A classic strategy for teaching cursive and handwriting letters is to use the developmental sequence model. The three stages are imitation, copying and independent writing.
Another tool to use is to teach capital letters first, then lower case letters. Letters are also taught in small groups of similar formations, such as b's, d's and p's. Once the easier groups are mastered, moving on to more challenging letters, such as z's and s's, is easier for the child. The same rules apply to both cursive and handwriting, although there is some debate as to which is harder for children to grasp.
Utilizing this method ensures that children of all learning styles and backgrounds can grasp the concept. Teaching the easiest skills first and then building on prior knowledge, such as imitation first and then copying, takes advantage of effective learning and good habits as outlined by multiple studies done on child development. Teaching letters in a particular order helps children to feel confident each time the skill is escalated to the next level and helps them master the skill much more quickly. Children should also be taught to check their own work after each new lesson. This applies to letters, words and whole sentences as each step is taught.