Assessing Teachers’ Knowledge in Analysing Errors in Mathematical Word Problems of Ghanaian Primary School Pupils

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DOI: 10.21522/TIJAR.2014.09.03.Art004

Authors : Stella Sitsofe Yawa Asase, Jackson Jessel Aboagye-Agbi, Patrick Kwame Babah


The survey investigated teacher knowledge in analysing pupils’ wrong answer solutions in mathematical problem-solving. A sample of 205 pupils and teachers from 35 Islamic primary schools in the Greater Accra Region of Ghana were surveyed. The teachers were sampled through quota sampling, while the pupils were selected via stratified random sampling. A questionnaire and achievement test were used for the survey. Frequency count, percentage, and chi-square test were used as statistical tools for data analysis. The study found that the majority (71.4%) of the primary school teachers in the Greater Accra Region had difficulty preparing a good marking scheme. Also, more than 60% of the teachers were unable to identify and analyse the errors of pupils as well as communicate feedback on the errors. The study found no statistically significant association between knowledge of error analysis and analysing wrong answer solutions (p>0.05). This study concluded that most primary school teachers in the Greater Accra Region of Ghana do not have enough knowledge in analysing mathematical wrong answer solutions of pupils by using Newman’s model synthesis. It is recommended that mathematics teachers in Ghanaian basic schools should use Newman’s model as a standard method of analysing pupils’ work. For this reason, Ghana Education Service, Ghanaian universities, and colleges of education should include Newman’s model during the training of mathematics teachers.
Keywords: Achievement test, Mathematical word problem, Newman’s model, Wrong answer analysis.


[1]National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

[2]Springer, T. A. (2007). Linear algebraic groups (2nd). Boston: Birkhäuser.

[3]Gervasoni, A., Hadden, T., & Turkenburg, K. (2007). Exploring the number knowledge of children to inform the development of a professional learning plan for teachers in the Ballarat diocese as a means of building community capacity. In J. Watson & K. Beswick Gervasoni, A., Hadden, T., & Turkenburg, K. (Eds.), Mathematics: Essential research, essential practice (pp. 305-314). Hobart, Australasia: MERGA Education Research Group.

[4]Ministry of Education (2001). Mathematics syllabus for primary schools. Accra: Ministry of Education, Ghana.

[5]West African Examination Council (2008). Basic Education Certificate Examination Chief Examiners Report. Accra: West African Examination Council.

[6]Newman, M. A. (1977). An analysis of sixth-grade pupils’ errors on written mathematical tasks. Victorian Institute for Educational Research Bulletin, 39, 31-43.

[7]Adler, J., & Ball, D. (2009). Mathematical knowledge for teaching. Retrieved on October 9, 2021, from

[8]Cross, D. I. (2008). Creating optimal mathematics learning environments: Combining argumentation and writing to enhance achievement. International Journal of Science and Mathematics Education, 7(5), 905-930.

[9]Adler, J., & Davis, Z. (2006). Opening another black box: Researching mathematics for teaching in mathematics teacher education. Journal for Research in Mathematics Education, 37(4), 270-296.

[10]Berk, D., Taber, S. B., Gorowara, C. C., & Poetzl, C. (2009). Developing prospective elementary teachers’ flexibility in the domain of proportional reasoning. Mathematical Thinking and Learning, 11, 113–135.

[11]Mueller, M. F., & Maher, C. A. (2009). Convincing and justifying through reasoning. Mathematics Teaching in the Middle School, 15(2), 108-116.

[12]Clements, M. A. (1980). Analyzing children’s errors on written mathematical tasks. Educational Studies in Mathematics, 11(1), 1-21.

[13]Mellin-Olsen, S. (1987). The politics of mathematics education. Dordrechl: Reidel.

[14]Casey, D. P. (1978). Failing students: A strategy of error analysis. In P. Costello (Ed.), Aspects of motivation (pp.295 -306). Melbourne: Mathematical Association of Victoria.

[15]Newman, M. A. (1983). Strategies for diagnosis and remediation. Sydney: Harcourt, Brace Jovanovich.

[16]Lemos, R. (2003). Matrix inequalities in statistical mechanics. Lin. Alg. Appl., 376, 265-273.

[17]Andoh-Kumi, K. (2000). One policy, many needs. A paper presented at the Comparative and International Education Society (CIES) 2000 Conference, San Antonio, USA 4-16 March 2000.

[18]Kaphesi, E. (2001). Improving educational quality project: Effects of home language on pupils’ performance in mathematics: A focus ofleq/Malawi Project IEQ undertaken by: American Institutes for Research in collaboration with The Academy for
Educational Development Center, Inc. Juárez and Associates, Inc. The University of Pittsburgh.

[19]Polya, G. (1973). How to solve it: A new aspect of mathematical method. Princeton, NJ: Princeton University Press.

[20]GES-STME-JICA (2004). Ghana Education Service-Science, Technology, and Mathematics Education-Japanese International Corporation Agency Workshop for Teachers, Accra.

[21]Noraini, I. (1999). Linguistic aspects of mathematical education: How precise do teachers need to be? In M. A. Clemet (Ed), Cultural and language aspects of Science, Mathematics, and technical education (pp. 280-289). Brunei: University Brunei Darussalam.

[22]Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.

[23]Spektor-Levy, O., Eylon, B. S., & Scherz, Z. (2009). Teaching scientific communication skills in science studies: Does it make a difference? International Journal of Science and Mathematics Education, 7(5), 108-116.