I really like seeing the bigger picture behind problems. Knowing how to solve a particular problem is one thing, but understanding why that process works and where these concepts are derived from is even more important to me.

Introduce myself and try to get to know them very well. I really like to connect with students the first time around, and would like to let them know that this session and any other future sessions will definitely be stress-free and conducted in a calm manner. I would also try my best to identify the strengths and weaknesses of each student, and try to work with them accordingly when explaining material to them.

I really emphasize learning the origins of where our concepts always come from. Understanding the core foundation of what you are actually doing when you solve certain problems helps open students' eyes on becoming an independent learner. They will hopefully be able to use the critical thinking skills I hope to pass on to them to further their understanding of future concepts and build a strong foundation for learning as a whole.

Always remind them the values of working hard and being successful in this world. I will also try and ensure that there is no question left unanswered, so there is no uneasiness with the student after a session. I want to ensure they have a full understanding of the material that they struggled with prior to the session.

I would try and break down the problem step by step and create sub-problems in order to solve the main one. I find that I can really minimize a problem's difficulty when tackling it from different angles and understanding the basic fundamentals behind it.

I would probably try and read a passage with them and ask them a multitude of passage understanding questions that lead up to the main questions that are asked. Similar to breaking down a mathematics problem, I feel reading comprehension can also be broken down into smaller subsections and concepts to be learned.

我真的很喜欢问他们问题again to ensure that they are the ones solving this problem and I'm not simply giving them the answers over and over again. I want to make sure that they understand what they are doing with their processes, and questions are the best method I like to use.

I like to always remind students how important it is that we learn these concepts for the future, no matter what field you choose to go into. All knowledge can be useful in a plethora of circumstances. I would hope that they see the passion that I put into tutoring them, and see it to brighten their perspectives on the subject they are struggling with.

As previously stated, constantly asking them sub-questions that relate to the main problem as a whole is a great way of proving that they understand what's going on with their problems. I view it as a process to the top of a pyramid. You have to take one step at a time and walk them through it slowly. If they struggle at answering one of the smaller sub-questions, then another set of questions can most likely be introduced to help them understand how to solve the smaller question, and move on from there.

I would say practice practice practice! If you can do 10 of the same problem with different numbers or variables, then you most likely will have confidence next time you see a similar problem. I would also try to simplify the more challenging problems into easier terms so they can see that some of the questions may not be as hard as previously assumed. Once a student is able to easily complete tasks thoroughly, then you know they will have confidence in the future.

I think I would have to assess which problems they are not able to complete on their own and use my sets of sub-questions to evaluate areas that may need improvement. Then I would probably try and give easier problems that relate to that particular weakness, and have them practice it and then apply it to the bigger harder problems so they can have a full understanding and strengthen their weaker areas.

If a certain method isn't getting through to them, I would try to relate to the student in a way that can help them better understand. For example, if a student has a large interest in baseball and is struggling with a particular problem, I would try and adapt my tutoring by giving simple examples involving baseball. There's a higher chance an example involving a subject he/she is passionate about can spark his/her interest.

I generally try to keep it really basic, with a simple pencil and paper. But for online tutoring I will most likely be using an online whiteboard and screen share. Calculators will be used if necessary as well. And maybe any kind of online graphing tools if I feel it will better illustrate a point I am trying to demonstrate.