There are many ideas and directions. Here are some possibilities:
Aelterman, N., Vansteenkiste, M., Van Keer, H., Van den Berghe, L., De Meyer, J., & Haerens, L. (2012). Students’ objectively measured physical activity levels and engagement as a function of between-class and between-student differences in motivation toward physical education. Journal of sport and exercise psychology, 34(4), 457-480.
Roure, C., Lentillon‐Kaestner, V., & Pasco, D. (2021). Students’ individual interest in physical education: Development and validation of a questionnaire. Scandinavian Journal of Psychology, 62(1), 64-73.
Sulz, L., Temple, V., & Gibbons, S. (2016). Measuring student motivation in high school physical education: Development and validation of two self-report questionnaires. Physical Educator, 73(3), 530.
Fierro-Suero, S., Almagro, B. J., & Sáenz-López, P. (2020). Validation of the achievement emotions questionnaire for physical education (AEQ-PE). International journal of environmental research and public health, 17(12), 4560.
Standage, M., Duda, J. L., & Ntoumanis, N. (2005). A test of self‐determination theory in school physical education. British journal of educational psychology, 75(3), 411-433.
Escriva-Boulley, G., Guillet-Descas, E., Aelterman, N., Vansteenkiste, M., Van Doren, N., Lentillon-Kaestner, V., & Haerens, L. (2021). Adopting the situation in school questionnaire to examine physical education teachers’ motivating and demotivating styles using a circumplex approach. International Journal of Environmental Research and Public Health, 18(14), 7342.
Many, many more. Without a specific focus, there could be many different angles!
Wanting 11 specific “teaching styles,” whatever that means, is a tall order. A key to research is make it manageable, since you probably don’t have the skills, time, or sample for such a wide ranging study. Try to focus on a study you can complete. Maybe start by looking at 2-4 different surveys?