Despite being relatively new in mathematics education research, qualitative researchapproaches need special attention as attempts are being made to enhance the credibility and trustworthiness of this approach. It is important that researchers are aware of the limitations associated with these methods so that measures are put in place to try and minimize the effects of these limitations Philosophical roots and key features of this paradigm are outlined. Qualitative methods such as the interview approach in research literature as a data gathering tool are considered next. Challenges faced by qualitative researchers in terms of reliability, validity and generability are considered. Examples are provided to illustrate methodological problems and solutions related to qualitative methods.
| Published in | Education Journal (Volume 2, Issue 2) |
| DOI | 10.11648/j.edu.20130202.14 |
| Page(s) | 50-57 |
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Research Methods, Qualitative Research, Data Collection, Quality Criteria, Limitations, Possible Solutions
| [1] | Amir, G. & Williams, J. (1999). Cultural Influences on Children’s Probabilistic Thinking. Journal of Mathematical Behavior, 18 (10), 85-107. |
| [2] | Anae,M., Coxon, E., Mara, D., Wendt-Samu, T. &Finau, C. (2001). Pasifika Education Research Guidelines Final Report: Auckland: Uniservices. |
| [3] | Anfara, V. A., Brown, M &Mangione T. L. (2002). Qualita-tive Analysis on Stage: Making the Research Process More Public.Educational Researcher, 31, (7), 28-38. |
| [4] | Battista, M, Boerst, T. Confrey, J, Knuth, E. Smith, M. Sut-ton, J. White, D &Quander, (2009). Research in Mathematics Education: Multiple Methods for Multiple users, Journal of Research in mathematics Education, 40(3), 216-240. |
| [5] | Bell, J. (1993). Doing Your Research Project. Buckingham, Philadelphia: Open |
| [6] | Braun, V, &Clarke, V. (2006). Using thematic analysis in psychology, Qualitative Research in Psychology, 3. 77-101. |
| [7] | Bryman, A. (2008). Social research methods (3rd ed.). Oxford, NY: Oxford University. |
| [8] | Butterfield, J. (2009). Using grounded theory and action research to raise attainment in, and enjoyment of, reading. Educational Psychology in Practice, 25(4), 315-326. |
| [9] | Burns, R. B. (2000). Introduction to research methods (4th ed.). Melbourne, Victoria, Australia: Longman. |
| [10] | Cobb, P. (2007). Foundations 1. Putting Philosophy to Work: Coping With Multiple Theoretical Perspectives. In F. K. Lester(, Jr Ed.), Second Handbook of Research on Mathe-matics Teaching and Learning (pp1-38). Reston: The National Council of Teachers of Mathematics. |
| [11] | Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education (6th ed.). London, UK: Routledge. |
| [12] | Cohen, L., Manion, L., & Morrison, K. (2011). Research methods in education (7th ed.). Abingdon, Oxon, NY: Rout-ledge. |
| [13] | Corbin, J., & Strauss, A. (2008). Basics of qualitative re-search (3rd ed.). Thousand Oaks,CA: Sage. |
| [14] | Cresswell, J. W. (2008). Educational Research: Planning, Conducting, and Evaluating Quantitative and Qualitative Research. Upper Saddle River, NJ: Pearson Prentice Hall. |
| [15] | Cronbach, L. J. (1975). Beyond the two disciplines of scien-tific psychology. AmericanPsychologist, 30(2), 116–127. |
| [16] | Davies, D., & Dodd, J. (2002). Qualitative research and the question of rigor. QualitativeHealth Research, 12(2), 279–289. |
| [17] | Drew, C. J., Hardman, M. L. &Hosp, J. L. (2008). Designing and Conducting Research in Education. LA: Sage Publi-cations. |
| [18] | Elliott, R., Fischer, C., &Rennie, D. (1999). Evolving guide-lines for publication ofqualitative research studies in psy-chology and related fields. British Journal ofClinical Psy-chology, 38(3), 215–229. |
| [19] | Ernest, P. (1997). The Epistemological Basis of Qualitative Research in Mathematics Education: A Postmodern Perspec-tive Journal for Research in Mathematics Education. Mono-graph, Vol. 9, 22-177. |
| [20] | Fijian Ministry of Education, Women, Culture,Science and Technology (1994). PrimaryMathematics Prescriptions. Suva: Curriculum Development Unit. |
| [21] | Fischbein, E. &Schnarch, D. (1997). ‘The evolution with age of probabilistic, intuitively based misconceptions’, Journal for Research in Mathematics Education 28, 96-105. |
| [22] | Fontana, A. & Frey, J. H.(2005). The interview: From neutral stance to political involvement. In N. K. Denzin& Y. S. Lincoln (Eds.), The Sage Handbook of Qualitative Research (pp.695-725)..London: Sage Publications. |
