Garlic - crushing
Peel the thin skin, then cut into half vertically. Place the cut side down to prevent the garlic from moving around during cutting. Place a flat object on top and press down to crush. The flatside of a knifeblade can also be used, however a wooden spatula is safer as it is less likely to slip during crushing.
Garlic - thinly sliced
Cut the garlic clove with the skin removed vertically in two. Then use the heel of the knife to remove the core and thinly slice.
Garlic - mincing
Remove the skin of the garlic clove, and cut vertically in half. Then remove the core, slice thinly cut-side down without cutting as far as the base part, and lay the knife flat and insert horizontal cuts. Finally, mince from end to end.