tag:blogger.com,1999:blog-7680036813963600695.post1610546174649255637..comments2017-11-05T20:28:05.572-05:00Comments on MontessoriSeeds: Montessori Math not Memorizing MathMatthew Simberghttps://plus.google.com/109360060284729961872noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-7680036813963600695.post-67983530625137852892015-08-14T21:28:54.918-04:002015-08-14T21:28:54.918-04:00Thank you very much for your comment and I will lo...Thank you very much for your comment and I will look into that as well!Matthew Simberghttps://www.blogger.com/profile/09365532910719192661noreply@blogger.comtag:blogger.com,1999:blog-7680036813963600695.post-72448142306695716152015-07-09T09:05:47.866-04:002015-07-09T09:05:47.866-04:00I like your insight on math. Math is very difficu...I like your insight on math. Math is very difficult when you are learning it from abstract principles and memorization. Memorization isn't all that bad bur you must understand how you arrived at the answer first. My children learned math in the Montessori classroom, but did not really understand it until they started using the Singapore Math system. <br /><br />Singapore math teaches students mathematical concepts in a three-step learning process: concrete, pictorial, and abstract. The first of the three steps is concrete, wherein students learn while handling objects such as chips, dice, or paper clips. Students would learn to count these objects by physically lining them up in a row. They would then learn basic arithmetic operations such as addition or subtraction by physically adding or removing the objects from each row.<br /><br />Students then transition to the pictorial step by drawing diagrams called "bar-models" to represent specific quantities of an object. This involves drawing a rectangular bar to represent a specific quantity. For instance, if a short bar represents five objects, a bar that is twice as long would represent ten. By visualizing the difference between the two bars, students could learn to solve problems of addition by adding one bar to the other, which would, in this instance, produce an answer of fifteen paper clips. They can use this method to solve other mathematical problems involving subtraction, multiplication, and division. Bar modeling is far more efficient than the "guess-and-check" approach, in which students simply guess combinations of numbers until they stumble onto the solution.<br /><br />Once students have learned to solve mathematical problems using bar modeling, they begin to solve mathematical problems with exclusively abstract tools: numbers and symbols. The system has been used successfully in Asia for many years and is now making its way to the US. <br /><br />This method can easily be adapted to the Montessori way of learning. At the very least it can be a great supplement to what they learn in the Montessori classroom. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-7680036813963600695.post-55728637315113611452015-06-09T22:47:31.381-04:002015-06-09T22:47:31.381-04:00I totally identify Matthew (my son's name by t...I totally identify Matthew (my son's name by the way)...my experience with math was similar to yours - I was able to make good grades in my GT class until high school - when memorization and application collided! Thankfully, I also formed a new relationship with numbers and mathematics in my Montessori teacher training which grew during my internship as I handled the materials daily. What a blessing to experience. I wish all students had the opportunity to tap into their math heads through the Montessori Method before becoming completely turned off by the whole thing! - Norma<br /> Norma Morrishttp://discoveryschoolfbcheathtx.orgnoreply@blogger.comtag:blogger.com,1999:blog-7680036813963600695.post-3900391675829769212015-06-07T22:50:52.651-04:002015-06-07T22:50:52.651-04:00Thank you for your comment!Thank you for your comment!Matthew Simberghttps://www.blogger.com/profile/07477228092701929706noreply@blogger.comtag:blogger.com,1999:blog-7680036813963600695.post-18186684923783989862015-06-06T02:44:54.822-04:002015-06-06T02:44:54.822-04:00Informative site. Math is not a simple thingInformative site. Math is not a simple thingThesis writing servicehttp://www.writeversity.comnoreply@blogger.com