A Comparative Investigation of South Africa’s High-performing Learners on Selected TIMSS Items Comprising Multiplicative Concepts

References

• Dada, F., Dipholo, T., Hoadley, U., Khembo, E., Muller, S., & Volmink, J. (2009). Report of the Task Team for the Review of the Implementation of the National Curriculum Statement. Pretoria: Department of Basic Education.
   Google Scholar
• Department of Basic Education (2011) Integrated Strategy for Teacher Education Development. Pretoria: Department of Basic Education.
   Google Scholar
• Department of Education (2002) National Curriculum Statements (NCS) Grades R–12. Pretoria: Department of Basic Education.
   Google Scholar
• Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory analysis. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 1–27). Hillsdale, NJ: Lawrence Erlbaum.
   Google Scholar
• Howie, S.J. (2001). Mathematics and science performance in Grade 8 in South Africa 1998/1999 TIMSS-R. Pretoria: HSRC.
   Google Scholar
• IEA = International Association for the Evaluation of Educational Achievement. (2012). International database analyzer (version 3.0). Hamburg, Germany: IEA Data Processing and Research Center.
   Google Scholar
• Lesh, R., Post, T., & Behr, M. (1988). Proportional reasoning. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 93–118). Reston, VA: Lawrence Erlbaum.
   Google Scholar
• Long, C. (2011). Mathematical, cognitive and didactic elements of the multiplicative conceptual field investigated within a Rasch assessment and measurement framework. Unpublished doctoral dissertation. University of Cape Town, South Africa. Available from http://hdl.handle.net/%2011180/1521
   Google Scholar
• Long, C., Wendt, H., & Dunne, T. (2011). Applying Rasch measurement in mathematics education research: Steps towards a triangulated investigation into proficiency in the multiplicative conceptual field. Educational Research and Evaluation, 17(5), 387–407. doi: 10.1080/13803611.2011.632661
   Google Scholar
• Long, C., Dunne, T., & De Kock, H. (2014). Mathematics, curriculum and assessment: The role of taxonomies in the quest for coherence. Pythagoras, 35(2). Retrieved from: http://www.pythagoras.org.za/index.php/pythagoras/article/view/240/401
   Google Scholar
• Masters, G.N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47, 149–174. doi: 10.1007/BF02296272
   Web of Science ®Google Scholar
• Mullis, I.V.S., Martin, M.O., Ruddock, G.J., O’Sullivan, C.Y. & Preuschoff, C. (2009). TIMSS 2011 assessment frameworks. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
   Google Scholar
• Mullis, I.V.S., Martin, M.O., Foy, P., & Arora, A. (2012). TIMSS 2011 international results in mathematics. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Boston College.
   Google Scholar
• National Research Council (2001). Adding it up: Helping children learn mathematics, J. Kilpatrick, J. Swafford, & B. Findell (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.
   Google Scholar
• Parker, M., & Leinhardt, G. (1995). Percent: A privileged proportion. Review of Educational Research, 65(4), 421–481. doi: 10.3102/00346543065004421
   Web of Science ®Google Scholar
• Reddy, V. (2012). Highlights from TIMSS 2011: The South African perspective. Pretoria: HRSC.
   Google Scholar
• Reddy, V., Visser, M., Winnaar, L., Arends, F., Juan, A., & Prinsloo, C. (2016). TIMSS 2015: Highlights of Mathematics and Science achievement of Grade 9 South African learners from TIMSS 2015: The South African perspective. Pretoria: HRSC.
   Google Scholar
• Usiskin, Z. (2005). The importance of the transition years, Grades 7–10 in school mathematics. UCSMP Newsletter, 33, 4–7.
   Google Scholar
• Usiskin, Z. (2015). What does it mean to understand some mathematics? In S.J. Cho (Ed.), Selected regular lectures from the 12th international congress on mathematical education (pp. 821–841). Dordrecht: Springer.
   Google Scholar
• Vergnaud, G. (1983). Multiplicative structures. In R. Lesh & M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 127–174). New York: Academic Press.
   Google Scholar
• Vergnaud, G. (1997). The nature of mathematical concepts. In T. Nunes & P. Bryant (Eds.), Learning and teaching mathematics: An international perspective (pp. 5–28). Hove: Psychology Press.
   Google Scholar
• Wu, M., Adams, R., Wilson, M.R. & Haldane, S. (2007). ACER ConQuest 2.0. Generalised item response modelling software [Computer software]. Camberwell: Acer Press.
   Google Scholar