1, case study:
By analyzing the problems in real life, students are guided to use mathematical knowledge and methods to build models, thus solving problems.
2. Panel discussion:
Students discuss in groups, make mathematical modeling and analysis for specific problems or situations, propose solutions and report.
3. Practical activities:
Students explore mathematical problems or phenomena through experiments, observations, measurements and other practical operations.
4, research projects:
Students carry out a complete mathematical research project in the form of groups, and independently complete the whole process from question raising, literature review, model establishment, data analysis to conclusion summary.
5. Competition form:
Organize mathematical modeling competition or mathematical inquiry activity competition, encourage students to participate actively, and improve their mathematical application ability and innovation ability.
6, teacher guidance:
Teachers provide guidance and suggestions to help students solve problems in the process of modeling and inquiry, and ensure the smooth progress of activities.
7. Cooperation and exchange:
Students communicate with each other, share ideas and methods, solve problems together and realize knowledge sharing.
8. Online learning:
Use the network platform and resources to carry out relevant courses and lectures on mathematical modeling and inquiry activities, so as to facilitate students to study anytime and anywhere.
9. Case simulation:
By simulating problems in the real world, let students use mathematical modeling to solve problems. This method can make students understand the principles and methods of mathematical modeling more deeply and improve their practical operation ability.
10, academic lecture:
Experts and scholars in the field of mathematical modeling and inquiry are invited to give academic lectures regularly, so that students can understand the latest research progress and development trend and broaden their horizons and ideas. At the same time, it can also provide opportunities for students to communicate with experts and scholars, and solve the problems that students encounter in the process of study and inquiry.
Establish a mathematical model according to the actual problem, solve the mathematical model, and then solve the actual problem according to the result.
The topics of mathematical modeling competitions generally come from practical problems that have been properly simplified and handled in engineering technology and management science, and participants are not required to master in-depth professional knowledge in advance.
You only need to study mathematics courses in ordinary colleges and universities, and complete a paper (that is, answer sheet) including the hypothesis, establishment and solution of the model, the design and computer realization of the calculation method, the analysis and test of the results, and the improvement of the model. Competition awards are based on the rationality of assumptions, the creativity of modeling, the correctness of results and the clarity of text expression.