tag:blogger.com,1999:blog-3071719252136968205.post2724240995192570837..comments2024-03-19T01:01:56.845-07:00Comments on Following Learning: Cuisenaire squaresSimon Gregghttp://www.blogger.com/profile/07751362728185120933noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-3071719252136968205.post-59880224493149115432017-07-06T19:27:53.664-07:002017-07-06T19:27:53.664-07:00Wow. Thank you. Definitely think there's enoug...Wow. Thank you. Definitely think there's enough for an inquiry here. I'm developing an inquiry approach - a routine essentially - to give teachers an easy way in to this type of teaching /learning. Love to share withe you some time. I'd like to use this as a lesson idea.Shyamhttps://www.blogger.com/profile/17120950767841619277noreply@blogger.comtag:blogger.com,1999:blog-3071719252136968205.post-59296621537141165442015-04-08T20:22:53.724-07:002015-04-08T20:22:53.724-07:00I've had to put this on hold for a bit, but he...I've had to put this on hold for a bit, but here is a version of a pascal's triangle puzzle: <a href="http://jgplay.pencilcode.net/home/Math/pascalPuzzleSplit" rel="nofollow">Pascal Split</a>JGR314https://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-3071719252136968205.post-30078121766354928392015-04-05T08:11:04.290-07:002015-04-05T08:11:04.290-07:00Joshua, I like your idea of a puzzle from these ar...Joshua, I like your idea of a puzzle from these arrays. I wonder what you will come up with?Simon Gregghttps://www.blogger.com/profile/07751362728185120933noreply@blogger.comtag:blogger.com,1999:blog-3071719252136968205.post-64216300296447636572015-03-20T00:54:17.483-07:002015-03-20T00:54:17.483-07:00As a parent and teacher with limited resources, I ...As a parent and teacher with limited resources, I think starting with the materials first gives a lot of good ideas. Constraints can be helpful for creativity! Also, a single manipulative usually has many incarnations and supports many different concepts.<br /><br />Further, I have a feeling that these results are related to a problem I've just started considering, so forgive the vague phrasing: how can I cut an organized array (square grid or pascal-triangle type arrangement) into pleasing puzzle pieces? This was inspired by a Maths Mastery teacher task where teachers are asked to put together a puzzle that's been cut from a multiplication table. <br /><br />By hand, I made a similar puzzle from Pascal's triangle. I want the pieces to be contiguous areas between 4 and 8 sq units in area. In particular, I don't want isolated single squares. Ideally, I also don't want a proper subset of the pieces to cover exactly a smaller sized version of the whole puzzle.<br /><br />Joshua<br /><a href="http://3jlearneng.blogspot.com" rel="nofollow">3jlearneng.blogspot.com</a>JGR314https://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-3071719252136968205.post-42246181192417925642015-01-17T11:33:35.336-08:002015-01-17T11:33:35.336-08:00Thanks for your comment, SiouxGeonz. Yes, I like t...Thanks for your comment, SiouxGeonz. Yes, I like this idea, in that it deals with divisibility in a way that you don't really have to use the word. It can start with a more practical understanding of what that means.Simon Gregghttps://www.blogger.com/profile/07751362728185120933noreply@blogger.comtag:blogger.com,1999:blog-3071719252136968205.post-5082457843358709262015-01-17T10:00:52.743-08:002015-01-17T10:00:52.743-08:00I love the idea of stealing from "new compute...I love the idea of stealing from "new computer technology" the tendency to start with the materials. I don't love it when "doing cool stuff with the materials" ends up more important than having kiddos learn things, but I really don't think you've done that here; you started with that divisibility concept and everything keeps going back to "what can be learned here?" <br /> Really enjoyed this exploration; many (many!) of my adult students fell off the math train right around divisibility...SiouxGeonzhttps://www.blogger.com/profile/14852040976080951492noreply@blogger.com