STUDENTS' PERCEPTIONS OF STATISTICS: AN EXPLORATION OF ATTITUDES, CONCEPTUALIZATIONS, AND CONTENT KNOWLEDGE OF STATISTICS

 

MARJORIE E. BOND

Monmouth College

mebond@monmouthcollege.edu

 

SUSAN N. PERKINS

Northwest Nazarene University

sperkins@nnu.edu

 

CAROLINE RAMIREZ

University of the Pacific

caaramirez@aol.com

 

ABSTRACT

 

Although statistics education research has focused on students' learning and conceptual understanding of statistics, researchers have only recently begun investigating students' perceptions of statistics. The term perception describes the overlap between cognitive and non-cognitive factors. In this mixed-methods study, undergraduate students provided their perceptions of statistics and completed the Survey of Students' Attitudes Toward Statistics-36 (SATS-36). The qualitative data suggest students had basic knowledge of what the word statistics meant, but with varying depths of understanding and conceptualization of statistics. Quantitative analysis also examined the relationship between students' perceptions of statistics and attitudes toward statistics. We found no significant difference in mean pre- or post-SATS scores across conceptualization and content knowledge categories. The implications of these findings for education and research are discussed.

 

Keywords: Statistics education research; SATS-36; Student attitudes; Conception of statistics

__________________________

Statistics Education Research Journal, 11(2), 6-25, http://www.stat.auckland.ac.nz/serj

(c) International Association for Statistical Education (IASE/ISI), November, 2012

REFERENCES

 

Ben-Zvi, D., & Garfield, J. B. (2004). Statistical literacy, reasoning, and thinking: Goals, definitions, and challenges. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 3-15). Dordrecht, The Netherlands: Kluwer Academic Publishers.

Bond, M. E., Schau, C., Pierce, R. L., and Schou, S. (2008). Research using the Survey of Attitudes Toward Statistics (SATS). Proceedings of the Section on Statistical Education, 2008 Joint Statistical Meetings (pp. 3750-3763). Alexandria, VA: American Statistical Association.

Carlson, K. A., & Winquist, J. R. (2011). Evaluating an active learning approach to teaching introductory statistics: A classroom workbook approach. Journal of Statistics Education, 19(1), 1-23.

[Online: http://www.amstat.org/publications/jse/v19n1/carlson.pdf ]

Carnell, L. J. (2008). The effect of a student-designed data collection project on attitudes toward statistics. Journal of Statistics Education, 16(1).

[Online: http://www.amstat.org/publications/jse/v16n1/carnell.html ]

Chiesi, F., & Primi, C. (2010). Cognitive and non-cognitive factors related to students' statistics achievement. Statistics Education Research Journal, 9(1), 6-26.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ9%281%29_Chiesi_Primi.pdf ]

Cobb, G.. (1992). Teaching statistics. In L. A. Steen (Ed.) Heeding the call for change: Suggestions for currricular action (MAA Notes No. 22, pp. 3-43). Washington, DC: Mathematical Association of America.

Cobb, G., & Moore, D. S. (1997). Mathematics, statistics, and teaching. American Mathematical Monthly, 104(9), 801-823.

Coetzee, S., & Van der Merwe, P. (2010). Industrial psychology students' attitudes towards statistics. SA Journal of Industrial Psychology, 36(1).

[Online: http://www.sajip.co.za/index.php/sajip/article/viewPDFInterstitial/868/873 ]

Creswell, J. W. (1998). Qualitative inquiry and research design: Choosing among five traditions. Thousand Oaks, CA: Sage.

Dauphinee, T. L., Schau, C., & Stevens, J. J. (1997). Survey of Attitudes Toward Statistics: Factor structure and factorial invariance for women and men. Structural Equation Modeling, 4(2), 129-141.

delMas, R. (2004). A comparison of mathematical and statistical reasoning. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 79-95). Dordrecht, The Netherlands: Kluwer Academic Publishers.

delMas, R. (2011, May). It takes a village: Future directions for statistics education research. Paper presented at the USCOTS 2011: The Next BIG Thing, Raleigh-Durham, NC.

