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JOURNALS || ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS) [ISSN: 2455-7064 ]
AN INVESTIGATION ON THE CONCEPTUAL UNDERSTANDING OF THE STANDARD DEVIATION OF FRESH UNDERGRADUATE STUDENTS

Author Names : Armah Gloria
Page No. : 01-09  volume 1 Issue 3
Article Overview

ARTICLE DESCRIPTION: 

Armah Gloria, Asiedu-Addo Samuel Kwesi, Owusu-Ansah Nana Akosua, An Investigation on the Conceptual Understanding of the Standard Deviation of Fresh Undergraduate Students, ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 2016, 1(3): 01-09.

ARTICLE TYPE: Research

dids/doi No.: 03.2016-26169319

dids link:  http://doi-ds.org/doilink/07.2016-84146455/ 


ABSTRACT:  

This study investigated and evaluated Ghanaian fresh undergraduate students’ conceptual understanding of the standard deviation based on their knowledge gained from the Ghanaian Senior High School (SHS) core and elective mathematics curricula. This study was performed by grouping three consecutive batches of fresh undergraduate students of the Department of Mathematics Education of the University of Education, Winneba, Ghana and cumulative results were collected and interpreted by proper survey among them. Though a test item was the main instrument for collecting data, student’s responses were not scored quantitatively. Only the themes running through students’ responses were of interest to the researcher. Results indicated that fresh undergraduate students do not have a conceptual understanding of the standard deviation.

Key words: Variation, Conceptual Understanding, Standard Deviation, Statistics

Reference
  1. J. Garfield, and D. Ben-Zvi, A framework for teaching and assessing reasoning about variability. Statistics Education Research Journal, 2005, 4(1), 92 – 99.
  2. C. J. Wild, and M. Pfannkuch, Statistical thinking in empirical inquiry. International Statistical Review, 1999, 67(3), 223-265.
  3. R. D. Snee, Discussion: Development and use of statistical thinking: a new era. International Statistical Review, 1999, 67(3), 255-258.
  4. M. F. Al-Saleh, and A. E. Yousif, Properties of the standard deviation that are rarely mentioned in classrooms. Austrian Journal of Statistics, 2009, 38(3), 193–202.
  5. C. Reading, and J. M. Shaughnessy, Reasoning about variation. In D. Ben-Zvi & J. Garfield (Ed.), The challenge of developing statistical literacy, reasoning, and thinking,(Dordrecht, the Netherlands: Kluwer Academic Publishers, 2004) 201-226.
  6. J. Garfield, and D. Ben-Zvi, Developing students’ statistical reasoning: Connecting research and teaching practice (New York, Springer, 2008). 
  7. D. Bramwell, The perverse nature of standard deviation. 2004, Retrieved from https://www.shootingsoftware.com/ftp/Perverse%20Nature%20of%20SD.pdf. Last accessed 12th April, 2016.
  8. Curriculum Research and Development Division (CRDD), National syllabus for mathematics (Primary School 1 - 6) (Accra: Ministry of Education, 2012). 
  9. Curriculum Research and Development Division (CRDD), National syllabus for mathematics (Junior High School 1 - 3) (Accra: Ministry of Education, 2012).
  10. Curriculum Research and Development Division (CRDD), Teaching syllabus for core mathematics (Senior High School) (Accra: Ministry of Education, 2010).
  11. Curriculum Research and Development Division (CRDD), Teaching syllabus for senior high school elective mathematics (Accra: Ministry of Education, 2010).
  12. J. K. Mensah, M. Okyere and A .Kuranchie, Student attitude towards mathematics and performance: Does the teacher attitude matter? Journal of Education and Practice.2013, 4(3), 132 – 139.
  13. P. Appiahene, M. Opoku, E. Akweittey, E. Adoba, and R. Kwarteng, Assessing the challenges of learning and teaching of mathematics in second cycle institutions in Ghana. International Journal of Innovation and Applied Studies, 2014, 6(3), 362-368.
  14. J. Anamuah-Mensah, and D. K. Mereku, Ghanaian JSS2 students’ abysmal mathematics achievement in TIMSS - 2003: A consequence of the basic school mathematics curriculum. Paper presented at the West African Examinations Council (WAEC) Monthly Seminar, at WAEC Conference Hall, Accra, May 27, 2005.
  15. J. Anamuah-Mensah, D. K. Mereku, and J. Ghartey-Ampiah, TIMSS 2007 Ghana report: Findings from IEA’s Trends in International Mathematics and Science Study at the eighth grade (Accra: Ministry of Education, 2008).
  16. S. Ntim, The gap in reading and mathematics achievement between basic public schools and private schools in two administrative regions of Ghana: Where to look for the causes. American International Journal of Contemporary Research, 2014, 4(7), 109-119.
  17. D. F. Halpern, and M. D. Hakel, Applying the science of learning to the university and beyond: Teaching for long-term retention and transfer. Change, 2003, July/August, 36–41. Retrieved from https://www.education.psu.edu/drupal6/files/sgam/GOOD_applyingthesciencechange.pdf. Last accessed 17th June, 2016.
  18. D. Mathews, and J. M. Clark, Successful students’ conception of mean, standard deviation, and the central limit theorem. 2007, Retrieved from http://www1.hollins.edu/faculty/clarkjm/stats1.pdf
  19. J. Day, H. Nakahara, and D, Bonn, Teaching standard deviation by building from student invention. The Physics Teacher, 2010, 48, 546-548.
  20. M. Turegun, A model for developing and assessing community college students’ conceptions of the range, interquartile range, and standard deviation. Unpublished Doctoral Dissertation.2011, Retrieved from http://iaseweb.org/documents/dissertations/11.Turegun.Dissertation.pdf. Last accessed 1st April, 2016.
  21. G, Armah, and S. K. Asiedu-Addo, Ghanaian students’ knowledge of the averages after senior high education. Researchjournali’s Journal of Mathematics, 2014, 1(4), 1-12.
  22. J. M. Shaughnessy, (1997). Missed opportunities in research on the teaching and learning of data and chance. In F. Bidulph & K. Carr (Ed.), Proceedings of the twentieth annual conference of the mathematics education research group of Australasia, (Rotorua, N.Z.: University of Waikata, 1997) 6-22.
  23. V. Dubreil-Frémont, C. Chevallier-Gaté, and N. Zendrera, Students’ conceptions of average and standard deviation. Paper presented at The Ninth International Conference on Teaching Statistics (ICOTS 9). Arizona, USA, 2014, Retrieved at http://icots.info/9/proceedings/pdfs/ICOTS9_C142_DUBREILFREMONT.pdf. Last accessed 17th June, 2016.
  24. D. L. Trumpower, Computational accuracy and conceptual understanding of statistics: Effects of thinking before plugging and chugging. Proceedings of the 26th Annual Conference of the Cognitive Science Society, 1646, Chicago, Illinois, 2004.