Integrated curriculum based math problem generation

A computer program product, the computer program product comprising a computer readable storage medium having program instructions embodied therewith, the program instructions executable by a device to cause the device to:

• generate a first map, comprising (i) multiple nodes and (ii) multiple edges, that represents a plurality of concepts pertaining to multiple non-mathematic subject matter areas within a curriculum, wherein said generating the first map comprises automatically extracting instances of one or more entities and one or more keywords from data structures within an electronic source of materials associated with the curriculum, and wherein:
• each one of the multiple nodes in the first map represents one of the plurality of concepts pertaining to the multiple non-mathematic subject matter areas;
• each one of the multiple nodes in the first map comprises one or more attributes comprising at least one or more numerical values associated with the respective concept;
• and
• each one of the multiple edges in the first map represents a relationship between two or more of the multiple nodes in the first map;
• generate a second map, comprising (i) multiple nodes and (ii) multiple edges, that represents a plurality of concepts pertaining to one or more math word problems associated with the curriculum, wherein:
• each one of the multiple nodes in the second map represents one of the plurality of concepts pertaining to the one or more math word problems;
• and
• each one of the multiple edges in the second map represents a relationship between two or more of the multiple nodes in the second map;
• determine one or more portions of the first map that exhibit a structural match to one or more portions of the second map;
• automatically create a math word problem template by extracting multiple variable portions from one of the one or more math word problems associated with the curriculum;
• and
• automatically generate an integrated curriculum math word problem by replacing the multiple extracted variable portions in the template with (i) one or more concepts and (ii) one or more relationships derived from the one or more portions of the first map that exhibit a structural match to the one or more portions of the second map, wherein said replacing comprises satisfying one or more subject matter-specific constraints attributed to the one or more of the multiple non-mathematic subject matter areas of the first map.

A system comprising:

• a memory;
• and
• at least one processor coupled to the memory and configured for:
• generating a first map, comprising (i) multiple nodes and (ii) multiple edges, that represents a plurality of concepts pertaining to multiple non-mathematic subject matter areas within a curriculum, wherein said generating the first map comprises automatically extracting instances of one or more entities and one or more keywords from data structures within an electronic source of materials associated with the curriculum, and wherein:
• each one of the multiple nodes in the first map represents one of the plurality of concepts pertaining to the multiple non-mathematic subject matter areas;
• each one of the multiple nodes in the first map comprises one or more attributes comprising at least one or more numerical values associated with the respective concept;
• and
• each one of the multiple edges in the first map represents a relationship between two or more of the multiple nodes in the first map;
• generating a second map, comprising (i) multiple nodes and (ii) multiple edges, that represents a plurality of concepts pertaining to one or more math word problems associated with the curriculum, wherein:
• each one of the multiple nodes in the second map represents one of the plurality of concepts pertaining to the one or more math word problems;
• and
• each one of the multiple edges in the second map represents a relationship between two or more of the multiple nodes in the second map;
• determining one or more portions of the first map that exhibit a structural match to one or more portions of the second map;
• automatically creating a math word problem template by extracting multiple variable portions from one of the one or more math word problems associated with the curriculum;
• and
• automatically generating an integrated curriculum math word problem by replacing the multiple extracted variable portions in the template with (i) one or more concepts and (ii) one or more relationships derived from the one or more portions of the first map that exhibit a structural match to the one or more portions of the second map, wherein said replacing comprises satisfying one or more subject matter-specific constraints attributed to the one or more of the multiple non-mathematic subject matter areas of the first map.

A computer-implemented method, comprising:

• generating a first map, comprising (i) multiple nodes and (ii) multiple edges, that represents a plurality of concepts pertaining to multiple non-mathematic subject matter areas within a curriculum, wherein said generating the first map is carried out by at least one computing device communicatively linked to an electronic source of materials associated with the curriculum, wherein said generating the first map comprises automatically extracting instances of one or more entities and one or more keywords from data structures within the electronic source of materials, and wherein:
• each one of the multiple nodes in the first map represents one of the plurality of concepts pertaining to the multiple non-mathematic subject matter areas;
• each one of the multiple nodes in the first map comprises one or more attributes associated with the respective concept;
• and
• each one of the multiple edges in the first map represents a relationship between two or more of the multiple nodes in the first map;
• generating a second map, comprising (i) multiple nodes and (ii) multiple edges, that represents a plurality of concepts pertaining to one or more math word problems associated with the curriculum, wherein said generating the second map is carried out by the at least one computing device communicatively linked to an electronic source of math word problems associated with the curriculum, and wherein:
• each one of the multiple nodes in the second map represents one of the plurality of concepts pertaining to the one or more math word problems;
• and
• each one of the multiple edges in the second map represents a relationship between two or more of the multiple nodes in the second map;
• determining one or more portions of the first map that exhibit a structural match to one or more portions of the second map, wherein said determining is carried out by the at least one computing device;
• automatically creating a math word problem template by extracting multiple variable portions comprising at least one or more numerical values from one of the one or more math word problems associated with the curriculum, wherein said automatically creating is carried out by the at least one computing device;
• and
• automatically generating an integrated curriculum math word problem by:
• replacing the one or more numerical values in the template with one or more randomly selected numerical values that satisfy one or more subject matter-specific constraints attributed to the one or more of the multiple non-mathematic subject matter areas of the first map;
• and
• replacing one or more of the extracted variable portions in the template with (i) one or more concepts and/or (ii) one or more relationships derived from the one or more portions of the first map that exhibit a structural match to the one or more portions of the second map, wherein said automatically generating is carried out by the at least one computing device.