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All Journal Widya Warta PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika Al-Jabar : Jurnal Pendidikan Matematika
Vigih Hery Kristanto
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Education Mathematics

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Journal : PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika

 1 
PENGEMBANGAN MEDIA PEMBELAJARAN MENGGUNAKAN GEOGEBRA PADA SUB POKOK BAHASAN GARIS SINGGUNG PERSEKUTUAN DUA LINGKARAN Rohmawati, Elok; Kristanto, Vigih Hery
PYTHAGORAS : Jurnal Program Studi Pendidikan Matematika Vol 7, No 1 (2018): PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika
Publisher : UNIVERSITAS RIAU KEPULAUAN, BATAM, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (645.944 KB) | DOI: 10.33373/pythagoras.v7i1.1186

Abstract

This research is a development research that aims to to find out the process and result of development of learning media of mathematics using Geogebra on sub subject of tangent alliance of two circles. Supporting devices used are RPP, BKS, BPG, and THB. The chosen development stage is Research and Development (R D) which has been modified by adding Nieveen criteria that is valid, practical and effective. Data collection techniques used questionnaires, observation sheets and tests. According to the criteria of practicality, it is known that the questionnaire of ease of using media reaches 79.8%. The operation of this media is so easy that it's easy to remember and can be used as a tool to learn the material. Questionnaires the role of teachers reached 81%. By using the teacher's activity media in explaining the material to be a little, because the students are more observing, summing up opinions, and working on the problem, so the teacher's interaction with the students is minimal, and the material explanation is enough to use the media. Observation sheet minimizes teacher's role by 76.95%. From the observer observation the students observed more, no difficulties in the use of media. However, learning cannot be finished as in RPP. According to the effectiveness criteria seen from the test of student learning outcomes so that the mastery of classical reach 35%. This is because learning is too focused on observation and discovery of the formula so that students do not practice in doing the problem. From this research, there are several findings, namely: learning media using Geogebra, supporting tool, namely RPP, BKS, BPG, THB and instrument have validity level on valid criteria, learning media using Geogebra is easy to use, learning media using Geogebra with supporting device can minimize the role of teachers so that the media meet the practical criteria. The test of learning outcomes has not been completed in a classical manner because the classical completeness does not reach 75% upwards, meaning that the media has not met the effective criteria.
ANALISIS TAHAP PEMBUKTIKAN TEOREMA STEWART PADA MAHASISWA PROGRAM STUDI PENDIDIKAN MATEMATIKA UNIVERISTAS KATOLIK WIDYA MANDALA MADIUN Kristanto, Vigih Hery
PYTHAGORAS : Jurnal Program Studi Pendidikan Matematika Vol 7, No 2 (2018): PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika
Publisher : UNIVERSITAS RIAU KEPULAUAN, BATAM, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (669.586 KB) | DOI: 10.33373/pythagoras.v7i2.1316

Abstract

The purpose of this research was to find out how the stage of proofing the Stewart theorem was conducted by students of the Mathematics Education Department at Catholic Widya Mandala University of Madiun. This type of research is qualitative research with descriptive data analysis. The number of research subjects consisted of three students. This study describes the stage of proofing Stewart's theorem by students. The data collection process begins with the subject being asked to prove Stewart's theorem and write down the process of proving Stewart's theorem on the answer sheet provided. From the results of data collection, it was found that the verification process carried out by the three students used the direct verification method, there were some similarities between the three students in initiating the verification process, namely: drawing a high line on a triangle and using the pythagoras theorem to add information used in the verification process, to proving that Stewart's theorem required precision when describing an algebraic form and understanding of algebraic concepts from numbers, to prove Stewart's theorem needed time according to the speed of thinking that proves, to prove the Stewart theorem required problem solving skills, logical thinking, critical, analytical and systematic. Thus it can be concluded that, in general the steps of proving Stewart's theorem carried out by students of the Mathematics Education Department, starting with drawing ABC triangles and also describing auxiliary lines (high of CE), collecting information used in the verification process, then use the information obtained to describe the shape of the right side of the equation  becomes the left hand side, so that the equation applies.
Co-Authors Marcellinus Andy Rudhito Resty Rahajeng Rohmawati, Elok Santoso, Fransiskus Gatot Iman