{"id":"https://openalex.org/W3206519528","doi":"https://doi.org/10.1145/3481312.3481319","title":"Computational Thinking in the Mathematics Classroom: Fostering Algorithmic Thinking and Generalization Skills Using Dynamic Mathematics Software","display_name":"Computational Thinking in the Mathematics Classroom: Fostering Algorithmic Thinking and Generalization Skills Using Dynamic Mathematics Software","publication_year":2021,"publication_date":"2021-10-18","ids":{"openalex":"https://openalex.org/W3206519528","doi":"https://doi.org/10.1145/3481312.3481319","mag":"3206519528"},"language":"en","primary_location":{"id":"doi:10.1145/3481312.3481319","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3481312.3481319","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3481312.3481319","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 16th Workshop in Primary and Secondary Computing Education","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3481312.3481319","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054364289","display_name":"Sylvia van Borkulo","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Sylvia van Borkulo","raw_affiliation_strings":["Utrecht University, Netherlands"],"affiliations":[{"raw_affiliation_string":"Utrecht University, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091690661","display_name":"Christos Chytas","orcid":"https://orcid.org/0000-0002-8766-5317"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Christos Chytas","raw_affiliation_strings":["Radboud University, Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University, Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085553542","display_name":"Paul Drijvers","orcid":"https://orcid.org/0000-0002-2724-4967"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Paul Drijvers","raw_affiliation_strings":["Utrecht University, Netherlands"],"affiliations":[{"raw_affiliation_string":"Utrecht University, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042684196","display_name":"Erik Barendsen","orcid":"https://orcid.org/0000-0003-4684-4287"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Erik Barendsen","raw_affiliation_strings":["Radboud University, Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University, Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055200721","display_name":"Jos Tolboom","orcid":"https://orcid.org/0000-0002-8939-1217"},"institutions":[{"id":"https://openalex.org/I4210139790","display_name":"SwissLitho (Switzerland)","ror":"https://ror.org/04nhd8d77","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210139790"]},{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]},{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["CH","NL"],"is_corresponding":false,"raw_author_name":"Jos Tolboom","raw_affiliation_strings":["SLO","Radboud University & Open","Utrecht University Utrecht, The Netherlands","Radboud University Nijmegen, The Netherlands","Universiteit of the Netherlands Nijmegen, The Netherlands","SLO, Netherlands Institute for Curriculum Development Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"SLO","institution_ids":["https://openalex.org/I4210139790"]},{"raw_affiliation_string":"Radboud University & Open","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Utrecht University Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Radboud University Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Universiteit of the Netherlands Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"SLO, Netherlands Institute for Curriculum Development Groningen, The Netherlands","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5054364289"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":5.5979,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.95980423,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10533","display_name":"Teaching and Learning Programming","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10533","display_name":"Teaching and Learning Programming","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10731","display_name":"Educational Games and Gamification","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T11122","display_name":"Online Learning and Analytics","score":0.9621000289916992,"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/generalization","display_name":"Generalization","score":0.7976219654083252},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.6970437169075012},{"id":"https://openalex.org/keywords/computational-thinking","display_name":"Computational thinking","score":0.6362277269363403},{"id":"https://openalex.org/keywords/intervention","display_name":"Intervention (counseling)","score":0.583836555480957},{"id":"https://openalex.org/keywords/curriculum","display_name":"Curriculum","score":0.5379695296287537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5134797692298889},{"id":"https://openalex.org/keywords/connected-mathematics","display_name":"Connected Mathematics","score":0.42145392298698425},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.4146749973297119},{"id":"https://openalex.org/keywords/pedagogy","display_name":"Pedagogy","score":0.29866093397140503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22452005743980408},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.18482568860054016},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1753431260585785}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7976219654083252},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6970437169075012},{"id":"https://openalex.org/C2780368719","wikidata":"https://www.wikidata.org/wiki/Q5157342","display_name":"Computational thinking","level":2,"score":0.6362277269363403},{"id":"https://openalex.org/C2780665704","wikidata":"https://www.wikidata.org/wiki/Q959298","display_name":"Intervention (counseling)","level":2,"score":0.583836555480957},{"id":"https://openalex.org/C47177190","wikidata":"https://www.wikidata.org/wiki/Q207137","display_name":"Curriculum","level":2,"score":0.5379695296287537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5134797692298889},{"id":"https://openalex.org/C118840557","wikidata":"https://www.wikidata.org/wiki/Q5161405","display_name":"Connected