International Science Index


Methodology Issues and Design Approach of VLE on Mathematical Concepts Acquisition within Secondary Education in England


This study used positivist quantitative approach to examine the mathematical concepts acquisition of- KS4 (14-16) Special Education Needs (SENs) students within the school sector education in England. The research is based on a pilot study and the design is completely holistic in its approach with mixing methodologies. The study combines the qualitative and quantitative methods of approach in gathering formative data for the design process. Although, the approach could best be described as a mix method, fundamentally with a strong positivist paradigm, hence my earlier understanding of the differentiation of the students, student – teacher body and the various elements of indicators that is being measured which will require an attenuated description of individual research subjects. The design process involves four phases with five key stages which are; literature review and document analysis, the survey, interview, and observation; then finally the analysis of data set. The research identified the need for triangulation with Reid-s phases of data management providing scaffold for the study. The study clearly identified the ideological and philosophical aspects of educational research design for the study of mathematics by the special education needs (SENs) students in England using the virtual learning environment (VLE) platform.

[1] M. Denscombe, "UHI Millennium Institute; UHI Handbook for Postgraduate students", 2003, (Available online) Accessed: 27th. May 2009
[2] Compact Oxford English Dictionary of Current English (2008) "Content and Graphics" ┬® Copyright, Oxford University Press, 2010
[3] J. McNiff, "Action Research: Principles and Practice", ,London and New York: Routledge-Falmer, (2002), Chapter 2
[4] C. Opie, "Doing Educational Research: A Guide to First Time Researchers", Sage Publications, London: Thousand Oaks, New Delhi 2004, Chapter 1
[5] G. Hitchcock, and D. Hughes "Research and the Teacher: A Qualitative Introduction to School-based Research", 2nd ed. London: Routledge, 1995, chapter 3, Reprinted 1997, 1999, 2001 by Routledge-Falmer.
[6] L Dirckinck-Holmfeld, "Designing Virtual Learning Environments Based on Problem Oriented Project Pedagogy". In L. Dirckinck- Holmfeld and B. Fibiger. Learning in Virtual Environments Frederiksberg C, Samfundslitteratur Press. 2002
[7] E. D. Gray, "Doing research in the real world" SAGE publications, London: 2004, Thousand Oaks.
[8] W. H. N. Blaikie, "Approaches to social enquiry". Blackwell Publishers Ltd, Oxford, UK: 2003
[9] I Newman, and C. Benz, "Qualitative-Quantitative Research Methodology: Exploring the Interactive Continuum", Southern Illinois: University Press, 1998.
[10] W. J. Creswell. "Research Design, Qualitative Quantitative and Mixed Methods Approaches". Third Edition. Sage, London: 2009
[11] A. Dilanthi, B. David S., Marjan and N. Rita), "Quantitative and qualitative research in the built environment: application of "mixed" research approach". Work Study 51:1, 17 2002
[12] G. Cupchik, "Constructivist realism: an ontology that encompasses positivist and constructivist approaches to social sciences", 2001,
[Available online]: . Accessed: 14th April 2010
[13] M. Saunders, P Lewis, and A. Thornhill, "Research Methods for Business Students" (2e). England: Pearson Education Limited. 2007
[14] J Giordano, M. O'Reilly, H. Taylor, and N. Dogra, "Confidentiality and Autonomy: The Challenge(s) of Offering Research Participants a Choice of 190" Disclosing Their Identity Qual. Health Res.2007, February 1, 2007; 17(2): 264 -275.
[15] J. Bell, (2005),"Doing your Research Project-Guide for First-Time Researchers in Education and Social Science" Buckingham: Fourth Edition, Open University Press, 2005, p81
[16] M. De Laine, "Fieldwork, participation and practice: Ethics and dilemmas in qualitative research London: Sage Publication. 2000.
[Available online] Accessed 12 MAY 2010
[17] C. Frankfort-Nachmias, & D. Nachmias, "Research methods in the social sciences (4th ed.). New York: St. Martin's Press1992