| [23] | Gergen, M. M. &Gergen, K. J. (2000). Qualitative inquiry: Tensions and transformations. In N. K. Denzin& Y. S. Lin-coln (Eds.), Handbook of Qualitative Research (pp.1025- 1046)..Thousand Oaks, CA: Sage Publications. |
| [24] | Golafshani, N. (2003). Understanding reliability and validity in qualitative research. TheQualitative Report, 8(4), 597–607. |
| [25] | Growth, R. (2010). Situating qualitative modes of inquiry within the discipline of statistics education research2 Statistics Education Research Journal, 9(2), 7-21, http://www.stat.auckland.ac.nz/serj |
| [26] | Guba, E. G. & Lincoln, Y. S. (1994). Competing paradigms in qualitative research. In N. K. Denzin and Y. S. Lincoln (Eds) Handbook of Qualitative Research(pp. 105-117). London: Sage Publications. |
| [27] | Hunting, R. (1997). Clinical interview methods in mathe-matics education research and practice. Journal of Mathe-matical Behavior, 16(2), 145-165. |
| [28] | Hunting, R. P. (1983). Emerging methodologies for under-standing internal processes governing children's mathematical behaviour. The Australian Journal of Education, 27(1), 45-61. |
| [29] | Johnson, B., & Christensen, L. (2008). Educational research: Quantitative, qualitative and mixed approaches (3rd ed.). Los Angles, CA: Sage. |
| [30] | Jones, G. A., Langrall, C. W..&Mooney, E. S.(2007). Re-search in probability: Responding to classroom realities.In F. K. Lester Jr (Ed.), Second Handbook of Research on Ma-thematics Teaching and Learning (pp 909-955). Reston: The National Council of Teachers of Mathematics. |
| [31] | Kalinowski, P., Lai, J., Fidler, F. & Cumming, G. (2010). Qualitative research: an essential part of statistical cognition research3Research Journal, 9(2), 22-34, http://www.stat.auckland.ac.nz/serj |
| [32] | Labuschagne, A. (2003, March). Qualitative research – Airy fairy or fundamental? The Qualitative Report, 8(1). Retrieved [26/7/2010], from http://www.nova.edu/ssss/QR/QR8-1/.html |
| [33] | Lankshear, C., &Knobel, M. (2004). A handbook for teacher research: From design toimplementation. Berkshire: Open University Press. |
| [34] | Lesh, R. (2002). Research design in mathematics education: Focusing on design experiments.In L. D. English (Ed.), Handbook of International Research in Mathematics Educa-tion (pp 27 - 49). New Jersey: Lawrence Erlbaum Associates. |
| [35] | McCormick, R. & James, J. (1988). Curriculum Evaluation in Schools. London: Croom Helm. |
| [36] | Miles, M. B., &Huberman, A. M. (1994). Qualitative data analysis (2nd ed.). ThousandOaks, CA: Sage |
| [37] | Merriam, S. (1998). Qualitative research and case study applications in education. San Francisco: Josey-Bass. |
| [38] | Morse, J. M., Barrett, J. M., Mayan, M., Olson, K., &Spiers, J. (2002). Verificationstrategies for establishing reliability and validity in qualitative research. InternationalJournal of Qualitative Methods, 1(2), 13–22. |
| [39] | National Mathematics Advisory Panel. (2008). Foundations for success: The final reportof the National Mathematics Advisory Panel. Washington, DC: U.S. Department ofEdu-cation.[Online: http://www.ed.gov/about/bdscomm/list/mathpanel/report/final-report.pdf ] |
| [40] | National Research Council. (2002). Scientific research in education. Washington, DC:National Academy Press.No Child Left Behind Act of 2001. (2002). Pub. L, No. 107–110, 115 Stat. 1425. Pfannkuch, M. (2006). Comparing box plot distributions: A teacher’s reasoning. Statistics |
| [41] | Neuman, W. L. (2007). Basics of social research: Qualitative and quantitative approaches (2nded.). Boston, MA: Allyn& Bacon. |
| [42] | Parker, I. (2004). Criteria for qualitativeresearch in Psychol-ogy. Qualitative Research in Psychology, 1, 95-106. |
| [43] | Patton, M. Q. (2002). Qualitative evaluation and Research Methods (3 rd edition). London: Sage |
| [44] | Punch, K. F. (2009). Introduction to research methods in education. London, UK: Sage. |
| [45] | Sharma, S. (2010). Qualitative methods in statistics education research: methodological problems and possible solutions.In C.Reading (Ed.) Proceedings of the 8th International Conference on the Teaching of Statistics, Ljubljana, Solvenia: International Statistical Institute and International Association for Statistical Education. Available from |
| [46] | Http://Www.Stat.Auckland.Ac.Nz/~Iase/Publications |
