Rebecca Zook - Math Tutoring Online

When this student first came to me, her dad was concerned that she had lost interest in learning math. During the school year, it also emerged that the student was in danger of not passing fifth grade.

Here’s what worked for this student:

Supporting the student’s own efforts to be proactive
During one of our first math tutoring sessions, I pointed out to this student that numbers that end in zero are even. Somehow she hadn’t learned that before. To help herself remember this new fact, she spontaneously made up new lyrics to the tune of Michael Jackson’s “Beat It.” They went like this: “Even! Even! Numbers with a zero are even!”

The next time we met, I added to her original lyrics: “Even! Even! Numbers that end in zero are even! So are the numbers 2, 4, 6, 8. They are all even, and they’re all great! They’re even!”

She would sing the zero song whenever this topic came up. Not only did my student create a great way to remember this fact (and inspire me too), but singing also allowed her express her enthusiasm for math and let off a little steam.

Another time, she suggested we create a “Mistakes Log Blog” to help her analyze what mistakes she had made on a test that we were reviewing. I ran with this idea. When she wrote down where she’d made mistakes, the patterns became much clearer to her. In later sessions, she’d refer back to the “Mistakes Log Blog” when analyzing errors.

“Field trips”
In order to make concepts more concrete, we’d take field trips—to my living room, where we’d practice perimeter and area by measuring my rug, or to the kitchen, where we’d measure a round plate to show where the number pi comes from.

At my kitchen sink, we poured water between different containers to show the relationships between units of measurement. And we acted out word problems using food from my refrigerator. Field trips were way more engaging to her than sitting with a worksheet, so I tried to maximize this.

Multi-sensory learning
From taking all those field trips during math tutoring, I noticed my student benefited from hands-on learning. So we also used fraction overlays and math blocks from Math U See to build fractions and do “fraction of a number” problems. Using the manipulatives made abstract concepts concrete for my student, and really helped her “get” the material. Plus it was fun!

When I realized my student didn’t know her 9s times table yet, I taught her the Rockin’ the Standards song for the 9s, to the tune of the hokey pokey, so she would remember them forever. I also taught her the Place Value Rap to remember key facts about place value. Not only were these songs a great chance to stand up and play air guitar, but they were also an excellent way to internalize crucial material and build on the success of the Zero Song.

Managing focus
During the year, we met twice a week for either 60 or 90 minutes. If I noticed my student was losing focus, we’d take a break to jump up and down to rejuvenate ourselves. After a while, my student would ask to jump when she was having trouble concentrating. It might sound silly, but I was proud that my student was starting to pay attention to whether or not she was paying attention and that she knew how to refocus herself. (Thanks to Gretchen Rubin for inspiring me to try this!)

Brainology
When I realized my student was in danger of not passing fifth grade, I decided to use Carol Dweck’s Brainology curriculum, one of the most powerful motivational tools I know of to address one of the underlying cause of low achievement: low motivation. For several weeks, we would spend part of each tutoring session doing Brainology, which uses basic neuroscience to teach students that their brains are plastic and they can grow their intelligence.

My student enthusiastically embraced the Brainology program. She talked about the characters like they were her personal friends, and she responded to questions like “what is happening in your brain when you think?” with answers like, “Neurons are sending messages within a trillion connections.” She also used Brainology concepts like getting enough sleep and eating “brain food” while she was taking her end-of-year standardized tests (the CRCT).

The results
Three or four weeks after we began working together, her teachers reported a positive change in this student’s attitude. She started sitting in front, participating, and speaking up when she didn’t understand.

After about sixth or seven months of meeting twice a week, this student mastered the material, pulled up her grades, and successfully passed fifth grade. Her final math test score was so high that she was only either 10 points or 10 questions away from placing into the advanced math class in sixth grade. I am so proud of her!

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Do you need a way to remember unit conversion effortlessly and forever? Or just a way to calculate how many cups there are in a gallon?

Here’s how to figure it out. Draw a gallon man!

First, draw a really big capital G. (This is the gallon.)

Inside the G, draw four big Qs. (These are the quarts.)

Inside each Q, draw two Ps. (These are the pints.)

Inside each P, draw two cs. (These are the cups.)

