Abstract: Embodiments can provide dynamic assessment by an expert system software (ESS) module. The ESS module may determine a minimum set of diagnostic questions to identify a student's strengths and/or weaknesses for a given subject matter. Each diagnostic question may be a unique question variant generated from a dynamic question template. The ESS module may automatically and dynamically build a personal lesson plan that includes lessons on topics of the subject matter that the student has not mastered. The ESS module may dynamically modify the personal lesson plan to change a lesson and/or add lesson(s) considered by the ESS module as necessary for the student to master the subject matter. Given the ESS module's knowledge on various components of a question such as equation(s) used to produce a correct answer to the question, the ESS module may generate image(s), customized hint(s), customized explanation(s), and/or examine student solutions in step-by-step fashion.

Abstract: Embodiments can dynamically generate questions useful for student evaluation. One embodiment of a method may include providing a user interface on a client device for a user to compose a dynamic question template (DQT) in a first representation. The DQT which may have a question, question variables, a correct answer, and question constraints may be received by a system running on one or more server machines. The system may compile the DQT and generate and store a DQT object in an object library. The system can then pre-generate or dynamically generate in real time a plurality of unique question variants using the DQT object and without further input from the user. In generating the unique question variants, the system may obtain values, as constrained by the question constraints, for the question variants and/or run simulations using other objects such as equations from the object library or libraries.