Methods of Math Teaching and Learning

November 4, 2019 Friendly Numbers But Not! The following NT with preservice teachers included the following clusters: 999 +99 998 + 49 199 + 99 + 49 999 + 99 is 1098. Me: How did you get 1098? Explain your thinking? Katherine: I added 1 to 999 to make 1000 and took 1 from 99 to make 98.  1000+ 98 equals to 1098.  All three seemed to have the same idea. 998 + 49 is 1047 Me: How did you get 1047?  Explain your thinking. Chase: I separated  998 to make 990 +8 and 49 to make 40 + 9. Then I added 990 +40 which equals to 1030 and 8+9 equal 17. 1030 +17 equals 1047. Katherine: I just did like I did before but I took 2 from 49 and added it to 998. 998+2 equals 1000. 49-2 equals 47. 1000+47=  1047. 199 +99 + 49 is 347 Katherine: I took 2 from 49 and added it to 199 and 99. 199+1 is 200 and 99+1 is 100. 200 +100 equals to 300+ 47. 347 Erika: 199 +1 is 200             99 +1 is 100             49-2 is 47             200+100 +47 is 347.  Disc

Number Talks October 27, 2019 Friendly Numbers This Number Talks involved expressions with friendly numbers. Friendly numbers are single number used to make a friendly pair. These are numbers that make performing operations easy and flexible. Friendly numbers include multiples of 10's and 100's.  The goal of any NT with preservice teacher to expose them to math strategies that will enhance their teaching and equip them with Mathematics Pedagogical Knowledge. Many school districts in north and central Alabama use NT. Therefore, I want my preservice teachers exposed to various way to solve problems and the ritual of NT.   The following is a cluster of problems: 99 +5 99 + 15 99 + 26 99 + 51 99 + 5 is 104 Me: How did you get 104? Chase: I stack them up 99 on top and 5 on the bottom. Then I just added. Katherine: I added 1 to 99 to make 100 and then I added 4. Me: Where did you get the 1 when you added it to 99? Katherine: I took it from the 5. That is w