Joanne Posted September 22, 2011 Share Posted September 22, 2011 I teach one math class. We "do" math according to level (tested) rather than grades. We are currently learning from a 5th grade book, and we just reviewed decimals. We are multiplying double digits now. Most of my students "get" the mechanics, the "how to." Most do not understand the why of the mechanics, and especially the "place holder". I grew up never being taught the why. I think teaching them the concept behind the mechanics would help. Suggestions? Quote Link to comment Share on other sites More sharing options...
Catherine Posted September 22, 2011 Share Posted September 22, 2011 Right Start math. For this age group you could go through more than one lesson per day, and it does a great job with the concepts. Start with level B. Quote Link to comment Share on other sites More sharing options...
Heather in Neverland Posted September 22, 2011 Share Posted September 22, 2011 For you: Knowing and Teaching Elementary Mathematics by Liping Ma (I am using this as math PD this year for my entire elementary staff). For the kids: Kitchen Table Math books 1,2,3 from the AOPS company, also anything by Edward Zaccaro, Singapore Math Challenging Word Problems Quote Link to comment Share on other sites More sharing options...
FaithManor Posted September 22, 2011 Share Posted September 22, 2011 I like Singapore for teaching conceptual mathematics. Faith Quote Link to comment Share on other sites More sharing options...
Lang Syne Boardie Posted September 22, 2011 Share Posted September 22, 2011 While you are waiting for these books to arrive, you could visit www.mathmammoth.com and watch Maria Miller's videos. (The 'videos' button is in the upper right corner of the homepage.) Quote Link to comment Share on other sites More sharing options...
FO4UR Posted September 22, 2011 Share Posted September 22, 2011 Miquon Manupulative work, in general, would probably be enough for most 5th graders to see why you need a "place holder." My ds learned x by breaking everything out into expanded form, then multiplying...then adding it all back together. The algorithm is simply a shortcut for all of that, and the concept of the place-holder makes sense when you see the whole process involved. Khan Academy has a good clip on multidigit multiplication. Quote Link to comment Share on other sites More sharing options...
Truscifi Posted September 22, 2011 Share Posted September 22, 2011 I am an elementary math tutor and I use Making Math Real. I was trained in it through a local tutoring company and find it works very well for going through the mechanics and the reasoning/why of each concept. It starts each concept at the concrete level, then works gradually up to abstract. Quote Link to comment Share on other sites More sharing options...
Random Posted September 22, 2011 Share Posted September 22, 2011 Manupulative work, in general, would probably be enough for most 5th graders to see why you need a "place holder." My ds learned x by breaking everything out into expanded form, then multiplying...then adding it all back together. The algorithm is simply a shortcut for all of that, and the concept of the place-holder makes sense when you see the whole process involved. Khan Academy has a good clip on multidigit multiplication. :iagree: We wrote the factors out in expanded form, multiplied, then added back together. Saxon and Singapore both do this. These are the only two programs I have experience with. Quote Link to comment Share on other sites More sharing options...
Lang Syne Boardie Posted September 22, 2011 Share Posted September 22, 2011 While you are waiting for these books to arrive, you could visit www.mathmammoth.com and watch Maria Miller's videos. (The 'videos' button is in the upper right corner of the homepage.) Came back to add the direct link to the Decimal Arithmetic playlist. (youtube) :001_smile: Quote Link to comment Share on other sites More sharing options...
Forget-Me-Not Posted September 22, 2011 Share Posted September 22, 2011 Another vote for Liping Ma's book. I'm sorry to say I've only made it through the first chapter, but it was very enlightening! Quote Link to comment Share on other sites More sharing options...
Crimson Wife Posted September 23, 2011 Share Posted September 23, 2011 While you are waiting for these books to arrive, you could visit www.mathmammoth.com and watch Maria Miller's videos. (The 'videos' button is in the upper right corner of the homepage.) :iagree::iagree::iagree: Quote Link to comment Share on other sites More sharing options...
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