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

Dr. Muhammad Akhtar Kang, Dr. Ahmad Saeed

Abstract


The basic aim of any education system is the development of overall personality of a child but major focus of school education remains on the intellectual development of students. Mathematics is a compulsory subject in the school curriculum and is very effective in cognitive development, but, it does so if taught and assessed properly. SSC exams are very important for students as they are gauged on the basis of their results in these exams. Due to the importance of these exams, the major focus of teaching/learning process in the schools remains on achieving the highest possible grades in the exams. It is therefore, very important to have a deep investigation of the exam papers in order to know weather the items of these papers are measuring essential mathematical skills or not. To achieve the purpose, this study has scrutinized the papers of SSC (Grade-10) for the years 2014/2015, set by Board of Secondary Education Karachi. Items used in these papers were examined and categorized according to the levels of Mathematical Assessment Task Hierarchy (MATH) taxonomy. These items were then compared with the items of GCE (O-Level) mathematics papers, serving as benchmark papers in this study, to highlight the shortcomings. The results of the study revealed that the items of SSC papers are highly biased towards A1 (Factual Knowledge) and A2 (Routine Procedures) categories of the taxonomy. 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. As, the papers of board exams highly affect teaching/learning process, it is recommended to improve the items of papers so that essential mathematical skills can be measured. The study recommends focusing on application and problem solving skills rather than the capacity of memorization because with this practice thinking habits can not be inculcated among students which are necessary to compete with other nations in this era of globalization.


Keywords


assessment items, cognitive demands, essential skills, intellectual development

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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; Education in the spirit of 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.




DOI: http://dx.doi.org/10.22555/joeed.v7i1.2661

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License