scholarly journals HYPOTHETICAL LEARNING TRAJECTORY PADA PEMBELAJARAN BILANGAN NEGATIF BERDASARKAN TEORI SITUASI DIDAKTIS DI SEKOLAH MENENGAH

2018 ◽  
Vol 6 (1) ◽  
pp. 13-24 ◽  
Author(s):  
Nyiayu Fahriza Fuadiah

Penelitian ini bertujuan untuk mendesain Hypothetical Learning Trajectory (HLT) pada pembelajaran bilangan negatif sebagai hasil dari tahap pertama Didactical Design Research yaitu Analisis Prospektif. HLT ini merupakan tindak lanjut dari hasil identifikasi Learning Obstacle yang yang dilakukan peneliti dalam pembelajaran bilangan negatif yang terintegrasi dalam materi Bilangan Bulat di kelas 7 sekolah menengah pertama. Observasi mendalam terhadap proses belajar mengajar di kelas yang diamati peneliti memperlihatkan kesulitan guru dalam menanamkan konsep bilangan negatif dan operasi bilangan yang melibatkan bilangan negatif serta beberapa kesalahan konstruksi konsep yang dialami oleh siswa. Istilah HLT merujuk pada rencana pembelajaran berdasarkan antisipasi belajar siswa yang mungkin dicapai dalam proses pembelajaran yang didasari pada tujuan pembelajaran matematika yang diharapkan pada siswa, pengetahuan, dan perkiraan tingkat pemahaman siswa, serta pilihan aktivitas matematika secara berurut. HLT ini disusun berdasarkan analisis terhadap Learning Obstacle, tahap berpikir siswa, dan analisis terhadap kurikulum dengan tetap berpijak pada konsep materi yang harus dipahami siswa.This research aims to design Hypothetical Learning Trajectory (HLT) on learning of negative numbers as a result of the first stage on Didactical Design Research specifically in Prospective Analysis. This HLT is a follow up of the results of the identification of the Learning Obstacle conducted by researcher in learning negative numbers that integrated in the material Integer in the 7th grade secondary school. From the observations conducted by researcher on the teaching and learning process in the classroom showed the difficulties of teachers in embedding the concept of negative numbers and arithmetic operations involving negative numbers and several construction errors of concepts that experienced by the students. Term of HLT refers to a lesson plan based on the anticipation of student learning possibly achievable in the learning process which is based on mathematics learning goals expected on students, knowledge, estimates of the level of students understanding, and the selection of mathematical activity sequentially. This HLT is compiled based on an analysis of the Learning Obstacle, level of students thinking, and analysis of the curriculum that standing on the concept that must be understood by the students.

2018 ◽  
Vol 2 (1) ◽  
pp. 12
Author(s):  
Kimura Patar Tamba ◽  
Melda Jaya Saragih ◽  
Tanti Listiani

