{"id":"https://openalex.org/W2007748792","doi":"https://doi.org/10.1145/1141904.1141906","title":"Teaching proofs and algorithms in discrete mathematics with online visual logic puzzles","display_name":"Teaching proofs and algorithms in discrete mathematics with online visual logic puzzles","publication_year":2005,"publication_date":"2005-06-01","ids":{"openalex":"https://openalex.org/W2007748792","doi":"https://doi.org/10.1145/1141904.1141906","mag":"2007748792"},"language":"en","primary_location":{"id":"doi:10.1145/1141904.1141906","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141904.1141906","pdf_url":null,"source":{"id":"https://openalex.org/S4210208609","display_name":"Journal on Educational Resources in Computing","issn_l":"1531-4278","issn":["1531-4278"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Educational Resources in Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031126725","display_name":"John Cigas","orcid":null},"institutions":[{"id":"https://openalex.org/I114250311","display_name":"Rockhurst University","ror":"https://ror.org/038997171","country_code":"US","type":"education","lineage":["https://openalex.org/I114250311"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Cigas","raw_affiliation_strings":["Rockhurst University, Kansas City, MO"],"affiliations":[{"raw_affiliation_string":"Rockhurst University, Kansas City, MO","institution_ids":["https://openalex.org/I114250311"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091012676","display_name":"Wen\u2010Jung Hsin","orcid":null},"institutions":[{"id":"https://openalex.org/I4179309","display_name":"Park University","ror":"https://ror.org/04ngpga37","country_code":"US","type":"education","lineage":["https://openalex.org/I4179309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wen-Jung Hsin","raw_affiliation_strings":["Park University, Parkville, MO"],"affiliations":[{"raw_affiliation_string":"Park University, Parkville, MO","institution_ids":["https://openalex.org/I4179309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031126725"],"corresponding_institution_ids":["https://openalex.org/I114250311"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.22481835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"5","issue":"2","first_page":"2","last_page":"2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9577999711036682,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9577999711036682,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9535999894142151,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10533","display_name":"Teaching and Learning Programming","score":0.9394999742507935,"subfield":{"id":"https://openalex.org/subfields/1706","display_name":"Computer Science Applications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8573439121246338},{"id":"https://openalex.org/keywords/java-applet","display_name":"Java applet","score":0.6300824880599976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6038729548454285},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5660234689712524},{"id":"https://openalex.org/keywords/automation","display_name":"Automation","score":0.49443507194519043},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.476909875869751},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40157824754714966},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3732614517211914},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3659666180610657},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.30282360315322876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2867628335952759}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8573439121246338},{"id":"https://openalex.org/C15524039","wikidata":"https://www.wikidata.org/wiki/Q865817","display_name":"Java applet","level":3,"score":0.6300824880599976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6038729548454285},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5660234689712524},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.49443507194519043},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.476909875869751},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40157824754714966},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3732614517211914},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3659666180610657},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.30282360315322876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2867628335952759},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C548217200","wikidata":"https://www.wikidata.org/wiki/Q251","display_name":"Java","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1141904.1141906","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141904.1141906","pdf_url":null,"source":{"id":"https://openalex.org/S4210208609","display_name":"Journal on Educational Resources in Computing","issn_l":"1531-4278","issn":["1531-4278"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Educational Resources in Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8500000238418579,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W364020722","https://openalex.org/W2400908863"],"related_works":["https://openalex.org/W3121650164","https://openalex.org/W1490787830","https://openalex.org/W110636835","https://openalex.org/W2914503058","https://openalex.org/W2007748792","https://openalex.org/W1557837846","https://openalex.org/W1483213041","https://openalex.org/W1510664936","https://openalex.org/W2991188812","https://openalex.org/W1501195639"],"abstract_inverted_index":{"Visual":[0],"logic":[1,44],"puzzles":[2,15],"provide":[3,47],"a":[4,24,33,36,79],"fertile":[5],"environment":[6],"for":[7,81,86],"teaching":[8],"multiple":[9],"topics":[10],"in":[11,51,64],"discrete":[12],"mathematics.":[13],"Many":[14],"can":[16],"be":[17],"solved":[18],"by":[19],"the":[20,54,62,88],"repeated":[21],"application":[22],"of":[23,28,61,73],"small,":[25],"finite":[26],"set":[27],"strategies.":[29],"Explicitly":[30],"reasoning":[31],"from":[32],"strategy":[34],"to":[35,53],"new":[37],"puzzle":[38],"state":[39],"illustrates":[40],"theorems,":[41],"proofs,":[42],"and":[43,83,96],"principles.":[45],"These":[46],"valuable,":[48],"concrete":[49],"examples,":[50],"addition":[52],"algebraic":[55],"proofs":[56],"that":[57],"make":[58],"up":[59],"most":[60],"examples":[63],"textbooks.":[65],"Creating":[66],"specialized,":[67],"pedagogical":[68],"applets":[69],"allows":[70],"more":[71],"automation":[72],"repetitive":[74],"tasks":[75],"as":[76,78],"well":[77],"framework":[80],"discussing":[82],"implementing":[84],"algorithms":[85],"solving":[87],"puzzles.":[89],"One":[90],"such":[91],"applet":[92],"is":[93],"presented":[94],"here":[95],"several":[97],"possible":[98],"exercises":[99],"using":[100],"it":[101],"are":[102],"described.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
