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

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v4i1.10000

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.

PROSES BERPIKIR SISWA TUNAGRAHITA RINGAN DALAM MEMECAHKAN MASALAH MATEMATIKA BENTUK SOAL CERITA PADA OPERASI HITUNG CAMPURAN Muhlishotul Hidayah; Imam Sujadi; Pangadi Pangadi
Journal of Mathematics and Mathematics Education Vol 4, No 1 (2014): Journal of Mathematics and Mathematics Education
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v4i1.9990

Abstract: The aim of this research was to describe the thinking process of students with mild mental retardation in solving mathematics problems concerning with story questions in a mixed arithmetic operation. This research was a qualitative case study. The subjects of this research were the students of VIII C SLB Negeri Surakarta consisting of two students: a male and a female students. The procedure of selecting the subject used purposive sampling. The data of the research were collected by using think aloud method. To validate the data, the researcher used time triangulation. The techniques of analyzing the data were: (1) classifying the data into four categories based on Santrock steps: (a) finding and framing the problem, (b) developing problem-solving strategies, (c) evaluating solutions, and (d) rethinking and redefining the problem and solutions, and then reducing the data that are not included in four categories, (2) presenting the data in table, and (3) concluding thinking process of students with mild mental retardation in each category. The results of the research showed that: (a) finding and framing the problem: The two students began the activities by reading the questions, then the students kept silent while reexamining the questions, the students could not mention what was known and what was asked, the students waited for the instruction about what to do, the students could only reveal some information on what was known. To find out the information asked, the one of students got difficulty in mentioning what was asked shown by silent respond then read the questions again, and another student reexamined the questions and revealed the answers related to arithmetic operations. In framing the problem-solving strategy, these two students needed guidance to make strategy by linking the arithmetic operations, and another student also expresses problem-solving strategies that were not appropriate on the first step, (b) developing problem-solving strategies: these two students needed guidance in solving problems, another student solved problems based on the strategy that had been compiled by linking the arithmetic operations, while another student got difficulties when implementing different strategies. In the process of calculating, the students completed the calculation by compiling it downwards, and the students tended to use their hands as a means of calculation, (c) evaluating solutions: the student checked the answer by recalculating the answer, while another student only looked the answer at glance and believed in the answer, (d) rethinking and redefining the problems and solutions: these two students looked at the answer and revealed that no other idea/way in solving the problem.Key words: thinking process, mild mental retardation, problem solving, story questions.

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v2i1.9948

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.

TINGKAT RESPON BERDASARKAN TAKSONOMI SOLO SISWA KELAS VIII YANG MENGALAMI MISKONSEPSI PADA TOPIK FAKTORISASI SUKU ALJABAR DI SMP NEGERI 5 KARANGANYAR PADA TAHUN PELAJARAN 2013/2014 Fauzi Mulyatna; Imam Sujadi; Tri Atmojo Kusmayadi
Jurnal Pembelajaran Matematika Vol 4, No 1 (2016): Pembelajaran Matematika
Publisher : Jurnal Pembelajaran Matematika

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Abstract: The objectives of this research were to identify and to describe about misconceptions, and to find out the levels of response of VIII grade students of SMP N 5 Karanganyar experiencing misconceptions about factorization of the tribe in algebra based on SOLO taxonomy. This research was categorized as a qualitative research using a case study design which was only focused on one selected and comprehended phenomenon deeply, and neglecting other phenomena. This particular phenomenon was the response level based on SOLO taxonomy of VIII grade students of SMP N 5 Karanganyar experiencing misconceptions about factorization of the tribe in algebra. The subject of this research were VIII grade students of SMP N 5 Karanganyar. The criteria to choose the main subject of the research were that the students had learnt a topic about factorization of the tribe in algebra and the main subject were taken based on test results by using CRI technique and the teacher’s recomendation. The data in this research were in the form of the students’ written answer results in finishing the problem solving test. The result of those written answers became the first data analysis of the researcher. Those first data analysis were in the form of description about misconceptions experienced by the subject and the levels of the subject’s response based on SOLO taxonomy in each problem. Those first data analysis were also used as a guide to do interviews. The interviews were both to clarify the subject’s written answers and to strengthen the data finding of the first data analysis. Then the results of the subject’s written answers and the results of the data analysis from the interview were drew conclusions. The triangulation technique was used as the validity of the data in the planning of the learning process by using problem solving test which was later clarified by the interview. The results of this research are follows. 1) The misconceptions experienced by the subject: the misconception in the use of the equal sign symbol (=), the subject were mistaken in interpreting the instruction order from left to right and the equals sign symbol (=) was wrongly interpreted as implication (⇒) to show the name which represented value and calculation with different results; the misconception of the substraction in algebra, it was a procedural misconception in the use of distributive rules by neglecting the minus sign; the misconception of the multiplication in algebra, it was a procedural misconception in the use of distributive rules by doing multiplication only in the first set when working with multiplication formula in algebra. 2) The levels of the subject’s response experiencing misconceptions were on the levels of multi-structural, uni-structural and pre-structural level.Keywords: Misconception, response level, SOLO taxonomy