<p>A learning trajectory offers a description of key aspects in planning mathematics learning. It also helps teachers follow and interpret students’ mathematical thinking, so that learning can be developed in accordance with the characteristics of students, and even become a tool for teachers to develop curriculum. There are three main components of learning trajectory: learning goals, learning activities, and hypothetical learning processes. In this article, we constructed a learning trajectory of the quadratic inequality. This qualitative study used didactical design research with 105 grade 10 students as the participants. In the prospective analysis step, didactic design, learning obstacle, and quadratic inequality system were analyzed. Based on the results of this analysis, we constructed hypothetical learning trajectories in the form of didactical design. Then, hyphothetical learning trajectories were implemented in the learning process. Student’s responses were analyzed qualitatively. Results of this analysis were used to revise the learning trajectory in order to obtain alternative trajectory learning outcomes of theoretical and empirical analysis. Finally, this article offers an alternative learning trajectory of quadratic inequalities that are different from the existing learning trajectories presented in the current textbook. The learning trajectory that is offered is the learning quadratic inequality which starts from the function approach.</p><p> <strong>BAHASA INDONESIA ABSTRACT: </strong>Learning trajectory (LT) menawarkan sebuah deskripsi akan aspek kunci dalam perencanaan pembelajaran matematika. LT juga membantu guru belajar dalam mengikuti dan menginterpretasi cara berpikir matematisnya siswa, sehingga pembelajaran dapat dikembangkan sesuai dengan karateristik siswa, bahkan menjadi alat bagi guru untuk mengembangkan kurikulum.  Ada tiga komponen utama dari learning trajectory, yaitu: tujuan pembelajaran (learning goals), kegiatan pembelajaran (learning activities) dan hipotesis proses belajar siswa (hypothetical learning process). Dalam artikel ini akan dikonstruksi sebuah LT pertidaksamaan kuadrat. Penelitian ini menggunakan pendekatan kualitatif dengan didactical design research. Adapun partisipan sebanyak 105 siswa kelas X. Pada awal penelitian ini, dilakukan analisis propektif yaitu analisis atas materi pertidaksamaan kuadrat, hambatan belajar dan tingkat berpikir siswa. Kemudian dari hasil analisis ini disusunlah Hipotetical Learning Trajectories yang berupa desain didaktis. Desain didaktis berdasarkan Hypotetical Learning Trajectories ini diimplementasikan dalam pembelajaran. Respon siswa dianalisis secara kualitatif. Hasil analisis ini digunakan untuk merevisi Learning Trajectory, sehingga diperoleh Learning Trajectory alternatif hasil analisis teoritik dan empirik. Akhirnya, artikel ini menawarkan sebuah alternatif learning trajectory pertidaksamaan kuadrat yang berbeda dengan learning trajectories yang ada pada buku pelajaran sekarang. Learning trajectory yang ditawarkan adalah pembelajaran pertidaksamaan yang dimulai dengan pendekatan fungsi. </p>


2019 ◽  
Vol 14 (1) ◽  
pp. 91-100 ◽  
Author(s):  
Elis Muslimah Nuraida ◽  
Ratu Ilma Indra Putri

This study aims to explore the students’ mathematical understanding in integer division operation through the context of archipelago traditional cakes in class VII. This research is related to the Indonesian Realistic Mathematics Approach (PMRI) as a learning approach used. The methodology used in this study is Design Research consisting of three stages: preliminary design, experimental design, and retrospective analysis. The study was conducted on VII grade students of Palembang 1 Junior High School. The learning path (Hypothetical Learning Trajectory) in design research plays an important role as a research design and instrument. The Hypothetical Learning Trajectory (HLT) was developed together with a series of activities using the context of archipelago traditional cakes such as: omelette roll, bakpia, milk pie, etc. The medium used in this study was the Students’ Activity Sheet. The results of this study indicate that exploration using the context of traditional archipelago cakes can help students understanding in multiplication and division of integers. The conclusion of this study is the use of archipelago traditional cakes as starting point in mathematics learning in integer division operation material helps the students to explore their understanding in solving mathematics problems.


