Navigating the Enigma: How to Handle Unknown Math Questions as a Tutor

In the world of mathematics tutoring, you inevitably encounter questions that leave you stumped. This situation is more common than you may think, and handling it adeptly can strengthen your relationship with your students and elevate your teaching effectiveness.

Be Honest and Open

First and foremost, honesty is crucial. Acknowledge that you don't know the answer and promise to find it. This transparency not only builds trust but also sets a powerful example for your students. Admitting you don't know something is not a weakness but a strength—especially when you show your students how to problem-solve and learn from the experience.
"Huh, that's interesting! I haven't done a problem like that before" can be a great way to start the conversation. It signals to the student that you are genuinely engaged in the learning process and are committed to finding a solution together.

Role Modeling and Mentoring

When you encounter an unknown problem, it provides an excellent opportunity for role modeling. Explain to your students how you approach problems you don't know. Organize the information you have and structure it in a way that makes sense. This not only demonstrates your problem-solving skills but also empowers your students to tackle similar problems in the future.

A Collaborative Research Approach

Turning the unknown into a shared research project is not only beneficial for the students but also a great learning opportunity for you. Admit that you don't know and then invite your students to help you find the answer. You could start by brainstorming possible resources. Here are some suggested pathways:

Electronic resources such as Khan Academy, Wolfram Alpha, or specific educational websites Textbooks and reference sources relevant to the topic Asking more experienced colleagues or professors for guidance

Once you have a list of potential resources, start exploring them together. Follow up and keep the momentum going. When you find a solution, reflect on what worked and what didn't. Celebrate the process as well as the answers achieved.

A Remarkable Example

Here's an inspiring example. I often tutor students at a McDonald's near a university. During one tutoring session, we were stuck on a matrices problem. In a moment of frustration, I admitted that I didn't know how to solve it. Soon after, someone at a nearby table overheard our discussion and offered a solution! Not only did this connection help us solve the problem, but it also provided a real-world example of how seeking help can lead to unexpected solutions.

The Essence of Tutoring

A good tutor is not someone who knows all the answers or who always knows exactly how to help with every question. Instead, a great tutor is one who is willing to admit that learning is a journey and demonstrates the process of learning. The best mathematicians and scientists are those who remain curious about the questions they cannot yet answer, as these are the questions that drive progress and innovation.

Encourage your students to embrace the learning process, just as you do. Teach them to approach problems with a growth mindset and to see mistakes and challenges as opportunities to grow and learn. By doing so, you not only help them succeed in mathematics but also equip them with valuable skills for life.

Remember, the journey to learn and understand is just as important as the destination. Embrace the challenges, learn from them, and celebrate every step of the way.