Have you engaged in a “show your work” battle with a student? Have you heard this line: “If I can do it in my head, why do I have to write it out?”
You may be fightingthe wrong battle.
Writing Out Lesson Plans
Let’s switch our perspective. Have you ever been forced to write out a lesson plan? Did you grumble to your colleagues that you can teach just fine without typed-out plans? That it’s a huge waste of time?
Then you understand the frustration a student feels when they’re forced to write out “the work” for a problem they already know the answer to. For a student who immediately sees that, given 3x=9,xequals 3, writing out their work is as silly as demanding a 4th grader “Prove” that 1 1=2.
Let’s get it straight, though; a first-year teacherwill benefitfrom writing out lesson plans until they’ve developed mastery, just as a student first learning algebra may need to write out their work to get the solution.
The Solution: Increase Complexity
Forcing students to write out unnecessary work is a fruitless endeavor. It masks the real problem, which is this:
If a student can do it in their heads, thenthe work is too easy!
Instead of battling over “showing work,” simplyincrease the complexity of the problem until the studentmustdo the work out to get it right.
If students can “see” the solution to 3x=9, first congratulate them on having such an intuitive mathematical mind. Then, differentiate the problem until you’re actually challenging the child. Have your student solve forxgiven 3x – 2=7. This two-step problem may be complex enough tomake it usefulto show one’s work.
Are your primary students refusing to write out the steps to solve 21 30? Increase the complexity to 35 21 30. Can they do that in their head? Congratulate them (because it is impressive) and then push the complexity another step until the work serves a useful purpose to the student.
This is the crux. Once a studentbelieves in the usefulnessof writing out the steps, then they have an incentive (beyond avoiding a nagging teacher) to do so.
As adults, we know that it’ssometimesuseful to write out our work because we’ve goofed up enough times while balancing checkbooks . But as teachers, we also know that writing out detailed lesson plans is usefulin certain situations.
More On Increasing Complexity
I wrote more aboutincreasing complexity here. We must be careful not to admonish our intuitive learners for being intuitive. As teachers of the gifted, we must set up learning environments that our best for our students. And if they’re doing it all in their heads (and getting it right!), Then the environment needs to change, not the student.
Read more aboutshowing work in math here.
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