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

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PROSES MEMBANGUN PENGETAHUAN KONSEPTUAL PADA SISWA KELAS VIII DALAM PEMBELAJARAN MATEMATIKA DI SMP NEGERI 1 KUDUS Arisjanti, Nova Ayu; Sujadi, Imam; Kusmayadi, Tri Atmojo
Journal of Mathematics and Mathematics Education Vol 4, No 1 (2014): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract: The objective of this research is to describe the process of conceptual knowledge building of the students in Grade VIII in Mathematics learning at State Junior High School 1 of Kudus. This research used a qualitative case study method. The subjects of the research were three students in Grade VIII of the school with the high, medium, and low academic abilities respectively. The subjects of the research were chosen by using the purposive sampling technique. The data of the research were gathered through passive participatory observations. All of the learning activities were documented by taping them with handy camera. Based on data analysis of the three students in Grade VIII with the high, medium, and low academic abilities respectively in mathematics learning at the cube and cuboid elements at State Junior High School 1 of Kudus are as follows. (1) The process of conceptual knowledge building of the subject of the research with the low academic ability. Initially the knowledge associated with submitted materials teachers are still global. The information and knowledge obtained from doing the exercises, through: (a) visualizing the shape of cube and cuboid into the other shape to identify the elements; (b) making the relation and category classification between cube and cuboid. Doing the other activity, like: (a) learning the note book, handbook, and student’s work sheet; (b) using the complete note book as reference in the learning; (c) attending courses. (2) The process of conceptual knowledge building of the subject of the research with the medium academic ability. Initially knowledge obtained from teacher in the mathematics learning still global. The information and knowledge obtained from doing the exercises, through: (a) making the relation and category classification between cube and cuboid; (b) identifying the side of shape from cuboid through example. Doing the other activity, like: (a) relearning the material; (b) using material from explanation the teacher as reference in the learning; (c) giving certain signs if there are differences in the contents of the learning materials of the books learned; (d) doing the different exercises with example from the teacher; (e) attending courses. (3) The process of conceptual knowledge building of the subject of the research with the high academic ability. Initially acquired knowledge not as detailed as what the teachers explained. The information and knowledge obtained from doing the exercises, through: (a) discussion; (b) visualizing the shape of cube and cuboid into the other shape to indentify the elements; (c) determining criteria of classification the cube and cuboid. Doing the other activity, like: (a) reading the material; (b) doing the exercises from the formula and solution in the handbook; (c) attending courses.Keywords: the process of knowledge building, conceptual knowledge, and mathematics learning.
EKSPERIMENTASI PEMBELAJARAN MATEMATIKA DENGAN MODEL KOOPERATIF MODIFIED JIGSAW PADA POKOK BAHASAN BANGUN RUANG SISI DATAR DITINJAU DARI TINGKAT PERCAYA DIRI SISWA SEKOLAH MENENGAH PERTAMA (SMP) NEGERI SE-KABUPATEN BOJONEGORO TAHUN PELAJARAN 2011/2012 Puspananda, Dian Ratna; Kusmayadi, Tri Atmojo; Usodo, Budi
Journal of Mathematics and Mathematics Education Vol 2, No 2 (2012): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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ABSTRAK Penelitian ini diadakan dengan tujuan untuk mengetahui : (1) Manakah yang menghasilkan prestasi belajar matematika lebih baik, antara model pembelajaran Modified Jigsaw, Jigsaw atau Konvensional, (2) Manakah yang menghasilkan prestasi belajar matematika lebih baik, siswa dengan tingkat percaya diri tinggi, sedang atau rendah, (3) Pada model pembelajaran  Modified Jigsaw, manakah yang menghasilkan prestasi belajar matematika lebih baik, tingkat percaya diri tinggi, sedang atau rendah, (4) Pada model pembelajaran Kooperatif