Systems and methods of the present invention provide for estimating latent ability of responders to a digital assessment in the form of ability scores and estimating item parameters an assessment item of the digital assessment including difficulty scores and discrimination scores. Maximum likelihood estimation may be performed based on an item response theory model to estimate the item parameters. Supervisory, extraction, and worker modules of a workflow manager module may initiate general purpose graphics processing unit instances and cause these instances to perform the maximum likelihood estimation calculations. The item response theory model may be a two parameter model that is modified to account for changes in difficulty caused by the use of hints.

Systems and methods of the present invention provide for estimating latent ability of responders to a digital assessment in the form of ability scores and estimating item parameters an assessment item of the digital assessment including difficulty scores and discrimination scores. Maximum likelihood estimation may be performed based on an item response theory model to estimate the item parameters. Supervisory, extraction, and worker modules of a workflow manager module may initiate general purpose graphics processing unit instances and cause these instances to perform the maximum likelihood estimation calculations. The item response theory model may be a two parameter model that is modified to account for changes in difficulty caused by the use of hints.

A system and method for an online educational game to improve skills without spending money are disclosed. It further provides a system and method for the players to increase their winnings by providing gift certificates from companies who want to attract these winners. This game provides players an opportunity to win a prize without having to spend money to buy a ticket and an opportunity to improve vital skills. This invention provides a way of experiencing the thrill of gaming without betting any money. The games could be drawn instantly or periodically. The winnings could be a preset amount or a progressive jackpot.

A system and method for an online educational game to improve skills without spending money are disclosed. It further provides a system and method for the players to increase their winnings by providing gift certificates from companies who want to attract these winners. This game provides players an opportunity to win a prize without having to spend money to buy a ticket and an opportunity to improve vital skills. This invention provides a way of experiencing the thrill of gaming without betting any money. The games could be drawn instantly or periodically. The winnings could be a preset amount or a progressive jackpot.

A method for learning and assessment using a computing device is provided includes: storing a plurality of mathematical problems in a database; for each of the plurality of mathematical problems, generating, by the computing device, a set of micro-skills that are required to solve the mathematical problem, the set of micro-skills being selected from a plurality of pre-defined micro-skills, each micro-skill being a smallest component of learning; for each of the plurality of mathematical problems, storing the set of micro-skills corresponding to the problem in the database; delivering one or more of the plurality of mathematical problems to a user via a computer interface of the computing device; for each delivered mathematical problem, receiving a plurality of intermediate step inputs from the user through the computer interface, and recording a plurality of time durations corresponding to the plurality of intermediate step inputs; creating, by the computing device, a skill profile of the user according to the plurality of intermediate step inputs and the plurality of recorded time durations, the skill profile including skill levels of the user in a plurality of micro-skill categories; storing the skill profile in a user entry corresponding to the user in the database; generating, by the computing device, a conceptual map of the user according to the skill profile; and outputting the conceptual map of the user by the computing device.

A method for learning and assessment using a computing device is provided includes: storing a plurality of mathematical problems in a database; for each of the plurality of mathematical problems, generating, by the computing device, a set of micro-skills that are required to solve the mathematical problem, the set of micro-skills being selected from a plurality of pre-defined micro-skills, each micro-skill being a smallest component of learning; for each of the plurality of mathematical problems, storing the set of micro-skills corresponding to the problem in the database; delivering one or more of the plurality of mathematical problems to a user via a computer interface of the computing device; for each delivered mathematical problem, receiving a plurality of intermediate step inputs from the user through the computer interface, and recording a plurality of time durations corresponding to the plurality of intermediate step inputs; creating, by the computing device, a skill profile of the user according to the plurality of intermediate step inputs and the plurality of recorded time durations, the skill profile including skill levels of the user in a plurality of micro-skill categories; storing the skill profile in a user entry corresponding to the user in the database; generating, by the computing device, a conceptual map of the user according to the skill profile; and outputting the conceptual map of the user by the computing device.

A method for awarding playtime credit proportional to positive performance on educational testing. The method records correct answers to academic questions, such as math, as credits towards time allowed on an attached electronic play device. The amount of time earned or awarded is determined by the number of correct answers provided in response to displayed questions.

A method for awarding playtime credit proportional to positive performance on educational testing. The method records correct answers to academic questions, such as math, as credits towards time allowed on an attached electronic play device. The amount of time earned or awarded is determined by the number of correct answers provided in response to displayed questions.

A system and method for an online educational game to improve skills without spending money are disclosed. It further provides a system and method for the players to increase their winnings by providing gift certificates from companies who want to attract these winners. This game provides players an opportunity to win a prize without having to spend money to buy a ticket and an opportunity to improve vital skills. This invention provides a way of experiencing the thrill of gaming without betting any money. The games could be drawn instantly or periodically. The winnings could be a preset amount or a progressive jackpot.

A system and method for an online educational game to improve skills without spending money are disclosed. It further provides a system and method for the players to increase their winnings by providing gift certificates from companies who want to attract these winners. This game provides players an opportunity to win a prize without having to spend money to buy a ticket and an opportunity to improve vital skills. This invention provides a way of experiencing the thrill of gaming without betting any money. The games could be drawn instantly or periodically. The winnings could be a preset amount or a progressive jackpot.