mathematics Education Vol. 1, No. 2, July 2016
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v1i2.4827

Abstract

This research is categorized as Research and Development (R & D). As developed in this research is learning device that consists of lesson plan, student worksheet, and test. This research adopts ADDIE as a R & D model that stands for Analysis, Design, Development, Implementation, and Evaluation. The aim of this study are to describe the development process and to produce trigonometry learning device based on guided discovery method for students of grade XI Natural Science, as well as determine the effectiveness of trigonometry learning process using Guided Discovery method. To produce the trigonometry learning device based on guided discovery method for students of grade XI Natural Science, so it requires a validation from the experts and a trial to determine its practicability and effectiveness. According to the result of data analysis, it can be concluded: (1) trigonometry learning device based on guided discovery method for students of grade XI Natural Science fulfills criterion of valid, effective and practically, and (2) trigonometry learning process based on guided discovery method is effective.
Membangun Definisi Genetis Kubus Melalui Distorsi dan Manipulasi Objek Spasial Lukito, Agung; Budayasa, I Ketut; Fiantika, Feny Rita
Jurnal Elemen Vol 3, No 2 (2017): Jurnal Elemen
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (250.543 KB) | DOI: 10.29408/jel.v3i2.403

Abstract

Geometry is one of school material subject which close with our daily activities. They used geometry form concept to interior and exterior design. The closeness between geometry content and daily activities encourage author to explore how is spatial thinking elementary student. Two kinds of representations are internal representation and external representation. Representation internal include perception, distortion or abstraction and relationships between objects, external representation reveal the product of thought to image, words, table, concrete object, or mathematic symbols used to understand  yourself and others.Transformation is representation component. Transformation needs object to operate it, and representation needs transformation to create representation. Transformation is tool to descript representations.Subject of the research is elementary school students grade 5th, the researcher gives them a problem of geometry object 2 dimensions to 3 dimensions The research findings are the subject be able to construct a genetic definition of  the cube by using analogical thinking in the preparation of  the definition.
Pembelajaran Learning Cycle 5E Berbasis Pengajuan Masalah untuk Meningkatkan Hasil Belajar Siswa Kelas X pada Topik Trigonometri Shofiah, Siti; Lukito, Agung; Siswono, Tatag Yuli Eko
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 9, No 1 (2018): Kreano, Jurnal Matematika Kreatif-Inovatif 9(1)
Publisher : Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Negeri Sema

