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Akay, H., & Boz, N. (2010). The effect of problem posing oriented Analyses-II course on the attitudes toward mathematics and mathematics self-efficacy of elementary prospective mathematics teachers. Australian Journal of Teacher Education, 35(1), 1-75. doi:10.14221/

ajte.2010v35n1.6

Bar-Haim, Y., Lamy, D., Pergamin, L., Bakermans-Kranenburg, M. J., & van IJzendoorn, M. J.

(2007). Threat-related attentional bias in anxious and nonanxious individuals: A meta-analytic study. Psychological Bulletin, 133(1), 1-24. doi:10.1037/0033-2909.133.1.1

Barak, M., & Rafaeli, S. (2004). On-line question-posing and peer-assessment as means for web-based knowledge sharing in learning. International Journal of Human-Computer Studies, 61(1), 84-103. doi:10.1016/j.ijhcs.2003.12.005

Beal, C. R., & Cohen, P. R. (2012). Teach ourselves: Technology to support problem posing in the STEM classroom. Creative Education, 3(4), 513-519. doi:10.4236/ce.2012.34078

Bloom, B., Englehart, M., Furst, E., Hill, W., & Krathwohl, D. (1956). Taxonomy of educational objectives: The classification of educational goals. Handbook I: Cognitive domain. New York, NY: Longmans, Green.

Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational Studies in Mathematics, 83(1), 37-55. doi:10.1007/s10649-012-9441-7

Brousseau, G. (1997). Theory of didactical situations in mathematics. Dordrecht, The Netherlands:

Kluwer Academic.

Brown, S. I., & Walter, M. I. (2005). The art of problem posing (3rd ed.). Mahwah, NJ: Lawrence Erlbaum Associates.

Cai, J., & Hwang, S. (2002). Generalized and generative thinking in U.S. and Chinese students’

mathematical problem solving and problem posing. Journal of Mathematical Behavior, 21(4), 401-421. doi:10.1016/S0732-3123(02)00142-6

Cai, J., Moyer, J. C., 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. doi:10.1007/s10649-012-9429-3

Chang, K.-E., Wu, L.-J., Weng, S.-E., & Sung, Y.-T. (2012). Embedding game-based

34 學生擬題教學成效 廖遠光、張澄清

problem-solving phase into problem-posing system for mathematics learning. Computers &

Education, 58(2), 775-786. doi:10.1016/j.compedu.2011.10.002

Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B. (2005). An empirical taxonomy of problem posing processes. The International Journal on Mathematics Education, 37(3), 149-158. doi:10.1007/s11858-005-0004-6

Cohen, B. P., & Arechevala-Vargas. (1987). Interdependence, interaction and productivity (Working Paper No. 87-3). Stanford, CA: Center for Sociological Research.

Cohen, E. G. (1994). Restructuring the classroom: Conditions for productive small groups. Review of Educational Research, 64(1), 1-35. doi:10.3102/00346543064001001

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ:

Lawrence Earlbaum Associates.

Crawley, S. L., Curry, W. H., Dumois-Sands, J., Tanner, C., & Wyker, C. (2008). Full-contact pedagogy: Lecturing with questions and student-centered assignments as methods for inciting self-reflexivity for faculty and students. Feminist Teacher, 19(1), 13-30. doi:10.1353/ftr.0.0023 Crespo, S., & Sinclair, N. (2008). What makes a problem mathematically interesting? Inviting

prospective teachers to pose better problems. Journal of Mathematics Teacher Education, 11(5), 395-415. doi:10.1007/s10857-008-9081-0

Csikszentmihalyi, M. (1977). Beyond boredom and anxiety. San Francisco, CA: Jossey-Bass.

Cunningham, R. F. (2004). Problem posing: An opportunity for increasing student responsibility.

