title: ÐÐ»Ð°ÑÑÐµÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð½Ð° Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð¼ Ð¾ÑÐºÑÑÑÐ¾Ð¼ Ð¾Ð½Ð»Ð°Ð¹Ð½ ÐºÑÑÑÐµ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Cluster analysis of learning outcomes in a massive open online course
Creators: name: Ð¥Ð²Ð¾ÑÐ¾Ð²Ð°, ÐÐ»ÐµÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð¸Ð½ÑÐµÐ»Ð»ÐµÐºÑÑÐ°Ð»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð´Ð°Ð½Ð½ÑÑ Ð² Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ð¸
Ð¾Ð½Ð»Ð°Ð¹Ð½ ÐºÑÑÑÑ
ÑÐ·ÑÐº R
ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ
Ð½Ð°ÑÐºÐ° Ð¾ Ð´Ð°Ð½Ð½ÑÑ
educational data mining
online courses
R
RStudio
clusterisation
data science

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð°Ð½Ð°Ð»Ð¸Ð·Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð½Ð° Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð¼ Ð¾ÑÐºÑÑÑÐ¾Ð¼ Ð¾Ð½Ð»Ð°Ð¹Ð½ ÐºÑÑÑÐµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ±Ð·Ð¾Ñ Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸. 2. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸ ÑÑÐµÐ´ÑÑÐ² Ð¸Ð½ÑÐµÐ»Ð»ÐµÐºÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð°Ð½Ð½ÑÑ. 3. ÐÐ¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐ° Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð½Ð°Ð±Ð¾ÑÐ¾Ð² Ð´Ð°Ð½Ð½ÑÑ. 4. Ð ÐµÑÐµÐ½Ð¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸ ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¼ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ðµ ÐºÐ»Ð°ÑÑÐµÑÐ¾Ð², Ð° ÑÐ°ÐºÐ¶Ðµ Ð¸Ð½ÑÐµÑÐ¿ÑÐµÑÐ°ÑÐ¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð². 5. ÐÑÐµÐ½ÐºÐ° ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² ÐÐ¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ° Ð¸ Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð½Ð° Ð¾Ð±ÑÑÑ ÑÑÐ¿ÐµÐ²Ð°ÐµÐ¼Ð¾ÑÑÑ Ð½Ð° ÐºÑÑÑÐµ. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð²ÑÑÑÐ¾ÐµÐ½Ð½ÑÑ Ð¿Ð°ÐºÐµÑÐ¾Ð² Ð¸ ÑÑÐ½ÐºÑÐ¸Ð¹ ÑÐ·ÑÐºÐ° R Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¹ ÑÑÐµÐ´Ðµ RStudio. ÐÐ´ÐµÑÑ Ð±ÑÐ»Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð½Ð°Ð±Ð¾ÑÑ Ð´Ð°Ð½Ð½ÑÑ, Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ Ð³ÑÐ°ÑÐ¸ÐºÐ¸ Ð¸ Ð´Ð¸Ð°Ð³ÑÐ°Ð¼Ð¼Ñ Ð¾Ð±ÑÐµÐ¹ ÑÑÐ¿ÐµÐ²Ð°ÐµÐ¼Ð¾ÑÑÐ¸ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð½Ð° ÐºÑÑÑÐµ Ñ Ð¼Ð¾Ð¼ÐµÐ½ÑÐ° Ð¿ÐµÑÐ²Ð¾Ð³Ð¾ Ð·Ð°Ð¿ÑÑÐºÐ°, Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ñ ÑÐ»ÑÑÐ°ÑÐµÐ»ÐµÐ¹. ÐÑÐ´ÐµÐ»ÑÐ½Ð¾ Ð±ÑÐ» Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð², ÑÐ²Ð»ÑÑÑÐ¸ÑÑÑ ÑÑÑÐ´ÐµÐ½ÑÐ°Ð¼Ð¸ ÐÐ¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ°. Ð¢Ð°ÐºÐ¶Ðµ, Ð±ÑÐ»Ð° Ð¿ÑÐ¸-Ð²ÐµÐ´ÐµÐ½Ð° Ð¸Ð½ÑÐµÑÐ¿ÑÐµÑÐ°ÑÐ¸Ñ Ð¸ Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð². Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð° ÑÐµÑÐµÐ½Ð° Ð·Ð°Ð´Ð°ÑÐ° ÐºÐ»Ð°ÑÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ»ÑÑÐ°ÑÐµÐ»ÐµÐ¹ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¾ÑÐºÑÑÑÐ¾Ð³Ð¾ Ð¾Ð½Ð»Ð°Ð¹Ð½ ÐºÑÑÑÐ°. ÐÑÐµ ÑÑÑÐ´ÐµÐ½ÑÑ Ð±ÑÐ»Ð¸ ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ñ Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ½ÑÐµ Ð³ÑÑÐ¿Ð¿Ñ, ÑÑÐ¾Ð¶Ð¸Ðµ Ð¿Ð¾ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð½ÑÐ¼ Ð¿ÑÐ¸Ð·Ð½Ð°ÐºÐ°Ð¼, Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð¾ Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸Ð¼ÐµÐ½Ð½Ð¾ ÑÐ°ÐºÐ¾Ð³Ð¾ ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ.
description: This work is devoted to the analysis of student learning results in a massive open online course with the help of solving the clustering problem. The research set the following goals: 1. A review of the subject area. 2. The study of methods and means of data mining. 3. Preparation and research of the obtained data sets. 4. The solution of the clustering problem with a different number of clus-ters, as well as the interpretation of the results. 5. Evaluation of the learning outcomes of students of the Polytechnic Uni-versity and their impact on the overall performance of the course. The work was carried out using built-in packages and functions of the R language in the RStudio software environment. Here, the obtained data sets were investigated, graphs and diagrams of the overall performance of students on the course from the moment of the first launch were built, the students were clus-tered. A separate analysis was made of the learning outcomes of students who are students of the Polytechnic University. Also, the interpretation and justifica-tion of the results were presented. As a result, the task of clustering students of a massive open online course was solved. All students were divided into characteristic groups that were similar in certain respects; the rationale for just such a division was proposed.