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Journal : Jurnal Elemen

Missouri Mathematics Project (MMP), Pemahaman Konsep Matematika, dan Kepercayaan Diri Siswa Pratiwi, Ni Pande Kadek Ayu; Astawa, I Wayan Puja; Mahayukti, Gusti Ayu
Jurnal Elemen Vol 5, No 2 (2019): Jurnal Elemen
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (481.594 KB) | DOI: 10.29408/jel.v5i2.1317

Abstract

This study aims to examine the effect of MMP learning models on understanding mathematical concepts and student confidence. The population of this study was students of class XI MIPA SMA Negeri 1 Semarapura academic year 2018/2019. The research instrument used was a test of understanding mathematical concepts and self-confidence questionnaires. This study is a quasi-experimental design with post-test only control group design. Data were analyzed using one-way multivariate variance analysis. The results showed that there were significant differences in the understanding of mathematical concepts and simultaneous self-confidence of students who followed the conventional MMP learning model. Furthermore, there were significant differences in understanding mathematical concepts and self-confidence of students who followed the conventional MMP learning model. From indicators of understanding concepts, classes with MMP and conventional learning models excel at indicators expressing concepts in their own words and weak on indicators identifying examples and not examples of concepts. Based on the aspect of self-confidence, the class with the MMP learning model is superior in the aspect of being responsible and weak in the optimistic aspects. Whereas, classes with conventional learning models excel in rational and realistic aspects, and are weak in aspects of self-ability confidence.
KESULITAN SISWA DALAM MEMBUKTIKAN MASALAH KESAMAAN DAN KETIDAKSAMAAN MATEMATIKA MENGGUNAKAN INDUKSI MATEMATIKA Astawa, I Wayan Puja; Sudiarta, I Gusti Putu; Suparta, I Nengah
Jurnal Elemen Vol 6, No 1 (2020): Jurnal Elemen
Publisher : Universitas Hamzanwadi

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

Abstract

Mathematical similarities and inequalities are common mathematical statements related to numbers whose truth can be proven by mathematical induction. Proving by mathematical induction involves two main steps, namely the basic step and the induction step. The study of mathematical induction related to similarity and inequality is very important and is still relatively limited in quantity. This study aims to determine whether there are significant differences in students' ability to prove mathematical statements using mathematical induction on mathematical similarities and inequalities problems and identify misconceptions. The study was conducted with a mixed method. A sample of 117 students from two high schools in the city of Singaraja was selected by a random cluster technique to obtain quantitative data. Meanwhile, the research subjects were two students selected based on the misconceptions shown to obtain qualitative data. Quantitative data on the ability to prove the similarity and inequality problems using mathematical induction was collected by written tests and qualitative data on misconceptions were collected by interview. Quantitative data were analyzed by a paired group t-test and by z test for proportions. Meanwhile, qualitative data were analyzed by content analysis of students' works to identify their misconceptions. The results showed that proving the mathematical induction of the inequality problem was more difficult than proving the similarity problem. This difficulty occurs both in the basic step and the induction step. Misconceptions arise due to the fallacy of analogies and interpretations of mathematical notation.
Missouri Mathematics Project (MMP), Pemahaman Konsep Matematika, dan Kepercayaan Diri Siswa Ni Pande Kadek Ayu Pratiwi; I Wayan Puja Astawa; Gusti Ayu Mahayukti
Jurnal Elemen Vol 5, No 2 (2019): July
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v5i2.1317

Abstract

This study aims to examine the effect of MMP learning models on understanding mathematical concepts and student confidence. The population of this study was students of class XI MIPA SMA Negeri 1 Semarapura academic year 2018/2019. The research instrument used was a test of understanding mathematical concepts and self-confidence questionnaires. This study is a quasi-experimental design with post-test only control group design. Data were analyzed using one-way multivariate variance analysis. The results showed that there were significant differences in the understanding of mathematical concepts and simultaneous self-confidence of students who followed the conventional MMP learning model. Furthermore, there were significant differences in understanding mathematical concepts and self-confidence of students who followed the conventional MMP learning model. From indicators of understanding concepts, classes with MMP and conventional learning models excel at indicators expressing concepts in their own words and weak on indicators identifying examples and not examples of concepts. Based on the aspect of self-confidence, the class with the MMP learning model is superior in the aspect of being responsible and weak in the optimistic aspects. Whereas, classes with conventional learning models excel in rational and realistic aspects, and are weak in aspects of self-ability confidence.
Kesulitan Siswa dalam Membuktikan Masalah Kesamaan dan Ketidaksamaan Matematika Menggunakan Induksi Matematika I Wayan Puja Astawa; I Gusti Putu Sudiarta; I Nengah Suparta
Jurnal Elemen Vol 6, No 1 (2020): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v6i1.1746

