SYSTEMS AND METHODS FOR AUTOMATIC DISTILLATION OF CONCEPTS FROM MATH PROBLEMS AND DYNAMIC CONSTRUCTION AND TESTING OF MATH PROBLEMS FROM A COLLECTION OF MATH CONCEPTS

• US 20170084197A1
• Filed: 09/23/2016
• Published: 03/23/2017
• Est. Priority Date: 09/23/2015
• Status: Active Grant

• Current Assignee: ValueCorp Pacific, Inc.
• Original Assignee: ValueCorp Pacific, Inc.
• Inventors: Crouse, Mark S., Gey, Fredric C., Ligocki, Terry J.
• Granted Patent: US 11,557,222 B2
• Time in Patent Office: Days
• CPC Class Codes: G09B 19/00 Teaching not covered by other main groups of this subclass teaching or practice apparatus for gun-aiming or gun-laying F41G3/26
• CPC Class Codes: G09B 19/025 with electrically operated apparatus or devices
• CPC Class Codes: G09B 5/00 Electrically-operated educational appliances working with questions and answers G09B7/00; simulators G09B9/00; advertising or displaying in general G09F
• CPC Class Codes: G09B 7/00 Electrically-operated teaching apparatus or devices working with questions and answers mechanically operated G09B3/00; computing arrangements G06F

Abstract

Systems and methods of automatically distilling concepts from math problems and dynamically constructing and testing the creation of math problems from a collection of math concepts comprising: providing a user interface to a user; receiving as input: a math problem; one or more math concepts; and/or a user data packet; extracting and compiling a concept cloud of one or more CLIs that comprise the mathematical concepts embodied in the input, describe the operation of the one or more math concepts, or relate to the UDP, respectively; generating one or more math problem building blocks from the concept cloud CLIs; applying a mathematical rules engine to the one or more math problem building blocks to build one or more additional math problems; and returning to the user, through the user interface, the one or more additional math problems built from the CLIs that define the concept cloud extracted from the input.

Claims

1. A system for automatically distilling concepts from math problems and dynamically constructing and testing the creation of math problems from a collection of math concepts comprising:

one or more databases storing two or more concept line items (CLIs), wherein each CLI is an expression of a mathematical concept, and a set of two or more defined interrelationships between the two or more CLIs, wherein the defined interrelationships include one or more of a prerequisite to another CLI, a dependency on another CLI, and a lack of relationship to another CLI; and

a processor in communication with the one or more databases, the processor including memory storing computer executable instructions such that, when the instructions are executed by the processor, they cause the processor to perform the steps of;

providing a user interface to a user through which the user interacts with the system;

receiving as input one or more of;

a math problem;

one or more math concepts; and

a user data packet (UDP), wherein a UDP is a collection of attributes, properties, and variables that describe a math skill set;

extracting and compiling a concept cloud of one or more CLIs that comprise the mathematical concepts embodied in the input, describe the operation of the one or more math concepts, or relate to the UDP, respectively;

generating one or more math problem building blocks from the concept cloud CLIs;

applying a mathematical rules engine to the one or more math problem building blocks to build one or more additional math problems; and

returning to the user, through the user interface, the one or more additional math problems built from the CLIs that define the concept cloud extracted from the input.

2. The system of claim 1 further wherein, in the step of extracting and compiling the concept cloud, the processor parses the input into a machine readable expression including one or more components, and selects one or more CLIs based on their relationship to the parsed components, and compiles a collection of CLIs dependent from each of the selected one or more CLIs.

3. The system of claim 2 wherein the processor further compiles a collection of headline concepts from the one or more CLIs in the concept cloud.

4. The system of claim 1 wherein the one or more databases store the set of two or more defined interrelationships between the two or more CLIs as a directed graph.

5. The system of claim 1 wherein the input includes both:

(i) the math problem or the one or more math concepts; and

(ii) the UDP, further wherein the one or more math problems built from the CLIs that define the concept cloud extracted from the input are constrained in subject matter by the math problem or the one or more math concepts and the UDP.

6. The system of claim 1 wherein the UDP is specifically related to the user.

7. The system of claim 1 wherein the UDP related to a group of users.

8. The system of claim 1 wherein the step of generating one or more math problem building blocks from the concept cloud CLIs includes incorporating one or more building blocks from a preexisting ontology.

9. The system of claim 1 wherein the step of applying a mathematical rules engine to the one or more math problem building blocks to build one or more additional math problems includes choosing a variable as a first building block.

10. The system of claim 9 wherein the step of applying a mathematical rules engine to the one or more math problem building blocks to build one or more additional math problems includes adding one or more operators to the left, right, both sides, or neither side of the variable.

11. The system of claim 10 wherein the step of applying a mathematical rules engine to the one or more math problem building blocks to build one or more additional math problems includes adding an expression including one or more of:

one or more numbers;

one or more variables; and

one or more complex combinations of numbers, variables, and operators.

12. The system of claim 1 wherein the step of applying a mathematical rules engine to the one or more math problem building blocks to build one or more additional math problems includes solving the one or more additional math problems and discarding those that are invalid.

13. The system of claim 1 wherein the step of applying a mathematical rules engine to the one or more math problem building blocks to build one or more additional math problems includes solving the one or more additional math problems and discarding those that require CLIs not included in the UDP.

14. The system of claim 1 wherein when the instructions are executed by the processor, they cause the processor to further perform the steps of:

receiving a math problem solution through the user interface;

in response to receiving an incorrect solution, returning to the user, through the user interface, one or more additional math problems built from the CLIs that define the concept cloud of the math problem solution for which the incorrect solution was received;

receive solutions to the one or more additional math problems built from the CLIs that define the concept cloud of the math problem solution for which the incorrect solution was received; and

in response to any subsequent incorrect solution, returning to the user, through the user interface, one or more additional math problems built from the CLIs that define the concept cloud of the subsequent math problem for which an incorrect solution was received.

15. The system of claim 14 wherein when the instructions are executed by the processor, they cause the processor to further perform the steps of:

transmitting an alert regarding the incorrect solution;

dynamically generating a customized study and practice program related to the incorrect solution; and

updating the UDP with respect to the incorrect solution.