I'm a one-time academic mathematician, used to teaching smart undergraduates who made the choice to be in my classes. You can also find me overactively answering questions on Mathematics SE.
Recently, a neighbor with a 14 year-old son (let's call him Mark) asked me to help. Mark is about to start high school in an International Baccalaureate program. Over the summer Mark has been taking an obligatory refresher course offered by his new high school: 2 hours/day, 5 days/week. His marks are mediocre, his motivation is low and his parents are at a loss. Neither of Mark's parents are able to keep up with the mathematics at this level. Mark and I get along well in general and can talk about movies and general news. Right now he's resistant to the idea that he needs or wants help in the form of talking to me or working harder at mathematics.
Could anyone give me some advice on how to help?
Mark is interested in consumer electronics and some basic programming. Describing the intellectual paths $$Mathematics \to Physics \to ElecEng \to Consumer \ Electronics \\ \text{ and }\\ Mathematics \to Computer \ Science \to Programming$$ are possibilities. However I feel using this approach runs the risk of being too abstract for him. (That is, I can see these paths clearly as I have walked them for a couple of decades; but it's all unknown to him.)
His mother tried another approach last week: "Wouldn't you like to be the smartest kid in the room?" Answer: no.
I have watched the lectures from Jo Boaler's Stanford course on Mathematics Education. It has many great ideas on how to teach well at this level. So if Mark and I were to meet once or twice a week I think I know how to teach him fairly well and hopefully provide ongoing motivation through the elegance and creativity of mathematics.
But how do we get him started?
I'm open to suggestions!
Update (3 days later):
Thanks everyone for your advice and comments.
After speaking to Mark's parents we are using a 4-pronged approach:
- To help him get into the right mindset about learning mathematics and overcome some of the negative messages he has heard about himself, his mother has started watching with him the excellent, short course by Jo Boaler How to learn Math: For Students. I watched the lessons with the mother first to coach her through the material.
- I am tutoring him a couple of times a week and following Jo's advice about giving him the right kinds of messages about learning, as well as doing all the good things a teacher should do such as
- treating mathematics as much more than just a series of rules and procedures and helping him see connections between material in mathematics
helping him see connections between mathematics and the broader world, such as this week's Pluto photos and his interest in computing
In his home life, his parents are actively managing a number of issues such as excessive screen time.
- One of his parents has committed come the new school year to learn mathematics in parallel with Mark up to the end of Pre-Calculus, so they can talk to him about it and demonstrate that they believe the material is important. I plan to introduce them to Khan Academy to help with that parent learning. Khan also gives them another tool to help Mark in the future if he is stuck on a topic.
As a tactical matter, I have also given him a couple of mechanical pencils. He was writing with blunt pencils and his mathematics was messy, resulting in him often misreading his own work and making errors.