Tri Atmojo Kusmayadi
Prodi Magister Pendidikan Matematika, Pascasarjana, FKIP – UNS

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DIMENSI METRIK LOKAL PADA GRAF ANTIPRISMA DAN GRAF SUN Khoiriah, Silfiatul; Kusmayadi, Tri Atmojo
Journal of Mathematics and Mathematics Education Vol 8, No 1 (2018): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v8i1.25816

Abstract

Abstract: For example G is a connected and nontrivial graph. The distance between two vertices u and v in G is the shortest path length between vertex u and v which is denoted by d (u, v). For an ordered set of of n vertex and v is a vertex in G, then the representation of vertex v to W is an ordered pair Set W is called as local distinguishing if for each pair of vertex u and v is adjacent to G. Local distinguishing set W with minimum cardinality is called as local metric base and the number of vertex on the local metric base of graph G is called as local metric dimension which is denoted by . In this study, the local metric dimension is determined on antiprism An graph and sun Sn graph. The results reveal that local metric dimension of antiprism graph is  for . Local metric dimension of sun graph is  for even n and  for odd n.Keywords: local metric dimension, antiprism graph, sun graph, local distinguishing set.
PENALARAN MATEMATIS SISWA DALAM PEMECAHAN MASALAH ALJABAR DITINJAU DARI GAYA KOGNITIF FIELD DEPENDENT - FIELD INDEPENDENT Panglipur Yekti, Sherly Mayfana; Kusmayadi, Tri Atmojo; Riyadi, Riyadi
Journal of Mathematics and Mathematics Education Vol 6, No 2 (2016): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v6i2.10064

Abstract

Abstract: The research aims to describe the mathematical reasoning of students with Field Dependent (FI) and Field Independent (FD) cognitive style in solving algebra problems. Type of this research is descriptive qualitative. The cognitive styles of 32 students of class VIII H SMPN 2 Karanganyar were determined using Group Embedded Figures Test (GEFT). Each category of cognitive styles was taken three students with the high, medium, and low scores and were used as research subjects. Data was collected by interview based tasks. Validity of the data used time triangulation. Techniques of data analysis were done by: (1) classfying the data into Polya’s problem solving steps, (2) presenting the data in narrative text, and (3) concluding the students’ mathematical reasoning in each Polya’s problem solving steps. The results of this research showed that mathematical reasoning students with FD cognitive styles in algebra problem solving is: (1) able to identify the problem clearly and completely, (2) able to describe the conditions of the problem, (3) able to connect different elements of information but not perfect. While the mathematical reasoning students with FI cognitive styles in algebra problem solving is: (1) able to identify the problem clearly and completely, (2) able to describe the conditions of the problem, (3) able to connect different elements of information completely, (4) able to apply algebraic concepts that have been studied previously, and (5) able to make conjectures for problem solving strategies but incomplete.Keywords: Mathematical reasoning, algebra problems, cognitive styles
Co-Authors A.A. Ketut Agung Cahyawan W Abdul Aziz Abdul Ghofur Abdul Razak Adeyanto, Rizki Agus Darmawan Ambar Nurhayati Anggrahini Anggrahini Anugrah, Terri Murizki Ardiantoro, Gigih Arianti Puspita Dewi Ariastutik, Endah Arinta Rara Kirana Asip Cakra Buana, Asip Cakra Atik Fitriya N author Ari Suningsih Azizah, Annisa Nur Budi Usodo Desi Gita Andriani Dewi Kurniasari, Dewi Dian N Safitri Dian Panji Wicaksono Dwi A, Yuridis Madyarsa Dwi Yuni Pramugarini Eli Widoyo Retno Endah Wulantina, Endah Farah Umami Farida Nurhasanah Fatmawati, Ulya Fauzi Mulyatna Ferri Ardianzah Fida Rahmantika Hadi, Fida Rahmantika Fina Hanifa Hidayati Fitriana, Laila Frasetyana, Anita Diah Gatut Iswahyudi Habib Ratu Perwira Negara Hafidh Jauhari Hendriyanto, Agus Hermansyah, Beny Hidayah, Irma Rachmah Hidayat, Edisut Taufik Iim Marfuah Ika Wulandari Imam Sujadi Indra Kurniawan Irma Ayuwanti Irnistisia, Firna Juitaning Mustika Juliana Nasution Khoiriah, Silfiatul KOMARUDIN Labiba Zahra, Labiba Linda Sunarya Lingga Nico Pradana Maarten Dolk, Maarten Mardiyana Mardiyana MIFTACHUL ANAS Mishbahul Huda, Mishbahul Muhtarom Nanndo Yannuansa, Nanndo Naraswari, Titania Putri Nataliliana, Claireza Nelly Indriastuti P Nina Nurmasari Nindia Elisie Anggraini Nirawati, Lia Septy Nunung Juwariah, Nunung Nur Anida Laila Nurmalitasari Nurmalitasari Nurul Hidayati Shaliha, Nurul Hidayati Ony Syaiful Rizal, Ony Syaiful Puput Suriyah Putri, Saskia Rizkiana Rahayu Sri W Retno Sari Riyadi Riyadi Rosa Rosdiana Retno H Sani Sahara Sherly Mayfana Panglipur Yekti Sigit Rimbatmojo, Sigit Sri Indayani, Sri Sri Kuntari Sukowiyono Sukowiyono Sumadi, Iman Putra Supriyatin Supriyatin Susmono Susmono Suyono Suyono Tanti Listiani, Tanti Tri Yuliana Tunjung Genarsih, Tunjung Ummi Rosyidah, Ummi Wahyu Astuti Budi Wahyu Nofiansyah, Wahyu Wahyumiarti Wahyumiarti, Wahyumiarti Widi Lestari Winarno, Bowo Wulancar, Elis Dyah Yekti Putri Kusumaningtyas Zara Mertiana RZ