Teachers’ beliefs about improving transfer of algebraic skills from mathematics into physics in senior pre-university education

References

• Alink, N., van Asselt, R., & den Braber, N. (2012). Samenhang en afstemming wiskunde en de profielvakken [Coherence between mathematics and the profile subjects]. Utrecht/Enschede: cTWO/SLO.
   Google Scholar
• Atiyah, M. F. (1993). Mathematics: Queen and servant of the sciences. Proceedings of the American Philosophical Society, 137(4), 527–531.
   Web of Science ®Google Scholar
• Barnett, S., & Ceci, S. J. (2002). When and where do we apply what we learn? A taxonomy for far transfer. Psychological Bulletin, 128(4), 612–637. doi: 10.1037/0033-2909.128.4.612
   PubMed Web of Science ®Google Scholar
• Berlin, D. F., & White, A. L. (2012). A longitudinal look at attitudes and perceptions related to the integration of mathematics, science, and technology education. School Science and Mathematics, 112(1), 20–30. doi: 10.1111/j.1949-8594.2011.00111.x
   Google Scholar
• Berlin, D. F., & White, A. L. (Eds.). (2014). Initiatives in mathematics and science education with global implications. Columbus, OH: International Consortium for Research in Science and Mathematics Education.
   Google Scholar
• Bryman, A. (2012). Social research methods (4th ed.). Oxford: Oxford University Press.
   Google Scholar
• Cooney, T. J. (1985). A beginning teacher's view of problem solving. Journal for Research in Mathematics Education, 16(5), 324–336. doi: 10.2307/749355
   Google Scholar
• Cui, L. (2006). Assessing college students’ retention and transfer from calculus to physics (Doctoral dissertation). Retrieved from https://web.phys.ksu.edu/dissertations/cui_phd_2006.pdf
   Google Scholar
• Davison, D. M., Miller, K. W., & Metheny, D. L. (1995). What does integration of science and mathematics really mean? School Science and Mathematics, 95(5), 226–230. doi: 10.1111/j.1949-8594.1995.tb15771.x
   Google Scholar
• Dierdorp, A., Bakker, A., van Maanen, J., & Eijkelhof, H. (2014). Meaningful statistics in professional practices as a bridge between mathematics and science: An evaluation of a design research project. International Journal of STEM Education, 1(9), 1–15.
   Google Scholar
• Drijvers, P. (Ed.). (2011). Secondary algebra education. Revisiting topics and themes and exploring the unknown. Rotterdam: Sense.
   Google Scholar
• Ernest, P. (1991). The philosophy of mathematics education. London: Falmer.
   Google Scholar
• Haskell, R. E. (2001). Transfer of learning: Cognition, instruction and reasoning. San Diego, CA: Academic Press.
   Google Scholar
• van den Heuvel-Panhuizen, M. H. A. M., & Wijers, M. M. (2005). Mathematics standards and curricula in the Netherlands. Zentralblatt für Didaktik der Mathematik, 37(4), 287–307. doi: 10.1007/BF02655816
   Google Scholar
• Karakok, G. (2009). Students’ transfer of learning of eigenvalues and eigenvectors: Implementation of the actor-oriented transfer framework (Doctoral dissertation). Retrieved from https://ir.library.oregonstate.edu/xmlui/bitstream/handle/1957/11181/Karakok_thesis.pdf?sequence=1
   Google Scholar
• Karam, R. (2014). Framing the structural role of mathematics in physics lectures: A case study on electromagnetism. Physical Review Special Topics – Physics Education Research, 10(1), 1–23. doi: 10.1103/PhysRevSTPER.10.010119
   Google Scholar
• Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
   Google Scholar
• Lobato, J. (2003). How design experiments can inform a rethinking of transfer and vice versa. Educational Researcher, 32(1), 17–20. doi: 10.3102/0013189X032001017
   Google Scholar
• Mullis, I. V. S., Martin, M. O., Kennedy, A. M., Trong, K. L., & Sainsbury, M. (2009). PIRLS 2011 assessment framework. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College.
   Google Scholar
• National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
   Google Scholar
• National Research Council. (1996). National science education standards. Washington, DC: National Academy Press.
   Google Scholar
• Netherlands Institute for Curriculum Development. (2016, February 28). Retrieved from http://international.slo.nl
   Google Scholar
• Pajares, M. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332. doi: 10.3102/00346543062003307
   Web of Science ®Google Scholar
• Roorda, G. (2012). Ontwikkeling in verandering; ontwikkeling van wiskundige bekwaamheid van leerlingen met betrekking tot het concept afgeleide [Development of ‘change’; the development of students’ mathematical proficiency with respect to the concept of derivative] (Doctoral dissertation). Retrieved from https://www.rug.nl/staff/g.roorda/proefschriftgerritroorda.pdf
   Google Scholar
• Roorda, G., Goedhart, M., & Vos, P. (2014). An actor-oriented transfer perspective on high school students’ development of the use of procedures to solve problems on “rate of change”. International Journal of Science and Mathematics Education, 13(4), 863–889. doi: 10.1007/s10763-013-9501-1
   Web of Science ®Google Scholar
• Saldaña, J. (2013). The coding manual for qualitative researchers. Los Angeles, CA: SAGE.
   Google Scholar
• Schmidt, W. H., McKnight, C. C., & Raizen, S. A. (1997). A splintered vision: An investigation of U.S. Science and mathematics education. Dordrecht: Kluwer.
   Google Scholar
• Schmidt, W. H., Wang, H. C., & McNight, C. C. (2005). Curriculum coherence: An examination of U.S. mathematics and science content standards from an international perspective. Journal of Curriculum Studies, 37(5), 525–559. doi: 10.1080/0022027042000294682
   Web of Science ®Google Scholar
• Schoenfeld, A. H. (1985). Mathematical problem solving. Orlando, FL: Academic Press.
   Google Scholar
• Singley, K., & Anderson, J. R. (1989). The transfer of cognitive skills. Cambridge, MA: Harvard University Press.
   Google Scholar
• Stein, M. K., & Smith, M. S. (2010). The influence of curriculum on student learning. In B. Reyes, R. Reyes, & R. Rubenstein (Eds.), Mathematics curriculum: Issues, trends and future directions (pp. 351–362). Reston, VA: NCTM.
   Google Scholar
• Valverde, G. A., Bianchi, L. J., Wolfe, R. G., Schmidt, W. H., & Houang, R. T. (2002). According to the book: Using TIMSS to investigate the translation of policy into practice through the world of textbooks. Dordrecht: Kluwer Academic.
   Google Scholar
• Wu, H. (1999). Basic skills versus conceptual understanding: A bogus dichotomy in mathematics education. The American Educator, 23(9), 14–19. American Federation of Teachers, Fall.
   Google Scholar
• van Zanten, M., & van den Heuvel-Panhuizen, M. (2014). Freedom of design: The multiple faces of subtraction in Dutch primary school textbooks. In Y. Li& G. Lappan (Eds.), Mathematics curriculum in school education (pp. 231–259). Heidelberg: Springer.
   Google Scholar