Mathematics","level":2,"score":0.42145392298698425},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.4146749973297119},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.29866093397140503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22452005743980408},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.18482568860054016},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1753431260585785},{"id":"https://openalex.org/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/3481312.3481319","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3481312.3481319","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3481312.3481319","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 16th Workshop in Primary and Secondary Computing Education","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.library.uu.nl:1874/417200","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/417200","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Part of book"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/240176","is_oa":false,"landing_page_url":"https://repository.ubn.ru.nl/handle/2066/240176","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Berges, M. (ed.), WiPSCE '21: The 16th Workshop in Primary and Secondary Computing Education, Virtual Event Germany October 18 - 20, 2021, pp. 1-9","raw_type":"Article in monograph or in proceedings"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/240176","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/240176","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Berges, M. (ed.), WiPSCE '21: The 16th Workshop in Primary and Secondary Computing Education, Virtual Event Germany October 18 - 20, 2021, 1 - 9. New York : Association for Computing Machinery","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/420260","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/420260","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The 16th Workshop in Primary and Secondary Computing Education (WiPSCE \u201921), October 18\u201320, 2021, Virtual Event, Germany, 19:1. Association for Computing Machinery","raw_type":"info:eu-repo/semantics/bookpart"}],"best_oa_location":{"id":"doi:10.1145/3481312.3481319","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3481312.3481319","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3481312.3481319","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 16th Workshop in Primary and Secondary Computing Education","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.8600000143051147,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3206519528.pdf","grobid_xml":"https://content.openalex.org/works/W3206519528.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W12451676","https://openalex.org/W115682685","https://openalex.org/W1496130232","https://openalex.org/W1537860447","https://openalex.org/W1551403135","https://openalex.org/W1687473687","https://openalex.org/W1787892060","https://openalex.org/W1815090327","https://openalex.org/W1822080975","https://openalex.org/W1946765856","https://openalex.org/W1990060255","https://openalex.org/W1991416201","https://openalex.org/W2026493491","https://openalex.org/W2067652191","https://openalex.org/W2084944215","https://openalex.org/W2100029531","https://openalex.org/W2103743995","https://openalex.org/W2142469628","https://openalex.org/W2184875165","https://openalex.org/W2289573595","https://openalex.org/W2339183141","https://openalex.org/W2342026444","https://openalex.org/W2531461299","https://openalex.org/W2774980138","https://openalex.org/W2793284312","https://openalex.org/W2885254805","https://openalex.org/W2892995758","https://openalex.org/W2900118819","https://openalex.org/W2922530790","https://openalex.org/W2946982776","https://openalex.org/W2954798993","https://openalex.org/W2960793597","https://openalex.org/W3081087579","https://openalex.org/W3128746606","https://openalex.org/W3130042265","https://openalex.org/W3137780327","https://openalex.org/W3152574854","https://openalex.org/W3165385978","https://openalex.org/W4231725089","https://openalex.org/W4288282382","https://openalex.org/W4293087366","https://openalex.org/W6600495347"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2885094885","https://openalex.org/W4387103214","https://openalex.org/W2004248714","https://openalex.org/W2801343131","https://openalex.org/W2003316867","https://openalex.org/W2351915757","https://openalex.org/W2378476498","https://openalex.org/W3206519528","https://openalex.org/W3188347675"],"abstract_inverted_index":{"There":[0],"are":[1,31,38],"increasing":[2],"calls":[3],"for":[4,155,193],"mathematics":[5,43,62,86,203],"teachers":[6,78,194],"to":[7,49,90,164,187,197],"foster":[8,91],"computational":[9],"thinking":[10,27],"(CT)":[11],"skills":[12,97],"in":[13,41,55,82,98,105,110,202],"their":[14,143],"lessons":[15,58],"and":[16,22,29,52,77,85,95,121,138,141,145,170,181,184,190],"align":[17],"them":[18],"with":[19,79,167],"existing":[20],"curricula":[21],"national":[23],"educational":[24],"policies.":[25],"Algorithmic":[26],"(AT)":[28],"generalization":[30,53,96,191],"two":[32],"key":[33],"elements":[34],"of":[35,75,116],"CT":[36,200],"that":[37,88,128,142],"often":[39],"underrepresented":[40],"traditional":[42],"lessons.":[44,100,204],"This":[45],"study":[46],"investigated":[47],"how":[48],"address":[50,188,198],"AT":[51,94,189],"aspects":[54,192,201],"12th-grade":[56],"calculus":[57,99],"using":[59,172],"the":[60,103,111,114,122,129,136,139,158,179],"dynamic":[61],"software":[63],"GeoGebra.":[64],"We":[65,101],"present":[66],"a":[67,80,106],"six-lesson":[68],"intervention":[69,104,130],"designed":[70,159],"by":[71,134],"an":[72],"interdisciplinary":[73],"team":[74],"researchers":[76],"background":[81],"computer":[83],"science":[84],"education":[87],"aims":[89],"pre-university":[92],"students\u2019":[93,117],"evaluated":[102],"15":[107],"students":[108],"classroom":[109],"Netherlands":[112],"through":[113],"analysis":[115],"workbooks,":[118],"files,":[119],"interviews,":[120],"teacher\u2019s":[123],"logbook.":[124],"The":[125,151],"findings":[126],"suggest":[127],"was":[131,148],"favorably":[132],"seen":[133],"both":[135],"teacher":[137],"students,":[140],"learning":[144,180],"teaching":[146,182],"experience":[147,183],"highly":[149],"satisfactory.":[150],"most":[152],"common":[153],"challenges":[154],"successfully":[156],"completing":[157],"material":[160],"included":[161],"issues":[162],"related":[163],"getting":[165],"familiar":[166],"GeoGebra,":[168],"syntax,":[169],"effectively":[171],"conditional":[173],"statements.":[174],"Finally,":[175],"we":[176],"report":[177],"on":[178],"discuss":[185],"strategies":[186],"who":[195],"wish":[196],"such":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
