فراتحلیل کیفی چارچوب‌های ارزیابی مهارت‌های طرح مسئلة ریاضی

 

Bicer, A., Lee, Y., Perihan, C., Capraro, M. M., & Capraro, R. M. (2020). Considering mathematical creative self-efficacy with problem posing as a measure of mathematical creativity. Educational Studies in Mathematics, 105(3), 457–485.

Brown, S. I., & Walter, M. I. (1993). Problem posing in mathematics education. Problem Posing: Reflection and Applications, Hillsdale, New Jersey: Lawrence Erlbaum Associates, 16–27.

Brown, S. I., & Walter, M. I. (2005). The art of problem posing. Psychology Press.

Cai, J. (1998). An investigation of US and Chinese students' mathematical problem-posing and problemsolving. Mathematics Education Research Journal, 10(1), 37–50.

Cai, J., & Hwang, S. (2020). Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102.

Cai, J., & Leikin, R. (2020). Affect in mathematical problem posing: conceptualization, advances, and future directions for research. Educational Studies in Mathematics, 105(3), 287–301.

Cai, J., Hwang, S., Jiang, C., & 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.

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.

Çakır, A., & Akkoç, H. (2020). Examining socio-mathematical norms related to problem posing: a case of a gifted and talented mathematics classroom. Educational Studies in Mathematics, 105(1), 19–34.

Cankoy, O. (2014). Interlocked problem posing and children’s problem posing performance in free structured situations. International Journal of Science and Mathematics Education, 12(1), 219–238.

Cankoy, O., & Özder, H. (2017). Generalizability theory research on developing a scoring rubric to assess primary school students’ problem posing skills. Eurasia Journal of Mathematics, Science and Technology Education, 13(6), 2423–2439.

Chen, L., Van Dooren, W. V., & Verschaffel, L. (2015). Enhancing the development of Chinese fifth-graders’ problem-posing and problem-solving abilities, beliefs, and attitudes: A design experiment. In F. M. Singer, N. F. Ellerton, & J. Cai (Eds.), Mathematical problem posing from research to effective practice (pp. 309–328). New York, NY: Springer.

Crespo, S.&  Harper, F. (2020). Learning to pose collaborative mathematics problems with secondary prospective teachers. International Journal of Educational Research, 102, 101430.

Ekici, D. (2016). Ortaokul öğrencilerinin matematiksel problem kurma stratejilerinin incelenmesi. Unpublished master dissertation. University of Dokuz Eylül, İzmir.

English, L. D. (1997). Promoting a problem-posing classroom. Teaching Children Mathematics, 4(3), 172–179.

English, L. D. (1998). Children's problem-posing within formal and informal contexts. Journal for Research in Mathematics Education, 29(1), 83–106.

Erdik, C. (2019). Investigation of Mathematics Teachers' Opinions about Problem Posing. Journal on Mathematics Education, 10(1), 1–20.

Ervynck, G. (2002). Mathematical creativity. In Advanced mathematical thinking (pp. 42–53). Springer, Dordrecht.

Garwood, J. D., McKenna, J. W., Roberts, G. J., Ciullo, S., & Shin, M. (2021). Social studies content knowledge interventions for students with emotional and behavioral disorders: A meta-analysis. Behavior modification, 45(1), 147–176.

Geçici, M. E., & Aydin, M. (2020). Determining the Geometry Problem Posing Performances of Eighth Grade Students in Different Problem Posing Situations. International Journal of Contemporary Educational Research, 7(1), 1–17.

Gonzales, N. A. (1994). Problem posing: A neglected component in mathematics courses for prospective elementary and middle school teachers. School Science and Mathematics, 94(2), 78–84.

Gonzales, N. A. (1998). A blueprint for problem posing. School Science and Mathematics, 98(8), 448–456.

Guilford, J. P. (1967). The nature of human intelligence.

