Mistakes: The Struggle Is Real

Mistakes are powerful.  We know this already.  Anyone who has ever failed at something in their life would probably agree with this statement.  Unfortunately, mistakes also have a way of hanging around for awhile.  Depending on the mistake, an individual could feel slightly embarrassed or ashamed, which makes the mistake incredibly hard to forget or overcome.

Furthermore, the impact a mistake has on an individual is directly linked to their mindset and the way they perceive certain events.  A person with a fixed mindset may view a mistake as a roadblock.... a warning sign reading 'PROCEED WITH CAUTION'.  On the flip side, a person with a growth mindset might view that same mistake as a simple detour; an opportunity to learn something new.

Jo's mention of the 'didactic contract'- the feeling that you want to spoon feed math to students who struggle- was also really interesting to read about.  It takes time for a student to work through a challenging problem, and it takes time for them to develop their own understanding of the concept at hand.  However, teachers know that time is precious and in order to 'get through' what needs to be done, sometimes it is easier just to show them how, or do it for them.  

On a different note.... Jo mentioned that challenging, problem- based mathematics helps to create future entrepreneurs and innovators.  This statement made me think about a group of students who I am currently teaching. All very strong mathematicians, and all very interesting in inquiring into industry, innovation, and infrastructure! An interesting personal connection to the session... and I look forward to sharing this information with my students.