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v9i1.9856

Abstract

Artikel ini bertujuan untuk (1) menghasilkan perangkat pembelajaran learning cycle–5E berbasis pengajuan masalah pada topik trigonometri di kelas X, (2) mendeskripsikan keefektifan pembelajaran (3) Untuk membandingkan hasil belajar siswa dengan pembelajaran Learning Cycle 5E berbasis pengajuan dengan hasil belajar siswa yang mengikuti pembelajaran konvensional Pengembangan perangkat pembelajaran dilakukan dengan menggunakan model Morrison. Berdasarkan hasil ujicoba perangkat diperoleh perangkat learning cycle 5E berbasis pengajuan masalah berkualitas baik, karena memenuhi syarat-syarat: (1) kemampuan guru dalam mengelola pembelajaran baik, (2) aktivitas siswa efektif, (3) respons siswa positif, (4) tes hasil belajar valid, reliabel, dan sensitive, (5) ketuntasan belajar secara klasikal tercapai. Sedangkan hasil penelitian pada kelas eksperimen berdasarkan analisis statistik deskriptif diperoleh bahwa learning cycle 5E berbasis pengajuan masalah efektif untuk mengajarkan materi trigonometri. Berdasarkan analisis statistik inferensial dengan mengunakan anakova diperoleh kesimpulan bahwa hasil belajar siswa yang mengikuti learning cycle 5E berbasis pengjuan masalah lebih baik dibandingkan dengan hasil belajar siswa mengikuti pembelajaran konvensional untuk materi trigonometri di kelas X.The purposes of the research are (1) to produce learning cycle-5E based on problem posing on trigonometric topic in class X, (2) to describe the effectiveness of learning cycle-5E based on problem posing in trigonometric topic in class X, (3) Compare the learning outcomes of students who take Learning Cycle 5E-based problem posing with the learning outcomes of students who take conventional learning on the topic of trigonometry in class X. The learning device development was conducted by using the Morisson model. Based on the test results, the devices obtained by the learning cycle 5E based on problem posing is a good quality, as validated by the validators and qualified: (1) the ability of teachers in managing good learning, (2) the student activity in effective learning, (3) Positive student responses, (4) learning outcome test, fulfils valid, reliable, and sensitive criteria and (5) learning completeness is achieved in a classical manner. whereas the results of descriptive statistical analysis, it is obtained that the  learning cycle 5E based on problem posing is effective material to used in teachng trigonometric. Based on inferential statistic analysis using anacova, it is concluded that the students' learning outcomes following learning cycle 5E based on problem posing are better than the students' learning outcomes following the conventional learning for trigonometric material in class X.
Profil Pemecahan Masalah Pecahan Siswa Sd Berdasarkan Adversity Quotient Irfan, Ade; Juniati, Dwi; Lukito, Agung
APOTEMA : Jurnal Program Studi Pendidikan Matematika Vol 4 No 2 (2018): APOTEMA: Jurnal Program Studi Pendidikan Matematika
Publisher : Penerbit STKIP PGRI Bangkalan

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Penelitian ini bertujuan mendeskripsikan profil pemecahan masalah pecahan siswa SD berdasarkan Adversity quotient. Pengumpulan data dilakukan dengan wawancara berbasis tugas pemecahan masalah pecahan berdasarkan tahapan Polya. Subjek dalam penelitian ini yaitu siswa kelas V SD dengan kategori climber, camper, dan quitter. Validasi data dilakukan dengan membandingkan hasil wawnacara berbasis tugas TMP-1 dan TPMP-2. Berdasarkan hasil penelitian diketahui bahwa subjek climber, memahami masalah dengan mengakses informasi dengan membaca dengan suara keras sesuai naskah soal hanya satu kali, mengidentifikasi apa yang diketahui dan ditanyakan secara lisan kemudian menuliskannya dengan membuat sketsa gambar, menyusun rencana penyelesaian masalah dengan menyebutkan akan membuat sketsa gambar dan menjelaskan dengan menceritakannya dan hanya memiliki satu rencana penyelesaian masalah. Dalam melaksanakan rencana, melaksanakanya sesuai dengan rencana yang dikemukakan dengan membuat sketsa gambar kemudian membuat garis-garis (mencoret-coret/mengarsir) pada bagian dari sketsa gambar serta menjelaskan secara lisan. Namun, tidak menggunakan alat bantu ketika membuat gambar, memeriksa kembali penyelesaian masalahnya dengan menjelaskan secara lisan serta merasa yakin jawabannya sudah benar dengan alasan mengerjakan dengan teliti. Sementara itu, profil pemecahan masalah pecahan dari subjek camper, memahami masalah dengan mengakses informasi dengan membaca dengan suara keras sesuai naskah soal hanya satu kali, mengidentifikasi apa yang diketahui dan ditanyakan dengan lisan kemudian menuliskannya dengan bahasa verbal. Menyusun rencana penyelesain masalah dengan menyebutkan membayangkan ilustrasi gambar lalu menghitung dengan menuliskannya,  memperoleh rencana setelah membaca soal dan hanya memiliki satu rencana penyelesaian masalahnya, melaksanakan penyelesaiannya berbeda dengan rencana yang telah dikemukakannya dengan menulis jawabannya dengan bahasa verbal kemudian membuat sketsa gambar dengan tidak menggunakan alat bantu menggambar kemudian menjelaskannya secara lisan, memeriksa kembali jawabannya secara lisan dan menunjuk pada sketsa gambar. Sedangkan, profil pemecahan masalah pecahan dari subjek quitter, memahami masalah dengan mengakses informasi dengan membaca dengan suara keras sesuai naskah soal hanya satu kali, mengidentifikasi apa yang diketahui dan ditanyakan secara lisan kemudian menuliskannya dengan membuat sketsa gambar, menyusun rencana penyelesaian masalah dengan menyebutkan akan membuat sketsa gambar dan mencari dengan menghitung, memperoleh rencana dari diri sendiri dan hanya memiliki satu rencana penyelesaian masalah, dalam melaksanakan rencana penyelesaian masalah, melaksanakannya sedikit berbeda dengan rencana yang dikemukakan dengan membuat sketsa gambar kemudian membuat garis-garis (mencoret-coret/mengarsir) pada bagian dari sketsa gambar untuk menjawab bagian yang ditanyakan serta menjelaskan secara lisan. Tidak menggunakan alat bantu ketika membuat gambar. Memeriksa kembali penyelesaian masalahnya dengan menjelaskan secara lisan dan menunjuk gambar serta merasa yakin jawabannya sudah benar dengan alasan sudah mencarinya.
Motivation Cards to Support Students’ Understanding on Fraction Division Wahyu, Kamirsyah; Amin, Siti Maghfirotun; Lukito, Agung
International Journal on Emerging Mathematics Education IJEME, Vol. 1 No. 1, March 2017
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (642.751 KB) | DOI: 10.12928/ijeme.v1i1.5760

