Wednesday, February 13, 2013
Equation Formats: Multiple Addends
In addition to Story problems, Kal-El has also started working on equations with different "formats." This thread starts with addition equations with more than two single-digit addends and eventually moves through one or more pairs of parenthesis in various positions, equations missing parts (2+?=4, ?+2=4, 3-?=1, 10/?=2, etc.,), and equations in which the parts are presented in a different order (4=2+?). These presentations are available in the various AMS albums I have but are not expressly included in the AMI albums I have. I printed out equation slips for all of the variations and they are in our math drawers. All of the printables for these works were included as part of the Karen Tyler course that I participated in.
This week Kal-El started with equations that have more than two addends. He has of course encountered many addends in the past through from the golden beads through to the dot game. There is something special about seeing these on paper and unlike the "large" four-digit equations he did with the other materials, these have a simpler process of abstraction. We are using the bead bars and a short version of the addition snake game to find the sums. He is recording his work in the same booklet that he is using for Story problems except turned on its side. It only took about ten equations to lead him to abstraction. He is playing the "post memorization" version of the snake game and it didn't take long for him to mentally add parenthesis to these equations.