#### Posts Tagged as "precalculus"

## Case study: a 10th grader goes from feeling like math is a foreign language to being the most-called upon student in her class

Wednesday, October 26th, 2016When this student first came to me just before the summer between her freshman and sophomore years, her mom told me that the tutor they’d just worked with had told the family that to this student, math was like a foreign language where she only spoke five words.

Somehow she’d made it to the end of 9th grade with Bs in math, but none of it actually made any sense to her. It was like she just knew enough to “get around” – like how to ask where the bathroom was and order a hamburger – but not enough to really understand what was going on around her, or communicate herself.

Once we started working together the summer before she headed into pre-calculus, this student’s mastery, confidence, and grades began to steadily improve. By mid-sophomore year, my student’s teacher mentioned to her that he had to be careful to call on other students because my student always gave the correct answer!

The “piece de resistance” was when my student had to take an oral final for her math class at the end of her 10th grade year. Her teacher gave them five very sophisticated problems that synthesized everything they’d ever learned in new ways they hadn’t seen before. They had unlimited time to prepare, and then each student was asked to explain one of the five problems, picked at random on the spot, in front of the entire class. My student did such a good job that she got an A, and she told me later that she walked out of that class feeling like, “I can do anything!”

When it came time for this student to decide what math class to take after pre-calculus, instead of taking the statistics class that many students take as a way to avoid math, my student opted to enroll in AP AB Calculus. Because math had become beautiful, fascinated, and intrinsically rewarding to her, she wanted to keep exploring and growing.

Here’s how this student and I worked together to completely transform her experience of math from a source of unbelievable stress and anxiety into a source of joy and strength:

**1. We worked in an atmosphere of total camaraderie and trust.** Our tutoring sessions were totally a lighthearted, safe zone where there was absolutely no judgement. This student was free to ask as many questions as she wanted, go over as many examples as she desired, or go over the same example as many times as she required, without any fear of being embarrassed.

**2. We focused on filling in the gaps, while also addressing whatever she needed to learn that week or that day.** When we would go over her current material and encounter a gap, we’d keep excavating backwards through the layers of prerequisite knowledge until we found the original misunderstanding. Then we’d fill that in, then the idea on top of that, then the idea on top of that, until we’d build back up through the layers to what she was responsible for learning today. This way she was able to repair gaps in her foundational knowledge, while also staying on top of her weekly curriculum and being prepared for tests and quizzes.

**3. We really focused on approaching the material in a way that worked for HER.** This particular student craves conceptual understanding, so we would approach the material from different angles until she understood WHY it worked that way. She also loves learning math visually, so we would frequently approach concepts and procedures in a visual way – like FOILing using a box instead of just parentheses – that made the concepts more intuitive for her, and easier to internalize.

During moments like this, she would share observations like, “I don’t know how I lived through math without completely understanding this, because it’s so much easier than I thought it was. My whole childhood with math has been completely relearned.”

As my student’s mastery naturally led to greater confidence and grades, her enthusiasm for math grew more and more. She recently shared with me, “This is actually so cool – when actually I understand it, it’s so much fun!”

Would you like your daughter or son to go from feeling like math is a foreign language to experiencing math as genuinely enjoyable, meaningful, and fascinating?

Just click here to get started with your special application for my one-on-one math tutoring programs.

Once your application is received, we’ll set up a special complimentary phone call to get clear if it would be a fit for me to support your child with math. I can’t wait to connect!

Related posts:

Case study: a 5th grader goes from believing “math doesn’t like me” to singing and dancing about math while wearing a purple tutu

Case study: a rising 8th grader masters her summer math packet

How to multiply binomials using a box (alternative to FOILing)

An easy way to remember how logarithmic notation works

Comment on this post (2)