To stimulate an infant's cognitive development, a teacher might provide which of the following?

The choice indicating all of the options is correct because each of the items listed supports different aspects of an infant's cognitive development.

Busy boards offer various textures, colors, and objects for infants to manipulate, which can enhance sensory exploration and fine motor skills. They encourage problem-solving as infants figure out how to interact with different components, thus boosting cognitive growth.

Nesting blocks not only promote spatial awareness as infants learn how to fit smaller blocks into larger ones, but they also encourage hand-eye coordination and problem-solving as they experiment with stacking and organizing the blocks. As infants engage with these blocks, they begin to understand concepts such as size, shape, and balance.

Shape sorters provide opportunities for recognition of shapes and problem-solving as infants discern how to match and fit shapes into the correct slots. This engages their cognitive skills and promotes understanding of categorization and spatial reasoning.

Each of these tools supports cognitive development in a unique way, therefore the correct response is that all of them contribute meaningfully to stimulating an infant's cognitive growth.