{"id":"https://openalex.org/W2611027411","doi":"https://doi.org/10.1145/3025453.3025468","title":"Structured Input Improves Usability and Precision for Solving Geometry-based Algebraic Problems","display_name":"Structured Input Improves Usability and Precision for Solving Geometry-based Algebraic Problems","publication_year":2017,"publication_date":"2017-05-02","ids":{"openalex":"https://openalex.org/W2611027411","doi":"https://doi.org/10.1145/3025453.3025468","mag":"2611027411"},"language":"en","primary_location":{"id":"doi:10.1145/3025453.3025468","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3025453.3025468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 CHI Conference on Human Factors in Computing Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/scopus2015/7408","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110522047","display_name":"Bo Kang","orcid":null},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bo Kang","raw_affiliation_strings":["University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026436478","display_name":"Joseph J. LaViola","orcid":"https://orcid.org/0000-0003-1186-4130"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph J. LaViola Jr.","raw_affiliation_strings":["University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032530421","display_name":"Pamela Wi\u015bniewski","orcid":"https://orcid.org/0000-0002-6223-1029"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pamela Wisniewski","raw_affiliation_strings":["University of Central Florida, Orlando, FL, USA"],"affiliations":[{"raw_affiliation_string":"University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110522047"],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":0.2342,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62427175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4692","last_page":"4702"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11516","display_name":"Visual and Cognitive Learning Processes","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11516","display_name":"Visual and Cognitive Learning Processes","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10789","display_name":"Interactive and Immersive Displays","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1709","display_name":"Human-Computer Interaction"},"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/T10636","display_name":"Innovative Teaching and Learning Methods","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sketch","display_name":"Sketch","score":0.909331202507019},{"id":"https://openalex.org/keywords/usability","display_name":"Usability","score":0.7003414630889893},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.596672773361206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5832386016845703},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.49018293619155884},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.47118428349494934},{"id":"https://openalex.org/keywords/perception","display_name":"Perception","score":0.4647495150566101},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.4118120074272156},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3503219485282898},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3222968280315399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2942769527435303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24820980429649353},{"id":"https://openalex.org/keywords/human\u2013computer-interaction","display_name":"Human\u2013computer interaction","score":0.22780179977416992},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10320812463760376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06616804003715515}],"concepts":[{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.909331202507019},{"id":"https://openalex.org/C170130773","wikidata":"https://www.wikidata.org/wiki/Q216378","display_name":"Usability","level":2,"score":0.7003414630889893},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.596672773361206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5832386016845703},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.49018293619155884},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.47118428349494934},{"id":"https://openalex.org/C26760741","wikidata":"https://www.wikidata.org/wiki/Q160402","display_name":"Perception","level":2,"score":0.4647495150566101},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.4118120074272156},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3503219485282898},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3222968280315399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2942769527435303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24820980429649353},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.22780179977416992},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10320812463760376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06616804003715515},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3025453.3025468","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3025453.3025468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 CHI Conference on Human Factors in Computing Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:stars.library.ucf.edu:scopus2015-8407","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2015/7408","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2015-2019","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:scopus2015-8407","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus2015/7408","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus Export 2015-2019","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.8700000047683716,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W45067439","https://openalex.org/W59380319","https://openalex.org/W1508092372","https://openalex.org/W1513292515","https://openalex.org/W1972373432","https://openalex.org/W1973394302","https://openalex.org/W1979290264","https://openalex.org/W1980877068","https://openalex.org/W2002832773","https://openalex.org/W2023192402","https://openalex.org/W2024196580","https://openalex.org/W2025874771","https://openalex.org/W2026687385","https://openalex.org/W2031071334","https://openalex.org/W2042509276","https://openalex.org/W2080009145","https://openalex.org/W2087484885","https://openalex.org/W2095632701","https://openalex.org/W2097248932","https://openalex.org/W2098836165","https://openalex.org/W2099684934","https://openalex.org/W2105049116","https://openalex.org/W2108902595","https://openalex.org/W2109504739","https://openalex.org/W2111294225","https://openalex.org/W2112564774","https://openalex.org/W2115693658","https://openalex.org/W2118127318","https://openalex.org/W2119555207","https://openalex.org/W2120106329","https://openalex.org/W2128793953","https://openalex.org/W2131666595","https://openalex.org/W2132986671","https://openalex.org/W2133267628","https://openalex.org/W2136691781","https://openalex.org/W2137548130","https://openalex.org/W2139933968","https://openalex.org/W2145930572","https://openalex.org/W2145959406","https://openalex.org/W2146532796","https://openalex.org/W2150840043","https://openalex.org/W2157289187","https://openalex.org/W2161304134","https://openalex.org/W2162385689","https://openalex.org/W2163096731","https://openalex.org/W2166309735","https://openalex.org/W2168443748","https://openalex.org/W2211871015","https://openalex.org/W2293623584","https://openalex.org/W2322584079","https://openalex.org/W2467263134","https://openalex.org/W2772641984","https://openalex.org/W2892155523","https://openalex.org/W3004684092","https://openalex.org/W4205191326","https://openalex.org/W4378898217"],"related_works":["https://openalex.org/W2378994405","https://openalex.org/W2385974820","https://openalex.org/W2373478030","https://openalex.org/W2378679551","https://openalex.org/W3149739944","https://openalex.org/W2392363776","https://openalex.org/W2063051341","https://openalex.org/W2591066345","https://openalex.org/W1494563618","https://openalex.org/W2357022711"],"abstract_inverted_index":{"Previous":[0],"research":[1,19],"has":[2,20],"shown":[3],"that":[4,133],"sketch-based":[5,71,78,121,135],"input":[6,33,72,79,136,143],"is":[7],"efficient":[8],"and":[9,45,63,73,96,114],"preferable":[10,140],"in":[11,51],"the":[12,84,120,127],"context":[13],"of":[14,67],"algebraic":[15,47],"equation":[16],"solving.":[17],"However,":[18,98],"not":[21],"been":[22],"conducted":[23],"to":[24,34,53],"evaluate":[25],"whether":[26],"this":[27],"holds":[28],"true":[29],"when":[30],"involving":[31],"geometry":[32,68,115],"facilitate":[35],"quantitative":[36],"problem-solving.":[37,149],"We":[38],"developed":[39],"a":[40,55,100,105],"bimodal":[41],"(graphing":[42],"geometric":[43],"shapes":[44],"writing":[46],"expressions)":[48],"user":[49],"interface,":[50],"order":[52],"conduct":[54],"within-subject,":[56],"controlled":[57],"experiment":[58],"with":[59],"24":[60],"college":[61],"students":[62,118,125],"varied":[64],"two":[65],"types":[66],"input:":[69],"1)":[70],"2)":[74],"structured":[75,85,128,142],"input.":[76,116,129],"The":[77],"was":[80],"significantly":[81],"faster":[82],"than":[83,141],"input,":[86,122],"but":[87,123],"there":[88],"were":[89],"no":[90],"significant":[91,106],"differences":[92],"based":[93],"on":[94,109],"perception":[95,110],"cognition.":[97],"after":[99],"post-hoc":[101],"analysis,":[102],"we":[103],"found":[104],"interaction":[107],"effect":[108],"between":[111],"prior":[112],"knowledge":[113],"Novice":[117],"preferred":[119,126],"advanced":[124],"Our":[130],"study":[131],"implies":[132],"natural":[134],"may":[137],"be":[138],"less":[139],"for":[144],"geometry-based":[145],"interfaces":[146],"toward":[147],"math":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
