{"id":"https://openalex.org/W2914925522","doi":"https://doi.org/10.1002/9781119148104.ch15","title":"Teaching and Learning Mathematics in Early Childhood Programs","display_name":"Teaching and Learning Mathematics in Early Childhood Programs","publication_year":2019,"publication_date":"2019-02-15","ids":{"openalex":"https://openalex.org/W2914925522","doi":"https://doi.org/10.1002/9781119148104.ch15","mag":"2914925522"},"language":"en","primary_location":{"id":"doi:10.1002/9781119148104.ch15","doi":"https://doi.org/10.1002/9781119148104.ch15","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781119148104.ch15","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Wiley Handbook of Early Childhood Care and Education","raw_type":"other"},"volume":{"id":"https://openalex.org/W2995788078","display_name":"The Wiley Handbook of Early Childhood Care and Education"},"type":"other","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024917789","display_name":"Arthur J. Baroody","orcid":"https://orcid.org/0000-0003-4296-8434","observed_orcids":["https://orcid.org/0000-0003-4296-8434"]},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arthur J. Baroody","raw_affiliation_strings":["University of Denver","University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Denver","institution_ids":["https://openalex.org/I131651094"]},{"raw_affiliation_string":"University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074280176","display_name":"Douglas H. Clements","orcid":"https://orcid.org/0000-0003-1800-5099","observed_orcids":["https://orcid.org/0000-0003-1800-5099"]},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas H. Clements","raw_affiliation_strings":["University of Denver"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Denver","institution_ids":["https://openalex.org/I131651094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068322639","display_name":"Julie H. Sarama","orcid":"https://orcid.org/0000-0003-1275-6916","observed_orcids":["https://orcid.org/0000-0003-1275-6916"]},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julie Sarama","raw_affiliation_strings":["University of Denver"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Denver","institution_ids":["https://openalex.org/I131651094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"329","last_page":"353"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9404000043869019,"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":0.9404000043869019,"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/T10589","display_name":"Early Childhood Education and Development","score":0.031599998474121094,"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/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.0215000007301569,"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/early-mathematics-education","display_name":"early childhood mathematics education","score":0.9829999804496765},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"mathematics education","score":0.7459999918937683},{"id":"https://openalex.org/keywords/structured-play","display_name":"structured play","score":0.9200000166893005},{"id":"https://openalex.org/keywords/learning-trajectories","display_name":"learning trajectories","score":0.9950000047683716},{"id":"https://openalex.org/keywords/integrated-teaching","display_name":"integrated teaching","score":0.9129999876022339},{"id":"https://openalex.org/keywords/teacher-education","display_name":"teacher professional development","score":0.7570000290870667},{"id":"https://openalex.org/keywords/attitudes-toward-mathematics","display_name":"attitudes toward mathematics","score":0.7350000143051147},{"id":"https://openalex.org/keywords/productive-disposition","display_name":"productive disposition","score":0.8539999723434448},{"id":"https://openalex.org/keywords/friedrich-froebel","display_name":"Friedrich Froebel","score":0.7170000076293945},{"id":"https://openalex.org/keywords/montessori-education","display_name":"Montessori method","score":0.9539999961853027},{"id":"https://openalex.org/keywords/guided-instruction","display_name":"guided teaching","score":0.4790000021457672}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6959998607635498},{"id":"https://openalex.org/C2777082460","wikidata":"https://www.wikidata.org/wiki/Q3377398","display_name":"Early childhood","level":2,"score":0.6829882860183716},{"id":"https://openalex.org/C178229462","wikidata":"https://www.wikidata.org/wiki/Q1472221","display_name":"Early childhood education","level":2,"score":0.6494025588035583},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.4786423444747925},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.4434926211833954},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.3711838126182556},{"id":"https://openalex.org/C138496976","wikidata":"https://www.wikidata.org/wiki/Q175002","display_name":"Developmental