This is the 5733rd most frequent Russian word.
программами
The Russian word "программами" is the instrumental plural form of "программа," meaning "programs" or "by/with programs" in English.
In this sentence, 'программами' is the instrumental plural form of 'программа', which denotes 'programs' as tools or subjects of study.
Я занимаюсь изучением новых программами для компьютера.
I am engaged in studying new programs for the computer.
Here, 'программами' in instrumental plural form indicates that the colleague is utilizing these contemporary programs for work.
Мой коллега работает с современными обучающими программами.
My colleague works with modern educational programs.
In this context, 'программами' is again instrumental plural, showing the use of software tools by students in educational settings.