{"id":"https://openalex.org/W7221702045","doi":"https://doi.org/10.34238/tnu-jst.16415","title":"PH\u00c2N T\u00cdCH M\u1ed8T S\u1ed0 SAI L\u1ea6M C\u00d3 TH\u1ec2 G\u1eb6P C\u1ee6A H\u1eccC SINH KHI H\u1eccC CH\u1ee6 \u0110\u1ec0 \u201c\u0110\u1ea0I S\u1ed0 T\u1ed4 H\u1ee2P\u201d L\u1edaP 10: H\u00c0M \u00dd \u0110\u1ed0I V\u1edaI THI\u1ebeT K\u1ebe H\u1eccC LI\u1ec6U S\u1ed0 H\u1ed6 TR\u1ee2 H\u1eccC SINH PH\u00c1T HI\u1ec6N V\u00c0 S\u1eecA CH\u1eeeA SAI L\u1ea6M","display_name":"PH\u00c2N T\u00cdCH M\u1ed8T S\u1ed0 SAI L\u1ea6M C\u00d3 TH\u1ec2 G\u1eb6P C\u1ee6A H\u1eccC SINH KHI H\u1eccC CH\u1ee6 \u0110\u1ec0 \u201c\u0110\u1ea0I S\u1ed0 T\u1ed4 H\u1ee2P\u201d L\u1edaP 10: H\u00c0M \u00dd \u0110\u1ed0I V\u1edaI THI\u1ebeT K\u1ebe H\u1eccC LI\u1ec6U S\u1ed0 H\u1ed6 TR\u1ee2 H\u1eccC SINH PH\u00c1T HI\u1ec6N V\u00c0 S\u1eecA CH\u1eeeA SAI L\u1ea6M","publication_year":2026,"publication_date":"2026-09-28","ids":{"openalex":"https://openalex.org/W7221702045","doi":"https://doi.org/10.34238/tnu-jst.16415"},"language":"vi","primary_location":{"id":"doi:10.34238/tnu-jst.16415","doi":"https://doi.org/10.34238/tnu-jst.16415","is_oa":true,"landing_page_url":"https://doi.org/10.34238/tnu-jst.16415","pdf_url":null,"source":{"id":"https://openalex.org/S4210180384","display_name":"TNU Journal of Science and Technology","issn_l":"1859-2171","issn":["1859-2171","2615-9562","2734-9098"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210115718","host_organization_name":"Thai Nguyen University","host_organization_lineage":["https://openalex.org/I4210115718"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TNU Journal of Science and Technology","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.34238/tnu-jst.16415","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072487330","display_name":"Thao Trinh Thi Phuong","orcid":"https://orcid.org/0000-0001-6277-4907","observed_orcids":["https://orcid.org/0000-0001-6277-4907"]},"institutions":[{"id":"https://openalex.org/I4210115718","display_name":"Thai Nguyen University","ror":"https://ror.org/02128gy91","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210115718"]},{"id":"https://openalex.org/I4387154701","display_name":"Thai Nguyen University Of Education","ror":"https://ror.org/044deqz63","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387154701"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Tr\u1ecbnh Th\u1ecb Ph\u01b0\u01a1ng Th\u1ea3o","raw_affiliation_strings":["Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean"],"raw_orcid":"https://orcid.org/0000-0001-6277-4907","affiliations":[{"raw_affiliation_string":"Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean","institution_ids":["https://openalex.org/I4210115718","https://openalex.org/I4387154701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5117846795","display_name":"B\u00f9i \u0110\u1ee9c Th\u1ecbnh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210115718","display_name":"Thai Nguyen University","ror":"https://ror.org/02128gy91","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210115718"]},{"id":"https://openalex.org/I4387154701","display_name":"Thai Nguyen University Of Education","ror":"https://ror.org/044deqz63","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387154701"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"B\u00f9i \u0110\u1ee9c Th\u1ecbnh","raw_affiliation_strings":["Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean","institution_ids":["https://openalex.org/I4210115718","https://openalex.org/I4387154701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5158621446","display_name":"Nguy\u1ec5n Th\u1ecb