We want every learner in our care to be able to say
I can make sense of problems and persevere in solving them. (CCSS.MATH.PRACTICE.MP1)
But…What if I think I can’t? What if I’m stuck? What if I feel lost, confused, or discouraged?
How might we offer a pathway for success? What if we provide cues to guide learners and inspire interrogative self-talk?
I can find a second or third solution and describe how the pathways to these solutions relate.
I can make sense of problems and persevere in solving them.
I can ask questions to clarify the problem, and I can keep working when things aren’t going well and try again.
I can show at least one attempt to investigate or solve the task.
In Struggle for Smarts? How Eastern and Western Cultures Tackle Learning, Dr. Jim Stigler, UCLA, talks about a study giving first grade American and Japanese students an impossible math problem to solve. The American students worked on average for less than 30 seconds; the Japanese students had to be stopped from working on the problem after an hour when the session was over.
How may we bridge the difference in our cultures to build persistence to solve problems in our students?
NCTM’s recent publication, Principles to Action, in the Mathematics Teaching Practices, calls us to support productive struggle in learning mathematics. How do we encourage our students to keep struggling when they encounter a challenging task? They are accustomed to giving up when they can’t solve a problem immediately and quickly. How do we change the practice of how our students learn mathematics?
[Cross posted on Experiments in Learning by Doing]