2016 ◽  
Vol 3 (2) ◽  
pp. 227-241
Author(s):  
Rohmat Rohmat

Abstract This research is intended to see students’ creativity level on microteaching subject of Islamic Education Major Program Faculty of Tarbiyah and Teachers’ Training of IAIN Surakarta in 2015. This research was descriptive. The 6th semester students of Islamic Education Major Program were the participants of this research in micro teaching class. Interview and document were used as the instruments with the microteaching lecturer as the informant. Interactive analysis was applied for data analysis. The results show that the quality of students’ creativity in developing lesson plan as follows: (1)The lesson plan (RPP) developed before teaching improves learning quality (2)the interactive activities mentioned in the lesson plan (RPP) contain the learning strategies and facilities encouraging teaching and learning process (3)learning goals were achieved during the teaching and learning process. (4)the learning techniques is associated with the component of instructional system (5)teaching media was used to conduct conducive learning situation (6)some contents emphasized in the lesson plan (RPP) were suitable with the instructions existed in course book and curriculum (7)some specific activities done by the students in the learning process are their ways to master the materials they taught (8)The learning focus is emphasized on PAIKEM (Active, Innovative, Creative, Effective, and Fun Learning) and on evaluation to check the result, process, and comprehensible instruction. Abstrak Penelitian ini bertujuan untuk mengetahui tingkat kreatifitas siswa pada pembelajaran micro teaching pada jurusan Pendidikan Agama Islam, Fakultas Ilmu Tarbiyah dan Keguruan IAIN Surakarta tahun 2015. Penelitian ini menggunakan pendekatan deskriptif kualitatif. Populasi dalam penelitian ini adalah mahasiswa mata kuliah micro teaching semester VI. Instrumen penelitian yang digunakan adalah wawancara dan dokumen yang mana dosen mata kuliah tersebut menjadi informan penelitian. Hasil penelitian menunjukkan bahwa kreatifitas para siswa pada matakuliah micro teaching sebagai berikut: 1)Pembuatan RPP dapat meningkatkan kualitas pembelajaran. 2)kegiatan interaktif yang tertera dalam RPP berisi langkah-langkah strategi pembelajaran interaktif dan fasilitas yang mendukung proses belajar mengajar; 3)tujuan didapatkan dalam proses belajar mengajar. 4)teknik pembelajaran dilakukan dan disesuaikan dengan kandungan dari sistem instruksional. 5)penggunaan media ajar kondusif. 6)penekanan yang dipaparkan dalam RPP disesuaikan dnegan instruksi yang ada dalam buku dan kurikulum. 7)hal-hal spesifik yang dilakukan para mahasiswa dalam proses pembelajaran merupakan strategi untuk menguasai materi yang akan diajarkan. 8)fokus dalam pembelajaran ditekankan pada PAIKEM (Pembelajaran Aktif, Inovatif, Kreatif, Efektif, dan Menyenangkan) dan evaluasi untuk mengetahui hasil, proses, dan instruksi yang komprehensif. How to Cite : Rohmat. (2016) Connecting the World: The Quality of Teachihg and Learning Process Reflected from Students’ Creativity on Micro Teaching Subject. TARBIYA: Journal of Education in Muslim Society, 3(2), 227-241. doi:10.15408/tjems.v3i2.4062. Permalink/DOI: http://dx.doi.org/10.15408/tjems.v3i2.4062


2018 ◽  
Vol 9 (1) ◽  
Author(s):  
Gregorius Sebo Bito

The purpose of this study was to describes the use of student’s contribution as a transition tool at each level of learning the fraction operation concept. This study involved fourth grade students of an elementary school in Ngada East Nusa Tenggara. The type of this research is Design Research with three stages, namely: initial design, teaching experiment and retrospective analysis. This research begins conduct a hypothetical learning trajectory (HLT) of fraction operations concept. The HLT has been tested before the actual learning process (ALT). The results of the retrospective analysis obtained an overview of the Actual Learning Trajectory (ALT) show that the use of various student’s contribution at each level of learning can lead to understanding the fraction operation concept.


2020 ◽  
Vol 11 (1) ◽  
pp. 101-110
Author(s):  
Riza Agustiani ◽  
Rahmat Nursalim

Proof has a role in the formation and development of mathematics in the history of mathematics. The ability to construct proof is one indicator of mathematical reasoning which is an important component of mathematics learning outcomes, especially in Algebra. This qualitative research aims to describe the design process of the Hypothetical Learning Trajectory for Proof Logic Topics. This research is based on design research. This research consists of three stages: preparing for the experiment, the design experiment, and the retrospective analysis. Data collection techniques in this research are walkthrough and interview. The walkthrough and interview were conducted in the first stage of design research (preparing the experiment) with two activities: expert review and reader proof to collect materials to revise the HLT. Four experts participated in the expert review. The experts are chosen based on the experience, both research experience, and teaching experience. The result of this research is the design of HLT for proof logic topics consist of four activities: reading proof, completing proof, examining proof, and Constructing proof. The four activities were well-done on the design experiment stage. 


