Interactions among knowledge, beliefs, and goals in framing a qualitative study in statistics education

Journal of Statistics Education

Volumn 18, Issue 1, 2010, Pages 1-13

  Groth, Randall E ^a  

^a SALISBURY UNIVERSITY   (United States)

Author keywords

Qualitative research; Research methodology; Teacher education

Indexed keywords

EID: 77955502822     PISSN: None     EISSN: 10691898     Source Type: Journal    
DOI: 10.1080/10691898.2010.11889475     Document Type: Article

References (30)

1. nd ed.). Mahwah, NJ: Erlbaum.
2. Ben-Zvi, D., Garfield, J.B., and Zieffler, A. (2006), "Research in the Statistics Classroom: Learning from Teaching Experiments." In G.F. Burrill and P.C. Elliot (Eds.), Thinking and Reasoning with Data and Chance: Sixty-eighth Annual Yearbook of the National Council of Teachers of Mathematics. Reston, VA: National Council of Teachers of Mathematics.
3. Cobb, P. (2000), "Conducting Teaching Experiments in Collaboration with Teachers." In A.E. Kelly and R.A. Lesh (Eds.), Handbook of Research Design in Mathematics and Science Education. Mahwah, NJ: Erlbaum.
4. Conference Board of the Mathematical Sciences. (2001), The Mathematical Education of Teachers. Providence, RI: American Mathematical Society.
5. rd ed.). Thousand Oaks, CA: Sage.
6. Cronbach, L.J. (1975), "Beyond the Two Disciplines of Scientific Psychology," American Psychologist 30, 116-127.
7. rd ed.). Thousand Oaks, CA: Sage.
8. Eisner, E.W. (1998), The Enlightened Eye: Qualitative Inquiry and the Enhancement of Educational Practice. Upper Saddle River, NJ: Prentice-Hall.
9. Franklin, C.A., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M., and Scheaffer, R. (2007), Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A Pre-K-12 Curriculum Framework. Alexandria, VA: American Statistical Association. (Also available at http://www.amstat.org/)
10. Friel, S.N., O'Connor, W., and Mamer, J.D. (2006), "More than "Meanmedianmode' and a Bar Graph: What's Needed to Have a Statistical Conversation?" In G.F. Burrill and P.C. Elliot (Eds.), Thinking and Reasoning with Data and Chance: Sixty-eighth Annual Yearbook of the National Council of Teachers of Mathematics. Reston, VA: National Council of Teachers of Mathematics.
11. Gal, I. (2007), "Editorial," Statistics Education Research Journal 6 (2), 2-3. http://www.stat.auckland.ac.nz/~iase/serj/SERJ6(2)_editorial.pdf.
12. Gentner, D., and Holyoak, K.J. (1997), "Reasoning and Learning by Analogy," American Psychologist 52, 32-34.
13. Glynn, S. M. (1991), "Explaining Science Concepts: A Teaching-with-Analogies Model." In S. M. Glynn, R. H. Yeany, and B. K. Britton (Eds.), The Psychology of Learning Science. Hillsdale, NJ: Lawrence Erlbaum Associates.
14. Groth, R.E., and Bergner, J.A. (2005), "Preservice Elementary School Teachers' Metaphors for the Concept of Statistical Sample." Statistics Education Research Journal 4 (2), 27-42. http://www.stat.auckland.ac.nz/~iase/serj/SERJ4(2)_groth_bergner.pdf
15. Jacobs, V.R. (1999), "How do Students Think about Statistical Sampling before Instruction?" Mathematics Teaching in the Middle School 5, 240-263.
16. Ma, L. (1999), Knowing and Teaching Elementary Mathematics. Mahwah, NJ: Lawrence Erlbaum Associates.
17. Martin, M.A. (2003), "It's Like...You Know: The use of Analogies and Heuristics in Teaching Introductory Statistical Methods." Journal of Statistics Education 11(2). http://www.amstat.org/publications/jse/v11n2/martin.html.
18. Maryland State Department of Education. (2004), Voluntary State Curriculum - Mathematics Grades 3-8. http://mdk12.org/share/vsc/vsc_mathematics_gr38.pdf.
19. Maykut, P., and Morehouse, R. (1994), Beginning Qualitative Research: A Philosophic and Practical Guide. New York: Routledge.
20. National Mathematics Advisory Panel. (2008), Foundations for Success: The Final Report of the National Mathematics Advisory Panel. Washington, D.C.: U.S. Department of Education. (Also available at http://www.ed.gov/about/bdscomm/list/mathpanel/report/final-report.pdf).
21. Presmeg, N.C. (1992), "Prototypes, Metaphors, Metonymies and Imaginative Rationality in High School Mathematics." Educational Studies in Mathematics 23, 595-610.
22. Schoenfeld, A.H. (1998), "Toward a Theory of Teaching-in-Context." Issues in Education 4(1), 1-94.
23. Schoenfeld, A.H. (2000), "Purposes and Methods of Research in Mathematics Education." Notices of the AMS 47, 641-649.
24. Scheaffer, R. L. (2002), "Data Analysis in the K-12 Curriculum: Teaching the Teachers." New England Mathematics Journal 34 (2), 6-25.
25. Scheaffer, R., Smith, W. B. (2007), "Using Statistics Effectively in Mathematics Education Research." Alexandria, VA: American Statistical Association. [Online: http://www.amstat.org/research_grants/pdfs/SMERReport.pdf]
26. Shulman, L.S. (1987), "Knowledge and Teaching: Foundations of the New Reform." Harvard Educational Review 57(1), 1-22.
27. Simon, M. (1995), "Reconstructing Mathematics Pedagogy from a Constructivist Perspective." Journal for Research in Mathematics Education 26(2), 114-145.
28. Stake, R.E., and Trumbull, D.J. (1982), "Naturalistic Generalizations." Review Journal of Philosophy and Social Science 7, 1-12.
29. Steffe, L.P., and Thompson, P.W. (2000). "Teaching Experiment Methodology: Underlying Principles and Essential Elements." In A.E. Kelly & R.A. Lesh (Eds.), Handbook of Research Design in Mathematics and Science Education. Mahwah, NJ: Erlbaum.
30. Watson, J.M. and Moritz, J.B. (2000), "Development of Understanding of Sampling for Statistical Literacy." Journal of Mathematical Behavior 19, 109-136.