Infinity and Me<\/em><\/a>, written by Kate Hosford and illustrated by Gabi Swiatkowska, a young girl, Uma, looks up into the night sky and starts to feel \u201cvery, very small.\u201d She begins to wonder about the nature of infinity. <\/p>\n\n\n\nUma then asks various people how they imagine infinity. She receives a wide range of responses, such as \u201ca giant number that keeps growing bigger and bigger forever\u201d and a family, which could \u201cgo on forever.\u201d She notices that it\u2019s hard to talk about infinity without mentioning \u201cforever,\u201d and considers whether there is anything she would like to do forever. <\/p>\n\n\n\n
Uma considers having recess forever, but then questions whether, if there\u2019s no school before or after recess, it would still be recess. In the end, she stares at the night sky while snuggled next to her grandmother, and she observes that the sky doesn\u2019t seem as \u201chuge and cold\u201d anymore.<\/p>\n\n\n\n
I read this book to a group of fourth-grade students after one of the students had suggested that we have a conversation about infinity, saying that she often wonders about it. The students had the following questions about infinity:<\/p>\n\n\n\n
If infinity can be a family, how would it be infinite?<\/p>\n\n\n\n
Why does infinity go on? Why is it called infinity? What is infinity? <\/p>\n\n\n\n
Do we live in infinity? <\/p>\n\n\n\n
If infinity never ends, how did it begin? <\/p>\n\n\n\n
Can infinity be different sizes? Can infinity overlap? Infinity goes on forever\u2014can it be destroyed? <\/p>\n\n\n\n
Is your mind able to imagine infinity? <\/p>\n\n\n\n
How was infinity made? Why was infinity made? <\/p>\n\n\n\n
Does anything go on for infinity? Is infinity just when all the numbers run out? <\/p>\n\n\n\n
Can the word \u2018infinity\u2019 hold what infinity is? <\/p>\n\n\n\n
The students were especially curious about the idea suggested in the book that infinity could be imagined as a family.<\/p>\n\n\n\n\u201cIs family really infinite?\u201d one student asked. \u201cWhat if you have no siblings and then you have no children? Wouldn\u2019t that be the end of your family?\u201d<\/p>\n\n\n\n
\u201cBut you would still have family in the world, even if you didn\u2019t know about them,\u201d another student responded. \u201cThere would be cousins and second cousins and so on. I don\u2019t think families ever end.\u201d<\/p>\n\n\n\n
\u201cWe once had a 100-year-old neighbor, and he said he was the last of his family. He had no children and no brothers or sisters or nieces or nephews. He said that when he died, his family would come to an end.\u201d<\/p>\n\n\n\n
\u201cI guess it matters what you mean by family,\u201d said another student. \u201cIf you think about it, we all started with the same bacteria, before the first human being. So we are all family, in a way.\u201d<\/p>\n\n\n\n
\u201cBut then would talking about your family really mean anything?\u201d<\/p>\n\n\n\n
\u201cAlso would that mean that when we say the word \u2018family,\u2019 we might not even be talking about the same thing? Because when we talk about family, we don\u2019t usually mean everyone in the world.\u201d<\/p>\n\n\n\n
\u201cThere are lots of definitions of family,\u201d pointed out a student.<\/p>\n\n\n\n
\u201cAre the possible definitions of family themselves infinite?\u201d I asked.<\/p>\n\n\n\n
\u201cMaybe that\u2019s true of almost every word we use,\u201d a student replied.<\/p>\n\n\n\n
This led us into an exchange about whether we can ever really imagine infinity. One student said that she didn\u2019t think so, the concept was \u201ctoo big for humans to be able to understand.\u201d Another student commented, \u201cI feel like infinity is un-sayable and also un-countable, so I feel like the word infinity is just there to help you wrap your mind around it.\u201d<\/p>\n\n\n\n
Other students thought that we could imagine it, if we think about it as something that just goes on and on, and never stops. Like the infinity symbol, one student noted.<\/p>\n\n\n\n
The students questioned whether something can be infinite if it had a beginning but has no end. Does it have to be endless in both directions? A family, for instance, might go on forever, but it might have had a beginning. Some students noted that eventually the earth will no longer exist, and so human beings (and families) won\u2019t actually go on forever. <\/p>\n\n\n\n
How big is infinity? Are there are different sizes of infinity? We talked about whether the infinite set of real numbers, for example, is larger than the infinite set of whole numbers. Some students said they could see why one infinity would be larger than another, and others insisted that if an infinite set goes on forever, it makes no sense to talk about one infinite set being larger than another one. <\/p>\n\n\n\n
\u201cForever means forever! If two things go on forever, how can one be bigger than the other?\u201d<\/p>\n\n\n\n
I think this is one of those conversations that could have gone on forever, but it was time for recess.<\/p>\n","protected":false},"excerpt":{"rendered":"
By Jana Mohr Lone In the beautiful picture book Infinity and Me, written by Kate Hosford and illustrated by Gabi Swiatkowska, a young girl, Uma, looks up into the night sky and starts to feel \u201cvery, very small.\u201d She begins to wonder about the nature of infinity. Uma then asks various people how they imagine … Thinking about Infinity with Elementary School Students<\/span><\/a><\/p>\n","protected":false},"author":6,"featured_media":21603,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[195],"tags":[121,676,96,119,93,208,70,68,130,675],"class_list":["post-21602","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-wondering-aloud","tag-community-of-inquiry","tag-elementary-school","tag-high-school","tag-p4c","tag-philosophy","tag-philosophy-for-children-50","tag-plato","tag-pre-college-philosophy","tag-public-philosophy","tag-pwc"],"yoast_head":"\nThinking about Infinity with Elementary School Students - PLATO - Philosophy Learning and Teaching Organization<\/title>\n<meta name=\"description\" content=\"Thinking about Infinity with Elementary School Students - a post from PLATO - The Philosophy Learning and Teaching Organization.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/plato-philosophy.org\/thinking-about-infinity-with-elementary-school-students\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Thinking about Infinity with Elementary School Students - 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