1,721,055 research outputs found
Berpikir Pseudo Penalaran Kovariasi dalam Mengkonstruksi Grafik Fungsi Kejadian Dinamik: Sebuah Analisis Berdasarkan Kerangka Kerja VL2P dan Implikasinya pada Pembelajaran Matematika
No full textThis article discusses the thinking process of pseudo covariational reasoning in constructing graphs of dynamic events. The reasoning is examined using the VL2P framework (Vinner, Lithner, Leron, and Pape). The thinking process of one student taking Calculus II course was analysed, followed with interviews, revealing that at the low level, the pseudo covariational reasoning was close to Vinner’s pseudo analytic; that higher level of reasoning was equal to Lithner’s Establish Experience; that the reasoning was dominantly affected by the first process of Leron’s Dual Process Theory; and that it took place when direct translation was involved consistent with Pape’s Direct Translation Approach. These suggest that process view be emphasized in mathematics teaching and learning
Analisis Kemampuan Literasi Matematika Peserta Didik pada Materi Program Linear dalam Pembelajaran Daring
No full textMathematical literacy skills indicate an individual's capacity to formulate, employ, and interpret and evaluate mathematics. Mathematical literacy skills are in line with numeracy skills which are an important component in solving problems in everyday life. The purpose of this study is to describe achievement of mathematics literacy skills in terms of aspects of the mathematical process in subject linear programming in online learning. This research is qualitative research with a descriptive approach. The data was collected by means of tests of mathematical literacy skills and interviews. The research subjects were 16 students of class XI MIPA 2 SMA Negeri 1 Gresik in the academic year 2020/2021. The results of this study in “Jajanan Tradisional†problem obtained an average score of formulate, employ, and interpret and evaluate are 89%, 68%, and 48%; whereas in “Gizi†Problem the average formulate’s score was 73%, employ’s score was 51%, and interpret and evaluate’s score was 21%. The achievement of students mathematical literacy test scores in “Jajanan Tradisional†problem was higher than students mathematical literacy test scores in “Gizi†Problem. Most of the students had not used diagrams, graphs and mathematical constructs, and took mathematical information from them. Most students only interpret mathematical results back to the real-world context without analyzing mathematical conclusions that make sense or not to the context of the problem, do not check the boundaries of mathematical concepts and mathematical solutions, and do not identify the limitations of the models used to solve problems
Analisis Penerapan Inkuiri Secara Daring dengan Scaffolding Berbantuan Geogebra Materi Fungsi Kuadrat
Full text linkThis study aims to analyze and describe the application of online inquiry learning with the GeoGebra-assisted scaffolding technique on quadratic function material in grade IX students at SMP Negeri 1 Malang. This research is a qualitative descriptive study, with the instruments used in the form of a learning implementation sheet, student activity sheets, student learning outcomes tests, questionnaires, and interviews. The results showed that learning according to the steps of inquiry had gone very well with an average implementation score of 94.5. Learning is carried out by scaffolding through questions directed at focusing, inviting, reminding, clarifying, and evaluating so that it is compatible with inquiry learning which is applied online. Student learning outcomes reached an average score of 73 daily tests in the good category
Analysis Of Student Positioning In Group Discussions On The Material Of Functional Relations To Students Activeness
Full text linkGroup discussions are an effective teaching method for enhancing collaboration and student understanding through social interaction. In this process, each group member not only contributes ideas but also actively positions themselves within the group's social structure. Positioning theory explains that the position one adopts during interactions, whether consciously or unconsciously, influences roles, power, and the dynamics of the discussion, ultimately affecting the outcomes and contributions of each member. This research aims to describe the patterns of student positioning in group discussions on the topic of function relations. The research method employed is qualitative descriptive. Data were collected by recording group discussion-based learning over four sessions, then two groups were selected for further analysis of the interactions during the discussions. Positioning theory demonstrates how students position themselves based on the interactions during group discussions. The research reveals that novice students tend to participate passively, facilitator students play a role in providing for the needs of the discussion, while expert students often make statements to provide information. There is a change in student positioning from expert to beginner, beginner to expert, facilitator to beginner, and beginner to facilitator. Additionally, some expert students and facilitator students consistently maintain their respective positions
UPAYA MENINGKATKAN HASIL BELAJAR PESERTA DIDIK PADA SPLIT CLASS MELALUI PEMBELAJARAN LANGSUNG BERBANTUAN VIDEO INTERAKTIF TURUNAN
No full textPandemi covid-19 telah memaksa SMA Negeri 5 Pamekasan untuk menyesuaikan pola pembelajaran, separuh kelas mengikuti pembelajaran tatap muka di sekolah dan separuhnya lagi mengikuti pembelajaran daring dari rumah, yang disebut split clas. Penelitian ini bertujuan mendeskripsikan pembelajaran langsung berbantuan video interaktif turunan yang dapat meningkatkan hasil belajar. Penelitian ini dilakukan dalam 2 siklus, masing-masing siklus berisi tahap persiapan, pelaksanaan, observasi dan refleksi. Subjek penelitian ini adalah 26 peserta didik kelas XI MIPA 1 SMA Negeri 5 Pamekasan. Hasil penelitian menunjukkan bahwa pembelajaran langsung berbantuan video interaktif turunan yang meningkatkan hasil belajar materi turunan dilakukan dengan langkah: (1) Menyampaikan tujuan dan mempersiapkan peserta didik (2) Mendemonstrasikan pengetahuan dan keterampilan dengan video pembelajaran interaktif turunan (3) Membimbing pelatihan dengan LKPD terbimbing (4) Mengecek pemahaman dan memberikan umpan balik dan (5) Memberikan kesempatan untuk pelatihan lanjutan dan penerapan. Dari penerapan pembelajaran langsung berbantuan video pembelajaran turunan, persentase ketuntasan belajar peserta didik mengalami peningkatan dari siklus 1 ke siklus 2 dari 65,2% menjadi 86,9 % , 2 sedangkan persentase hasil observasi ketercapaian pelaksanaan pembelajaran mengalami peningkatan sebesar 15% dengan kriteria pada masing-masing siklus bernilai sangat bai
