Actually, "Pedagogy" refers to teaching children. The "Ped" is the same root word as "pediatric."
In the original Greek, I believe that "pedagogy" translates as something like "to lead a child." The correct term for the the method and practice of teaching adult learners is "Andragogy."
We tend to use "pedagogy" through the college years, but we must remember that methods and motivations of youthful learners may be considerably different from those relevant to adult learners.
Beyond this distinction, I think that the "art and craft" goes beyond instructional design. For example, instructional design may not include the attitudes of the teacher, which can be SO important to student motivation.
Hi! Both are somewhat dizzy and floating concepts on the Internet nowadays, but one aspect is clearly of geographical and cultural origin. "Instructional design" and "instructional technology" are sciences in North America but more hobby-and-enthusiasm-related para-science in Europe where Pedagogy and Didaktik/Didactics (3 slightly different things they as well...) are sciences within education - seen as a science of its own rights. North America researchers on education are otherwise subject specialists as historians, psychologists, sociologists, statisticians, computer scientist, philosophers with different parts of education as study objects. In Europe they are predominantly researchers in education, and in second place using histoprical, psychological, sociological etc...methods to develop their education science, called pedagogy, didaktik (Germany), applied educational science, etc. So the two terms we begun with are rooted in two traditions. But now they are now mixing together. North Americans cry out "we need more pedagogy here", and mean mostly what Europeans would call Didaktik probably. Europeans have kind of outsourced the ICT and learning field (instructional-design-related) to computer sicentists instead of having it within education, but it is coming there as well, without much status. And interestingly: Europeans despise the word "instruction" as much as North Americans dislike "Didaktik" - because the terms sounds to authoritarian and not student-centered...in our different ears... I have written a little about this, see below.
Article Anders Norberg & Isa Jahnke (2014): “Are you Working in the ...