Thanh Huy\u1ec1n","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210115718","display_name":"Thai Nguyen University","ror":"https://ror.org/02128gy91","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210115718"]},{"id":"https://openalex.org/I4387154701","display_name":"Thai Nguyen University Of Education","ror":"https://ror.org/044deqz63","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387154701"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguy\u1ec5n Th\u1ecb Thu H\u01b0\u01a1ng","raw_affiliation_strings":["Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean","institution_ids":["https://openalex.org/I4210115718","https://openalex.org/I4387154701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5158579707","display_name":"T\u1ea1 Quang M\u1ea1nh","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210115718","display_name":"Thai Nguyen University","ror":"https://ror.org/02128gy91","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210115718"]},{"id":"https://openalex.org/I4387154701","display_name":"Thai Nguyen University Of Education","ror":"https://ror.org/044deqz63","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387154701"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"T\u1ea1 Quang M\u1ea1nh","raw_affiliation_strings":["Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean","institution_ids":["https://openalex.org/I4210115718","https://openalex.org/I4387154701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5158574719","display_name":"Nguy\u1ec5n Tr\u00e0 My","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210115718","display_name":"Thai Nguyen University","ror":"https://ror.org/02128gy91","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210115718"]},{"id":"https://openalex.org/I4387154701","display_name":"Thai Nguyen University Of Education","ror":"https://ror.org/044deqz63","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387154701"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguy\u1ec5n Tr\u00e0 My","raw_affiliation_strings":["Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean","institution_ids":["https://openalex.org/I4210115718","https://openalex.org/I4387154701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063798362","display_name":"Nguyen Le Anh Thu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210115718","display_name":"Thai Nguyen University","ror":"https://ror.org/02128gy91","country_code":"VN","type":"education","lineage":["https://openalex.org/I4210115718"]},{"id":"https://openalex.org/I4387154701","display_name":"Thai Nguyen University Of Education","ror":"https://ror.org/044deqz63","country_code":"VN","type":"education","lineage":["https://openalex.org/I4387154701"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguy\u1ec5n L\u00ea Anh Th\u01b0","raw_affiliation_strings":["Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tr\u01b0\u1eddng \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m - \u0110H Th\u00e1i Nguy\u00ean","institution_ids":["https://openalex.org/I4210115718","https://openalex.org/I4387154701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.80495077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"231","issue":"03/S","first_page":"232","last_page":"239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.7705000042915344,"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":0.7705000042915344,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.1881999969482422,"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/T11875","display_name":"Statistics Education and