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Topic: optimal challenge

“Interesting,” not “complicated” (Math Mantras, part 2)

Friday, January 6th, 2012

Lately I’ve been thinking a lot about re-framing. Along the lines of “eraser time,” and “when in doubt, write it out,” another way I’ve found helps my students to approach a more complex problem with courage and even a sense of playfulness is saying the simple phrase, “This looks… interesting,” with a little friendly smile.

Why does this work? So many times when kids hit a problem that looks weird to them, they just stop and give up, thinking, I don’t recognize this, I don’t know how to do this, no one has taught me this yet! I will just wait, or close my book and go do something else, or hope this problem disappears! But frequently, those problems are just one little step, one small stretch, beyond what they have just done.

“This looks…interesting” opens up a space where it’s okay if you don’t know exactly what to do–a place where you can explore. A zone where you can spread out and think about what might work or what you could try. It neutralizes the subconscious tendency to freak out. It’s like you’re an archeologist discovering a beautiful, mysterious artifact whose purpose is unknown. Instead of thinking, “I don’t know what to do with this crazy thing!” you can welcome the process of puzzling out how it might work.

I’ve found that if I do this enough, it’s one of those phrases that my students repeat back to me, unprompted. If we’re talking about the complicated problems as though they are “interesting” instead (even if inside, they might be saying, “this looks scary/impossible”), eventually they start doing this on their own.

And it’s not just a trick–it’s also true. Part of the process of mastery is that what was once impossible becomes familiar. And what is familiar is no longer challenging. And eventually, what is familiar becomes downright boring.

So to stay in the magic space between frustration and boredom, where the problem is perfectly matched to our abilities to stretch us just one step beyond what we already have done, we need to kick it up a notch so we don’t get bored. So we can grow. And so we can enjoy.

Related posts:
It’s eraser time! (And other math mantras)
On Optimal Challenge
How to help kids be OK with things being hard

Topic: optimal challenge

When should a teacher recommend a tutor?

Monday, April 4th, 2011

No classroom experience can meet every individual student’s needs at all times. Though teachers use a variety of approaches to reach different students and give them multiple chances to “get” the material, sometimes a student’s needs are so particular that a teacher just can’t address them in a crowded classroom.

Recommending a student work with a tutor can allow you to leverage your own expertise. You tell the tutor what you’ve noticed the kid needs to spend more time on. The tutor works with your student to help them internalize material and prepare for tests.

During the process, the tutor will share their observations about your student—information which may help you in your classroom interactions. And this kind of open and specific communication between you and the tutor will make a huge difference for your student.

Good tutors work with you as a team to accelerate and amplify what you’re already doing in your classroom. And while some teachers fear that a tutor will do their student’s work for them, a good tutor will encourage your student to take ownership of their work using specific, explicit strategies.

Here are some suggestions on when a teacher should recommend that a student get a tutor.

The student has major gaps in knowledge.

Maybe a student missed a couple years of math because they went to a bilingual school and were supposed to learn fractions in French. Maybe a student shows up in your Algebra 2 class having never learned long division because they went to a school where they were supposed to “figure it out themselves.”

When a student struggles with major gaps in material from previous grade levels that other students have down cold, a tutor can give a student the opportunity to really learn the foundational material.

Moreover, a student who might never admit to their official teacher how much they don’t know might feel comfortable sharing their problems with their tutor. The tutor can discreetly pass that information on to you, and you can use it to make the most of your classroom interactions with your student.

The student needs more one-on-one time.

If a student doesn’t have a lot of gaps in their prerequisite knowledge but they’re still struggling to keep up with the pace of the class, working with a tutor can be beneficial.

Tutoring can be a safe space for a student to ask more questions than they might want to admit they have in front of their peers. Also, one-on-one tutoring can allow your student time to drill or explore something as much as they need, instead of feeling like they have to “get it” right away.

More one-on-one time has another benefit. Often, when a student gets customized instruction from a tutor, they start to understand how they learn best and become more active learners both in and out of the classroom.

A student needs more differentiated instruction than can be provided in the classroom.

Maybe you already have a strong sense of your student’s learning style, but it’s hard to meet their needs in the classroom. Perhaps you’ve got a student with a diagnosed learning issue or disability, or a student who just marches to a completely different drummer. Maybe they need to experience the concepts in a way that wouldn’t make sense to anyone else in the class.

A good tutor can provide a completely differentiated learning experience, customizing their instruction to the individual student.

For example, a kid who feels pressured by flashcards might do a great job learning his multiplication facts by building squares and rectangles out of Legos. An ADHD kid who struggles to sit through a whole class period might thrive with a tutor who takes frequent breaks to shoot hoops. A dyslexic kid who’s overwhelmed by FOILing binomials might master the technique using a more visual box method.

When a tutor is successfully customizing your student’s learning experience, that student will be able to more effectively participate, contribute, and succeed in your classroom.

Tutoring boomerangs back to your classroom

An example: recently, I started working with a new tutoring student who, at the outset, was disinterested in learning math. But after a few weeks together, she started engaging more in her own learning. She spontaneously made up new lyrics to the tune of Michael Jackson’s “Beat It” to help herself remember that numbers that end in zero are even. A few weeks later, I heard that she was so engaged in trying to answer questions in math class that her teacher remarked, “I think I see a mathematician!”—referring to this same previously disengaged student!

The best kind of tutoring—the kind where you, your student, and the tutor are all communicating openly—can help kids transform. These students become more active self-advocates for their own learning. They participate more, engage more, and ask more questions in the classroom.

When a frustrated or overwhelmed student renews their love of math in part because of the tutoring experience you’ve helped them co-create, they’ll probably bring that new enthusiasm and confidence right back to your classroom.

Related posts:

Is multi-sensory learning hardwired into our humanity?
When in doubt, talk it out (learning styles)
How to find a good tutor
On Optimal Challenge

Topic: optimal challenge

On Optimal Challenge

Monday, December 7th, 2009

From Mihaly Csikszentmihalyi’s book, Flow: The Psychology of Optimal Experience:

The optimal state of inner experience is one in which there is order in consciousness. This happens when psychic energy—or attention—is invested in realistic goals, and when skills match the opportunities for action. (p.6)

Wow, what an aphorism! I think this description of optimal consciousness coincidentally happens to describe the process of good teaching, whether you’re teaching someone else or teaching yourself.

Every nanosecond that I spend with my students, I’m trying to present them with realistic goals by giving them things to do that I know they can do or that I’ve just shown them how to do. It’s not a question of “dumbing” anything down, but figuring out what they already know and building from there.

I also always try to match my students’ “opportunities for action,” also known as “math problems,” to their skill level. I give them material that they can do using what they’ve just learned, and I sometimes add some problems that are a bit of an extra stretch if I think the student is up for it.

I didn’t realize that, along the way, we were creating something as delicious as order in consciousness.