{"id":"https://openalex.org/W7140081640","doi":"https://doi.org/10.22342/jme.v17i1.pp299-318","title":"Supporting proportional reasoning in ratio and proportion through agricultural contexts: A local instructional theory","display_name":"Supporting proportional reasoning in ratio and proportion through agricultural contexts: A local instructional theory","publication_year":2026,"publication_date":"2026-03-16","ids":{"openalex":"https://openalex.org/W7140081640","doi":"https://doi.org/10.22342/jme.v17i1.pp299-318"},"language":"en","primary_location":{"id":"doi:10.22342/jme.v17i1.pp299-318","doi":"https://doi.org/10.22342/jme.v17i1.pp299-318","is_oa":true,"landing_page_url":"https://doi.org/10.22342/jme.v17i1.pp299-318","pdf_url":null,"source":{"id":"https://openalex.org/S2764632379","display_name":"Journal on Mathematics Education","issn_l":"2087-8885","issn":["2087-8885","2407-0610"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315074","host_organization_name":"Sriwijaya University","host_organization_lineage":["https://openalex.org/P4310315074"],"host_organization_lineage_names":["Sriwijaya University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Mathematics Education","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.22342/jme.v17i1.pp299-318","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041396388","display_name":"Filian Yunita Sari","orcid":"https://orcid.org/0009-0006-1014-1124","observed_orcids":["https://orcid.org/0009-0006-1014-1124"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Filian Yunita Sari","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0006-1014-1124","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5143653622","display_name":"Zulkardi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zulkardi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036959018","display_name":"Ratu Ilma Indra Putri","orcid":"https://orcid.org/0000-0003-1802-7757","observed_orcids":["https://orcid.org/0000-0003-1802-7757","https://orcid.org/0000-0002-9006-4459"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ratu Ilma Indra Putri","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1802-7757","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5055855584","display_name":"Ely Susanti","orcid":"https://orcid.org/0000-0001-7871-5442","observed_orcids":["https://orcid.org/0000-0001-7871-5442"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ely Susanti","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7871-5442","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":250,"currency":"USD","value_usd":250},"apc_paid":{"value":250,"currency":"USD","value_usd":250},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":"299","last_page":"318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.9945999979972839,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.9945999979972839,"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.00430000014603138,"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":9.999999747378752e-05,"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/proportional-reasoning","display_name":"proportional reasoning","score":1.0},{"id":"https://openalex.org/keywords/ratio-and-proportion","display_name":"ratio and proportion","score":0.9990000128746033},{"id":"https://openalex.org/keywords/local-instructional-theory","display_name":"local instructional theory","score":0.9490000009536743},{"id":"https://openalex.org/keywords/additive-reasoning","display_name":"additive reasoning","score":0.6399999856948853},{"id":"https://openalex.org/keywords/multiplicative-reasoning","display_name":"multiplicative reasoning","score":0.9990000128746033},{"id":"https://openalex.org/keywords/unit-rate","display_name":"unit rate","score":0.6899999976158142},{"id":"https://openalex.org/keywords/junior-high-school-students","display_name":"junior high school students","score":0.734000027179718},{"id":"https://openalex.org/keywords/scale","display_name":"scale","score":0.3199999928474426}],"concepts":[{"id":"https://openalex.org/C2777034806","wikidata":"https://www.wikidata.org/wiki/Q7250356","display_name":"Proportional reasoning","level":2,"score":0.9524000287055969},{"id":"https://openalex.org/C100521375","wikidata":"https://www.wikidata.org/wiki/Q2015382","display_name":"Competence (human resources)","level":2,"score":0.6996999979019165},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6933000087738037},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6517999768257141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39570000767707825},{"id":"https://openalex.org/C159456220","wikidata":"https://www.wikidata.org/wiki/Q667334","display_name":"Instructional design","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.34360000491142273},{"id":"https://openalex.org/C76188268","wikidata":"https://www.wikidata.org/wiki/Q1783165","display_name":"Context effect","level":3,"score":0.3393000066280365},{"id":"https://openalex.org/C43971567","wikidata":"https://www.wikidata.org/wiki/Q3142865","display_name":"Logical reasoning","level":2,"score":0.33379998803138733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3330000042915344},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.3330000042915344},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3199000060558319},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.31839999556541443},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C83725634","wikidata":"https://www.wikidata.org/wiki/Q7268699","display_name":"Qualitative reasoning","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.30169999599456787},{"id":"https://openalex.org/C20162079","wikidata":"https://www.wikidata.org/wiki/Q1151406","display_name":"Case-based reasoning","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C88610354","wikidata":"https://www.wikidata.org/wiki/Q1813494","display_name":"Teaching method","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C110131835","wikidata":"https://www.wikidata.org/wiki/Q1153659","display_name":"Self-efficacy","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C118518473","wikidata":"https://www.wikidata.org/wiki/Q11451","display_name":"Agriculture","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C166088908","wikidata":"https://www.wikidata.org/wiki/Q308495","display_name":"Abductive