Methodologies","score":0.03020000085234642,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/student-errors","display_name":"student errors","score":0.8740000128746033},{"id":"https://openalex.org/keywords/combinatorics","display_name":"combinatorics","score":0.8859999775886536},{"id":"https://openalex.org/keywords/addition-rule","display_name":"addition rule","score":0.4690000116825104},{"id":"https://openalex.org/keywords/multiplication-rule","display_name":"multiplication rule","score":0.996999979019165},{"id":"https://openalex.org/keywords/permutations","display_name":"permutations","score":0.7049999833106995},{"id":"https://openalex.org/keywords/combinations","display_name":"combinations","score":0.9990000128746033},{"id":"https://openalex.org/keywords/enumeration-problems","display_name":"counting problems","score":0.5049999952316284},{"id":"https://openalex.org/keywords/digital-learning-resources","display_name":"digital learning resources","score":0.7409999966621399},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"error detection and correction","score":0.8149999976158142},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"mathematics education","score":0.4230000078678131},{"id":"https://openalex.org/keywords/grade-10","display_name":"grade 10","score":0.7549999952316284}],"concepts":[{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.3384000062942505},{"id":"https://openalex.org/C120324620","wikidata":"https://www.wikidata.org/wiki/Q15304537","display_name":"Chai","level":2,"score":0.2955999970436096},{"id":"https://openalex.org/C3019398675","wikidata":"https://www.wikidata.org/wiki/Q11708","display_name":"Southeast asia","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.22059999406337738},{"id":"https://openalex.org/C37621935","wikidata":"https://www.wikidata.org/wiki/Q3606845","display_name":"Agricultural science","level":1,"score":0.2176000028848648},{"id":"https://openalex.org/C29985473","wikidata":"https://www.wikidata.org/wiki/Q188460","display_name":"Natural resource","level":2,"score":0.21400000154972076},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21320000290870667},{"id":"https://openalex.org/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"score":0.20600000023841858},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.20499999821186066},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.19859999418258667}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.34238/tnu-jst.16415","doi":"https://doi.org/10.34238/tnu-jst.16415","is_oa":true,"landing_page_url":"https://doi.org/10.34238/tnu-jst.16415","pdf_url":null,"source":{"id":"https://openalex.org/S4210180384","display_name":"TNU Journal of Science and Technology","issn_l":"1859-2171","issn":["1859-2171","2615-9562","2734-9098"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210115718","host_organization_name":"Thai Nguyen University","host_organization_lineage":["https://openalex.org/I4210115718"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TNU Journal of Science and Technology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.34238/tnu-jst.16415","doi":"https://doi.org/10.34238/tnu-jst.16415","is_oa":true,"landing_page_url":"https://doi.org/10.34238/tnu-jst.16415","pdf_url":null,"source":{"id":"https://openalex.org/S4210180384","display_name":"TNU Journal of Science and Technology","issn_l":"1859-2171","issn":["1859-2171","2615-9562","2734-9098"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210115718","host_organization_name":"Thai Nguyen University","host_organization_lineage":["https://openalex.org/I4210115718"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TNU Journal of Science and Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.8278999924659729}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4402311033","https://openalex.org/W4414796963","https://openalex.org/W7219946345","https://openalex.org/W7216653879","https://openalex.org/W4206312092","https://openalex.org/W7083829454","https://openalex.org/W3215648665","https://openalex.org/W7158429563","https://openalex.org/W7216687789","https://openalex.org/W6922608773"],"abstract_inverted_index":{"B\u00e0i":[0],"b\u00e1o":[1,101],"ph\u00e2n":[2,66,102,130,166,195],"t\u00edch":[3,67,103,167,196],"m\u1ed9t":[4],"s\u1ed1":[5,21,37,125,128,141,213],"sai":[6,45,105,150,205],"l\u1ea7m":[7,106,151,206],"c\u00f3":[8,126],"th\u1ec3":[9,240],"g\u1eb7p":[10],"c\u1ee7a":[11,79],"h\u1ecdc":[12,17,35,171,181,211],"sinh":[13,182],"l\u1edbp":[14],"10":[15],"khi":[16],"ch\u1ee7":[18],"\u0111\u1ec1":[19],"\u201c\u0110\u1ea1i":[20],"t\u1ed5":[22,120,175],"h\u1ee3p\u201d":[23],"v\u00e0":[24,42,91,113,119,138,172,188,225,244,253],"r\u00fat":[25],"ra":[26],"h\u00e0m":[27,232],"\u00fd":[28,174,233],"ban":[29],"\u0111\u1ea7u":[30],"\u0111\u1ed1i":[31],"v\u1edbi":[32],"thi\u1ebft":[33,251],"k\u1ebf":[34,252],"li\u1ec7u":[36,63,212],"h\u1ed7":[38,179],"tr\u1ee3":[39,180],"ph\u00e1t":[40,184],"hi\u1ec7n":[41,51],"s\u1eeda":[43],"ch\u1eefa":[44],"l\u1ea7m.":[46],"Nghi\u00ean":[47],"c\u1ee9u":[48,61,250],"\u0111\u01b0\u1ee3c":[49,152,238],"th\u1ef1c":[50,254],"theo":[52],"h\u01b0\u1edbng":[53],"\u0111\u1ecbnh":[54,140,219,243],"t\u00ednh,":[55],"s\u1eed":[56],"d\u1ee5ng":[57,95],"ph\u01b0\u01a1ng":[58],"ph\u00e1p":[59],"nghi\u00ean":[60,249],"t\u00e0i":[62],"k\u1ebft":[64],"h\u1ee3p":[65,118,133],"n\u1ed9i":[68,226],"dung":[69,227],"to\u00e1n":[70,123,136,170],"h\u1ecdc.":[71],"Tr\u00ean":[72],"c\u01a1":[73,168],"s\u1edf":[74,169],"xem":[75],"x\u00e9t":[76],"y\u00eau":[77],"c\u1ea7u":[78],"c\u00e1c":[80,104,208,248],"d\u1ea1ng":[81,204],"nhi\u1ec7m":[82,221],"v\u1ee5,":[83],"nh\u1eefng":[84],"\u0111i\u1ec1u":[85,189],"ki\u1ec7n":[86],"d\u1ec5":[87],"b\u1ecb":[88],"b\u1ecf":[89],"s\u00f3t":[90],"kh\u1ea3":[92,199],"n\u0103ng":[93,200],"v\u1eadn":[94],"m\u00e1y":[96],"m\u00f3c":[97],"c\u00f4ng":[98],"th\u1ee9c,":[99],"b\u00e0i":[100,122,135],"li\u00ean":[107],"quan":[108],"\u0111\u1ebfn":[109],"quy":[110,114],"t\u1eafc":[111,115],"c\u1ed9ng":[112],"nh\u00e2n,":[116],"ch\u1ec9nh":[117,190],"h\u1ee3p,":[121,165],"l\u1eadp":[124],"ch\u1eef":[127],"0,":[129],"chia":[131],"tr\u01b0\u1eddng":[132],"trong":[134,143,247],"\u0111\u1ebfm":[137],"x\u00e1c":[139],"h\u1ea1ng":[142],"khai":[144],"tri\u1ec3n":[145],"Nh\u1ecb":[146],"th\u1ee9c":[147],"Newton.":[148],"M\u1ed7i":[149],"tr\u00ecnh":[153],"b\u00e0y":[154],"th\u00f4ng":[155],"qua":[156],"t\u00ecnh":[157,215],"hu\u1ed1ng":[158],"minh":[159],"h\u1ecda,":[160],"l\u1eddi":[161,191],"gi\u1ea3i":[162],"ch\u01b0a":[163],"ph\u00f9":[164],"g\u1ee3i":[173,197],"ch\u1ee9c":[176],"ho\u1ea1t":[177],"\u0111\u1ed9ng":[178],"t\u1ef1":[183],"hi\u1ec7n,":[185],"ki\u1ec3m":[186,223,245],"ch\u1ee9ng":[187,224,246],"gi\u1ea3i.":[192],"K\u1ebft":[193],"qu\u1ea3":[194],"m\u1edf":[198],"chuy\u1ec3n":[201],"h\u00f3a":[202],"m\u1ed7i":[203],"th\u00e0nh":[207],"\u0111\u01a1n":[209],"v\u1ecb":[210],"g\u1ed3m":[214],"hu\u1ed1ng,":[216],"c\u00e2u":[217],"h\u1ecfi":[218],"h\u01b0\u1edbng,":[220],"v\u1ee5":[222],"kh\u00e1i":[228],"qu\u00e1t":[229],"h\u00f3a.":[230],"C\u00e1c":[231],"n\u00e0y":[234],"c\u1ea7n":[235],"ti\u1ebfp":[236,256],"t\u1ee5c":[237],"c\u1ee5":[239],"h\u00f3a,":[241],"th\u1ea9m":[242],"nghi\u1ec7m":[255],"theo.":[257]},"counts_by_year":[],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2026-10-14T00:00:00"}