| [47] | Sharma, S. (1997). Statistical ideas of high school students: Some findings from Fiji. Unpublished doctoral thesis. Wai-kato University, Hamilton, New Zealand |
| [48] | Shaughnessy, J. M.(2007). Research on statistics learning and reasoning.In F. K. Lester(, Jr Ed.), Second Handbook of Research on Mathematics Teaching and Learning (pp 957-1009). Reston: The National Council of Teachers of Mathe-matics. |
| [49] | Shaughnessy, J. M. (1992). Research in probability and statistics: Reflections and directions. In D. Grouws (Ed) Handbook of research on mathematics teaching and learn-ing(pp. 465-494). New York: Macmillan. |
| [50] | Silver, E. S. (2004) Ella minnow pea: An allegory for our times? Journal for Research inMathematics Education, 35(3), 154–156. |
| [51] | Simon, M. A. (2004). Raising issues of quality in mathemat-ics education research.Journal for Research in Mathematics Education, 35(3), 157–163. |
| [52] | Watson, J. M. (2002). Doing research in statistics education: More than just data. The Sixth International Conference in Teaching Statistics (ICOTS 6). Cape Town: South Africa. |
| [53] | Watson, J. M. &Callingham R. (2003). Statistical literacy: A complex hierarchical construct. Statistics Education Research Journal, 2(2), 3-46. |
| [54] | Yin, R. K. (2003). Applications of case study research (2nd ed.). Thousand Oaks, CA: Sage. |
APA Style
Sashi Sharma. (2013). Qualitative Approaches in Mathematics Education Research: Challenges and Possible Solutions. Education Journal, 2(2), 50-57. https://doi.org/10.11648/j.edu.20130202.14
ACS Style
Sashi Sharma. Qualitative Approaches in Mathematics Education Research: Challenges and Possible Solutions. Educ. J. 2013, 2(2), 50-57. doi: 10.11648/j.edu.20130202.14
AMA Style
Sashi Sharma. Qualitative Approaches in Mathematics Education Research: Challenges and Possible Solutions. Educ J. 2013;2(2):50-57. doi: 10.11648/j.edu.20130202.14
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Download@article{10.11648/j.edu.20130202.14,
author = {Sashi Sharma},
title = {Qualitative Approaches in Mathematics Education Research: Challenges and Possible Solutions},
journal = {Education Journal},
volume = {2},
number = {2},
pages = {50-57},
doi = {10.11648/j.edu.20130202.14},
url = {https://doi.org/10.11648/j.edu.20130202.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.edu.20130202.14},
abstract = {Despite being relatively new in mathematics education research, qualitative researchapproaches need special attention as attempts are being made to enhance the credibility and trustworthiness of this approach. It is important that researchers are aware of the limitations associated with these methods so that measures are put in place to try and minimize the effects of these limitations Philosophical roots and key features of this paradigm are outlined. Qualitative methods such as the interview approach in research literature as a data gathering tool are considered next. Challenges faced by qualitative researchers in terms of reliability, validity and generability are considered. Examples are provided to illustrate methodological problems and solutions related to qualitative methods.},
year = {2013}
}
TY - JOUR T1 - Qualitative Approaches in Mathematics Education Research: Challenges and Possible Solutions AU - Sashi Sharma Y1 - 2013/03/10 PY - 2013 N1 - https://doi.org/10.11648/j.edu.20130202.14 DO - 10.11648/j.edu.20130202.14 T2 - Education Journal JF - Education Journal JO - Education Journal SP - 50 EP - 57 PB - Science Publishing Group SN - 2327-2619 UR - https://doi.org/10.11648/j.edu.20130202.14 AB - Despite being relatively new in mathematics education research, qualitative researchapproaches need special attention as attempts are being made to enhance the credibility and trustworthiness of this approach. It is important that researchers are aware of the limitations associated with these methods so that measures are put in place to try and minimize the effects of these limitations Philosophical roots and key features of this paradigm are outlined. Qualitative methods such as the interview approach in research literature as a data gathering tool are considered next. Challenges faced by qualitative researchers in terms of reliability, validity and generability are considered. Examples are provided to illustrate methodological problems and solutions related to qualitative methods. VL - 2 IS - 2 ER -
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