What does differentiated instruction mean?

In math or ELA, please explain the meaning of differentiated instruction.

Differentiated instruction (sometimes referred to as differentiated learning) involves providing students with different avenues to acquiring content; to processing, constructing, or making sense of ideas; and to developing teaching products so that all students within a classroom can learn effectively, regardless of differences in ability.

Differentiated instruction, according to Carol Ann Tomlinson (as cited by Ellis, Gable, Greg, & Rock, 2008, p. 32), is the process of "ensuring that what a student learns, how he/she learns it, and how the student demonstrates what he/she has learned is a match for that student’s readiness level, interests, and preferred mode of learning". Differentiation stems from beliefs about differences among learners, how they learn, learning preferences and individual interests (Anderson, 2007).

Source: http://en.wikipedia.org/wiki/Differentiated_instruction