Abstract

This design research aims to develop a learning activity which supports the fifth-grade students to understand measurement fraction division problems (A whole number divided by a fraction that result in a whole number answer) conceptually. Furthermore, how students solve the fraction division problem using models is also analyzed.  Data for the retrospective analysis is collected through two teaching experiments in the form of students’ work, field notes, and some part of classroom discussions. The important findings in this research are: 1) the developed learning activity namely Motivation Cards support students understand that  3 divided by one-half means how many one-half are in 3 through models. However, when the divisor is not a unit fraction they could not directly relate the unshaded part in area model for example. 2) area model is proper model to be firstly introduced when the students work on fraction division. 3) understanding this kind of fraction division help students understand other measurement fraction division where both divisor and dividend are fractions. 4) the learning activity supports the development of character values for students.    
Co-Authors A.A. Ketut Agung Cahyawan W Ali Djamhuri Ayun, Qurrota BADRIQUL MUDRIK, MOH Bahri, Akhmad Syaiful Budayasa, I Ketut Destina Wahyu Winarti DWI JUNIATI Feny Rita Fiantika, Feny Rita FIQIH ARINA, FIRDA Fitmawati, Entya Esa Frans Van Gallen Helti Lygia Mampouw I Ketut Budayasa Indarasati, Nanda Ayu INDRIANI, ENY Irfan, Ade Jamhari Jamhari Kamirsyah Wahyu Kukuh Widodo LOKA DEWI, FITA manuharawati, Manuharawati Masriyah Masriyah Mega Teguh Budiarto Misu, La MUHAMMAD HASBI Mustangin Mustangin Naufal Ishartono Neni Mariana Ningtyas, Devi Yuniarti NUFUS, ATIROTUN Nur Wahyuni OKTA ARIYATI, GITA RADEN SULAIMAN Rahmawati, Anis Wahyu RAHMAYANTI KHUMAIRO, DESY Rini Setianingsih Rosdiana Rosdiana Saleh Saleh, Saleh Sari, Ria Fibriana Septhiana Indra Kusumaningtyas, Septhiana Indra Sholli, Amirul Khumaini Siti Maghfirotun Amin Sitti Maesuri Patahudin St. Suwarsono Sutinah Sutinah Tatag Yuli Eko Siswono Wahyu, Kamirsyah YUSUF FUAD