Mathematics and Computer Education, 38(1), 83-89.

de Jesus, H., Almeida, P., Teixeira-Dias, J., & Watts, M. (2006). Students’ questions: Building a bridge between Kolb’s learning styles and approaches to learning. Education+Training 48(2/3), 97-111. doi:10.1108/00400910610651746

Denny, P., Hamer, J., Luxton-Reilly, A., & Purchase, H. (2008). PeerWise: Students sharing their multiple choice questions. Proceeding of the Fourth International Workshop on Computing Education Research, 51-58. doi:10.1145/1404520.1404526

Ellerton, N. (1986). Children’s made-up mathematics problem-A new perspective on talented mathematicians. Educational Studies in Mathematics, 17(3), 261-271. doi:10.1007/BF00305073 English, L. D. (1997a). The development of fifth-grade children’s problem-posing abilities.

Educational Studies in Mathematics, 34(3), 183-217. doi:10.1023/A:1002963618035

English, L. D. (1997b). Development of seventh-grade students’ problem posing. In E. Pehkonen (Ed.), Proceedings of the 21st conference of the international group for the psychology of mathematics education (Vol. 2, pp. 241-248). Lahti, Finland: PME.

廖遠光、張澄清 學生擬題教學成效 35

English, L. D. (1998). Children’s problem posing within formal and informal contexts. Journal for Research in Mathematics Education, 29(1), 83-106. doi:10.2307/749719

English, L. D. (2003). Problem posing in the elementary curriculum. In F. Lester & R. Charles (Eds.), Teaching mathematics through problem solving (pp. 187-198). Reston, VA: National Council of Teachers of Mathematics.

Fellenz, M. R. (2004). Using assessment to support higher level learning: The multiple choice item development assignment. Assessment & Education in Higher Education, 29(6), 703-719. doi:10.

1080/0260293042000227245

Freire, P. (1970). Pedagogy of the oppressed. New York, NY: The Seabury Press.

Gall, M. D., Borg, W. R., & Gall, J. P. (1996). Educational research: An introduction (6th ed.).

White Plains, NY: Longman.

Goldin, G. (1998). Representational systems, learning, and problem solving in mathematics. The Journal of Mathematical Behavior, 17(2), 137-165. doi:10.1016/S0364-0213(99)80056-1 Greene, L. (2005). Carnegie chronicle: Questioning questions. The National Teaching and Learning

Forum, 14(2), 1-6.

Gunn, V. (2007). Approaches to small group learning and teaching. Retrieved from http://www.gla.

ac.uk/media/media_12157_en.pdf

Harel, G., Koichu, B., & Manaster, A. (2006). Algebra teachers’ ways of thinking characterizing the mental act of problem posing. In J. Novotna, H. Moraova, M. Kratka, & N. Stehlikova (Eds.), Proceedings of PME 30th conference of the international group for the psychology of mathematics education (pp. 241-248). Prague, Czech Republic: Charles University.

Harel, G., & Tall, D. O. (1991). The general, the abstract, and the generic in advanced mathematics.

For the Learning of Mathematics, 11(1), 38-42.

Hattie, J., Marsh, H. W., Neill, J. T., & Richards, G. E. (1997). Adventure education and outward bound: Out-of-class experiences that make a lasting difference. Review of Educational Research, 67(1), 43-87. doi:10.3102/00346543067001043

Hazeyama, A., & Hirai, Y. (2007). Concerto II: A learning community support system based on question-posing. In J. M. Spector, D. G. Sampson, T. Okamoto, S. A. Cerri, M. Ueno, & A.

Kashihara (Eds.), Proceedings of the 7th IEEE international conference on advanced learning technologies (pp. 338-339). Niigata, Japan: IEEE. doi:10.1109/ICALT.2007.101

Hedges, L. V., & Olkin, I. (1985). Statistical methods for meta-analysis. Orlando, FL: Academic Press.

Jungck, J. R. (1985). A problem posing approach to biology education. The American Biology

36 學生擬題教學成效 廖遠光、張澄清

Teacher, 47(5), 264-266. doi:10.2307/4448046

Kar, T., Özdemir, E., Ipek, A. S., & Albayrak, M. (2010). The relation between the problem posing and problem solving skills of prospective elementary mathematics teachers. Procedia-Social and Behavioral Sciences, 2(2), 1577-1583. doi:10.1016/j.sbspro.2010.03.239

Kilpatrick, J. (1987). Problem formulating: Where do good problems come from? In A. H.

Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 123-147). Hillsdale, NJ:

Lawrence Erlbaum Associates.

Koichu, B. (2008). Theoretical framework for characterizing responses to multiple problem posing tasks. In R. Leikin, A. Levav-Waynberg, & M. Appelbaum (Eds.), Proceedings of the international workshop on multiple solution connecting tasks (pp. 45-52). Haifa, Israel: CET.

Kontorovich, I., Koichu, B., Leikin, R., & Berman, A. (2012). An exploratory framework for handling the complexity of mathematical problem posing in small groups. The Journal of Mathematical Behavior, 31(1), 149-161. doi:10.1016/j.jmathb.2011.11.002

Lavy, I., & Bershadsky, I. (2003). Problem posing via “what if not?” strategy in solid geometry-A case study. The Journal of Mathematical Behavior, 22(4), 369-387. doi:10.1016/j.jmathb.2003.

09.007

Leikin, R. (2005). Qualities of professional dialogue: Connecting graduate research on teaching and the undergraduate teachers’ program. International Journal of Mathematical Education in Science and Technology, 36(2-3), 235-254. doi:10.1080/00207390412331316960

Lipsey, M. W., & Wilson, D. B. (2001). Practical meta-analysis. Thousand Oaks, CA: Sage.

Lowrie, T. (2002). Young children posing problems: The influence of teacher intervention on the type of problems children pose. Mathematics Education Research Journal, 14(2), 87-98. doi:10.

1007/BF03217355

Mamona-Downs, J., & Downs, M. (2005). The identity of problem solving. The Journal of Mathematical Behavior, 24(3-4), 385-401. doi:10.1016/j.jmathb.2005.09.011

Mestre, J. P. (2002). Probing adults’ conceptual understanding and transfer of learning via problem posing. Journal of Applied Developmental Psychology, 23(1), 9-50. doi:10.1016/S0193-3973 (01)00101-0

Miller, M. (2005). Learning and teaching in the affective domain. In M. Orey (Ed.), Emerging perspectives on learning, teaching and technology. Retrieved from http://epltt.coe.uga.edu/

index.php?title=Teaching_and_Learning_in_Affective_Dom

Moses, B. M., Bjork, E., & Goldenberg, E. P. (1993). Beyond problem solving: Problem posing. In S.

I. Brown & M. I. Walter (Eds.), Problem posing: Reflections and applications (pp. 178-488).

廖遠光、張澄清 學生擬題教學成效 37

Hillsdale, NJ: Lawrence Erlbaum Associates.

Nakano, A., Hirashima, T., & Takeuchi, A. (2004). A support environment for learning by describing problem map in arithmetical word problems. Retrieved from http://citexeerx.ist.psu.edu/

viewdoc/download?doi=10.1.1.104.9790&rep=1&type=pdf

Nardone, C. F., & Lee, R. G. (2011). Critical inquiry across the disciplines: Strategies for student-generated problem posing. College Teaching, 59(1), 13-22. doi:10.1080/87567555.2010.

489077

Pelczer, I., & Rodriguez, F. G. (2008). Problem posing strategies of mathematically gifted students.

In R. Leikin (Ed.), Proceedings of the 5th international conference on creativity in mathematics and the education of gifted students (pp. 193-199). Haifa, Israel: CET.

Perrin, J. R. (2007). Problem posing at all levels in the calculus classroom. School Science &

Mathematics, 107(5), 182-192. doi:10.1111/j.1949-8594.2007.tb17782.x

Qin, Z., Johnson, D. W., & Johnson, R. T. (1995). Cooperative versus competitive efforts and problem solving. Review of Educational Research, 65(2), 129-143. doi:10.3102/003465430 65002129

Raudenbush, S. W. (1994). Random effects models. In H. Cooper & L. V. Hedges (Eds.), The handbook of research synthesis (pp. 301-321). New York, NY: Russell Sage Foundation.

Rosenshine, B., Meister, C., & Chapman, S. (1996). Teaching students to generate questions: A review of the intervention studies. Review of Educational Research, 66(2), 181-221. doi:10.

