Math Modeling and Case Solving in Real Context: Case Study at Xuan Giang High School, Soc Son District, Hanoi City, Vietnam

Research Objectives: Assess students' process of problem-solving situations in real contexts, through selection and evaluation of solutions to see whether the solutions they offer are really applicable in real-world contexts. Research Methods: We chose the first group of 3 students who have been taught by teachers the method of mathematical modeling; the second group of 3 students did not learn about mathematical modeling. Content 1: Teachers prepare some problematic situations in the real world, students perform problem solving; Content 2: we ask the teacher to create conditions for students to search for problematic situations themselves in real contexts, students solve problem. Research result: We found that, in the first group, students significantly increased their mathematical modeling ability, they could easily identify problematic situations; convert from life language into mathematical language. Moreover, students in the first group not only offer solutions to solve mathematical problems, they also consider, evaluate solutions, consider whether this mathematical result is converted to practical and applied in context. Students are confident in communicating; proposing ideas for model improvement, changing solutions, finding the most acceptable options in practice. On the other hand, 3 students of the second group had difficulty in solving problems. The students were mainly dealing with situations that were purely mathematical, lack of creativity when proposing solutions, as well as not yet considered whether the solution is appropriate in the practical context or not.