Final answer:
The preschool teacher engages in language development opportunities by talking and singing nursery rhymes with infants and toddlers, which enhances their cognitive and communication skills.
Step-by-step explanation:
The preschool teacher who talks frequently with her young students and sings nursery rhymes with them is primarily taking advantage of language development opportunities. This interaction helps in the cognitive development of young children, including enhancing their ability to communicate, augment their vocabulary, and become familiar with the rhythmic and melodic aspects of language.
This process is particularly potent at an early age, where children are rapidly developing their language skills and are receptive to new sounds and words. Initiating conversations and engaging in repetitive song-like activities can provide a rich linguistic environment, which helps in the child's overall development. Social linguists point out that these activities can hasten the language acquisition process and make a significant impact on the way children learn to communicate effectively.