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芒羅在1939年秋季進入[[達特茅斯學院]]就讀，他不只在課業上表現優異，在籃球運動上更是表現傑出，是學校籃球隊的隊員之一，曾代表學校出征[[全國大學體育協會]]（NCAA）主辦的二級會員學校男子籃球賽<ref name=NNDB/>。
身高5呎11吋（1.8公尺）的後衛芒羅帶領球隊打進全國冠亞軍決賽，雖然最後以53-38輸給[[史丹佛大學]]，但也在球隊歷史上寫下22勝6敗的佳績，芒羅本人更成為當屆[[常春藤聯盟]]東區校際籃球聯賽的得分王<ref name=YBY>{{Cite web| title = ''Men's Basketball Year-by-Year''| work = dartmouthsports.com| publisher = [[達特茅斯學院|Dartmouth College]]| date = 2010| url = http://www.dartmouthsports.com/ViewArticle.dbml?DB_OEM_ID=11600&ATCLID=610592| accessdate = 2010-09-23| language = en| archive-url = https://web.archive.org/web/20170820120523/http://www.dartmouthsports.com/ViewArticle.dbml?DB_OEM_ID=11600&ATCLID=610592| archive-date = 2017-08-20| dead-url = yes}}</ref><ref name=SCHAMP>{{Cite web| title = ''Men's Basketball All-time Leaders''| work = dartmouthsports.com| publisher = Dartmouth College| date = 2010| url = http://www.dartmouthsports.com/ViewArticle.dbml?DB_OEM_ID=11600&ATCLID=610547| accessdate = 2010-09-23| language = en| archive-url = https://web.archive.org/web/20120307060817/http://dartmouthsports.com/ViewArticle.dbml?DB_OEM_ID=11600&ATCLID=610547| archive-date = 2012-03-07| dead-url = yes}}</ref>。芒羅在有出征的12場比賽中總共拿下175分，平均每場比賽奪得14.6分<ref name=SCHAMP/>。
達特茅斯學院因此次的優異表現而獲得晉級，並在1942年至1943年打進NCAA錦標賽；但在首輪就以46-36分輸給[[帝博大學]]<ref name=NCAA>{{Cite web| title = ''The NCAA Tourney''| work = dartmouthsports.com| publisher = Dartmouth College| date = 2010| url = http://www.dartmouthsports.com/ViewArticle.dbml?DB_OEM_ID=11600&ATCLID=610566| accessdate = 2010-09-23| language = en| archive-date = 2017-08-20| archive-url = https://web.archive.org/web/20170820115301/http://www.dartmouthsports.com/ViewArticle.dbml?DB_OEM_ID=11600&ATCLID=610566| dead-url = no}}</ref>。雖然他們之後以51-49擊敗[[紐約大學]]，總成績也只有20勝3敗，沒有寫下新記錄<ref name=YBY/><ref name=NCAA/>。