This can be avoided by taking note of the actual number your skill is before you start raising it. This is especially easy to do at low levels.
If you attack with a melee weapon or bow repeatedly, without a break, you can blow right through an extra skill increase. Beware your skills going up more than once even though you only got one "skill increased" message. Try not to raise skills by more than is required (over leveling)
Similarly, when you level a minor skill, no experience is gained. Unlike many other role-playing games, when you kill a monster, no experience is gained. On the 10th advance, you reach the next level. The only way your character's level advances is by gaining ten levels (in any combination) of the character's major skills. It is much easier and far less intricate than most believe. Efficient Leveling is getting 10 skill-ups under 3 governing attributes every level, so that on leveling you'll gain +5 in all 3.