Methods: Mixed-Methods Research Design

  • Ji Yeong IEmail author
  • Hyewon Chang
  • Ji-Won Son
Part of the Mathematics Education – An Asian Perspective book series (MATHEDUCASPER)


We employed a convergent design mixed-method research approach that included both qualitative and quantitative data being collected concurrently and analyzed equally. This chapter includes the detailed description of the research design, data collection process, and data analysis method. The Likert scale survey, developed by the research team, was administered online to approximately 100 elementary teachers in South Korea to examine their perspectives of teaching KLLs mathematics based on the five domains of the established framework. Combined with the survey data, we included a case study of two elementary school teachers from the same school, which entailed video recordings of classroom observations, lesson plans, and semi-structured interviews. For this book, we explored one elementary school and two classrooms within this school in great detail. The quantitative data drawn from the survey was analyzed using descriptive statistics, and the qualitative data was analyzed through analytic memos and emerging themes. In sum, the results of the case studies were compared to the results of the survey to help us analyze how teacher perspectives of teaching KLLs mathematics are related to their implementation of culturally responsive teaching strategies.


Mixed-method Likert scale survey Descriptive statistics Observation Semi-structured interview 


  1. Aguirre, J. M., & del Rosario Zavala, M. (2013). Making culturally responsive mathematics teaching explicit: A lesson analysis tool. Pedagogies: An International Journal, 8(2), 163–190. Scholar
  2. Creswell, J. W., & Plano Clark, V. L. (2011). Designing and conducting mixed methods research (2nd ed.). Los Angeles: SAGE Publications.Google Scholar
  3. Cross, D. I. (2009). Alignment, cohesion, and change: Examining mathematics teachers’ belief structures and their influence on instructional practices. Journal of Mathematics Teacher Education, 12(5), 325–346. Scholar
  4. Ladson-Billings, G. (2009). The dreamkeepers: Successful teachers of African American children (2nd ed.). San Francisco, CA: Jossey-Bass Publishers.Google Scholar
  5. Moschkovich, J. N. (2007). Examining mathematical discourse practices. For the Learning of Mathematics, 27(1), 24–30.Google Scholar
  6. Pohan, C. A., & Aguilar, T. E. (2001). Measuring educators’ beliefs about diversity in personal and professional contexts. American Educational Research Journal, 38(1), 159–182. Scholar
  7. Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15, 4–14.CrossRefGoogle Scholar
  8. Simic-Muller, K., Fernandes, A., & Felton-Koestler, M. D. (2015). “I just wouldn’t want to get as deep into it”: Preservice teachers’ beliefs about the role of controversial topics in mathematics education. Journal of Urban Mathematics Education, 8(2), 53–86.Google Scholar
  9. TEACH MATH. (2012). Culturally responsive mathematics teaching lesson analysis tool. Unpublished Instrument.Google Scholar
  10. Villegas, A. M., & Lucas, T. (2002). Preparing culturally responsive teachers rethinking the curriculum. Journal of Teacher Education, 53(1), 20–32. Scholar

Copyright information

© Springer Nature Singapore 2019

Authors and Affiliations

  1. 1.Iowa State UniversityAmesUSA
  2. 2.Seoul National University of EducationSeoulKorea (Republic of)
  3. 3.Department of Learning and InstitutionUniversity at Buffalo - SUNYBuffaloUSA

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