This didactic instructional article presents an original educational approach, directed toward the improvement of existing university curriculum using effective and student-friendly teaching of fundamentals of modern scientific research for graduate and undergraduate students, emphasizing scientometrics and integrity. This approach applies to students majoring in a wide range of basic and applied academic specializations in the various branches of science, engineering, computation and technology. The present methodological paper provides a novel, humanized and student-centered way of presenting a comprehensive and unified didactic explanation of originally narrated instructional material, which is based on the adaptation, generalization and creative re-thinking of the previous ten years of the author’s publishing experience. This experience has been in Scopus®- and SCIE WoS® Core Collection-indexed referred academic periodicals. The proposed learning material has found a full-scale educational approbation for a widely-targeted audience of full-time young bachelor-, M. Sc.- and Ph. D.-students as well as distant adult students, university faculties, scientific researchers, college instructors and engineering staff.