reasoning","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.2745000123977661},{"id":"https://openalex.org/C97364631","wikidata":"https://www.wikidata.org/wiki/Q484284","display_name":"Deductive reasoning","level":2,"score":0.27230000495910645},{"id":"https://openalex.org/C105776082","wikidata":"https://www.wikidata.org/wiki/Q617473","display_name":"Likert scale","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C156325361","wikidata":"https://www.wikidata.org/wiki/Q1152864","display_name":"Grounded theory","level":3,"score":0.2662000060081482},{"id":"https://openalex.org/C190248442","wikidata":"https://www.wikidata.org/wiki/Q839486","display_name":"Qualitative research","level":2,"score":0.26170000433921814},{"id":"https://openalex.org/C48164120","wikidata":"https://www.wikidata.org/wiki/Q4491893","display_name":"Concept learning","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C507981020","wikidata":"https://www.wikidata.org/wiki/Q3345348","display_name":"Agricultural education","level":3,"score":0.25999999046325684},{"id":"https://openalex.org/C157140304","wikidata":"https://www.wikidata.org/wiki/Q396108","display_name":"Agrarian society","level":3,"score":0.2551000118255615}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.22342/jme.v17i1.pp299-318","doi":"https://doi.org/10.22342/jme.v17i1.pp299-318","is_oa":true,"landing_page_url":"https://doi.org/10.22342/jme.v17i1.pp299-318","pdf_url":null,"source":{"id":"https://openalex.org/S2764632379","display_name":"Journal on Mathematics Education","issn_l":"2087-8885","issn":["2087-8885","2407-0610"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315074","host_organization_name":"Sriwijaya University","host_organization_lineage":["https://openalex.org/P4310315074"],"host_organization_lineage_names":["Sriwijaya University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Mathematics Education","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.22342/jme.v17i1.pp299-318","doi":"https://doi.org/10.22342/jme.v17i1.pp299-318","is_oa":true,"landing_page_url":"https://doi.org/10.22342/jme.v17i1.pp299-318","pdf_url":null,"source":{"id":"https://openalex.org/S2764632379","display_name":"Journal on Mathematics Education","issn_l":"2087-8885","issn":["2087-8885","2407-0610"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315074","host_organization_name":"Sriwijaya University","host_organization_lineage":["https://openalex.org/P4310315074"],"host_organization_lineage_names":["Sriwijaya University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Mathematics Education","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Quality education","id":"https://metadata.un.org/sdg/4","score":0.975600004196167},{"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2","score":0.40450000762939453}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W6999689889","https://openalex.org/W4414050949","https://openalex.org/W7223445812","https://openalex.org/W1472730437","https://openalex.org/W4411131252","https://openalex.org/W7128294236","https://openalex.org/W7110478130","https://openalex.org/W7120856266","https://openalex.org/W4250067470","https://openalex.org/W2901742999"],"abstract_inverted_index":{"Proportional":[0],"reasoning":[1,23,27,50,229],"constitutes":[2],"a":[3,37,59,92,100,109,204,233],"foundational":[4],"competence":[5],"in":[6,88,113,162,173],"learning":[7,201],"ratio":[8,55,194],"and":[9,56,80,99,126,128,150,170,186,196,230],"proportion.":[10,57,171],"However,":[11],"numerous":[12],"junior":[13,110],"high":[14,111],"school":[15,112],"students":[16,98,107,161,179],"continue":[17],"to":[18,35,46,180,209,222,231],"exhibit":[19],"reliance":[20],"on":[21],"additive":[22,208],"rather":[24],"than":[25],"multiplicative":[26,210],"when":[28],"addressing":[29],"proportional":[30,49,188,228],"problems.":[31],"This":[32],"study":[33,66,213],"aims":[34],"develop":[36],"Local":[38],"Instructional":[39],"Theory":[40],"(LIT)":[41],"that":[42,137,159],"integrates":[43],"agricultural":[44,138],"activities":[45,177],"foster":[47],"students\u2019":[48],"within":[51],"the":[52,64,68,76,215,224],"domain":[53],"of":[54,63,166,218,227],"Employing":[58],"design":[60,78,84],"research":[61],"methodology":[62],"validation":[65],"type,":[67],"investigation":[69],"comprised":[70],"three":[71],"interconnected":[72],"phases:":[73],"preparation":[74],"for":[75,236],"experiment,":[77,79],"retrospective":[81,132],"analysis.":[82,133],"The":[83,134,212],"experiment":[85,94,103],"was":[86],"conducted":[87],"two":[89],"iterative":[90],"cycles:":[91],"pilot":[93],"involving":[95,104],"eight":[96],"seventh-grade":[97,106],"subsequent":[101],"teaching":[102],"31":[105],"from":[108,207],"Belitang,":[114],"Indonesia.":[115],"Data":[116],"were":[117],"collected":[118],"through":[119,190],"student":[120],"activity":[121],"sheets,":[122],"classroom":[123],"observations,":[124],"interviews,":[125],"assessments,":[127],"analyzed":[129],"qualitatively":[130],"using":[131],"findings":[135],"reveal":[136],"practices\u2014such":[139],"as":[140,155,193],"rice":[141,144,151],"fertilization,":[142],"plowing,":[143],"field":[145],"exploration":[146],"via":[147],"Google":[148],"Earth,":[149],"planting":[152],"row":[153],"marking\u2014serve":[154],"meaningful":[156],"contextual":[157],"anchors":[158],"support":[160],"constructing":[163],"conceptual":[164],"understandings":[165],"ratio,":[167],"rate,":[168],"scale,":[169],"Engagement":[172],"these":[174],"contextually":[175],"grounded":[176],"enabled":[178],"compare":[181],"quantities,":[182],"identify":[183],"unit":[184],"rates,":[185],"represent":[187],"relationships":[189],"models":[191],"such":[192],"tables":[195],"double":[197],"number":[198],"lines.":[199],"These":[200],"trajectories":[202],"facilitated":[203],"gradual":[205],"shift":[206],"reasoning.":[211],"underscores":[214],"pedagogical":[216],"potential":[217],"authentic":[219],"agrarian":[220],"contexts":[221],"promote":[223],"progressive":[225],"development":[226],"provide":[232],"transferable":[234],"framework":[235],"context-based":[237],"mathematics":[238],"instruction.":[239]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-03-24T00:00:00"}
