The approach to educating gifted children which moves them through curriculum at an unusually rapid pace is known as :

The correct option is Acceleration.

In educational psychology, tailoring instruction to meet the needs of gifted and talented students often involves specific educational strategies:

1. Acceleration: This educational approach allows gifted students to progress through the standard academic curriculum at a faster pace or at a younger age than typical for their peers. Examples include grade skipping, advanced placement (AP) courses, early entry to school, or completing multi-year courses in a shorter timeframe.

2. Enrichment: This approach provides gifted students with broader, deeper, or more complex learning experiences within their regular grade-level curriculum without necessarily advancing them to higher-grade material at a faster speed.

3. Differentiated Instruction: A teaching philosophy that involves modifying content, process, products, or the learning environment to accommodate the diverse learning needs of all students in a classroom.

4. Immersion: An instructional approach often used in language learning where students are taught academic subjects in a second language.

Therefore, the strategy that specifically moves gifted children through the curriculum at an unusually rapid pace is Acceleration.