PROSES BERPIKIR KREATIF SISWA CLIMBER DALAM PEMECAHAN MASALAH MATEMATIKA PADA MATERI PELUANG Indra Kurniawan; Tri Atmojo Kusmayadi; Imam Sujadi
Jurnal Pembelajaran Matematika Vol 3, No 6 (2015): Pembelajaran Matematika
Publisher : Jurnal Pembelajaran Matematika

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Abstract: This study aimed to describe the process of creative thinking of students in XI grade IPA-2 SMA Negeri 1 Polanharjo that have AQ climber characteristic in the mathematics problem solving in quiet materials based on Wallas steps, they are: preparation, incubation, illumination and verification. The approach t used in this study is qualitative approach. The collecting data in this study used task based on interview method. The process of creative thinking of the climber student in the mathematics problem solving in probability materials, are: (1) in the preparation step, students were enthusiastically when they were given problem solving task. The students explain the case that they knowed and asked in complete and correct with some way, that were: (a) writing the steps and changing into examples, (b) just writing the steps, (c) just changing the case that known in examples; (2) in the incubation step, when the students are understanding probability of event, they: (a)are practising that probability, (b) focus to understand on the problem, (c) less focus to understand on the problem. Then students get an idea by making a complete diagram then multiply the possibilities of occuring on the first and second taking; (3) in the illumination step, student counts probability values are based on complete diagram to sum possibillity of the relevant probability. Students get the new way, that: (a) are the uncomplete diagram and probability formulas, (b) the uncomplete diagram, (c) probability formulas. Students explain the origin of the new way found. Students finish the problem with the new way; (4) in the verification step, students retest all the cases having done befound and corrected the obtained probability values using the old and new way, both of them get the same and correct result.Keywords: creative thinking, problem solving, and climber.

EKSPERIMENTASI MODEL PEMBELAJARAN DISCOVERY LEARNING, SNOW BALLING, DAN PROBLEM BASED LEARNING DENGAN PENDEKATAN SAINTIFIK PADA MATERI HIMPUNAN DITINJAU DARI GAYA BELAJAR SISWA SMP SWASTA DI KABUPATEN PONOROGO TAHUN PELAJARAN 2014/2015 Ahmad Husni Mubarok; Tri Atmojo Kusmayadi; Imam Sujadi
Jurnal Pembelajaran Matematika Vol 4, No 4 (2016): Pembelajaran Matematika
Publisher : Jurnal Pembelajaran Matematika

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Abstract: The purpose of this research was to investigate the impact of the learning model toward student’s mathematics achievement seen from student’s learning style. The learning models compared were Discovery Learning, Snow Balling and Problem Based Learning using scientific approach (DL-S, SB-S, and PBL-S). This research was the quasi experimental with factorial design 3x3. The populations of this research was students at eight grade of private Junior High school in Ponorogo in the academic year of 2014/2015. The size of the sample was 336 students, consisted of 115 students in the first experimental group, 107 students in second experimental group and 114 students in third experimental group. The instruments consisted of learning achievement test and questionnaire of learning style. Hypotheses testing was performed using two-way analysis of variance with unbalanced cells. The results of the research were. (1) Learning achievement using DL-S learning model is better than that of SB-S, learning achievement using DL-S learning model is better than that of PBL-S, SB-S and PBL-S learning model have the same achievement. (2) Visual students have better mathematics achievement than auditory and kinesthetic students, auditory and kinesthetic students have the same achievement (3) In visual, auditory, and kinesthetics students, DL-S have better achievement than SB-S and PBL-S, SB-S and PBL-S have the same achievement. (4) In DL-S, SB-S, and PBLS, visual and auditory students have better achievement than kinesthetics students, auditory and kinesthetics students have the same achievement.Keywords: scientific approach, DL-S, SB-S, PBL-S learning, learning style, learning achievement

EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE GROUP INVESTIGATION, THINK-PAIR-SHARE, DAN PROBLEM BASED LEARNING DENGAN PENDEKATAN SAINTIFIK PADA MATERI EKSPONEN DAN LOGARITMA DITINJAU DARI KREATIVITAS SISWA KELAS X SMA NEGERI KABUPATEN PACITAN Suprapto Suprapto; Tri Atmojo Kusmayadi; Imam Sujadi
Jurnal Pembelajaran Matematika Vol 3, No 5 (2015): Pembelajaran Matematika
Publisher : Jurnal Pembelajaran Matematika