For the final flourish, draw an arrow to one of the cs and write “8 ounces.” (There are eight ounces in every cup.)

When one of my students, a fifth grader, taught me about Gallon Man, I thought, I wish I had learned about this in fifth grade! My entire life, I’ve had to look up each of the conversions and never really internalized how they all fit together.

Since I’ve been introduced to Gallon Man, I’ve gleefully shared him with a fourth grade tutoring student (online), a friend who is a professional organic farmer (in person), innocent bystanders (at a restaurant), and most recently, my Mom (over the phone…”first, draw a really big G…”)!

They’ve all found Gallon Man helpful. Responses have included: “Can I take that drawing home with me?”, “Oh…I get it!”, and “I’m going to hold onto this.”

Gallon Man is totally visual and works for many learning styles. You can SEE how many quarts are INSIDE a gallon. Gallon Man is intuitive for all grade levels (unlike dimensional analysis, you don’t have to worry about the numerators or denominators). Gallon Man is practical. You can use it in your kitchen or in the grocery store. Gallon Man is easy to remember. And Gallon Man is fun to draw!

Gallon Man has recently gotten some airtime from other math bloggers, including Sam J Shah, who pointed out that it really helped him to see someone drawing Gallon Man. Here’s Sam’s post and video.

Yay for mnemonic devices!

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A student came to me this past spring with an unusual proposition. She wanted tutoring because she felt that she’d lost her love of math and she wanted to regain it. (Also, she was already earning Bs in school, but she wanted to learn math without so much stress.) What a really cool reason to seek tutoring! Plus, I was excited to work with a student who was already intrinsically motivated.

Since every student is different, I wasn’t sure until we started working together what would help her regain her love of math. She was already very organized and would come to each session with a plan for what she wanted to discuss.

It quickly became apparent that she really just needed some time one-on-one to go over the things she had questions about. The way that her classroom teacher explained things wasn’t always the way that made the most intuitive sense to her. (This isn’t unusual, considering that every single human has a unique way of approaching their own learning).

Another thing that worked was introducing alternative ways of thinking about particular math concepts. This student was great at evaluating what options worked best for her. She’d explain which approaches made total sense and which ones really didn’t help her. She’d also use her synaesthesia to create her own mnemonic devices.

This student would tackle tough problems with gusto. Once, after she cracked a particularly challenging problem, I drew a star with shining rays next to her final answer to show how proud I was. We jokingly named it “The Star of Vanquishment”—vanquishing seemingly impossible problems! This became a running joke. We’d draw it when we felt like we needed inspiration to get through something unfamiliar, or to celebrate when we solved a tough problem.

My student’s school year ended later than any other schools in the area. I was concerned because before I’d committed to working with her, I’d made plans to be out of town for a music festival during her final exams. So she was one of the first students to test-drive my online tutoring technology with me.

During our final session online, she told me that her past three quiz grades had been an 100, an 103, and a 93—“but the 93 was the highest grade in the class on that quiz.” I was so proud of her!

Most importantly, it seemed from her confident and enthusiastic attitude that she had regained her love of math, or at least was well on her way. Overall, I think the “secret ingredient” here was just supporting her and personalizing her instruction in a relaxed and encouraging environment.

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I stumbled across this curriculum while looking at a website of suggested resources for Visual-Spatial Learners. Math U See is designed to be a homeschool curriculum, but I’m wondering why more people don’t know about it and use it. I really wish I had learned about it a lot earlier—like when I was in middle school.

Some core principles set this curriculum apart. Students use blocks (aka “manipulatives”) to build all the numbers first. So for every problem they “build it, say it, AND write it”—thus appealing to many different learning styles—tactile, visual, verbal, etc. An integral goal of the curriculum is that students not only know how to do math operations, but also that they know when to do each one.

Also, teaching Math U See style involves four steps: preparing the lesson by watching a DVD of Math U See founder Steve Demme teaching the curriculum; presenting the lesson to the student; practicing in the workbook; and proceeding when the student can demonstrate mastery by teaching the material back to you.

I love the autonomy support aspect of this curriculum. Steve Demme explains that many people ask how long they should spend on a lesson, and he believes you should really take as much time as you need. I think it’s so cool that the student really sets the pace for when it’s time to move to the next new idea.