Dempster, M., & McCorry, N. K. (2009). The role of previous experience and attitudes toward statistics in statistics assessment outcomes among undergraduate psychology students. Journal of Statistics Education, 17(2).

[Online: http://www.amstat.org/publications/jse/v17n2/dempster.html ]

DeVeaux, R. D., & Velleman, P. F. (2008). Math is music; statistics is literature (Or, why are there no six-year-old novelists). AMSTATNEWS, 54-58.

Evans, B. (2007). Student attitudes, conceptions, and achievement in introductory undergraduate college statistics. The Mathematics Educator, 17(2), 24-30.

[Online: http://math.coe.uga.edu/tme/issues/v17n2/v17n2.pdf ]

Gal, I., Ginsburg, L., & Schau, C. (1997). Monitoring attitudes and beliefs in statistics education. In I. Gal & J. B. Garfield (Eds.), The assessment challenge in statistics education (pp. 37-51). Amersterdam: IOS Press.

[Online: http://www.stat.auckland.ac.nz/~iase/publications/assessbk/chapter04.pdf ]

Gal, I. (2002). Adults' statistical literacy: meanings, components, responsibilities. International Statistical Review, 70(1), 1-51.

Garfield, J. B., & Gal, I. (1999). Teaching and assessing statistical reasoning. In L. V. Stiff & F. R. Curcio (Eds.), Developing mathematical reasoning in grades K-12: 1999 Yearbook. (pp. 207-220). Reston, VA: National Council of Teachers of Mathematics.

Gordon, S. (2004). Understanding students' experiences of statistics in a service course. Statistics Education Research Journal, 3(1), 40-59.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ3%281%29_gordon.pdf ]

Groth, R. E. (2010). Situating qualitative modes of inquiry within the discipline of statistics education research. Statistics Education Research Journal, 9(2), 7-21.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ9%282%29_Groth.pdf ]

Guba, E. G., & Lincoln, Y. S. (1981). Effective evaluation: Improving the usefulness of evaluation results through responsive and naturalistic approaches. San Francisco, CA: Jossey-Bass.

Higgins, J. J. (1999). Nonmathematical statistics: A new direction for the undergraduate discipline. The American Statistician, 53(1), 1-6.

Hilton, S. C., Schau, C., & Olsen, J. A. (2004). Survey of Attitudes Toward Statistics: Factor structure invariance by gender and by administration time. Structural Equation Modeling, 11(1), 92-109.

Kalinowski, P., Lai, J., Fidler, F., & Cumming, G. (2010). Qualitative research: An essential part of statistical cognition research. Statistics Education Research Journal, 9(2), 22-34.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ9%282%29_Kalinowski.pdf ]

Kazdin, A. E. (1998). Research design in clinical psychology (3rd ed.). Boston: Allyn and Bacon.

Maxwell, J. A. (1998). Designing a qualitative study. In L. Bickman & D. J. Rog (Eds.), Handbook of applied social research methods (pp. 69-100). Thousand Oaks, CA: Sage.

Merriam, S. (1998). Qualitative research and case study applications in education. San Francisco, CA: Jossey-Bass Publishers.

Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis (2nd ed.). Newbury Park, CA: Sage.

Moore, D. (1997). New pedagogy and new content: The case of statistics. International Statistical Review, 65(2), 123-165.

Patton, M. Q. (2005). Qualitative research. In B. Everitt & D. Howell (Eds.), Encyclopedia of statistics in behavioral science. New York: Wiley & Sons.

Posner, M. A. (2011). The impact of a proficiency-based assessment and reassessment of learning outcomes system on student achievement and attitudes. Statistics Education Research Journal, 10(1), 3-14.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ10%281%29_Posner.pdf ]

Reading, C., & Shaughnessy, J. M. (2004). Reasoning about variation. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 201-226). Dordrecht, The Netherlands: Kluwer Academic Publishers.