Jigsaw, manakah yang menghasilkan prestasi belajar matematika lebih baik, tingkat percaya diri tinggi, sedang atau rendah, (5) Pada model pembelajaran  konvensional, manakah yang memberi prestasi belajar matematika lebih baik, tingkat percaya diri tinggi, sedang atau rendah, (6) Pada tingkat percaya diri tinggi, manakah yang memberi prestasi belajar matematika  lebih baik, model pembelajaran konvensional, Jigsaw atau Modified Jigsaw, (7) Pada tingkat percaya diri sedang, manakah yang memberi prestasi belajar matematika  lebih baik, model pembelajaran konvensional,  Jigsaw atau Modified Jigsaw, (8) Pada tingkat percaya diri rendah, manakah yang memberi prestasi belajar matematika  lebih baik, model pembelajaran konvensional,  Jigsaw atau Modified Jigsaw.Penelitian ini merupakan penelitian eksperimental semu dengan desain faktorial 3x3. Populasi dalam penelitian ini adalah seluruh siswa kelas VIII SMPN se-Kabupaten Bojonegoro tahun pelajaran 2011/2012. Pengambilan sampel dilakukan dengan cara  stratified cluster random sampling sehingga terpilih tiga sekolah yaitu SMPN 3 Bojonegoro, SMPN 6 Bojonegoro, dan SMPN 7 Bojonegoro. Instrumen yang digunakan untuk mengumpulkan data adalah angket sikap percaya diri dan tes prestasi belajar.Dalam penelitian ini dapat disimpulkan bahwa: (1) Siswa-siswa dengan pembelajaran kooperatif modified jigsaw mempunyai prestasi belajar matematika yang lebih baik daripada siswa-siswa dengan pembelajaran kooperatif jigsaw dan pembelajaran konvensional. Sedangkan siswa-siswa dengan pembelajaran kooperatif jigsaw mempunyai prestasi belajar matematika yang lebih baik daripada siswa-siswa dengan pembelajaran konvensional, (2) Prestasi belajar matematika siswa yang mempunyai percaya diri tinggi lebih baik daripada prestasi belajar matematika siswa yang mempunyai percaya diri sedang dan rendah. Tidak ada perbedaan prestasi belajar matematika antara siswa yang mempunyai percaya diri sedang dan rendah, (3) Pada pembelajaran kooperatif modified jigsaw, tidak ada perbedaan antara prestasi belajar matematika pada masing-masing tingkatan percaya diri, (4) Pada pembelajaran kooperatif jigsaw, tidak ada perbedaan prestasi belajar matematika antara siswa-siswa dengan tingkat percaya diri tinggi dan sedang. Begitu pula dengan prestasi belajar matematika siswa-siswa dengan tingkat percaya sedang dan rendah juga tidak mempunyai perbedaan. Tetapi untuk prestasi belajar matematika siswa-siswa dengan percaya diri tinggi lebih baik daripada prestasi belajar matematika siswa-siswa dengan percaya diri rendah, (5) Pada pembelajaran konvensional, tidak ada perbedaan antara prestasi belajar matematika pada masing-masing tingkatan percaya diri, (6) Pada siswa  yang memiliki percaya diri tinggi, tidak ada perbedaan antara prestasi belajar matematika siswa yang diberi pembelajaran kooperatif modified jigsaw dan pembelajaran kooperatif jigsaw. Akan tetapi prestasi belajar matematika siswa dengan percaya diri tinggi yang diberi pembelajaran jigsaw dan modified jigsaw lebih baik daripada siswa dengan percaya diri tinggi yang diberi pembelajaran konvensional, (7) Pada siswa  yang memiliki percaya diri sedang, prestasi belajar matematika siswa yang diberi pembelajaran kooperatif modified jigsaw lebih baik daripada siswa yang diberi pembelajaran kooperatif jigsaw dan pembelajaran konvensional. Prestasi belajar matematika siswa yang diberi pembelajaran kooperatif jigsaw lebih baik daripada siswa yang diberi pembelajaran konvensional, (8) Pada siswa  yang memiliki percaya diri rendah, tidak ada perbedaan antara prestasi belajar matematika siswa yang diberi pembelajaran kooperatif jigsaw dan pembelajaran konvensional. Akan tetapi prestasi belajar matematika siswa yang diberi pembelajaran kooperatif modified jigsaw lebih baik daripada siswa dengan yang diberi pembelajaran jigsaw dan konvensional.Kata kunci:     Modified Jigsaw, Jigsaw, Konvensional, Percaya Diri Siswa, dan Prestasi Belajar Matematika
EKSPERIMENTASI MODEL PROBLEM BASED LEARNING DAN MODEL PEMBELAJARAN MISSOURI MATHEMATICS PROJECT DITINJAU DARI SIKAP SISWA TERHADAP MATEMATIKA PADA MATERI PERSAMAAN DAN PERTIDAKSAMAAN LINEAR SATU VARIABEL KELAS VII SMP NEGERI SE-KABUPATEN BELITUNG Irnistisia, Firna; Kusmayadi, Tri Atmojo; Riyadi, Riyadi