psychology","level":1,"score":0.13382959365844727},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.060986101627349854},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/9781119148104.ch15","doi":"https://doi.org/10.1002/9781119148104.ch15","is_oa":false,"landing_page_url":"https://doi.org/10.1002/9781119148104.ch15","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Wiley Handbook of Early Childhood Care and Education","raw_type":"other"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9235000014305115,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W32255336","https://openalex.org/W131038430","https://openalex.org/W143237017","https://openalex.org/W342685705","https://openalex.org/W565874808","https://openalex.org/W585346549","https://openalex.org/W587330887","https://openalex.org/W1496960021","https://openalex.org/W1538468529","https://openalex.org/W1554672732","https://openalex.org/W1562150682","https://openalex.org/W1575616143","https://openalex.org/W1586985721","https://openalex.org/W1598270659","https://openalex.org/W1738097990","https://openalex.org/W1965299423","https://openalex.org/W1971849986","https://openalex.org/W1976637107","https://openalex.org/W1979565619","https://openalex.org/W1983630370","https://openalex.org/W1993556597","https://openalex.org/W1995034748","https://openalex.org/W2009806335","https://openalex.org/W2013832765","https://openalex.org/W2020489857","https://openalex.org/W2020852245","https://openalex.org/W2022837716","https://openalex.org/W2028421054","https://openalex.org/W2034225714","https://openalex.org/W2038482098","https://openalex.org/W2046501169","https://openalex.org/W2046520050","https://openalex.org/W2054473148","https://openalex.org/W2064470799","https://openalex.org/W2074801235","https://openalex.org/W2081628628","https://openalex.org/W2083487252","https://openalex.org/W2085022598","https://openalex.org/W2101639535","https://openalex.org/W2115386976","https://openalex.org/W2116431328","https://openalex.org/W2126664319","https://openalex.org/W2129663280","https://openalex.org/W2130736456","https://openalex.org/W2137710195","https://openalex.org/W2147793744","https://openalex.org/W2149427584","https://openalex.org/W2150794602","https://openalex.org/W2163721389","https://openalex.org/W2169649451","https://openalex.org/W2171956199","https://openalex.org/W2179083326","https://openalex.org/W2183192391","https://openalex.org/W2201920494","https://openalex.org/W2333928723","https://openalex.org/W2343925769","https://openalex.org/W2479392942","https://openalex.org/W2567777357","https://openalex.org/W2577881291","https://openalex.org/W2801119230","https://openalex.org/W2994249913","https://openalex.org/W3043829840","https://openalex.org/W3166976231","https://openalex.org/W4232050953","https://openalex.org/W4234204204","https://openalex.org/W4235161218","https://openalex.org/W4245953313","https://openalex.org/W4248310584","https://openalex.org/W4250245185","https://openalex.org/W4256450175","https://openalex.org/W6632256068"],"related_works":["https://openalex.org/W4252506379","https://openalex.org/W6949326993","https://openalex.org/W2235662824","https://openalex.org/W3084828623","https://openalex.org/W324043001","https://openalex.org/W631589320","https://openalex.org/W4385955102","https://openalex.org/W7067467515","https://openalex.org/W7204445519","https://openalex.org/W2805437737"],"abstract_inverted_index":{"This":[0],"chapter":[1,111],"provides":[2],"a":[3,55],"rationale":[4],"for":[5,12],"early":[6,75,107,130],"childhood":[7,76,108,131],"mathematics":[8,53,90,132,139],"instruction":[9,15,30,140,151],"and":[10,19,28,57,63,81,93,99,144],"recommendations":[11],"ensuring":[13],"such":[14],"is":[16,135],"effective,":[17],"engaging,":[18],"holistic.":[20],"It":[21,122],"discusses":[22],"how":[23,113],"structured":[24,38,102],"play,":[25],"learning":[26,64],"trajectories,":[27],"integrated":[29],"can":[31,115],"be":[32],"useful":[33],"pedagogical":[34],"tools":[35],"in":[36,129,141],"providing":[37],"mathematical":[39,103],"experiences":[40,104,118],"that":[41,85],"ensure":[42],"educative":[43,117],"experiences.":[44],"High-quality":[45],"professional":[46],"development":[47],"must":[48],"instill":[49],"positive":[50],"attitudes":[51],"toward":[52,60],"as":[54,78],"discipline":[56],"productive":[58],"dispositions":[59],"the":[61,71,95,136,150],"teaching":[62],"of":[65,74,138,152],"mathematics.":[66],"As":[67],"R.":[68],"Balfanz":[69],"observed,":[70],"founding":[72],"figures":[73],"education":[77],"Fredrick":[79],"Froebel":[80],"Maria":[82],"Montessori":[83],"believed":[84],"young":[86,153],"children":[87,154],"enjoyed":[88],"using":[89],"to":[91],"explore":[92],"understand":[94],"world":[96],"around":[97],"them":[98],"incorporated":[100],"rich,":[101],"into":[105],"their":[106],"programs.":[109],"The":[110],"addresses":[112,124],"teachers":[114],"promote":[116],"with":[119],"careful":[120],"guidance.":[121],"also":[123],"two":[125],"key,":[126],"interrelated":[127],"issues":[128],"education:":[133],"What":[134],"place":[137],"today's":[142],"preschool":[143],"kindergarten":[145],"classrooms?":[146],"How":[147],"guided":[148],"should":[149],"be?.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2019-02-21T00:00:00"}