How do you “get into” the brains of those students who are thinking at a higher level? Once you know, how do you then transfer these thinking patterns to other students so that they can also think the same way?
When developing the initial Spirit of Math program, Charles wished to expose the students to as many different problems as possible. He then proceeded to provide answers according to his background and his adult understanding. This is when he realized that the students did not think like he did and did not have the knowledge base to access so that they could use his solutions. Having recognized that this was a rare opportunity to look at how very bright and successful students think, Charles closely watched and listened to those students who were solving questions with ease. He documented their methods, and with Fraser Simpson developed the Problem of the Day book. The solutions to any of the problem-solving assignments have since been developed by watching, listening and questioning bright students, using approaches that encourage their thinking processes. The material in the primary grades has also been developed in the same manner, so that younger students will know how reason mathematically when they get older.
When trying to develop new material, better thinking processes and a strong skill set, we have found that listening to kids as they talk and explain their thoughts in a peer-to-peer group setting is the best way to come up with effective material. Students will often think of looking at a problem in a very unique way. Often their explanations will be more efficient than our “adult” methods. Rather than interpreting problems through our mature eyes, we often will find the “jewels” when looking at the problems through the students’ eyes.
As parents and teachers, we often think that we have the best way to solve a problem. However, students often relate best to others their own age because their understanding is at the same level. A very effective way to change the way students will approach problems, therefore, is to listen to the brighter students, and to teach others to solve problems in the same way. All students can learn how to think differently; how to think like the brightest.
When developing our program it was essential that we paid attention to the brightest students, rather than thinking that we knew all the answers. As a parent, make sure that you take time to listen to your child. Listen to their talk. Listen to their explanations. Look at the pictures they are drawing to explain themselves. Work with these and try to understand them rather than insisting that they first listen to you.