Abstract: In recent years, many researchers have explored the types of knowledge that teachers need to teach students effectively, how to assess those types of knowledge and apply them to develop occupational force for Math teachers. In Vietnam, there is currently no research on mathematical knowledge model in teaching (model of Mathematical Knowledge for Teaching, abbreviated as MKT model) of future Math teachers. Model of mathematical knowledge in teaching (model of Mathematical Knowledge for Teaching, called MKT model for short) was developed by Ball and colleagues from the University of Michigan. The article analyzes one of the types of knowledge of this model as pedagogical Content Knowledge, PCK; at the same time, describe the mathematical tasks designed to evaluate the necessary types of math knowledge of teachers when teaching the topic of derivative, some problems of developing professional capacity of future math teachers.
Keywords: Math knowledge, derivative, professional competence, future Math teacher.