3102/00346543066002181

Rosenthal, R. (1991). Meta-analytic procedures for social research. Newbury Park, CA: Sage. doi:

10.4135/9781412984997

Rosli, R., Capraro, M. M., & Capraro, R. M. (2014). The effects of problem posing on student mathematical learning: A meta-analysis. International Education Studies, 7(13), 227-241. doi:

10.5539/ies.v7n13p227

Schoenfeld, A. (1985). Mathematical problem solving. New York, NY: Academic Press.

Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19-28.

Silver, E. A., & Mamona, J. (1989). Problem posing by middle school teachers. In C. A. Maher, G. A.

Goldin, & R. B. Davis (Eds.), Proceedings of the eleventh annual meeting of the North American chapter of the international group for the psychology of mathematics education (pp.

263-269). New Brunswick, NJ: Rutgers University.

Silver, E. A., Mamona-Downs, J., Leung, S. S., & Kenney, P. A. (1996). Posing mathematical

38 學生擬題教學成效 廖遠光、張澄清

problems: An exploratory study. Journal for Research in Mathematics Education, 27(3), 293- 309. doi:10.2307/749366

Singer, M., Ellerton, N., & Cai, J. (2013). Problem-posing research in mathematics education: New questions and directions. Educational Studies in Mathematics, 83(1), 1-7. doi:10.1007/s10649- 013-9478-2

Springer, L., Stanne, M. E., & Donovan, S. S. (1999). Effects of small-group learning on under- graduates in science, mathematics, engineering, and technology: A meta-analysis. Review of Educational Research, 69(1), 21-51. doi:10.3102/00346543069001021

Sternberg, R. (1998). Abilities are forms of developing expertise. Educational Researcher, 27(3), 11-20. doi:10.3102/0013189X027003011

Stovanova, E., & Ellerton, N. F. (1996). A framework for research into student’s problem posing in school mathematics. In R. B. Corwin (Ed.), Talking mathematics: Supporting children’s voices (pp. 53-96). Portsmouth, NH: Heinemann.

Stoyanova, E. (1998). Problem posing in mathematics classrooms. In A. McIntosh & N. Ellerton (Eds.), Research in mathematics education: A contemporary perspective (pp. 164-185). Perth, Australia: MASTEC, Edith Cowan University.

Van Harpen, X. Y., & Presmeg, N. C. (2013). An investigation of relationships between students’

mathematical problem-posing abilities and their mathematical content knowledge. Educational Studies in Mathematics, 83(1), 117-132. doi:10.1007/s10649-012-9456-0

von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. London, UK:

The Falmer Press.

Whitehurst, G. J. (2002). Evidence-based education. Retrieved from https://www2.ed.gov/nclb/

methods/whatworks/eb/edlite-index.html

Wilson, E. V. (2004). ExamNet asynchronous learning network: Augmenting face-to-face courses with student-developed exam questions. Computers & Education, 42(1), 87-107. doi:10.1016/

S0360-1315(03)00066-6

Wirkala, C., & Kuhn, D. (2011). Problem-based learning in K-12 education: Is it effective and how does it achieve its effects? American Educational Research Journal, 48(5), 1157-1186. doi:10.

3102/0002831211419491

What Works ClearinghouseTM. (2014). Procedures and standards handbook (version 3.0). Retrieved from http://ies.ed.gov/ncee/wwc/pdf/reference_resources/wwc_procedures_v3_0_standards_

handbook.pdf

Yu, F.-Y. (2011). Multiple peer-assessment modes to augment online student question-generation

廖遠光、張澄清 學生擬題教學成效 39

processes. Computers & Education, 56(6), 484-494. doi:10.1016/j.compedu.2010.08.025 Yu, F.-Y., Liu, Y.-H., & Chan, T.-W. (2005). A web-based learning system for question-posing and

peer assessment. Innovations in Education and Teaching International, 42(4), 337-348. doi:10.

1080/14703290500062557

40 學生擬題教學成效 廖遠光、張澄清

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