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Abstract: The aim of this research was to know the influence of teaching and learning models with the scientific approach toward the students’ achievement in learning mathematics considered from the creativity of the students. Teaching and learning models to be compared were GI, TPS, and PBL. This research was chategorized as a quasi experimental research. The population was all students of grade X MIA public SMAs in Pacitan regency in the year 2014/2015. The sampling technique used was stratified cluster random sampling. The method of data collection were documentation, questionaire, and test. Hypothesis testing was performed using two-way analysis of variance with unequal cells. The conclusions of this research were as follows. 1. The students’ achievement in mathematics given GI-S model was better than those who were given TPS-S model, while the students’ achievement given GI-S was the same as those who were given PBL-S model, and the students’ achievement given TPS-S model was the same as those who were given PBL-S model; 2. The mathematics achievement of the students who had high level creativity was the same as those who had medium level creativity, while those who had high level creativity was better than those who had low level creativity, and the students with medium level gave the same achievement as those with low level creativity; 3. In high level creativity, the students’ achievement in learning mathematics using GI-S model was the same as those using TPS-S and PBL-S models. In medium level creativity, the students using GI-S model gave the same achievement as those using TPS-S and PBL-S models, but the students’ achievement using PBL-S model was better than using TPS-S model. In low level creativity, the students who learned mathematics using GI-S model gave the same achievement as those who used TPS-S and PBL-S models, and the students’ achievement using TPS-S model was the same as those using PBL-S model; 4. In learning mathematics using GI-S model, the students with high, medium, and low level creativity gave the same achivement. In using TPS-S model, the students with high, medium, and low level creativity gave the same achievement. In using PBL-S, the students with high level creativity had the same achievement as those who had medium and low level creativity, but the students with medium level creativity gave better achievement than those who had low level creativity.Keywords: Group Investigation (GI), Think Pair Share (TPS), Problem Based Learning (PBL), Scientific approach, Creativity

Analisis Proses Pembelajaran Matematika Berdasarkan Kurikulum 2013 pada Materi Pokok Peluang Kelas X SMA Negeri 1 Surakarta Adi Wahyu Kuncara; Imam Sujadi; Riyadi Riyadi
Jurnal Pembelajaran Matematika Vol 4, No 3 (2016): Pembelajaran Matematika
Publisher : Jurnal Pembelajaran Matematika

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Abstract: The aims of research was to describe the teacher understanding of 2013 curriculum-based learning process and assessment, learning process and assessment based on the 2013 curriculum in main subject of probability in classroom X SMA Negeri 1 Surakarta. This research used the qualitative method with the case study approach, by deeply studying the learning activities so as to describe the learning process taking place in the mathematics learning, especially the material of probability. The subject of research was mathematics teacher of the tenth grade of SMA Negeri 1 Surakarta with the criterion of having attended the training about 2013 curriculum. The data in this study were: (i) teacher’s understanding of the learning and assessment process based on 2013 curriculum (ii) mathematics learning process that imparting knowledge, attitudes, and skills with scientific approach (iii) the assessment process of knowledge, attitudes, and skills. Step analysis of the data in the study carried out in three stages, namely data reduction, data presentation, and withdrawal conclusion. The results of this study are as follows. (i) The learning process in curriculum 2013 was centered on the students, and the teacher merely functions as a facilitator. In addition, the learning process was not the only aspect of the knowledge imparted to students but the learning process in 2013 curriculum inculcate attitudes and skills aspects as well. According to teacher, assessment process using the aspects of knowledge, it can be a matter of testing and instrument description, aspects of attitude by observing and instrument in the form of sheets of observations, as well as aspects of skills with the practice tests or portfolios and instrument in the form of a rubric. (ii) Observed activities carried out by asking the students to listen to the explanation given by the teachers. The questioning activities carried out by asking questions to the students related to the material being studied. Information gathering activities that occur are students reading books and worksheets to answer the question or questions given by teacher. In this information gathering activities of teachers instill active attitude to the students. Inform process activities occur that students use information obtained from books and worksheets to answer the questions given by the teacher. On inform process activities, teachers inculcate cooperation and responsibility to the students. Communicated activities carried out by asking students to write the results of group discussions in class. (iii) Knowledge assessment process conducted by giving a quiz to the student at the end of learning and the instrument that is used in the form of a description. The attitude assessment process was carried out during the learning process. Teachers assess students attitudes to the observation technique. Skills assessment process were carried out during the learning process. Teachers assess students skills when communicating with the activities of the students and see the results of the discussion by looking at the results of the quiz given to students.Keywords : mathematics learning process, scientific approach, assessment process, curriculum 2013