Abstract

Mathematical similarities and inequalities are common mathematical statements related to numbers whose truth can be proven by mathematical induction. Proving by mathematical induction involves two main steps, namely the basic step and the induction step. The study of mathematical induction related to similarity and inequality is very important and is still relatively limited in quantity. This study aims to determine whether there are significant differences in students' ability to prove mathematical statements using mathematical induction on mathematical similarities and inequalities problems and identify misconceptions. The study was conducted with a mixed method. A sample of 117 students from two high schools in the city of Singaraja was selected by a random cluster technique to obtain quantitative data. Meanwhile, the research subjects were two students selected based on the misconceptions shown to obtain qualitative data. Quantitative data on the ability to prove the similarity and inequality problems using mathematical induction was collected by written tests and qualitative data on misconceptions were collected by interview. Quantitative data were analyzed by a paired group t-test and by z test for proportions. Meanwhile, qualitative data were analyzed by content analysis of students' works to identify their misconceptions. The results showed that proving the mathematical induction of the inequality problem was more difficult than proving the similarity problem. This difficulty occurs both in the basic step and the induction step. Misconceptions arise due to the fallacy of analogies and interpretations of mathematical notation.
Co-Authors ., Desak Putu Novia Dewi ., Kurniawan Cahyanto ., Ni Made Irma Dwi Purnamayanti ., Ni Putu Novia Krisna Dewi ., Ni Wayan Arisujati Agung Novi Kusuma Dewi Anis Azizah Cahyady, Fendy Anggara Desak PT Novia Dewi Desak Putu Novia Dewi . Dewa Gede Agung Putra Nugraha Dr. I Made Sugiarta, M.Si. . Drs.Djoko Waluyo,M.Sc . Dwi Juniati Dwi Juniati Fendy Anggara Cahyady Feny Agustina Dewi Gede Pande Suarcita Gede Suweken Githa, P. S Gusti Ayu Mahayukti Gusti Ayu Mahayukti I Gst Nyoman Yudi Hartawan I Gst Nyoman Yudi Hartawan I Gst Putu Sudiarta I Gusti Ayu Purnamayanti I Gusti Nyoman Yudi Hartawan I Gusti Putu Suharta I Gusti Putu Suharta I Kadek Yasa Sumalasia I Ketut Budayasa I Made Adi Wira Nata Putra I Made Ardana I Made Suarsana I Made Suarsana I Nyoman Sukajaya I Wayan Ari Sadewa Ida Ayu Gede Sri Wahyuni Ida Ayu Gede Sri Wahyuni Iswara, Dw. Md. Ananda Dian Juliantara, Kadek Dwiki Juniarta, I Wayan Dika kertiani, wayan Kurniawan Cahyanto . Kusuma dewi, Luh Gede Ananda Kusuma Sari, I G A Sri Luh Gede Ananda Kusuma dewi Muhammad Turmuzi N. K Sri Widya Lestari N.Yaditya Permana Yasa Ni Luh Heni Purnamayanti Ni Made Erlinta Devi Ni Made Irma Dwi Purnamayanti . Ni Made Sukma Pebriyanti Ni Nyoman Wulan Darma Putri Ni Pande Kadek Ayu Pratiwi Ni Putu Novia Krisna Dewi . Ni Wayan Arisujati . Ni Wayan Oktavianti Oktavianti, Ni Wayan P. S Githa Pratiwi, Ni Pande Kadek Ayu Prof. Dr.I Nengah Suparta,M.Si . Putu Mirah Purnama Dewi Qurrotul Aini Qurrotul Aini RAHADI, I WAYAN SELAMET Rangu, Martinus Darto Sariyasa . Sitepu, Lulu Agatha Br Sri Widya Lestari, N. K Suarcita, Gede Pande Supratman, Mohamad wayan kertiani Wayan Puja Astawa Yasa, N.Yaditya Permana