10 Big Ideas

CLICK on Math With a Purpose In this powerpoint it highlights the 10 Big Ideas of effective mathematics instruction written by Marilyn Burns.

I came across this great song about why we should be using the Rekenrek in our classrooms! :) Here is the song! Enjoy!

The "Red Book" AKA: Developing Number Knowledge for 7-11 year olds

 

 At the beginning of the book Bob Wright and Pamela Tabor refer to progression of mathematizaiton of arithmetic. They state that there are 8 domains that need to be fostered in order for students to progress in mathematizaiton. Progressive mathematization is a students mathematical sophisticaiton over a period of time. The eight domains include: structuring numbers, extending the range of numbers, decimalizing, unitizing, distancing the setting, notating, formalizing, and generalizing.

After my work with CGI (Cognitively Guided Instruction), SD Counts Mathematics, and Math Recovery Intervention Specialist, Math Recovery Leader training I have found that many of these domains of mathematics are not fostered to the highest extent that they could be.

I asked my niece once what 32-27 was and her first comment was "I can't do mental math." I told here to just try her best. Then she looked at the wall above my head as she crossed out numbers and borrowed. Then she finally got to the answered "5." I asked her to explain how she figured it out and she started writing number with her finder on the table how she crossed out and borrowed numbers. Then I asked her if there is a different way to figure it out. She replied "no" with a questionable brow, looking at me as though I was crazy to think there was another way.

Unfortunately, she has not mastered structuring numbers, decimalizing, or unitizing.

10 Instructional Shifts that Improve Student Learning This link is to a summary of the book Accessible Mathematics: 10 Instructional Shifts that Raise Student Achievement by Steven Leinwand. His number one shift is "Incorporating ongoing review into every day's lesson." I think this is extremely important because brain research shows that when a new dendrite is formed it needs to be stimulated constantly or if it's not used our brain "prunes" it, which is like deleting the information.

Snake 12 Here is a great game for adding to 12 while playing with dominoes. It is from the Origo Education website at:  http://www.origoeducation.com/ There are many more resources on this website.


Another Domino Idea I came across was playing with double-six dominoes and playing Make 10. Students are given 5 dominoes each and the rest are upside down in the middle of the two players. Students can make ten with one or two dominoes.


Here is a link for printable dominoes if you don't have enough for your class.

Dice Games

  I have been thinking about next year and the TON of games I   
  should be making, but then I thought I would check out some of
  the teacher stores in town. I found this great resource! After I  
  went to their webpage I found they let you download some of the games for free and there are other great books like this one. There are about 30 games with the game boards made and ready to use. There is a Addition book, Multiplication book, and a Division book. I am glad I found these, so I won't have to make as many games for my AVMR small group instruction.
http://www.didax.com/shop/productsamples.cfm/StartRow/1/ShowAll/Yes/ItemNo/211222.cfm

OPMD

Have you thought about the processes needed to create the best mathematics discussions? I have found the book that is the answer... 5 Practices for Orchestrating Productive Mathematics Discussions (OPMD) by Margaret S. Smith and Mary Kay Stein.