Güveli, E. (2015). Prospective elementary mathematics teachers’ problem posing skills about absolute value. Turkish Journal of Teacher Education, 4(1), 1-17.

Harper, F. K. (2019). Collaboration and Critical Mathematical Inquiry: Negotiating Mathematics Engagement, Identity, and Agency. Occasional Paper Series, 2019(41), 5.

Horn, I. S. (2012). Strength in Numbers. Reston, VA: National Council of Teachers.

Hsiao, J. Y., Hung, C. L., Lan, Y. F., & Jeng, Y. C. (2013). Integrating Worked Examples into Problem Posing in a Web-Based Learning Environment. Turkish Online Journal of Educational Technology-TOJET, 12(2), 166–176.

Kan, A. (2007). Effects of using a scoring guide on essay scores: Generalizability theory. Perceptual and Motor skills, 105(3), 891–905.

Khajidmaa, O. (2020). Examining Mathematical Creativity Among Mongolian Ninth-Grade Students Using Problem-Posing Approach.

Kılıç, Ç. (2017). A new problem-posing approach based on problem-solving strategy: Analyzing pre-service primary school teachers’ performance. Educational Sciences: Theory & Practice, 17(3).

Klein, S., & Leikin, R. (2020). Opening mathematical problems for posing open mathematical tasks: what do teachers do and feel?. Educational Studies in Mathematics, 105(3), 349–365.

Koedinger, K. R., & Nathan, M. J. (2004). The real story behind story problems: Effects of representations on quantitative reasoning. The journal of the learning sciences, 13(2), 129-164.

Lee, S. Y. (2020). Research Status of Mathematical Problem Posing in Mathematics Education Journals. International Journal of Science and Mathematics Education, 1–17.

Leikin, R. (2009). Exploring mathematical creativity using multiple solution tasks. In Creativity in mathematics and the education of gifted students (pp. 129–145). Brill Sense.

Leikin, R. (2015). Problem posing for and through investigations in a dynamic geometry environment. In Mathematical problem posing (pp. 373-391). Springer, New York, NY.

Leikin, R., & Elgrably, H. (2020). Problem posing through investigations for the development and evaluation of proof-related skills and creativity skills of prospective high school mathematics teachers. International Journal of Educational Research, 102, 101424.

Leikin, R., & Lev, M. (2007, July). Multiple solution tasks as a magnifying glass for observation of mathematical creativity. In Proceedings of the 31st international conference for the psychology of mathematics education (Vol. 3, pp. 161–168).

Leung, S. S., & Silver, E. A. (1997). The role of task format, mathematics knowledge, and creative thinking on the arithmetic problem posing of prospective elementary school teachers. Mathematics Education Research Journal, 9(1), 5–24.

Liljedahl, P., & Sriraman, B. (2006). Musings on mathematical creativity. For the learning of mathematics, 26(1), 17-19.

Luna Scott, C. (2015). The Futures of Learning 3: What kind of pedagogies for the 21st century?.

McLoughlin, C., & Lee, M. J. (2008). The three p's of pedagogy for the networked society: Personalization, participation, and productivity. International Journal of Teaching and Learning in Higher Education, 20(1), 10–27.

Munakata, M., Vaidya, A., Monahan, C., & Krupa, E. (2021). Promoting Creativity in General Education Mathematics Courses. PRIMUS, 31(1), 37–55.

National Council of Teachers of Mathematics. (1995). Assessment standards for school mathematics. Reston, VA: Author.

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.

Nedaei, M., Radmehr, F., & Drake, M. (2021). Exploring undergraduate engineering students’ mathematical problem-posing: the case of integral-area relationships in integral calculus. Mathematical Thinking and Learning, 1–27.

Novak, J. R., Herman, J. L., & Gearhart, M. (1996). Establishing validity for performance-based assessments: An illustration for collections of student writing. The Journal of Educational Research, 89(4), 220–233.

Palmér, H., & van Bommel, J. (2020). Young students posing problem-solving tasks: what does posing a similar task imply to students?. ZDM, 1–10.

