References
- Ball, D. L.; Thames, M. H. C. & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education 59(5), 389-407. https://doi.org/10.1177/0022487108324554
- Borko, H.; Eisenhart, M., Brown. C. A.; Underhill, R. G.; Jones, D. & Agard, P. C. (1992). Learning to teach hard mathematics: Do novice teachers give up too easily. J. Res. Math. Educ. 23(3), 194-222. https://doi.org/10.2307/749118
- Hill, H. C.; Schilling, S. G. & Ball, D. L. (2004). Developing measures of teachers' mathematics knowledge for teaching. Elementary School Journal 105(1), 11-30. https://doi.org/10.1086/428763
- Lin, C. Y.; Becker, J. P.; Ko, Y. Y. & Byun, M. (2013). Enhancing pre-service teachers' fraction knowledge throughopen approach instruction. J. Math. Behav. 32(3), 309-330. https://doi.org/10.1016/j.jmathb.2013.03.004
- Lin, P. J. & Hsieh, F. J. (2008). Taiwan pre service teachers education and development study in mathematics. Taipei, Taiwan: National Science Council & Ministry of Education in Taiwan.
- Luo, F.; Lo, J. & Leu, Y. (2011). Fundamental fraction knowledge of pre-service elementary teachers: A cross national study in the United States and Taiwan. Sch. Sci. Math. 111(4), 164-177. https://doi.org/10.1111/j.1949-8594.2011.00074.x
- Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum.
- Macintosh, A. & Quadling, D. (1975). Arithmogons. Mathematics Teaching 70, 18-23.
- Mullis, I. V. S., Martin, M. O., & Foy, P. (with Olson, J. F., Preuschoff, C., Erberber, E., Arora, A., & Galia, J.). (2008). TIMSS 2007 international mathematics report TIMSS 2007 international benchmarks for mathematics achievement. Chestnut Hill, MA: Boston College.
- National Council of Teachers of Mathematics [NCTM] (2000). Principles and standards for school mathematics. Reston, VA: NCTM. ME 1999f.03937 for discussion draft (1998)
- National Council of Teachers of Mathematics [NCTM] (2006). Curriculum focal points for prekindergarten through grade 8 mathematics. Reston, VA: NCTM.
- Schmidt, W. H.; McKnight, C. C.; Houang, R. T.; Wang, H. C.; Wiley, D. E.; Cogan, L. S. & Wolfe, R. G. (2001). Why schools matter: A cross-national comparison of curriculum and learning. San Francisco, CA: Jossey Bass.
- Schmidt, W. H.; Wang, H. C.; McKnight, C. C. & Curtis, 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. https://doi.org/10.1080/0022027042000294682
- Wittmann, E. C. & Muller, G. N. (2000). Series of German primary school student textbooks and workbooks. Stuttgart: Klett Publishers.