Perseverance in mathematical reasoning: the role of children’s conative focus in the productive interplay between cognition and affect

References

• Ball, D., & Bass, H. (2003). Making mathematics reasonable in school. In W. Kilpatrick (Ed.), A research companion to principles and standards for school mathematics (pp. 27–44). Reston, VA: National Council of Teachers of Mathematics.
   Google Scholar
• Bergqvist, T., & Lithner, J. (2012). Mathematical reasoning in teachers’ presentations. The Journal of Mathematical Behavior, 31(2), 252–269.
   Google Scholar
• DeBellis, V. A., & Goldin, G. A. (2006). Affect and meta-affect in mathematical problem solving: A representational perspective. Educational Studies in Mathematics, 63(2), 131–147.
   Google Scholar
• Di Martino, P., & Zan, R. (2013). Where does fear of maths come from? Beyond the purely emotional. In B. Ubuz, C. Haser, & M. Mariotti (Eds.), Proceedings of the eighth congress of the European society for research in mathematics education (pp. 1272–1450). Ankara: Middle East Technical University.
   Google Scholar
• Dweck, C. S. (2000). Self-theories: Their role in motivation, personality, and development. Hove: Psychology Press.
   Google Scholar
• Fredricks, J., Blumenfeld, P., & Paris, A. (2004). School engagement: Potential of the concept, state of the evidence. Review of Educational Research, 74(1), 59–109.
   Web of Science ®Google Scholar
• Goldin, G. (2000). Affective pathways and representation in mathematical problem solving. Mathematical Thinking and Learning, 2(3), 209–219.
   Google Scholar
• Goldin, G., Epstein, Y., Schorr, R., & Warner, L. (2011). Beliefs and engagement structures: Behind the affective dimension of mathematical learning. ZDM Mathematics Education, 43(4), 547–560.
   Google Scholar
• Goswami, U. (2015). Children’s cognitive development and learning. York: Cambridge Primary Review Trust.
   Google Scholar
• Griffiths, R., Back, J., & Gifford, S. (2017). Using manipulatives in the foundations of arithmetic: Main report. Leicester: University of Leicester/University of Roehampton.
   Google Scholar
• Hannula, M. (2011). The structure and dynamics of affect in mathematical thinking and learning. In M. Pytlak, T. Rowland, & E. Swoboda (Eds.), Proceedings of the seventh congress of the European society for research in mathematics education (pp. 34–60). Rzeszów: University of Rzeszów.
   Google Scholar
• Hannula, M. (2012). Exploring new dimensions of mathematics-related affect: Embodied and social theories. Research in Mathematics Education, 14(2), 137–161.
   Google Scholar
• Hilgard, E. (1980). The trilogy of mind: Cognition, affection, and conation. Journal of the History of the Behavioral Sciences, 16, 107–117.
   PubMed Web of Science ®Google Scholar
• Huitt, W., & Cain, S. (2005). An overview of the conative domain. Educational Psychology Interactive, 2017(24 June). Retrieved from http://www.edpsycinteractive.org/papers/conative.pdf
   Google Scholar
• Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255–276.
   Google Scholar
• Malmivuori, M. (2006). Affect and self-regulation. Educational Studies in Mathematics, 63(Special Issue), 149–164.
   Google Scholar
• Mason, J., Burton, L., & Stacey, K. (2010). Thinking mathematically (2nd ed.). Harlow: Pearson.
   Google Scholar
• Mulligan, J., & Mitchelmore, J. (2012). Developing pedagogical strategies to promote structural thinking in mathematics. In J. Dindyal, L. Cheng, & S. Ng (Eds.), Proceedings of the 35th annual conference of the mathematics education research group of Australasia (pp. 529–536). Singapore: MERGA.
   Google Scholar
• NRICH. (2015a). Magic Vs. Retrieved from http://nrich.maths.org/6274
   Google Scholar
• NRICH. (2015b). Number differences. Retrieved from http://nrich.maths.org/2790/note
   Google Scholar
• Özcan, Z. Ç. (2016). The relationship between mathematical problem-solving skills and self-regulated learning through homework behaviours, motivation, and metacognition. International Journal of Mathematical Education in Science and Technology, 47(3), 408–420.
   Web of Science ®Google Scholar
• Papert, S. (1980). Mindstorms: Children, computers and powerful ideas. Brighton: Harvester.
   Google Scholar
• Pólya, G. (1959). Mathematics as a subject for learning plausible reasoning. Mathematics Teacher, 52, 7–9.
   Google Scholar
• Snow, R., & Jackson, D., III (1997). Individual differences in conation: Selected constructs and measures. Los Angeles, CA: CRESST/Stanford University.
   Google Scholar
• Stylianides, A., & Stylianides, G. (2006). Content knowledge for mathematical teaching: The case of reasoning and proving. In J. Novotná, H. Moraová, M. Krátká, & N. Stehliková (Eds.), Proceedings 30th conference of the international group for the psychology of mathematics education (pp. 201–208). Prague: PME.
   Google Scholar
• Tait-McCutcheon, S. L. (2008). Self-efficacy in mathematics: Affective, cognitive, and conative domains of functioning. In M. Goos, R. Brown, & K. Maker (Eds.), Proceedings of the 31st annual conference of the mathematics education research group of Australia (pp. 507–513). Brisbane: MERGA.
   Google Scholar
• Tanner, H., & Jones, S. (2003). Self-efficacy in mathematics and students’ use of self-regulated learning strategies during assessment events. In N. A. Pateman, B. J. Dougherty, & J. T. Zilliox (Eds.), Proceedings of the 27th conference of the international group for the psychology of mathematics education (pp. 275–282). Honolulu: PME.
   Google Scholar
• Williams, G. (2014). Optimistic problem-solving activity: Enacting confidence, persistence, and perseverance. ZDM The International Journal on Mathematics Education, 46(3), 407–422.
   Google Scholar