PENGARUH DISPOSISI MATEMATIKA DAN KEMAMPUAN NUMERIK TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA (Survei pada SMP Negeri di Jakarta Timur)

Abstract

Abstract: The purpose of the study was to determine (1) The direct influence of mathematical disposition on the mathematical problem solving ability of grade VIII students of State Junior High School in Duren Sawit District, East Jakarta. (2) The direct influence of numerical ability on the mathematical problem solving ability of grade VIII students of SMP Negeri in Duren Sawit District, East Jakarta. (3) The direct influence of mathematical disposition on the numerical ability of grade VIII students of SMP Negeri in Duren Sawit District, East Jakarta. (4) The indirect influence of mathematical disposition through numerical ability on the mathematical problem solving ability of grade VIII students of State Junior High School in Duren Sawit District, East Jakarta. The method used is a correlational survey. The population in this study was grade VIII students of SMPN 51 Jakarta and SMPN 135 Jakarta with a total of 576. The sample in this study was 86 randomly selected students. The results of the study were obtained (1) There is a significant positive direct influence of mathematical disposition on the ability to solve mathematical problems. This is evidenced by the value of P31= 0.493 so that the magnitude is 24.3%. This value after being tested for significance using the t-test states that the calculated value of ttable > is 6.666 > 1.989. (2) There is a significant direct positive effect of numerical ability on mathematical problem solving ability. This is evidenced by the value of P32= 0.450 so that the magnitude is 20.3%. This value after testing the level of significance using the t-test states that the calculated value of ttable > is 6.095 > 1.989. (3) There is a significant positive direct influence of mathematical disposition on the numerical ability of learners. This is evidenced by the value of P21 = 0.614 so that the magnitude is 37.7%. This value after testing the level of significance using the t-test states that the calculated value of t-> ttable is 7.138> 1.989. (4) There is a significant positive indirect influence of mathematical disposition through numerical ability on students' mathematical problem solving ability. This is evidenced by the magnitude of the influence is P321 = 0.276 so that the magnitude is 7.6%. This value after being tested for significance using the t-test states that the calculated value of ttable > is 3.441> 1.989. The ability to solve mathematical problems is influenced by mathematical disposition and numerical ability either directly or indirectly. Thus, by improving the mathematical disposition and numerical ability of students, it is expected that the mathematical problem solving ability of students will also increase.
Keywords: mathematical disposition, numerical ability, mathematical problem solving ability

Abstrak: Tujuan dari penelitian ini adalah untuk menganalisis dan menguji hipotesis mengenai pengaruh disposisi matematika dan kemampuan numerik terhadap kemampuan pemecahan masalah matematika. Hipotesis penelitian ini meliputi: 1) Terdapat pengaruh langsung disposisi matematika terhadap kemampuan pemecahan masalah matematika. 2) Terdapat pengaruh langsung kemampuan numerik terhadap kemampuan pemecahan masalah matematika. 3) Terdapat pengaruh langsung disposisi matematika terhadap kemampuan kemampuan numerik. 4) Terdapat pengaruh tidak langsung disposisi matematika melalui kemampuan numerik terhadap kemampuan pemecahan masalah matematika. Metode yang digunakan dalam penelitian ini adalah metode survei. Populasi terjangkau adalah siswa-siswi kelas VIII tahun ajaran 2023/2024 SMP Negeri di Jakarta Timur. Besar sampel sebanyak 86 siswa, dengan teknik sampling yang digunakan adalah random sampling, di ambil 2 sekolah negeri. Instrumen penelitian yang digunakan yaitu kuesioner disposisi matematika sebanyak 26 pernyataan, tes kemampuan numerik berbentuk PG sebanyak 20 soal, dan tes kemampuan kemampuan pemecahan masalah matematika berbentuk esai 7 soal, yang telah diuji validitasnya. Analisis data menggunakan analisis jalur. Hasil pengujian hipotesis Diperoleh kesimpulan sebagai berikut: Hasil pengujian hipotesis pertama menunjukkan bahwa: 1) terdapat pengaruh langsung positif yang signifikan disposisi matematika terhadap kemampuan pemecahan masalah sebesar 24,3%.; 2)terdapat pengaruh langsung positif yang signifikan kemampuan numerik terhadap kemampuan pemecahan masalah matematika sebesar 20,3%.; 3) terdapat pengaruh langsung yang signifikan disposisi matematika terhadap kemampuan numerik sebesar 37,7%.; 4) terdapat pengaruh tidak langsung disposisi matematika melalui kemampuan numerik terhadap kemampuan pemecahan masalah matematika sebesar 7,6%.
Kata Kunci: disposisi matematika, kemampuan numerik, kemampuan pemecahan masalah matematika