Konflik Kognitif Internal Siswa dalam Menyelesaikan Masalah Matematika Ditinjau dari Proses Asimilasi Akomodasi
Full text linkThis study aims to describe the internal cognitive conflicts that occur to students when they were solving mathematics problems. There were two participants in this research. They were 7th grade students from SMPN 1 Malang. The first participant was a student who has experienced internal cognitive conflicts and has capability to resolve it as well as the mathematics problems. Meanwhile, the second participant was a student who has experienced internal cognitive conflict but cannot resolve that conflict and also the mathematics problems. This research was used descriptive qualitative. The data of this study was gathered from students’ test on cognitive conflict and interview which was adapted from Newman's interview procedure. It was found that, the students who are able to find a relationship between the ratio of the number of workers and the number of chairs produced in a day, have capability to resolve their cognitive conflicts so that it brings them to the right problem solving. Meanwhile, the students that fail to build a relationship between the comparison concepts with mathematics problems and fail to find the relation between the numbers of people with the number of chairs in one day can not resolve the cognitive conflict so that they solve the problems in the wrong ways
Using APOS Theory Framework: Why Did Students Unable To Construct a Formal Proof?
Full text linkMathematical thinking is necessary in mathematics learning especially in college level. One of activities in undergraduate mathematics learning is proving. This article describes students' thinking process who unable to construct mathematical formal proof. The description uses APOS Theory to explore students' mental mechanism and students' mental structure while they do proving. This research is qualitative research that conducted on students majored in mathematics education in public university in Banten province, Indonesia. Data was obtained through asking students to solve proving-task using think-aloud and then following by interview based task. Results show that the students could not construct a formal proof because they unable to appear encapsulation process. They merely enable to think interiorization and coordination. Based on the results, some suitable learning activities should designed to support the construction of these mental mechanism
Metacognitive failure in constructing proof and how to scaffold it
No full textThis research aims to describe the students’ metacognitive failure in constructing proof and the scaffolding support. The participants of this qualitative case study were eight preservice mathematics teachers of six-semester, State University of Malang. We carried out a test about proof construction problems in Abstract Algebra. Then we verified the data using triangulation of constant comparative method from a test and a task-based interview with the stimulated recall. The results indicated two groups of students in proving strategy. Group I performed “appropriate” syntactic strategy and Group II vice versa. Blindness was experienced by the subject that does not recognize errors detection or the ambiguity of the proof. Mirage occurred when the subject recognizes an error detection on the proper strategy or application of a theorem, then is unable to verify the truth of his work. Misdirection appeared when the subject recognizes a lack of progress, then uses an incomplete or irrelevant concept. Vandalism emerged with no progress or detection of errors of the strategy then the subject performs some irrelevant steps to the issue or uses a misconception. Practically, the teachers can use these results for learning innovations in scaffolding-based proof courses. The scaffolding might need some development and application in supporting students to overcome difficulty in proving mathematical sentences
Development of ACERA Learning Model Based on Proof Construction Analysis
Full text linkProof constructing is the process of justifying a claim using the methods and concepts of proof to produce mathematical proof. Proof constructing is also an aspect of proof, and is often the only way to assess student performance. However, proof construction is still a constant problem (difficulty) for every student. The cause of this difficulty is not only because of the content of proof in textbooks/sources, over-reliance on examples, understanding, underlying logic, and the ability to use proof writing strategies, but also due to the lack of proof discussion activities that train students to understand and answer proof practice questions, give proof reasoning against the proof that has been constructed, and validating own and other colleagues' answers. Thus, this study aims to develop a valid and practical ACERA (Activities, Classroom Discussion, Exercises, Reason, and Audience) learning model and has a potential effect on students' ability to proof construction. This study uses research design research development methods in three stages, namely the preliminary stage, the model development stage and the assessment stage. The research subjects were 23 students of the Mathematics Education study program at the University of Mataram. The development of the ACERA model offers an alternative solution to reduce the difficulty of proof construction, thus enabling this model to have characteristics that are valid, practical and have a potential effect in increasing the productivity of student proof construction
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