[18] H. Simons, & R.Usher, (Eds.) situated ethics in educational research. New York: Routledge, 2000 (LB1028.S514) (Available online) . Accessed 27 May 2010
[19] S. L. Payne, "Challenges for Research Ethics and Moral Knowledge Construction in the Applied Social Sciences". Journal of Business Ethics, Volume 26, Number4 August, 2000. Springer, Netherlands: 2000
[20] W. Borg, & M. Gall, "Educational research: An introduction". (Sixth edition). New York: Longman 1996.
[21] D. Morrison, "Multivariate Statistical Methods", New York: McGraw- Hill, 1993
[22] R. V. Krejcie, & D. W. Morgan, "Determining sample size for research activities. Educational and Psychological Measurement", 30, 607-610. 1970, (Available online) esize.htm Accessed: 19th April 2010
[23] B R. Johnson, & L. Christiansen, "Educational Research: Quantitative and Qualitative approaches". Needham, MA, USA: Allyn and Bacon. 2000, (Available online) chapter7composer.html Accessed 10. November 2009.
[24] H. Olson, "Quantitative vs. Qualitative Research: The wrong Question".2000,.(Available online) Accessed 27 April 2010
[25] J. B. Wilson, S. M. Natale, "Quantitative" and "qualitative" research: An analysis". International Journal of Value-Based Management, Volume 14, Number 1, 1 2001, pp. 1-10(10) Springer 2001. (Available online) Accessed 21 March 2010
[26] T. O-Donoghue, & K. Punch, (Eds.), "Qualitative research in action: Doing and reflecting". London: 2003, Routledge-Falmer.
[27] Ofsted, "Virtual learning environments: an evaluation of their development in a sample of educational settings", 2009. Reference No 0070251. (Available online) Accessed 2nd. March 2010.
[28] N. Sclater "Principles for future VLE/LMS development" 2009. (Available online) Accessed 15th April 2010
[29] D. Hassell "Personalised learning and content: Transforming learning and teaching with ICT, 2006. (Available online) may/industry_partner_seminar_may06/personalising_may2006.pdf Accessed 07th May 2010
[30] J. Underwood, T. Baguley, P. Banyard, E. Coyne, L.F. Flint and I. Selwood, "Impact 2007: Personalising learning with technology. 2007 (Available online) rid=1402 Accessed 21st March 2010
[31] G. Morris, A. Bell, "Engaging professional learning in online environment". Australian Journal of Educational Technology, 2009, 25(5), 700-713. (Available online) Accessed 27th March 2010
[32] F. Podoski, "21st century Learning: Making Technology relevant in Today-s Classrooms" T.H.E Journal, 2008. (Available online) relevant-in-todays-classrooms.aspx Accessed 24th. March 2010.
[33] L. Cohen, L. Manion, and K. Morrison, Education Research Methods, (2002),
[34] J. Milne, "Questionnaires: Advantages and Disadvantages" (1999),
[Available online] Accessed 15 April 2010
[35] L. Cohen, L. Manion, and K. Morrison, "Research Methods in Education" (2004), (Available online) cohen-lawrence-manion-keith-morrison.jsp Accessed 27 May 2010
[36] D. Hopkins, "A teacher-s guide to Classroom Research, Maidenhead" Open University Press, 2002
[37] C. T. Diebold, G. Miller, L. K. Gensheimer, E. Mondschein, & H. Ohmart, "Building an intervention: A theoretical and practical infrastructure for planning, implementing, and evaluating a metropolitan-wide school-to-career initiative", Journal of Educational and Psychological, Consultation, 2000, 11 (1), 147-172.
[38] J. C. Turner, & D. K. Meyer, "Studying and understanding the instructional contexts of classrooms: Using our past to forge our future" Educational Psychologist, 2000, 35 (2), 69-85.
[39] G. Nuthall, "Relating classroom teaching to student learning: A critical analysis of why research has failed to bridge the theory-practice gap". Harvard Educational Review, 74:273-30 2004) (Available online) Accessed 15th June 2010
[40] S. Stringfield, and C. Teddie "The multiple roles of N.L. Gage in the creation of educational effectiveness fields. Teaching and Teacher education, V20. Issue. No. 4, May 2004, pages 397-404.
[41] W. Huitt, (2006), "Summary of theories relating to learning and development. Educational Psychology Interactive". Valdosta, GA: Valdosta State University, 2006. (Available online) Accessed 27 March 2010.
[42] A. Reid, "Computer management strategies for text data" in B. F. Crabtree and W.L. Miller (Ed.), doing qualitative research, Vol 3. London: Sage, 1992