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Exploring underprepared undergraduate students’ mathematical problem posing

Silber, Steven, Cai, Jinfa·2021·ZDM – Mathematics Education
DOI 10.1007/s11858-021-01272-z
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Research works printed but not linked: 35

  1. Austin, P., Carbone, R. E., & Webb, P. (2011). Prospective primary school teachers’ attempts to pose acceptable word problems on the addition of fractions: Some insights from South Africa and the United States of America. African Journal of Research in Mathematics, Science and Technology Education, 15(2), 168–178. https://doi.org/10.1080/10288457.2011.10740710 · doi:10.1080/10288457.2011.10740710
  2. Bekdemir, M. (2010). The pre-service teachers’ mathematics anxiety related to depth of negative experiences in mathematics classroom while they were students. Educational Studies in Mathematics, 75, 311–328. https://doi.org/10.1007/s10649-010-9260-7 · DOI
  3. Bressoud, D. M., Carlson, M. P., Pearson, J. M., and Rasmussen, C. (2012, July). Preliminary results of the study on characteristics of successful programs in college calculus. Paper presented at the 12th International Congress on Mathematical Education, Seoul, Korea.
  4. Brezavšček, A., Jerebic, J., Rus, G., & Žnidaršič, A. (2020). Factors influencing mathematics achievement of university students of social sciences. Mathematics, 8, 2134 · DOI
  5. Cai, J., & Cifarelli, V. (2005). Exploring mathematical exploration: How two college students formulated and solved their own mathematical problems. Focus on Learning Problems in Mathematics, 27(3), 43
  6. Cai, J., & Hwang, S. (2002). Generalized and generative thinking in US and Chinese students’ mathematical problem solving and problem posing. Journal of Mathematical Behavior, 21(4), 401–421 · DOI · Paper page
  7. Cai, J. Hwang, S., Jiang, C., and Silber, S. (2015). Problem-posing research in mathematics education: Some answered and unanswered questions. In Mathematical problem posing (pp. 3–34). Springer, New York, NY. · DOI
  8. Cai, J., Moyer, J., Wang, N., Hwang, S., Nie, B., & Garber, T. (2013). Mathematical problem posing as a measure of curricular effect on students’ learning. Educational Studies in Mathematics, 83(1), 57–69. https://doi.org/10.1007/s10649-012-9429-3 · DOI
  9. Carlson, M., & Bloom, I. (2005). The cyclic nature of problem solving: An emergent multidimensional problem-solving framework. Educational Studies in Mathematics, 58(1), 45–75 · DOI · Paper page
  10. Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B. (2005). An empirical taxonomy of problem posing processes. ZDM Mathematics Education, 37(3), 149–158. https://doi.org/10.1007/s11858-005-0004-6 · DOI · Paper page
  11. Cifarelli, V. V., & Cai, J. (2005). The evolution of mathematical explorations in open-ended problem-solving situations. The Journal of Mathematical Behavior, 24(3–4), 302–324. https://doi.org/10.1016/j.jmathb.2005.09.007 · DOI
  12. DeLozier, S. J., & Rhodes, M. G. (2017). Flipped classrooms: A review of key ideas and recommendations for practice. Educational Psychology Review, 29(1), 141–151 · DOI · Paper page
  13. English, L. (1997). The development of fifth-grade children’s problem-posing abilities. Educational Studies in Mathematics, 34(3), 183–217. https://doi.org/10.2307/3482836 · doi:10.2307/3482836
  14. Gonzales, N. (1998). A blueprint for problem posing. School Science and Mathematics, 98(8), 448–456 · DOI
  15. Gueudet, G. (2008). Investigating the secondary-tertiary transition. Educational Studies in Mathematics, 67, 236–254 · DOI · Paper page
  16. Hoyt, J. E., and Sorensen, C. T. (2001). High school preparation, placement testing, and college remediation. Journal of Developmental Education, 25(2), 26–28,30,32–34.
  17. Hwang, S., & Cai, J. (2019). Integrating precalculus with calculus: A brief review. University of Delaware.
  18. Kaiser, G. and Buchholtz, N. (2014) Overcoming the gap between university and school mathematics: The impact of an innovative program in mathematics teacher education at the Justus-Liebig University in Giessen. In In S. Rezat, M. Hattermann and A. Peter-Koop (Ed.). Transformation—A fundamental Idea of mathematics education (pp. 85 – 105). Springer. https://doi.org/10.1007/978-1-4614-3489-4_5 · DOI