PENALARAN MATEMATIS SISWA DALAM PEMECAHAN MASALAH PADA MATERI POKOK FAKTORISASI BENTUK ALJABAR DI KELAS VIII SMP NEGERI 1 SURAKARTA Siti Suprihatiningsih; Imam Sujadi; Dewi Retno Sari S
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
Publisher : Jurnal Pembelajaran Matematika

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Abstract: The purposes of this study were to describe: (1) the students with high-ability mathematical reasoning on problems solving of algebra factorization in eighth grade students of SMP Negeri 1 Surakarta, (2) the students with moderate-ability mathematical reasoning in problem solving of algebra factorization of eighth grade students of SMP Negeri 1 Surakarta, (3) the students with low-ability mathematical reasoning in problem solving of the algebra factorization material in eighth grade students of SMP Negeri 1 Surakarta. This research was a qualitative case study type. The research subjects were taken from eighth grade students of SMP Negeri 1 Surakarta. The subjects amounted to 9 students consisting of 3 students with high ability, three students with moderate ability, and 3 students with low ability. The research data were in the form of written and oral data. Written data were obtained from the research subject test on written test instruments. The oral data obtained from the think aloud verbal conducted by researchers to the study subject. The techniques of analyzing the data were: (a) data reduction (b) presention of data (c) conclusion. The results showed that the students with high-ability reasoning mathematical were: (a) understand the problem, the students read the questions carefully and write down the information that is known of the problem and write down what was being asked of the problem; (b) present the mathematical expressions and perform calculations, students write a mathematical equation to calculate by used the operations of addition, subtraction and multiplication algebra fluently; (c) submit the notion and manipulation of mathematics, students write the answer to determine the length and width of the rice field by factoring and write down the factoring results that obtained; (d) drawn the conclusions, students write the length and width of the rice fields and multiplying the factoring results obtained to convince answers that obtained. The students with moderate-ability reasoning mathematical were: (a) understand the problem, students read the question after it write down the information that was known from the problem and write down what was being asked of the problem; (b) present the mathematical expressions and perform calculations, students write a mathematical equation to calculate by using the operations of addition, subtraction and multiplication algebra although this was used long time to write mathematical expressions and perform calculation, but students were get the expected rice fields wide. The students with low-ability mathematical reasoning were: understand the problem, students read again and again but still confused after it write down the information that was known from the problem and write down what was being asked of the problem. Keywords: mathematics, reasoning, problem solving

EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAMS GAMES TOURNAMENTS (TGT) DENGAN METODE DISCOVERY PADA MATERI BANGUN RUANG SISI DATAR DITINJAU DARI KEMAMPUAN SPASIAL SISWA KELAS VIII SMP NEGERI DI KABUPATEN ROKAN HULU TAHUN PELAJARAN 2013/2014 Nurrahmawati Nurrahmawati; Budiyono Budiyono; Imam Sujadi
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
Publisher : Jurnal Pembelajaran Matematika

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Abstract: The purpose of this study are to determine the effect of the learning models on the learning achievement in Mathematics viewed from the spatial intelligence of the students. The learning models compared were the cooperative learning model of the TGT type with discovery method, the cooperative learning model of the TGT type, and the direct instruction model. The type of this study was a quasi-experimental study with a 3x3 factorial design. The study population was all grade VIII students of Junior High School in Rokan Hulu Regency. Instruments used for data collection were mathematics achievement test and spatial intelligence test. Based on the hypothesis, the results could be concluded as follows. (1) Students who were treated with the Teams Games Tournaments (TGT) cooperative learning model with discovery method had better learning achievement than students treated by TGT models and direct instruction model. In addition, students who were treated with the TGT model gave the same achievement with students treated by direct instruction model. (2) Students with high spatial intelligence had better learning achievement than the students with middle and low spatial intelligence. In addition, students who had middle spatial intelligence have better learning achievement than students who had low spatial intelligence. (3) In the spatial intelligence category of high, middle and low, the students’ learning achievement treated Teams Games Tournaments (TGT) cooperative learning model with discovery method was better than the students treated by TGT and direct instruction models. In addition, students treated by TGT model gave the same learning achievement with students treated by direct instruction model. (4) In the Teams Games Tournaments (TGT) cooperative learning model with discovery method, TGT model and direct instruction model, the students who had high spatial intelligence had better learning achievement than middle and low spatial intelligence. In addition, the students who had middle spatial intelligence had better learning achievement than students who had low spatial intelligence.Keywords: Teams Games Tournaments (TGT), Disccovery Method, Spatial Intelligence.

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