Measurement of Essential Skills in Mathematics: A Comparative Analysis of SSC (Grade-X) and GCE (O-Level) Exam Papers

Authors

  • Muhammad Akhtar Hamdard University
  • Ahmad Saeed Hamdard University

Keywords:

assessment items, cognitive demands, essential skills, intellectual development

Abstract

The major focus of school education is the intellectual development of students and mathematics is a very effective subject in this regard, if taught and assessed properly. For this study, papers of SSC (Grade-10) for the years 2014 and 2015 set by the Board of Secondary Education, Karachi were scrutinized to know if the items of these papers had measured essential mathematical skills or not. These items were then compared with the items set by General Certificate of Education (GCE: O-Level), University of Cambridge Local Examinations Syndicate (UCLES) for mathematics papers, serving as a benchmark for this study to highlight the shortcomings. The results revealed that the items of SSC papers were highly biased towards ‘Factual Knowledge’ and ‘Routine Procedures’. The study concluded that these items assess knowledge of facts and algorithms only and do not measure essential mathematical skills (involvement of higher levels of thinking processes) of students. The study recommends to improve the items of papers so that essential mathematical skills can be measured rather than the capacity of memorization because with this practice, thinking habits cannot be inculcated among students.

References

Amirali, M., & Halai, A. (2010). Teachers’ knowledge about the nature of mathematics: A survey of secondary school teachers in Karachi, Pakistan. Bulletin of Education and Research, 32(2), 45-61.

Arif , M. (2011). Analysis of mathematics curriculum at secondary school level in Pakistan. (Doctoral Thesis). Retrieved from http://eprints.hec.gov.pk/view/subjects/g6.html

Bloom, B., Englehart, M., Furst, E., Hill, W., & Krathwohl, D. (1956). Taxonomy of educational objectives: The classification of educational goals. Handbook I: Cognitive domain. New York: Longmans.

Bruhlmeier, A. (2010). Head, heart and hand; Edn iucation the it spirof Pestalozzi. Cambridge: Sophia Books.

Das, J., Pandey, P., & Zajonc, T. (2006). Learning levels and gaps in Pakistan. Policy, research working paper; no. WPS 4067. Washington, DC: World Bank. Retrieved from http://documents.worldbank.org/curated/en/30010146828919051

D'Souza, S. M., & Wood, L. N. (2003). Designing assessment using the MATH taxonomy. In Annual Conference of the Mathematics Education Research Group Australasia. Deakin University.

Fong, L., & Kaur, B. (2015). A study of mathematics written assessment in Singapore secondary schools. The Mathematics Educator, 16(1), 19-44.

Kayani, M. (2002).A comparative study of secondary and GCE O’ level science education program in Pakistan. (Doctoral Thesis). Retrieved from http://eprints.hec.gov.pk/view/subjects/g6.html

Lianghuo, F. (2004). Improving mathematics teaching and learning through effective classroom assessment: Experiences and perspectives from Singapore schools. National Institute of Education, Nanyany Technological University Singapore. Retrieved from repository.nie.edu.sg/jspui/.../1/CRP24_03FLH_Conf04_Fan.pdf

MOE (2006). National curriculum for mathematics. Islamabad: Ministry of Education, Government of Pakistan. Retrieved from http://bisep.com.pk/downloads/ curriculum/Grades-I-XII/pk_al_mt_2006

Mustafa, J. (2011). Development of integrated activity based mathematics curriculum at secondary level in North West Frontier Province, Pakistan. (Doctoral Thesis). Retrieved from: http://eprints.hec.gov.pk/view/subjects/g6.html

NCERT (2006). Teaching of mathematics. New Delhi: NCERT Publication Department. Race, P. (2005). Making learning happen. London: SAGE.

Sidhu, K. (2008). The teaching of mathematics (4thed.). New Delhi: Sterling Publications.

Smith, G., Wood, L., Coupland, M., Stephenson, B., Crawford, K., & Ball, G. (1996). Constructing mathematical examinations to assess a range of knowledge and skills. International Journal of Mathematical Education in Science and Technology, 27(1), 65-77.

Struyven, K., Dochy, F., & Janssens, S. (2005). Students’ perceptions about evaluation and assessment in higher education: a review. Assessment and Evaluation in Higher Education, 30(4), 325–341.

Tahir, A. (2005). A comparative study of the effect of use of information communication technology in varied teaching approaches on achievement and retention of students of mathematics. (Doctoral Thesis). Retrieved from http://eprints.hec.gov.pk/view/ subjects/g6.html

Taneja, V. (1990). Educational thought and practice. New Delhi: Sterling.

Tayyaba, S. (2010). Mathematics achievement in middle school level in Pakistan: Findings from the first national assessment. International Journal of Educational Management, 24(3), 221–249.

Thompson, T. (2008). Mathematics teachers’ interpretation of higher-order thinking in Bloom’s Taxonomy. International Electronic Journal of Mathematics Education, 3(2), 96-109.

Published

2020-06-30

How to Cite

Akhtar, M. ., & Saeed , A. . (2020). Measurement of Essential Skills in Mathematics: A Comparative Analysis of SSC (Grade-X) and GCE (O-Level) Exam Papers. Journal of Education and Educational Development, 7(1), 103-118. Retrieved from http://jmsnew.iobmresearch.com/index.php/joeed/article/view/13

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Section

Articles