Reid, A., & Petocz, P. (2002). Students' conceptions of statistics: A phenomenographic study. Journal of Statistics Education, 10(2).

[Online: http://www.amstat.org/publications/jse/v10n2/reid.html ]

Rossman, A., Chance, B., & Medina, E. (2006). Some important comparisons between statistics and mathematics, and why teachers should care. In G. F. Burrill & P. C. Elliott (Eds.), Thinking and reasoning with data and chance (pp. 323-334). Reston, VA: National Council of Teachers of Mathematics.

Rossman, G. B., & Rallis, S. F. (2003). Learning in the field: An introduction to qualitative research (2nd ed.). Thousand Oaks, CA: Sage.

Schau, C. (1992). Survey of Attitudes Toward Statistics (SATS-28).

[Online: http://evaluationandstatistics.com/ ]

Schau, C. (2003a). Survey of Attitudes Toward Statistics (SATS-36).

[Online: http://evaluationandstatistics.com/ ]

Schau, C. (2003b, August). Students' attitudes: The "other" important outcome in statistics education. Paper presented at the Joint Statistical Meetings, San Francisco, CA.

[Online: http://evaluationandstatistics.com/JSM2003.pdf ]

Schau, C., & Emmioğlu, E. (2012). Do introductory statistics courses in the united states improve students' attitudes?. Statistics Education Research Journal, 11(2), 70-79.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ11%282%29_Schau.pdf ]

Schau, C., Stevens, J., Dauphinee, T. L., & Del Vecchio, A. (1995). The development and validation of the Survey of Attitudes Toward Statistics. Educational and Psychological Measurement, 55, 868-875.

Sorge, C., & Schau, C. (2002, April). Impact of engineering students' attitudes on achievement in statistics. Paper presented at the American Educational Research Association. New Orleans, LA.

[Online: http://evaluationandstatistics.com/AERA2002.pdf ]

Tempelaar, D. T., Gijselaers, W. J., Schim van der Loeff, S., & Nijhuis, J. F. H. (2007). A structural equation model analyzing the relationship of student achievement motivations and personality factors in a range of academic subject-matter areas. Contemporary Educational Psychology, 32(1), 105-131.

Tempelaar, D. T., Schim van der Loeff, S., & Gijselaers, W. H. (2007). A structural equation model analyzing the relationship of students' attitudes toward statistics, prior reasoning abilities, and course performance. Statistics Education Research Journal, 6(2), 78-102.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ6%282%29_Tempelaar.pdf ]

Utts, J. (2003). What educated citizens should know about statistics and probability. The American Statistician, 57(2), 74-79.

Vanhoof, S., Kuppens, S., Sotos, A. E. C., Verschaffel, L., & Onghena, P. (2011). Measuring statistics attitudes: Structure of the Survey of Attitudes Toward Statistics (SATS-36). Statistics Education Research Journal, 10(1), 35-51.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ10%281%29_Vanhoof.pdf ]

Wallman, K. S. (1993). Enhancing statistical literacy: Enriching our society. Journal of the American Statistical Association, 88(421), 1-8.

Watson, J. M. (1997). Assessing statistical thinking using the media. In I. Gal & J. B. Garfield (Eds.), The assessment challenge in statistics education. Amsterdam: IOS Press.

[Online: http://www.stat.auckland.ac.nz/~iase/publications/assessbk/chapter09.pdf ]

Watson, J., & Callingham, R. (2003). Statistical literacy: A complex hierarchical construct. Statistics Education Research Journal, 2(2), 3-46.

[Online: http://www.stat.auckland.ac.nz/~iase/serj/SERJ2%282%29_Watson_Callingham.pdf ]

 

MARJORIE E. BOND

Department of Mathematics and Computer Science

Monmouth College

Monmouth, IL 61462