Author(s):  
Susda Heleni ◽  
Salmaini Safitri Syam ◽  
Titi Solfitri

Penelitian ini bertujuan untuk meningkatkan proses pembelajaran dan meningkatkan hasil belajar matematika siswa melalui penerapan Pengajaran dan Pembelajaran Kontekstual dalam Pembelajaran kelompok STAD. Jenis penelitian ini adalah Penelitian Tindakan Kelas dengan dua siklus. Penelitian ini dilakukan di kelas VIII8 MTsN Andalan Pekanbaru pada semester kedua tahun akademik 2015/2016 dengan subjek sebanyak 36 siswa, terdiri dari 18 laki-laki dan 18 perempuan. Instrumen penelitian terdiri dari perangkat pembelajaran dan pengumpul data instrumen. Perangkat pembelajaran yang digunakan dalam penelitian ini adalah Silabus, Rencana Pelajaran dan Lembar Kerja. Instrumen pengumpul data yang digunakan dalam penelitian ini adalah lembar observasi dan tes hasil belajar matematika. Teknik analisis data yang digunakan adalah analisis statistik deskriptif. Berdasarkan hasil penelitian menunjukkan bahwa pelaksanaan proses pembelajaran pada siklus II telah terjadi peningkatan dari penerapan pada siklus I. Kelemahan pada siklus I meningkat pada siklus II implementasi sesuai dengan perencanaan peningkatan setelah siklus refleksi I. Jumlah siswa yang mencapai Kriteria Penguasaan Minimum meningkat dari skor dasar ke tes harian II. Jumlah siswa yang mencapai Kriteria Penguasaan Minimum pada skor dasar, tes harian I dan tes harian II masing-masing 11 orang (30,55%), 23 orang (63,88%) dan 26 orang (72,22%). Hasil penelitian ini menunjukkan bahwa penerapan Pembelajaran kontekstual dan kelompok pada pembelajaran STAD dapat meningkatkan proses pembelajaran dan meningkatkan hasil belajar matematika dari siswa di kelas VIII8 MTsN Andalan Pekanbaru pada semester II tahun akademik 2015/2016 di Kompetensi Dasar 5.3 Menghitung luas permukaan dan volume Balok, Kubus, Prisma, dan Piramida.   This research aims to improve the learning process and increase the student’s mathematics learning outcomes through the implementation of Contextual Teaching and Learning in Cooperative Learning of STAD. This type of research is the Classroom Action Research with two cycle. The research was conducted in class VIII8 MTsN Andalan Pekanbaru in the second semester of the 2015/2016 academic year with the subject of as many as 36 students, consist of 18 boys and 18 girls. The research instrument consists of learning devices and instrument data collectors. Learning device used in this research is the Syllabus, Lesson Plan and Worksheet. The instrument data collector used in this research is the observation sheet and math achievement test. Data analysis technique used is descriptive statistical analysis. Based on the result of the research showed that implementation of learning process on cycle II had happened improvement from implementation on cycle I. Weakness on cycle I is improved on implementation cycle II according with planning of improvement after reflection cycle I. Number of students that reach Minimum Mastery Criteria increase from basic score to daily test II. The number of students who reach Minimum Mastery Criteria on basic scor, daily test I and daily test II are respectively 11 person (30,55%), 23 person (63,88%) and 26 person (72,22%). Results of this research indicates that application of the Contextual Teaching and Learning in Cooperative Learning of STAD can improve learning process and increase mathematics learning outcomes from the students at class VIII8 MTsN Andalan Pekanbaru in the second semester academic years 2015/2016 at Basic Competencies 5.3 Calculates the surface area and volume of the Beam, Cube, Prism and Pyramid.


