This study aims to visualize the commognitive processes in computer-supported one-to-one teaching and learning. By commognitive processes we mean cognitive processes and interpersonal communication. A 6-years mathematics teacher and a 15-year-old boy in China, who have done computer-supported one-to-one tutoring, were chosen to be the samples. We collected four computer-supported one-to-one tutoring videos (60-90 min) about one chapter of mathematical set knowledge between one teacher and one student, and 30 min interview video from the teacher. Based on Bloom's cognitive classification theory and commognition theory, we develop a commognitive classification framework, then encode and visualize the videos. We found that mathematics commognition processes can be divided into six levels and classified into three types: teacher-lead, student-lead, and teacher-student comparison.