Journal of Mathematics and Mathematics Education Vol 6, No 1 (2016): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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Abstract: The objective of this research was to investigate the effect of the  learning models on the learning achievement in mathematics viewed from students attitude toward mathematics. The learning models compared were the problem based learning (PBL) type, the cooperative learning model of the missouri mathematics  project (MMP) type, and the direct learning model. This research used the quasi experimental research. Its population was all of the students in Grade VII of State Junior Secondary Schools of Belitung regency in Academic Year 2014/2015. The samples of the research were taken by using the stratified cluster random sampling technique and consisted of 285 students. They were grouped into three classes, namely: 95 students in Experimental Class 1, 96 students in Experimental Class 2, and 94 students in Control Class. The instruments to gather the data were test of achievement in learning mathematics and the students attitude toward mathematics questionnaire. The proposed hypotheses of the research were analyzed by using the two way analysis of  variance with unbalanced cells. The results of the research were as follows. 1) The cooperative learning model of the PBL type results in a better learning achievement in Mathematics than the cooperative learning model of the MMP type  and  the  direct  learning  model,  the cooperative  learning  model of  the  MMP type results in a better learning achievement in Mathematics than the direct learning model. 2)  The  students  with  the high attitudes toward mathematics have a better learning achievement in mathematics than those with the moderate students attitudes toward mathematics and  those with  the low students attitudes toward mathematics, the students with the moderate attitudes toward mathematics have a better learning achievement in mathematics than those with the low students attitudes toward mathematics. 3) There was an interaction the aforementioned learning models and the categories students attitude toward mathematics on the learning achievement in mathematics of the students.Keywords: PBL, MMP, and students attitude toward mathematics.
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
Publisher : Journal of Mathematics and Mathematics Education

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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
PROSES BERPIKIR SISWA KELAS IX SEKOLAH MENENGAH PERTAMA YANG BERKEMAMPUAN MATEMATIKA TINGGI DALAM MEMECAHKAN MASALAH MATEMATIKA Kusmayadi, Tri Atmojo; Sujadi, Imam; Muhtarom, Muhtarom
Journal of Mathematics and Mathematics Education Vol 2, No 1 (2012): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

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 ABSTRAK This study aim to describe the students’ thinking process of 9th grade of Junior High School has a high mathematics capability in solving the mathematics problem based on Polya rule.This study is qualitative descriptive research. The criteria of subject selection included the students’ has a high mathematics capability and communication fluency both spoken and written. The data collection was done using written test and task-based interview techniques. Data analysis done based on written test data and task-based interview techniques data. And then it has been done the method triangulation to get valid subject data. Finally, the result of description thinking process as follows: students with high mathematics capability, in understanding problem using assimilation thinking process, make a plan using assimilation and accommodation thinking process. Assimilation thinking process can be identified when the students can mention the prerequisite material, can directly relate the sides kite (BF = FG) and can directly develop problem solving plan. Meanwhile, accommodation thinking process can be seen when the students drew an auxiliary line from E to the right thereby intersecting with CD line (the intersection was labeled H point), so devided trapezoid AEDG become right triangle EHG and rectangle AEHD. In carrying out a plan and in looking back at the completed solution, the students used assimilation thinking process. Keywords: thinking process, mathematics problem, and problem solving.