2016 ◽  
Vol 6 (2) ◽  
pp. 111 ◽  
Author(s):  
Alfian Nur Aziz ◽  
Sugiman Sugiman ◽  
Ardhi Prabowo

<p dir="ltr">Tujuan penelitian ini adalah untuk mengetahui bagaimana proses pembelajaran matematika pada anak berkebutuhan khusus (ABK) slow learner di kelas inklusif SMP Negeri 7 Salatiga dalam mencapai keberhasilan belajar. Data penelitian ini adalah mengenai proses pembelajaran matemetika pada anak berkebutuhan khusus slow learner di kelas inklusif. Penelitian ini menggunakan pendekatan kualitatif. Teknik pengumpulan data menggunakan metode observasi, wawancara, dan studi dokumentasi. Teknik analisis data meliputi pengumpulan data,reduksi data, penyajian data, penarikan kesimpulan dan verifikasi. Berdasarkan hasil analisis diperoleh hasil : (1) Guru mata pelajaran matematika sudah memahami karakterstik siswa slow learner secara umum. Tidak Terdapat perbedaan dalam Rencana Pelaksanan Pembelajaran (RPP) namun perencanaan tetap memperhatikan karakteristik siswa slow learner.(2) Dalam pelaksanaan pembelajaran guru melakukan pengkondisian dengan mempersiapkan siswa secara fisik dan psikis. Penggunaan model, metode, media pembelajaran disamakan antara siswa reguler dan slow learner. Dalam pelaksanaan ada metode yang sudah dapat mengakomodir siswa reguler dan siswa slow learner, namun masih ada metode yang membuat siswa slow learner semakin mengalami kesulitan dalam belajar.(3) Kegiatan evaluasi dilakukan ketika satu materi bahasan selesai dan dilakukan denga tes tertulis maupun tes lisan. Hasil evaluasi digunakan sebagai acuan kegiatan tidak lanjut yang dilaksanakan di bimbingan khusus oleh Guru Pendamping Khusus (GPK).</p><p dir="ltr">This study intends to unveil how mathematics-learning process in disabilities of slow learners in inclusive class of SMP Negeri 7 Salatiga achieves the learning goals. The data of this study is related to mathematics-learning process in disabilities of slow learners in inclusive class. This study employs qualitative method. The techniques of collecting the data are observation, interview, and documentation. The techniques of analysis vary on collecting the data, reducing the data, presenting the data, drawing conclusions and verification. According to the results of the analysis, it can be concluded that: (1) Mathematics teachers have known about the characteristics of slow-learners in general. There are no differences in the lesson plan (RPP), but the planning still considers the characteristics of slow learners in general. (2) During the learning process, teacher arranges the students by preparing them physically and mentally. The use of model, method, and learning media of regular students is equaled to the slow learners’. In the learning process, there are methods accommodating both regular students and the slow learners. However, there are some methods causing learning problems on slow learners. (3) The evaluation is carried out when a material has already finished, and it is done in written and spoken form. The evaluation results are then used as a reference of follow-up activities conducted with a particular help from guidance-specialized teacher (GPK)</p>


2019 ◽  
Vol 7 (1) ◽  
pp. 83
Author(s):  
Nasri Juharia

The study aims at describing teachers’ activities based on the aspects of preparation, implementation, and evaluation of learning in Mathematics learning process which affected on students’ character building at SMPN 5 Mandai. The type of this study was descriptive research with qualitative approach. The research subjects were 2 Mathematics teachers at SMPN 5 Mandai who applied 2013 curriculum and teachers who applied character education in learning process. Data collecting method of the study were interview, observation, and documentation. The study employed triangulation method by comparing the data obtained through documentation with observation, and observation with interview. The results of the study reveal that (1) teachers’ activities based on the aspects of preparation in Mathematics learning process which affected on the students’ character building can be seen from syllabus arrangement and lesson plan of teachers, (2) teachers’ activities based on the implementation aspect in Mathematics learning process which affected on students’ character building are the teachers applied character education started from opening activity, main activity, and closing activity, (3) teachers’ activities based on the evaluation aspect in Mathematics learning process which affected on students’ character building are through competence of students’ attitude aspect, knowledge aspect such as giving daily examination, and skills. Students’ development can be acknowledged by teachers and parents as well as by students’ themselves. The evaluation of Mathematics learning with character at SMPN 5 Mandai in Maros discrit has been conducted integrated with teaching and learning activity


