tag:blogger.com,1999:blog-4746027850336066537.post2039372777377710242..comments2024-03-11T02:43:39.710-04:00Comments on The Elementary Math Maniac: Children's Mathematics Book Study: Part 1The Math Maniachttp://www.blogger.com/profile/06177173988483052908noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-4746027850336066537.post-15132975762162230752014-12-13T23:13:20.764-05:002014-12-13T23:13:20.764-05:00I loved the first book- it really changed my teach...I loved the first book- it really changed my teaching. The second edition just came in the mail this week. I need to get reading. Once I saw you were going to be talking about it, I finally ordered it. Can't wait to read it.<br /><br />Brandi<br /><a href="http://www.theresearchbasedclassroom.com" rel="nofollow">The Research Based Classroom</a>Anonymoushttps://www.blogger.com/profile/15288116442170007656noreply@blogger.comtag:blogger.com,1999:blog-4746027850336066537.post-91190095088749192002014-12-08T05:53:43.938-05:002014-12-08T05:53:43.938-05:00I feel the same! I am sure I didn't use all t...I feel the same! I am sure I didn't use all the problem types or even know about them. If I saw problems that were worded differently than I was used to, I was convinced they were problems meant to trick kids. If I only knew then what I know now....The Math Maniachttps://www.blogger.com/profile/06177173988483052908noreply@blogger.comtag:blogger.com,1999:blog-4746027850336066537.post-8762835104021614522014-12-08T05:52:31.986-05:002014-12-08T05:52:31.986-05:00Hi Lori,
I love the quotes your picked out! I ...Hi Lori,<br /> I love the quotes your picked out! I now have had the opportunity to see students who have built their knowledge by taking the path through direct modeling and counting and have ended up at derived facts. What a difference from the kids who learn through rote memorization! Kids who construct their knowledge have much more flexibility and fluency and are able to connect new learning to what they already know!The Math Maniachttps://www.blogger.com/profile/06177173988483052908noreply@blogger.comtag:blogger.com,1999:blog-4746027850336066537.post-80937044513891605512014-12-07T23:03:11.411-05:002014-12-07T23:03:11.411-05:00I've Made an effort in the last four years to ...I've Made an effort in the last four years to use different problem types because I sure didn't before that. Sounds like a great book! I'm looking forward to more posts.Tammyhttps://www.blogger.com/profile/18053983168084838303noreply@blogger.comtag:blogger.com,1999:blog-4746027850336066537.post-40076868030885596572014-12-07T20:50:29.945-05:002014-12-07T20:50:29.945-05:00I'm excited to read the second edition of Chil...I'm excited to read the second edition of Children's Mathematics, too! Here are a few key points/quotes that jumped out at me for this week's reading:<br /><br />Introduction:<br />“The better I get at listening to children, the clearer I hear them tell me how to teach them.”<br /><br />Good teaching isn’t just about giving children problems or knowing the standards; good teaching starts with knowing what the children understand and then purposefully crafting problems to deepen and extend that knowledge. <br /><br />Chapter 1:<br />The structure of the problem influences the strategy that children use to solve it. Children do not have to be taught that a particular strategy goes with a particular type of problem. With opportunity and encouragement, children construct for themselves the strategies that model the action or relationships in a problem. <br /><br />Chapter 2:<br />A classification scheme for addition & subtraction problems provides a structure for interpreting how children solve different problems and for selecting problems for instruction.<br /><br />The differences among the eleven problem types is important because they are related to how children solve the problems, which in turn affects the difficulty level of different problems. <br /><br />Chapter 3:<br />Research has identified a remarkably coherent picture of strategies that children invent to solve addition & subtraction problems and how they evolve over time. <br /><br />Students who know facts from memory after going through Direct Modeling strategies, then Counting strategies, then Derived Fact strategies have a stronger understanding of addition and subtraction than children who learn facts through rote memorization.<br /><br />Thanks for organizing this book study. Looking forward to hearing what others have to say!<br /> <br />Anonymoushttps://www.blogger.com/profile/14631771026959835102noreply@blogger.com