Final answer:
The term for the educational approach where students stay in their current grade but partake in special programs for a deeper understanding of a subject is 'Enrichment'.
Step-by-step explanation:
The term for an approach to education through which students are kept at grade level but are enrolled in special programs and given individual activities to allow greater depth of study on a given topic is c) Enrichment.
This approach is designed to enhance the learning experience for students who may be able to go beyond the standard curriculum without skipping a grade. Enrichment programs provide a deeper, more complex understanding of subjects for students who show an aptitude or interest in them. This differs from acceleration, which would involve moving a student to a higher grade or providing them with more advanced content than their peers, or from special education, which addresses the needs of students with learning differences necessitating specialized instruction.