2016 ◽  
Vol 1 (1) ◽  
pp. 1
Author(s):  
Suraida Suraida

Abstrak Penelitian ini dilakukan karena proses pembelajaran di laboratorium Biologi IAIN STS Jambi yang masih minim sarana prasarana yang ada di laboratorium, sehingga menghambat proses pembelajaran khususnya untuk mata kuliah Morfologi Tumbuhan. Penelitian ini bertujuan mengembangkan buku ajar praktikum dan mengetahui praktikalitasnya. Jenis Penelitian ini adalah penelitian pengembangan (Research and Development) dengan menggunakan 4-D Models yang terdiri dari 4 tahap yaitu Define, Design, Develop dan Disseminate. Karena adanya keterbatasan waktu dan biaya maka tahap disseminate tidak dilakukan. Produk yang dikembangkan berupa buku ajar praktikum yang divalidasi oleh validator. Produk yang telah divalidasi dan dinyatakan valid oleh validator, kemudian diujicobakan pada proses pembelajaran yang bertujuan untuk melihat nilai praktis buku ajar praktikum di laboratorium Biologi. Analisis data yang digunakan adalah data deskriptif untuk memvalidasi perangkat pembelajaran oleh pakar pendidikan. Selain itu juga diteliti data praktikalitas penggunaan perangkat pembelajaran ini yang diperoleh dari observasi dosen dan respon siswa. Nilai validitas produk 83,31% yang dikategorikan valid. Sementara nilai kepraktisan berdasarkan data observasi keterlaksanaan SAP, angket respon dosen dan siswa dikategorikan sangat baik atau sangat praktis. Penelitian menyimpulkan bahwa perangkat pembelajaran di Laboratorium Biologi yang dikembangkan adalah valid dan sangat praktis digunakan baik dosen maupun siswa. Kata Kunci : Pengembangan, buku ajar praktikum, laboratorium biologi Abstract [The development of a course book for plant morphology at biology laboratory] This research was triggered by the limited facilities of the biology laboratory at the State Institute of Islamic Studies Sulthan Thaha Saifuddin Jambi which became a constrain in the teaching and learning process of Plant Morphology classroom sessions. The objective of this research was to develop a course book as well as to reveal its practicality. The researcher did a research and development using 4-D Models consisting of four stages namely; define, design, develop, and disseminate. Considering the limitation of time and finance, the disseminate stage was not executed. The test revealed the validity score of the product was 83,31% which categorized as good. For its practicality, the product was considered as very good based on observation of lesson plan execution and lecturers’ and students’ response. In summary, the course book developed for the course at Biology Laboratory was categorized as valid and practical to be used by both students and lecturers. Keywords: development, a course book, biology laboratory


Author(s):  
Romlah .

IMPLEMENTASI MODEL PEMBELAJARANPENDIDIKAN AGAMA ISLAM DENGAN PENDEKATANKONTEKSTUAL SEBAGAI UPAYA MENINGKATKAN KUALITASPEMBELAJARAN DI SMP NEGERI 13 KOTA MALANGOleh :Romlah *)Fakultas Agama Islam UMMABSTRACTIslamic Education teaching and learning process considerably applied traditional teaching modelsresulting low student’s interest in the subject. It influenced the internalization of Islamic Educationvalues to students. According to the above background, contextual approach was assumed to create amore meaningful and effective teaching and learning process. The study revealed that most teachersdeveloped instructional material merely based on Teacher Association for Islamic EducationReference, a discrepancy between lesson plan and the implementation was found due to insufficienttime and too-much material, and a problem in applying various methods was found due to student’sbasic competence diversity ranging from the 75-80% to 20-25% mastery creating less conduciveatmosphere for effective teaching and learning process. Accordingly, Islamic Education teachersneeded to review the previous materials using questioning technique and point particular students toanswer the questions during the review time to attract more attention.Keywords: Implementation of IslamicEducation Teaching Model, ContextualApproach, Improving the Teaching andLearning Process


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