Nowadays there are many views related to the online learning systems for self education. The importance of acquisition of the final education result is considered to be the main disadvantage in the classic test system where the learner chooses the correct answer from the suggested set of answers using predefine question selection algorithm; this does not motivate a person to define the answer themselves or to create a logical chain of problem solutions. The integration of the intellectual processes into the existing training systems will prevent the drawbacks of the existing knowledge assessment systems and will make it possible to access the learners' abillity to make logical decisions, to clarify the answers using examples and to evaluate the method of achieving the result.