  19. Kilpatrick, J. (1987). Problem formulating: Where do good problems come from? In A. H. Schoenfeld (Ed.), Cognitive Science and Mathematics Education (pp. 123–147). Routledge.
  20. Merisotis, J. P., & Phipps, R. (2000). Remedial education in colleges and universities: What’s really going on? The Review of Higher Education, 24(1), 67–85. https://doi.org/10.1353/rhe.2000.0023 · DOI · Paper page
  21. Middleton, J., Jansen, A., and Goldin, G. A. (2017). The complexities of mathematical engagement: Motivation, affect, and social interactions. In J. Cai (Ed.), Compendium for research in mathematics education (pp. 667–699). NCTM.
  22. Moran, K. (2008). Examining the mathematical preparedness of first year college students entering college directly from traditional high schools in Connecticut. Research and Teaching in Developmental Education, 25(1), 30–44
  23. Moyer, J. C., Robison, V., & Cai, J. (2018). Attitudes of high-school students taught using traditional and reform mathematics curricula in middle school: A retrospective analysis. Educational Studies in Mathematics, 98, 115–134 · DOI
  24. Nardi, E., and Steward, S. (2003). Is mathematics T.I.R.E.D? A profile of quiet disaffection in the secondary mathematics classroom. British Educational Research Journal, 29(3), 345–367. · DOI · Paper page
  25. Polya, G. (2009). How to solve it: A new aspect of mathematical method. Ishi Press.
  26. Robinson, C., Galligan, L., Hussain, Z., Abdullah, S., Frederiks, A., & Wandel, A. (2019). Student perceptions of mathematics readiness from a university preparation program to undergraduate studies. Adults Learning Mathematics: An International Journal, 14(2), 6–22
  27. Schattschneider, D. (2006). College precalculus can be a barrier to calculus: Integration of precalculus with calculus can achieve success. In N. B. Hastings, F. S. Gordon, S. P. Gordon, & J. Narayan (Eds.), A fresh start for collegiate mathematics: Rethinking the courses below calculus. (pp. 285–294). Mathematical Association of America. · doi:10.5948/upo9781614443025.040
  28. Silber, S., & Cai, J. (2017). Pre-service teachers’ free and structured mathematical problem posing. International Journal of Mathematical Education in Science and Technology, 48(2), 163–184. https://doi.org/10.1080/0020739X.2016.1232843 · DOI
  29. Silver, E. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19–28. https://doi.org/10.2307/40248099 · doi:10.2307/40248099
  30. Silver, E., & Cai, J. (1996). An analysis of arithmetic problem posing by middle school students. Journal for Research in Mathematics Education, 27(5), 521–539. https://doi.org/10.2307/749846 · DOI · Paper page
  31. Toluk-Uçar, Z. (2009). Developing pre-service teachers understanding of fractions through problem posing. Teaching and Teacher Education, 25(1), 166–175. https://doi.org/10.1016/j.tate.2008.08.003 · DOI · Paper page
  32. Trusty, J., & Niles, S. G. (2003). High-school math courses and completion of the bachelors degree. Professional School Counseling, 7(2), 99–107
  33. Vandenbussche, J., Ritter, L., & Scherrer, C. (2018). An incentivized early remediation program in Calculus I. International Journal of Mathematical Education in Science and Technology, 49(8), 1235–1249. https://doi.org/10.1080/0020739X.2018.1458340 · DOI
  34. Yusof, Y. M., & Tall, D. (1998). Changing attitudes to university mathematics through problem solving. Educational Studies in Mathematics, 37, 67–82 · doi:10.1023/a:1003456104875
  35. Zakaria, E., & Nordin, N. M. (2008). The effects of mathematics anxiety on matriculation students as related to motivation and achievement. Eurasia Journal of Mathematics, Science and Technology Education, 4(1), 27–30 · DOI · Paper page

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Metadata

Authors
Silber, S., & Cai, J.
ORCID
Silber, Steven
Venue
ZDM – Mathematics Education
Publisher
Springer Science and Business Media LLC
Published
2021-06-01
Volume
53
Issue
4
Pages
877-889
ISSN
  • 1863-9690
  • 1863-9704
DOI
10.1007/s11858-021-01272-z
Cited by
40
References
0
Language
en
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Silber, S., & Cai, J. (2021). Exploring underprepared undergraduate students’ mathematical problem posing. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-021-01272-z

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