Abstract: A system and method for generating and administering classroom exercises to a student. One or more root questions is generated, where each root question has a stem, a plurality of right answers, and a plurality of wrong answers. A multiple-choice question instance is created by combining the stem with a set of answer choices that are created from one of the right answers and one or more of the wrong answers. The questions are administered to a student. Preferably, the sets of questions based on the same root questions are administered one or more times to the student—e.g., a student may be required to work three sets of question instances based on the same set of root questions, or may be required to continue working new sets of question instances until all of the questions in one set are answered correctly.

Abstract: In order to provide improved training and testing, a solution to a given problem is accepted from a user. The solution is tested to ensure that it is syntactically and semantically correct. If it is not, then information is displayed to the user regarding the problems. Evaluation cases are used to test semantic correctness. When an evaluation case indicates that a semantic problem has been encountered, the evaluation case is not presented to the user. Rather a similar training case is presented which is calculated to demonstrate the same semantic problem as the evaluation case. Thus, the user can be helped to understand the issue without being provided with the evaluation cases on which the solution is being tested.