What’s 2+2?
Of course, it’s 4.
All of us know that! It’s the simplest math equation other
than to 1+1. But what if I asked you why
2+2=4? This question taps into the qualitative skill set.
This is the very question we are asking in 4th grade.
Now, we are not reading ancient mathematical texts or using Descartes
as our read-aloud. We are working toward becoming qualitative, creative mathematical thinkers. The fourth graders create and solve problems for themselves
by exploring different methods in a participative environment. The students
take on examples of new concepts and attempt to explain how the problem was
solved. They then apply what they’ve just learned to a new problem.
All this is done to ensure that students are able to think
beyond the rudimentary problem solving to creative problem solving.
Our long division unit was an example of this. Students
spent time discovering and choosing their favorite multiplication strategy.
After spending time with it, they were then challenged to go home and use their
knowledge to solve division problems. This activity pushed students to use what
they know to solve what they did not know.
But this approach can go beyond the classroom. If you are
helping your child out with their homework, you can ask them to explain the
problem to you. Push them to think through the parts that they may struggle
with articulating. When you are driving to school or sitting at the dinner
table or driving to soccer practice, ask them to explain long division.
Practice making up word problems using what you see going on around you (the
people eating in the restaurant or in the car beside you) and have them solve
it.
Make a game of it.
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