The ability to think independently and solve problems in the graduate school interview can be carried out from the following aspects:
1.*In-depth answers to professional questions**: When an interviewer asks a question about his or her area of expertise, don't just give a superficial answer, but try to provide as in-depth, unique insights as possible, even in the context of your own practical experience or research results. For example, you can start by outlining the basic theoretical framework of the problem, then extend it to a deeper understanding, then share how you think about the problem from different angles, and finally propose your solution or suggestion.
2.*Examples**: Give specific problems you have encountered in your study or practice, and describe in detail how you independently discovered the problem, analyzed the problem, designed a solution, and finally implemented the process of solving the problem. This process should demonstrate your ability to make independent decisions, think critically, and solve difficult problems.
3.*Dialectical Analysis**: For some controversial topics or opinions, do not give absolute answers directly, but conduct a multi-angle dialectical analysis to show your ability to weigh the pros and cons and consider the problem holistically.
4.Think Creatively: When discussing a topic, if possible, bring up some novel ideas or ideas that have not yet been widely used, which not only demonstrates your independent thinking, but also demonstrates your sense of innovation.
5.*Proactive Questioning**: Asking high-quality questions at the right time during the interview process shows your deep understanding of the field and your desire to explore, and can also reflect your attitude of taking the initiative to think and seek to solve problems.
6.*Reflection & Improvement**: For past learning experiences or work projects, in addition to talking about successes, also mention the challenges and mistakes you encountered along the way, and how you learned from them and made improvements, which can show that you have the ability to learn from failures and solve problems independently.
Overall, the key to effectively demonstrating independent thinking and problem-solving skills in an interview is to be able to provide answers that are deep, broad, and innovative, and that can be brought to life through concrete examples.