At a first glance, counting seems like a skill relegated to elementary school, and yet it forms an entire active area of research-level mathematics.\u00a0 Rather than counting by listing \u201cone, two, three,\u2026\u201d research in counting answers questions of \u201chow many?\u201d by making clever use of structure.\u00a0 What do I count?\u00a0 And why and how?\u00a0 I will share some of my favorite counting problems and the surprising connections they have with other subjects.
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At a first glance, counting seems like a skill relegated to elementary school, and yet it forms an entire active area of research-level mathematics.\u00a0 Rather than counting by listing \u201cone, two, three,\u2026\u201d research in counting answers questions of \u201chow many?\u201d by making clever use of structure.\u00a0 What do I count?\u00a0 And why and how?\u00a0 I…<\/p>\n","protected":false},"author":5,"featured_media":6076,"template":"","academic_year":[173],"class_list":["post-17947","professorial_lecture","type-professorial_lecture","status-publish","has-post-thumbnail","hentry","academic_year-2021-2022"],"uagb_featured_image_src":{"full":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false],"thumbnail":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false],"medium":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false],"medium_large":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false],"large":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false],"1536x1536":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false],"2048x2048":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false],"Profile":["https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png",78,100,false]},"uagb_author_info":{"display_name":"heather.bricker@valpo.edu","author_link":"https:\/\/intra.valpo.edu\/cital\/author\/heather-brickervalpo-edu\/"},"uagb_comment_info":0,"uagb_excerpt":"At a first glance, counting seems like a skill relegated to elementary school, and yet it forms an entire active area of research-level mathematics.\u00a0 Rather than counting by listing \u201cone, two, three,\u2026\u201d research in counting answers questions of \u201chow many?\u201d by making clever use of structure.\u00a0 What do I count?\u00a0 And why and how?\u00a0 I…","featured_img":"https:\/\/intra.valpo.edu\/cital\/wp-content\/uploads\/sites\/13\/2024\/11\/Picture4-1.png","coauthors":[],"author_meta":{"author_link":"https:\/\/intra.valpo.edu\/cital\/author\/heather-brickervalpo-edu\/","display_name":"heather.bricker@valpo.edu"},"relative_dates":{"created":"Posted 5 years ago","modified":"Updated 1 year ago"},"absolute_dates":{"created":"Posted on January 10, 2021","modified":"Updated on February 20, 2025"},"absolute_dates_time":{"created":"Posted on January 10, 2021 2:26 pm","modified":"Updated on February 20, 2025 2:26 pm"},"featured_img_caption":"","tax_additional":{"academic_year":{"linked":["2021-2022<\/a>"],"unlinked":["2021-2022<\/span>"],"slug":"academic_year","name":"Academic Years"}},"series_order":"","_links":{"self":[{"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/professorial_lecture\/17947","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/professorial_lecture"}],"about":[{"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/types\/professorial_lecture"}],"version-history":[{"count":1,"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/professorial_lecture\/17947\/revisions"}],"predecessor-version":[{"id":17950,"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/professorial_lecture\/17947\/revisions\/17950"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/media\/6076"}],"wp:attachment":[{"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/media?parent=17947"}],"wp:term":[{"taxonomy":"academic_year","embeddable":true,"href":"https:\/\/intra.valpo.edu\/cital\/wp-json\/wp\/v2\/academic_year?post=17947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}