1.) Just having students predict answers to math problems is a way of creating more meaningful learning, prediction can be a useful strategy in successful teaching. I was reading a publication about predicting mathematical creativity in students. The study examined a number of cognitive factors that may predict creative ability in mathematics.
2.) Data analysis revealed that mathematical ability is the most fundamental of the components under investigation for predicting mathematical creativity. Since creativity depends on the amount of ideas that are available for recombination (Sheffield, 2009), if an individual has a limited domain knowledge then he/she will have fewer resources to draw from and to form new ideas. In contrast, general psychological factors as working memory, intelligence, speed and control of processing are not valid predictors of mathematical creativity.
3.) Discovering Math: Prediction and Probability — From likelihood to frequency to prediction, introduce
young students to the basic concepts of probability.
You can follow this link here: http://school.discoveryeducation.com/teachersguides/pdf/math/ds/DM_prediction_probability.pdf
It will take you to the lesson of discovering math using prediction and probability. It is a great resource for anyone who is going to teach probability.