I really enjoyed Wednesday's activity about the coke and super stairs.
I found both activities to be very engaging because of the way the problems
were presented; they were realistic and relatable. Many, if not most, people
have experienced the dilemma of choosing between two different-sized glasses
and we all have run up and down stairs.
I appreciate that rich tasks allow all learners to participate and
start the question regardless of the level of mathematical knowledge they have.
Rich tasks automatically allow for differentiated instruction because of
multiple entry points; students can generate possible solutions with their
current critical thinking and problem-solving skills. With this approach to teaching
math, students would definitely become more willing to think mathematically.
They would naturally get curious to know the answer and even if they are not
able to get to the solution right away on their own, they will ask their peers
and work on the problem together. The skills and growth mindset embedded in
these rich tasks are essentially what children need to learn in school.
So, I decided to have a look at some of his videos on his blog. I found
the money duck activity that Ve was talking about in class (for those who are
interested: http://www.101qs.com/2985-money-duck). This video can start a big class discussion on probability and how the same principle is used to lure people
into casinos and lottery tickets; setting a very low probability to win big
money but constantly providing small incentives to keep people in. Making these
rich task videos might be time-consuming but they are totally worth the time
and effort for the education of our children.
http://blog.mrmeyer.com/category/fake-world-math/
In the above link, Dan Meyer talks about the importance of looking at
the real world AND real work when making questions. Quite often, teachers -
myself included - wonder, 'This is relevant to students' real-life because the
question is about cell phones, yet they are still not interested in solving the
problem...' Meyer points out that even though the context might be a real-life
example, the work that is involved in could be too abstract or computation-heavy,
which then quickly leads to students losing interest. This is related to the
discussion we had in class about rich tasks having a high applicable context
with an advanced mathematical knowledge. I have learned that in order for rich
tasks to contain real world and real work, phrasing and carefully crafting the
question is the most important task. After all, it is the teacher's job to
pique students' interest so that they are excited about learning and enjoy
coming to school. As Albert Einstein said, "The formulation of the problem
is often more essential than its solution, which may be merely a matter of
mathematical or experimental skill."
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