Pehkonen, E. (1993). On teachers’ criteria to assess mathematical activities. In Proceedings of the seventeenth PME conference (Vol. 1, pp. 220–227).

Pólya, G. (1954). Mathematics and plausible reasoning: Induction and analogy in Mathematics (Vol. 1). Princeton University Press.

Putra, H. D., Herman, T., & Sumarmo, U. (2017). Development of student worksheets to improve the ability of mathematical problem posing. International Journal on Emerging Mathematics Education, 1(1), 1–10.

Ross, J., Curwood, J. S., & Bell, A. (2020). A multimodal assessment framework for higher education. E-Learning and Digital Media, 17(4), 290-306.

Schindler, M., & Bakker, A. (2020). Affective field during collaborative problem posing and problem solving: a case study. Educational Studies in Mathematics, 1–22.

Shavelson, R. J., & Webb, N. M. (1991). A primer on generalizability theory. Sage Publications.

Silver, E. A. (1994). On mathematical problem posing. For the learning of mathematics, 14(1), 19–28.

Silver, E. A., & Cai, J. (1996). An analysis of arithmetic problem posing by middle school students. Journal for research in mathematics education, 521–539.

Singer, F. M., Ellerton, N. F., & Cai, J. (Eds.). (2015). Mathematical problem posing: From research to effective practice. Springer.

Sriraman, B. (2005). “Are giftedness and creativity synonyms in mathematics?”, Journal of Secondary Gifted Education, 17(1), 20–36.

Sriraman, B. (2006). Conceptualizing the model-eliciting perspective of mathematical problem solving. In Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education (pp. 1686–1695).

Stoyanova, E. (1997). Extending and exploring students’ problem solving via problem posing: A study of years 8 and 9 students involved in mathematics challenge and enrichment stages of Euler enrichment program for young Australians (Unpublished doctoral dissertation). Edith Cowan University, Perth, Australia.

Stoyanova, E. (2005). Problem-Posing Strategies Used by Years 8 and 9 Students. Australian Mathematics Teacher, 61(3), 6–11.

Stoyanova, E., & Ellerton, N. F. (1996). A framework for research into students’ problem posing in school mathematics. Technology in mathematics education, 518-525.

Suryanti, S., & Arifani, Y. (2021). The Relationship between Blended Mathematics Professional Training and Teachers’ Creativity and Effectiveness. International Journal of Instruction, 14(2), 139–154.

Timulak, L. (2009). Meta-analysis of qualitative studies: A tool for reviewing qualitative research findings in psychotherapy. Psychotherapy Research, 19(4-5), 591–600.

Toheri, T., Winarso, W., & Haqq, A. A. (2020). Where Exactly for Enhance Critical and Creative Thinking: Where Exactly for Enhance Critical and Creative Thinking: The Use of Problem Posing or Contextual Learning.

Torrance, E. P. (1974). “Norms-technical manual: Torrance Tests of Creative Thinking”, Lexington, MA: Ginn and Company.

Ümit, K. U. L., & ÇELİK, S. (2020). A Meta-Analysis of the Impact of Problem Posing Strategies on Students’ Learning of Mathematics. Revista Romaneasca pentru Educatie Multidimensionala, 12(3), 341-368.

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.

Voica, C., Singer, F. M., & Stan, E. (2020). How are motivation and self-efficacy interacting in problem-solving and problem-posing?. Educational Studies in Mathematics, 105(3), 487–517.

Yildiz, Z., & Ozdemir, A. S. (2014). A Study on the Problem Posing Performance of Student Mathematics Teachers. International Journal of Academic Research, 6(5).

Uan, X., & Sriraman, B. (2011). An exploratory study of relationships between students’ creativity and mathematical problem-posing abilities: Comparing Chinese and US students. In The elements of creativity and giftedness in mathematics (pp. 5–28). Brill Sense.