[1]
|
Arroyo, I., & Woolf, B. P. (2003). Students in AWE: Changing their role from consumers to producers of ITS content. Proceedings of the 11th International Conference on Artificial Intelligence and Education, Sydney, 20-24 July 2003.
|
[2]
|
Arthur, C. (2006). What is the 1% rule? The Guardian, July 26, 2006. URL (last checked 1 May 2011).
http://www.citeulike.org/group/2518/author/Arthur:C
|
[3]
|
Birch, M., & Beal, C. R. (2008). Problem posing in Animal Watch: An interactive system for student-authored content. Proceedings of the 21st International FLAIRS Conference, Coconut Grove, 15-17 May 2008.
|
[4]
|
Bonotto, C. (2010). Engaging students in mathematical modelling and problem posing activities. Journal of Mathematical Modelling and Application, 1, 18-32.
|
[5]
|
Brown, S. I., & Walter, M. I. (1990). The art of problem posing. Hillsdale, NJ: Erlbaum.
|
[6]
|
Cai, J. (1998). An investigation of US and Chinese students’ mathematical problem posing and problem solving. Mathematics Education Research Journal, 10, 37-50. doi:10.1007/BF03217121
|
[7]
|
Cai, J., & Huang, S. (2002). Generalized and generative thinking in US and Chinese students’ mathematical problem solving and problem posing. Journal of Mathematical Behavior, 21, 401-421.
doi:10.1016/S0732-3123(02)00142-6
|
[8]
|
Chi, M. T. H. (2009). Active-constructive-interactive: A conceptual framework for differentiating learning activities. Topics in Cognitive Science, 1, 73-105. doi:10.1111/j.1756-8765.2008.01005.x
|
[9]
|
Chi, M. T. H., Roy, M., & Hausmann, R. G. M. (2008). Observing tutorial dialogues collaboratively: Insights about human tutoring effectiveness from vicarious learning. Cognitive Science, 32, 301-341.
doi:10.1080/03640210701863396
|
[10]
|
Contreras, J. N. (2003). A problem-posing approach to specializing, generalizing and extending problems with interactive geometry software. The Mathematics Teacher, 96, 270-275.
|
[11]
|
Cotic, M., &Zuljan, M. V. (2009). Problem-based instruction in mathematics and its impact on the cognitive results of the students and on affective-motivational aspects. Educational Studies, 35, 297-310.
doi:10.1080/03055690802648085
|
[12]
|
Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preserve teachers’ practices. Educational Studies in Mathematics, 52, 243-270. doi:10.1023/A:1024364304664
|
[13]
|
Davis, D. D. et al. (2006). An integrative model for enhancing inclusion in computer science education. In E. Trauth (Ed.), Encyclopedia of gender and information technology (pp. 269-275). Hershey, PA: Idea.
doi:10.4018/978-1-59140-815-4.ch042
|
[14]
|
Education Development Corp. (2003). Making mathematics: Mentored research projects for young mathematicians. URL.
http://www2.edc.org/makingmath/handbook/teacher/ProblemPosing/ProblemPosing.asp
|
[15]
|
English, L. (1997). Promoting a problem-posing classroom. Teaching Children Mathematics, 4, 172-179.
|
[16]
|
Gonzales, P., Williams, T., Jocelyn, L., Roey, S., Kastberg, D., & Brenwald, S. (2008). Highlights from TIMSS 2007: Mathematics and science achievement of US fourth and eighth grade students in an international context (NCES 2009-2011 Revised). Washington DC: National Center for Education Statistics, Institute of Education Sciences, US Department of Education.
|
[17]
|
Hausmann, R., & Van Lehn, K. (2007). Explaining self-explaining: A contrast between content and generation. Proceedings of the 13th International Conference on Artificial Intelligence and Education, Los Angeles, 9-13 July 2003.
|
[18]
|
Hirashima, T., Yokoyama, T., Okamoto, M., & Takeuchi, A. (2007). Learning by problem-posing as sentence-integration and experimental use. In R. Luckin, K. R. Koedinger, & J. Greer (Eds.), Artificial intelligence in education: Building technology rich contexts that work (pp. 254-261). Amsterdam: IOS Press.
|
[19]
|
King, A. (1992). Comparison of self-questioning, summarizing and note-taking review as strategies for learning from lectures. American Educational Research Journal, 29, 303-323.
|
[20]
|
Knuth, E. J. (2002). Fostering mathematical curiosity. The Mathematics Teacher, 95, 126-130.
|
[21]
|
Martinez-Cruz, A. M., & Contreras, J. N. (2002). Changing the goal: An adventure in problem solving, problem posing, and symbolic meaning with a TI-92. The Mathematics Teacher, 95, 592-597.
|
[22]
|
Mestre, J. P. (2002). Probing adults’ conceptual understanding and transfer of learning via problem posing. Journal of Applied Developmental Psychology, 23, 9-50.
doi:10.1016/S0193-3973(01)00101-0
|
[23]
|
Miller, L. (2006). Building confidence through math problem solving. URL (last checked 16 January 2006).
http://www.nipissingu.ca/oar/archive-Vol2No1-V211E.htm
|
[24]
|
National Center for Education Statistics (2011). The Nation’s Report Card: Mathematics 2011 (NCES 2012-458). Washington DC: National Center for Education Statistics, Institute of Education Sciences, US Department of Education.
|
[25]
|
OCED (2010). PISA 2009 results: What students know and can do: Student performance in reading, mathematics and science. Paris: The Organisation for Economic Co-operation and Development.
|
[26]
|
Polya, G. (1962). Mathematical discovery: On understanding, learning, and teaching problem solving. New York: John Wiley.
|
[27]
|
Roscoe, R. D., & Chi, M. T. H. (2007). Understanding tutor learning: Knowledge building and knowledge telling in peer tutors’ explanations and questions. Review of Educational Research, 77, 534-574.
doi:10.3102/0034654307309920
|
[28]
|
Roy, M., & Chi, M. T. H. (2005). The self-explanation principle. In R. E. Mayer (Ed.), Cambridge Handbook of Multimedia Learning (pp. 271-286). Cambridge: Cambridge University Press.
doi:10.1017/CBO9780511816819.018
|
[29]
|
Silver, E. A., & Cai, J. (1996). An analysis of arithmetic problem posing by middle school students. Journal for Research in Mathematics Education, 27, 521-539. doi:10.2307/749846
|
[30]
|
Silver, E. A., Kilpatrick, J., & Schlesinger, B. (1995). Thinking through mathematics. New York: College Board.
|
[31]
|
Simic-Mullter, K., Turner, E., & Varley, M. C. (2009). Math Club problem posing. Teaching Children Mathematics, 16, 206-212.
|
[32]
|
Verzoni, K. A. (1997). Turning students into problem solvers. Mathematics Teaching in the Middle School, 3, 102-107.
|
[33]
|
Whitin, P. (2004). Promoting problem posing explorations. Teaching Children Mathematics, 180, 7.
|
[34]
|
Wilson, J. M., Fernandez, M., & Hadaway, N. (2006). Mathematical problem solving. URL.
http://jwilson.coe.uga.edu/emt725/PSsyn/PSsyn.html
|
[35]
|
Xia, X., Lu, C., & Wang, B. (2008). Research in mathematics instruction experiment based problem posing. Journal of Mathematics Education, 1, 153-163.
|