The study aims to see the effect of the application of discovery learning model in improving the ability of critical thinking mathematically and students self-confidence. The population of this research is high school students in East Bogor Regency. The sample of the research is the students of 10 th grade Science Major from 116 students. This research is a quasi experimental research with pretest and postest control group research design. The instrument used is a matter of mathematical critical thinking and self-confidence questionnaire test. Data analysis was performed on the normalized gain level between the two sample groups. The result of this research are (1) There is an improvement of mathematical critical thinking ability of students who are treated with discovery learning model is better than students who get conventional learning; (2) There is an interaction between learning model and early math ability (KAM) to improving students' mathematical critical thinking ability; (3) There is an improvement of mathematical critical thinking ability in students with high KAM; (4) There is no improvement of mathematical critical thinking ability in students with low KAM; (5) Increased self-confidence of students who are treated with discovery learning model is better than students who received conventional learning; (6) There is an interaction between learning model and math early ability to increase student self-confidence; (7) There is an improvement of self-confident in students with high KAM; (8) There is no improvement of self-confidence in students with low KAM. ABSTRAKPenelitian ini bertujuan untuk melihat pengaruh penerapan model discovery learning untuk meningkatkan kemampuan berpikir kritis matematis dan self-confidence siswa. Populasi penelitian ini adalah siswa SMA Negeri di Kabupaten Bogor Timur. Sampel penelitiannya adalah siswa SMA Negeri kelas X MIPA yang berjumlah 116 siswa. Penelitian ini merupakan penelitian quasi eksperimen dengan desain penelitian pretest-postest control group design. Instrumen yang digunakan berupa soal tes kemampuan berpikir kritis matematis dan lembar angket self-confidence. Analisis data dilakukan terhadap rataan gain ternormalisasi antara dua kelompok sampel. Hasil penelitian ini adalah (1) Peningkatan kemampuan berpikir kritis matematis siswa yang diberi perlakuan model discovery learning lebih tinggi daripada siswa yang mendapat pembelajaran konvensional; (2) Terdapat interaksi antara model pembelajaran dan kemampuan awal matematika (KAM) terhadap peningkatan kemampuan berpikir kritis matematis siswa; (3) Terdapat peningkatan kemampuan berpikir kritis matematis pada siswa dengan KAM tinggi; (4) Tidak terdapat peningkatan kemampuan berpikir kritis matematis pada siswa dengan KAM rendah; (5) Peningkatan selfconfidence siswa yang diberi perlakuan model discovery learning lebih tinggi daripada siswa yang mendapat pembelajaran konvensional; (6) Terdapat interaksi antara model pembelajaran dan kemampuan awal matematika terhadap peningkatan self-confidence siswa, dan (7) Terda...

Kemampuan pemecahan masalah matematis merupakan suatu bagian utuh dari pembelajaran matematika karena pemecahan masalah merupakan suatu proses untuk mengatasi kesulitan yang ditemui supaya mencapai suatu tujuan yang diinginkan. Penelitian ini bertujuan untuk mengetahui apakah terdapat pengaruh model pembelajaran flipped classroom dalam jaringan terhadap kemampuan pemecahan masalah ditinjau dari self confidence siswa kelas X IPS SMA Negeri di Kecamatan Cempaka Putih Jakarta. Penelitian ini dilaksanakan di SMAN 30 Jakarta dan SMAN 77 Jakarta pada kelas X IPS semester ganjil tahun pelajaran 2020/2021. Penelitian ini menggunakan metode quasi eksperimental dengan desain penelitian treatment by level 2×2 yang terdiri dari dua variabel: (1) pendekatan pembelajaran dengan taraf model pembelajaran flipped classroom dalam jaringan dan model pembelajaran jarak jauh, (2) self confidence dengan taraf tinggi dan rendah. Sampel sebanyak 70 siswa SMA. Hasil penelitian ini menunjukan terdapat pengaruh model pembelajaran flipped classroom dalam jaringan terhadap kemampuan pemecahan masalah matematis, khususnya untuk siswa memiliki self confidence tinggi, dan terdapat interaksi antara model pembelajaran dan self confidence terhadap kemampuan pemecahan masalah matematis.

Estimation is one method for approximation. The estimation method is the polynomial interpolation. Once of polynomial interpolation are Lagrange method and Newton Gregory method. In several references, the degrees of interpolation which is used on the Lagrange method or Newton Gregory method depends on the numbers of data. This paper was created to knowing the optimum degrees to interpolate 61 numbers of data. In this paper, points are determined to interpolate so that formed intervals of equal length. As for the degrees to be tested, namely degrees 2,4,5,10, and 20. Based on MAPE and MSE values for degree 2 are lower than degrees 4,5,10 and 20 in both methods so that the interpolation of the Lagrange and Newton Gregory degrees 2 is better than degrees 4,5,10, and 20.

his paper presents a method of finding a continuous, real-valued, function of two variables z = u(x,y) defined on the square S := [0,1]^2, which minimizes an energy integral of fractional order, subject to the condition u(0,y) = u(1,y) = u(x,0) = u(x,1) = 0 and u(x_i,y_j) = c_{ij}, where 0 < x_1 < ... < x_M < 1, 0 < y_1 < ... є ℝ are given. The function is expressed as a double Fourier sine series, and an iterative procedure to obtain the function will be presented

<p><em>This study uses a quasi-experimental method with the final design control test of mathematical communication skills in terms of student personality through personality tests. The sample of this study was students of class XI-IPS in MAN 6 Kampung Dukuh and MAN 6 Cibubur East Jakarta in the odd semester 2018/2019 Academic Year as many as 88 people. The instrument used in this study is a description question and personality questionnaire. The results showed that 1) The ability of mathematical communication students who got the cooperative jigsaw method was higher than the students who received conventional learning, 2) There were interactions between learning methods and personalities on mathematical communication skills, 3) Mathematical communication skills of students with extroverted personalities given jigsaw cooperative method treatment is higher than those given conventional learning treatment, 4) Mathematical communication skills of students with introverted personalities treated with cooperative jigsaw methods are lower than those given conventional learning treatments. Thus, jigsaw cooperative learning is better applied to students with an extracurricular personality.</em><em></em></p>