{"id":"https://openalex.org/W4255230709","doi":"https://doi.org/10.1137/siread000049000001000109000001","title":"Education","display_name":"Education","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W4255230709","doi":"https://doi.org/10.1137/siread000049000001000109000001"},"language":"en","primary_location":{"id":"doi:10.1137/siread000049000001000109000001","is_oa":false,"landing_page_url":"https://doi.org/10.1137/siread000049000001000109000001","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","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/A5025367520","display_name":"Andrew J. Bernoff","orcid":"https://orcid.org/0000-0001-9443-6320"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andrew J. Bernoff","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025367520"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.43301024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"1","first_page":"109","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.04899999871850014,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13650","display_name":"Computational Physics and Python Applications","score":0.04899999871850014,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12250","display_name":"Experimental and Theoretical Physics Studies","score":0.044199999421834946,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/throwing","display_name":"Throwing","score":0.6795384883880615},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.5682597160339355},{"id":"https://openalex.org/keywords/domino","display_name":"Domino","score":0.5436692237854004},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4918811321258545},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.4469199478626251},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.41334396600723267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4115554094314575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38063865900039673},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.286032497882843},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28238630294799805},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.10765644907951355}],"concepts":[{"id":"https://openalex.org/C207451115","wikidata":"https://www.wikidata.org/wiki/Q12898216","display_name":"Throwing","level":2,"score":0.6795384883880615},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5682597160339355},{"id":"https://openalex.org/C2776416436","wikidata":"https://www.wikidata.org/wiki/Q3751781","display_name":"Domino","level":3,"score":0.5436692237854004},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4918811321258545},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.4469199478626251},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.41334396600723267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4115554094314575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38063865900039673},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.286032497882843},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28238630294799805},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.10765644907951355},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C161790260","wikidata":"https://www.wikidata.org/wiki/Q82264","display_name":"Catalysis","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/siread000049000001000109000001","is_oa":false,"landing_page_url":"https://doi.org/10.1137/siread000049000001000109000001","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2757445715","https://openalex.org/W4239855920","https://openalex.org/W2371249440","https://openalex.org/W2365576545","https://openalex.org/W3165347946","https://openalex.org/W4226007727","https://openalex.org/W2059660105","https://openalex.org/W2327671128","https://openalex.org/W3029718387","https://openalex.org/W2386414876"],"abstract_inverted_index":{"Many":[0],"applied":[1],"mathematicians":[2],"are":[3,91],"obsessed":[4],"with":[5,120,275,316],"explaining":[6],"the":[7,10,78,83,87,92,127,135,158,172,222,231,276,283,290,294,299],"behavior":[8],"of":[9,31,50,58,115,138,160,177,217,265,282,314],"world":[11],"around":[12],"us;":[13],"we":[14,42],"find":[15],"an":[16],"ability":[17],"to":[18,61,69,149,189,198,228,249,260,288],"build":[19,261],"a":[20,112,131,146,151,161,186,195,199,212,237,262,272,280],"model":[21,264,291,300],"that":[22,185],"replicates":[23],"and":[24,96,107,142,180,206,235,251,256,285,296],"quantifies":[25],"our":[26,226],"observations":[27],"indispensable.":[28],"For":[29],"many":[30,64,223],"us":[32],"this":[33,51,116,191,305],"fascination":[34],"started":[35],"long":[36,56],"ago":[37],"as":[38],"child\u2019s":[39],"play":[40],"when":[41],"were":[43],"throwing":[44],"Frisbees,":[45],"blowing":[46],"bubbles,":[47],"and\u2014the":[48],"topic":[49],"issue\u2019s":[52],"Education":[53],"section":[54],"paper\u2014toppling":[55],"strings":[57],"dominoes.":[59],"Returning":[60],"these":[62,218],"problems":[63],"years":[65],"later":[66],"we\u2019ve":[67],"learned":[68],"ask":[70,257],"some":[71,121,243],"more":[72],"sophisticated":[73],"questions:":[74],"How":[75,81],"fast":[76],"do":[77],"dominoes":[79,244],"fall?":[80],"does":[82],"speed":[84,159],"depend":[85],"upon":[86],"domino":[88,162],"spacing?":[89],"What":[90],"relevant":[93],"physical":[94,123],"effects":[95],"nondimensional":[97],"parameters?":[98],"Our":[99],"paper":[100,284],"\u201cDomino":[101],"Waves\u201d":[102],"by":[103,171],"C.":[104],"J.":[105],"Efthimiou":[106],"M.":[108],"D.":[109],"Johnson":[110],"presents":[111],"self\u2010contained":[113],"analysis":[114],"problem.":[117],"It":[118],"starts":[119],"basic":[122],"assumptions,":[124],"then":[125],"analyzes":[126],"mechanics":[128,202],"which":[129],"yields":[130],"recursive":[132],"relationship":[133],"between":[134],"angular":[136],"velocities":[137],"successive":[139],"falling":[140],"dominoes,":[141],"finally,":[143],"after":[144],"taking":[145],"small":[147],"detour":[148],"learn":[150],"few":[152],"facts":[153],"about":[154],"elliptic":[155],"integrals,":[156],"determines":[157],"wave.":[163],"The":[164],"resulting":[165],"prediction":[166],"can":[167,308],"easily":[168,208],"be":[169,183,209],"tested":[170],"intrepid":[173],"student.":[174],"A":[175],"semester":[176],"college":[178],"physics":[179],"calculus":[181],"should":[182],"all":[184],"student":[187],"needs":[188],"read":[190],"paper;":[192],"it":[193],"is":[194],"natural":[196],"adjunct":[197],"course":[200],"on":[201,301],"or":[203],"mathematical":[204,263],"modeling":[205],"could":[207],"developed":[210],"into":[211,239,245],"lab":[213],"exercise":[214],"in":[215,253],"either":[216],"courses.":[219],"I":[220],"encourage":[221],"teachers":[224],"among":[225],"readers":[227],"shake":[229],"up":[230],"normal":[232],"classroom":[233],"routine":[234],"take":[236],"foray":[238],"inquiry\u2010based":[240],"learning.":[241],"Bring":[242],"class":[246],"(or":[247],"go":[248],"YouTube.com":[250],"type":[252],"\u201cfalling":[254],"dominoes\u201d)":[255],"your":[258,310],"students":[259],"what":[266],"they":[267,270],"see.":[268],"After":[269],"gain":[271],"certain":[273],"familiarity":[274],"problem,":[277],"give":[278],"them":[279,287],"copy":[281],"invite":[286],"investigate":[289],"presented,":[292],"verify":[293],"conclusions,":[295],"perhaps":[297],"extend":[298],"their":[302],"own.":[303],"In":[304],"way":[306],"you":[307],"start":[309],"own":[311],"chain":[312],"reaction":[313],"inquiry,":[315],"one":[317],"gentle":[318],"push.":[319]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-12T00:00:00"}
