Penelitian ini didasarkan pada permasalahan dalam proses pembelajaran di kelas yang masih menggunakan bahan ajar dari buku paket dan kurangnya bahan ajar seperti e-modul, serta rendahnya kemampuan penalaran matematis, khususnya pada materi peluang karena peserta didik cenderung mengalami kesulitan dalam menyelesaikan soal yang lebih kompleks. Sebagai solusi, dilakukan penelitian untuk mengembangkan e-modul PEJAMAT berbantuan Scratch guna meningkatkan kemampuan penalaran matematis. PEJAMAT diambil dari singkatan peluang kejadian matematika. Penelitian ini bertujuan untuk mengembangkan e-modul PEJAMAT berbantuan Scratch pada materi peluang yang valid, praktis, dan mampu meningkatkan kemampuan penalaran matematis. Jenis penelitian ini merupakan penelitian dan pengembangan dengan model ADDIE yang meliputi lima tahap yaitu Analisis (Analysis), Desain (Design), Pengembangan (Development), Implementasi (Implementation), dan Evaluasi (Evaluation). Penelitian ini dilaksanakan di SMAN 1 Kadugede. Teknik pengumpulan data mencakup lembar validasi, lembar validasi kepraktisan, angket respon peserta didik. Uji kevalidan dilakukan oleh 2 validator ahli media dan 2 validator ahli materi. Uji kepraktisan dilakukan oleh 1 guru mata pelajaran matematika dan respon 36 peserta didik kelas X F. Teknik analisis data meliputi uji kevalidan, uji kepraktisan, dan peningkatan kemampuan penalaran matematis. Hasil analisis kevalidan dari ahli media memperoleh nilai 96,25% dengan kriteria “sangat valid”, kevalidan dari ahli materi memperoleh nilai 88, 39% dengan kriteria “sangat valid”. Hasil analisis kepraktisan e-modul PEJAMAT ditinjau dari respon guru matematika memperoleh nilai sebesar 95,45% dengan kriteria “sangat praktis” dan ditinjau dari respon peserta didik memperoleh nilai sebesar 75,15%. Dengan kategori “praktis”. E-modul PEJAMAT terbukti meningkatkan kemampuan penalaran matematis, hal ini diperoleh nilai mean pretest sebesar 3,17 dan nilai mean posttest sebesar 13,92 dari skor total keseluruhan 15. Berdasarkan hasil analisis data uji N-gain menunjukkan peningkatan kemampuan penalaran matematis dengan nilai mean N-gain sebesar 92% dalam kriteria “tinggi”. Berdasarkan hasil di atas, disimpulkan bahwa e-modul PEJAMAT berbantuan Scratch yang dikembangkan valid dan praktis untuk meningkatkan kemampuan penalaran matematis. Bahan ajar yang dikembangkan disarankan untuk memperluas materi e-modul, mengintegrasikan teknologi baru, memberikan pelatihan guru, malakukan penelitian jangka panjang, mengumpulkan umpan balik berkelanjutan, dan mendorong kolaborasi antara pengembangan, guru, dan peserta didik.

Kata Kunci: E-modul, Scratch, Peluang, Peluang Kejadian, Penalaran matematis, Pembelajaran Berbasis Masalah (PBL).

This research is based on problems in the learning process in the classroom which still uses teaching materials from package books and limited teaching materials such as e-modules, and low mathematical reasoning skills, especially in probability material because the students have a problem to solving more complex problems. As a solution, conducted research to develop PEJAMAT e-modules with Scratch to improve mathematical reasoning skills. PEJAMAT is taken from the abbreviation of probability of a mathematical event. This research is a development of PEJAMAT e-module using Scratch on learning probability material that is valid, practical, and able to improve mathematical reasoning skills. This type of research is a research and development with the ADDIE model with five stages, such as Analysis, Design, Development, Implementation, and Evaluation. This research was implemented at SMAN 1 Kadugede. Data collection techniques including validation sheets, practicality validation sheets, student response questionnaires. The validity test was completed by two media expert validators and two material expert validators. The practical test was performed by one mathematics teacher and 36 students of class X F. The data analysis technique includes validity test, practicality test, and improvement of mathematical reasoning skills.The results of the validity analysis from media experts get a score of 96.25% with the criteria “ very valid ‘, the validity of the material experts get a score of 88, 39% with the criteria ’ very valid ”. The results of the analysis of the practicality of the PEJAMAT e-module from the response of the mathematics teacher get a score of 95.45% with the criteria “very practical” and from the response of students get a score of 75.15%. With the category “practical”. PEJAMAT e-module is proven to improve mathematical reasoning skills, based on the mean pretest value of 3.17 and the mean posttest value of 13.92 from the overall total score of 15. According to the results of the N-gain test data analysis, it shows an increase in mathematical reasoning skills with a mean N-gain value of 92% in the “high” criteria. According to the results mentioned before, it can be concluded that the PEJAMAT e-module using Scratch is valid and practical to improve mathematical reasoning skills. It was suggested to expand the e-module material, integrate new technology, provide teacher training, do long-term research, collect feedback continuously, and push collaboration between development, teachers, and students.

Keywords: E-Module, Scratch, Odds, Probability of Events, Mathematical Reasoning, Problem Based Learning (PBL).