Journal article Open Access
This is a descriptive study which uses hierarchical cluster analysis to group 17 teacher respondents to establish similarity of their characteristics in terms of procedural and conceptual knowledge, and their ability to examine errors in procedure and reasoning. The data suggested that conceptual and procedural knowledge plus the ability to correct misconception are important in increasing the likelihood of quality instruction. The Quality instruction index suggests that respondents have a surface level conceptual knowledge. These limited conceptual knowledge of the respondents affected their assessment. It was hypothesized that the Education for All (EFA) goal no. 6 of improving all aspects of the quality of education and ensuring excellence for 2015 cannot be achieved.
Bailey, D. H., Hoard, M. K., Nugent, L., & Geary, D. C. (2012). Competence with fractions predicts gains in mathematics achievement. Journal of Experimental Child Psychology, 113(3), 447-455.
Ball, D. L., Lubienski, S., & Mewborn, D. (2001). Research on Teaching Mathematics: The unsolved problem of Teachers' Mathematical Knowledge. In V. Richardson (E.D), Handbook of Research on Teaching (4th ed.) New York: McMillan
Booth, J. L., Newton, K. J., & Twiss- Garrity, L. K. (2014). The impact of fraction magnitude knowledge on algebra performance and learning. Journal of Experimental Child Psychology, 118(1), 110-118.
Cochran, K., DeRuiter, J. & King, R. (1993). Pedagogical content knowing: An integrative model for teacher preparation, Journal of Teacher Education, 44 (4), 263-272
Cochran,W. G. (1991). Teknik Penarikan Sampel. Penerbit Indonesia: Universitas Indonesia.
Dauda, B., Jambo, H. E., & Umar, M. A. (2016). Students' Perception of Factors Influencing Teaching and Learning of Mathematics in Senior Secondary Schools in Maiduguri Metropolis, Borno State, Nigeria. Journal of Education and Practice, 7(20), 114-122.
Gagani, R. F. & Misa, R. (in press). SOLO based-cognition levels of inductive reasoning in Geometry. Alberta Journal of Educational Research.
Grossman, P. L., Wilson, S. M., & Shulman, L. S. (1989). Teachers of substance: Subject matter knowledge for teaching. Profesorado, Revista de Currículum y Formación del Profesorado, 9(2), 1-25.
Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogicalcontent knowledge: Conceptualizing and measuring teachers' topic specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372-400
Loewenberg-Ball, D., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389-407.
Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1-22.
The 2011 Praxis Client Conference. Content Knowledge for Teaching: Innovations for the Next Generation of Teaching Assessments.
Torbeyns, J., Schneider, M., Xin, Z., & Siegler, R. S. (2015). Bridging the gap: Fraction understanding is central to mathematics achievement in students from three different continents. Learning and Instruction, 37(1), 5-13.
United Nations Educational, Scientific, and Cultural Organization (2010-2015). Education for All Goals. Retrieved from http://www.unesco.org/new/en/education/themes/leading-the-international-agenda/education-for-all/
Wilson, S. M., Shulman, L. S., & Richert, A. E. (1987). '150 different ways' of knowing: Representation of knowledge in teaching. In J. Calderhead (Ed.). Exploring teachers' thinking (pp. 104-124). London: Cassell.