{"id":"https://openalex.org/W2900887226","doi":"https://doi.org/10.1515/icom-2018-0027","title":"Multimodal Algebra Learning: From Math Manipulatives to Tangible User Interfaces","display_name":"Multimodal Algebra Learning: From Math Manipulatives to Tangible User Interfaces","publication_year":2018,"publication_date":"2018-11-14","ids":{"openalex":"https://openalex.org/W2900887226","doi":"https://doi.org/10.1515/icom-2018-0027","mag":"2900887226"},"language":"en","primary_location":{"id":"doi:10.1515/icom-2018-0027","is_oa":true,"landing_page_url":"https://doi.org/10.1515/icom-2018-0027","pdf_url":"https://www.degruyter.com/document/doi/10.1515/icom-2018-0027/pdf","source":{"id":"https://openalex.org/S4210235838","display_name":"i-com","issn_l":"1618-162X","issn":["1618-162X","2196-6826"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"i-com","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.degruyter.com/document/doi/10.1515/icom-2018-0027/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108656150","display_name":"Anke Reinschl\u00fcssel","orcid":null},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I4210141311","display_name":"Staats- und Universit\u00e4tsbibliothek Bremen","ror":"https://ror.org/04cwb1p56","country_code":"DE","type":"archive","lineage":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Anke Reinschl\u00fcssel","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058009877","display_name":"Dmitry Alexandrovsky","orcid":"https://orcid.org/0000-0001-9551-719X"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I4210141311","display_name":"Staats- und Universit\u00e4tsbibliothek Bremen","ror":"https://ror.org/04cwb1p56","country_code":"DE","type":"archive","lineage":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dmitry Alexandrovsky","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055443623","display_name":"Tanja D\u00f6ring","orcid":"https://orcid.org/0000-0001-8648-340X"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I4210141311","display_name":"Staats- und Universit\u00e4tsbibliothek Bremen","ror":"https://ror.org/04cwb1p56","country_code":"DE","type":"archive","lineage":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tanja D\u00f6ring","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052970525","display_name":"Angelie Kraft","orcid":"https://orcid.org/0000-0002-2980-952X"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I4210141311","display_name":"Staats- und Universit\u00e4tsbibliothek Bremen","ror":"https://ror.org/04cwb1p56","country_code":"DE","type":"archive","lineage":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Angelie Kraft","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012757810","display_name":"Maike Braukm\u00fcller","orcid":null},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maike Braukm\u00fcller","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048779618","display_name":"Thomas Jan\u00dfen","orcid":"https://orcid.org/0000-0001-7031-2251"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Jan\u00dfen","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015925724","display_name":"David A. Reid","orcid":"https://orcid.org/0000-0001-5363-5948"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"David Reid","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110584072","display_name":"Estela Vallejo","orcid":null},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Estela Vallejo","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075344958","display_name":"Angelika Bikner\u2010Ahsbahs","orcid":"https://orcid.org/0000-0002-0407-4897"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Angelika Bikner-Ahsbahs","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , AG Didaktik der Mathematik , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012935754","display_name":"Rainer Malaka","orcid":"https://orcid.org/0000-0001-6463-4828"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I4210141311","display_name":"Staats- und Universit\u00e4tsbibliothek Bremen","ror":"https://ror.org/04cwb1p56","country_code":"DE","type":"archive","lineage":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rainer Malaka","raw_affiliation_strings":["232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"232610 Universit\u00e4t Bremen Fachbereich 03 Mathematik Informatik , Digitale Medien Lab , Bibliothekstr. 5 , Bremen , Germany","institution_ids":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108656150"],"corresponding_institution_ids":["https://openalex.org/I180437899","https://openalex.org/I4210141311"],"apc_list":{"value":750,"currency":"EUR","value_usd":848},"apc_paid":null,"fwci":0.9322,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.79327399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"17","issue":"3","first_page":"201","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10789","display_name":"Interactive and Immersive Displays","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10789","display_name":"Interactive and Immersive Displays","score":0.9986000061035156,"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":0.9927999973297119,"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/T13412","display_name":"Education and Technology Integration","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.6056159138679504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5934277176856995},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.5176523327827454},{"id":"https://openalex.org/keywords/human\u2013computer-interaction","display_name":"Human\u2013computer interaction","score":0.38414907455444336},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3477112054824829},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20218312740325928},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0812404453754425}],"concepts":[{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.6056159138679504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5934277176856995},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5176523327827454},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.38414907455444336},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3477112054824829},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20218312740325928},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0812404453754425}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/icom-2018-0027","is_oa":true,"landing_page_url":"https://doi.org/10.1515/icom-2018-0027","pdf_url":"https://www.degruyter.com/document/doi/10.1515/icom-2018-0027/pdf","source":{"id":"https://openalex.org/S4210235838","display_name":"i-com","issn_l":"1618-162X","issn":["1618-162X","2196-6826"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"i-com","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1515/icom-2018-0027","is_oa":true,"landing_page_url":"https://doi.org/10.1515/icom-2018-0027","pdf_url":"https://www.degruyter.com/document/doi/10.1515/icom-2018-0027/pdf","source":{"id":"https://openalex.org/S4210235838","display_name":"i-com","issn_l":"1618-162X","issn":["1618-162X","2196-6826"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"i-com","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8600000143051147,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2900887226.pdf","grobid_xml":"https://content.openalex.org/works/W2900887226.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1911641589","https://openalex.org/W1963906316","https://openalex.org/W2023412552","https://openalex.org/W2027909523","https://openalex.org/W2029251899","https://openalex.org/W2030181881","https://openalex.org/W2045744625","https://openalex.org/W2059403519","https://openalex.org/W2068389981","https://openalex.org/W2069069995","https://openalex.org/W2087686602","https://openalex.org/W2110378855","https://openalex.org/W2116343313","https://openalex.org/W2117481809","https://openalex.org/W2149891956","https://openalex.org/W2603097326","https://openalex.org/W2656211473","https://openalex.org/W3005115464"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880","https://openalex.org/W1596801655"],"abstract_inverted_index":{"Abstract":[0],"While":[1],"manipulatives":[2],"have":[3],"played":[4],"an":[5,96],"important":[6],"role":[7],"in":[8,21,90],"children\u2019s":[9],"mathematics":[10,37],"development":[11],"for":[12,52,64,75,79],"decades,":[13],"employing":[14],"tangible":[15,49,76],"objects":[16],"together":[17],"with":[18,34,99],"digital":[19],"systems":[20],"the":[22,45,111],"classroom":[23,94],"has":[24],"been":[25],"rarely":[26],"explored":[27],"yet.":[28],"In":[29,68],"a":[30,40,61,86,91],"transdisciplinary":[31],"research":[32],"project":[33],"computer":[35],"scientists,":[36],"educators":[38],"and":[39,55,95,109],"textbook":[41,100],"publisher,":[42],"we":[43,71,107],"investigate":[44],"potentials":[46],"of":[47],"using":[48],"user":[50,77],"interfaces":[51,78],"algebra":[53,80],"learning":[54,81],"develop":[56],"as":[57,59],"well":[58],"evaluate":[60],"scalable":[62],"system":[63,113],"different":[65],"use":[66],"cases.":[67],"this":[69],"paper,":[70],"present":[72,108],"design":[73],"implications":[74],"that":[82],"were":[83],"derived":[84],"from":[85],"comprehensive":[87],"field":[88],"study":[89,98],"grade":[92],"9":[93],"expert":[97],"authors,":[101],"who":[102],"also":[103],"are":[104],"teachers.":[105],"Furthermore,":[106],"discuss":[110],"resulting":[112],"design.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}