Australian Education Council. (1990). A National Statement on Mathematics for Australian Schools. Curriculum Corporation.
Ayalon, M., & Even, R. (2008). Deductive reasoning: in the eye of the beholder. Educational Studies in Mathematics, 69(3), 235-247. https://doi.org/10.1007/s10649-008-9136-2
Bal-İncebacak, B., & Ersoy, E. (2016). Analysis of mathematical reasoning ability of the grade 7 students according to TIMSS. Journal of International Social Research, 9(46), 474-481.
Baye, A., & Monseur, C. (2016). Gender differences in variability and extreme scores in an international context. Large-scale Assessments in Education, 4(1), 1-16. https://doi.org/10.1186/s40536-015-0015-x
Brady, S. R. (2015). Utilizing and adapting the Delphi method for use in qualitative research. International Journal of Qualitative Methods, 14(5), 1609406915621381.
Cheng, J., Zheng, X., & Zhu, Y. (2021). Chinese Eighth Graders’ Competencies in Mathematical Reasoning. In Beyond Shanghai and PISA: Cognitive and Non-cognitive Competencies of Chinese Students in Mathematics (pp. 187-207). Cham: Springer International Publishing.
Chianson, M. M. (2012). School location as a correlate of mathematics students’ achievement in a cooperative learning class. Journal of Education and Leadership Development, 4(1), 42-46.
Clauser, B. E., Baldwin, P., Margolis, M. J., Mee, J., & Winward, M. (2017). An experimental study of the internal consistency of judgments made in bookmark standard setting. Journal of Educational Measurement, 54(4), 481-497.
Çoban, H., & Tezci, E. (2020). Developing the mathematical reasoning skills assessment scale. OPUS International Journal of Society Researches, 15(24), 28052837. https://doi.org/10.26466/opus.610197
Cocchi, L., Halford, G. S., Zalesky, A., Harding, I. H., Ramm, B. J., Cutmore, T., ... & Mattingley, J. B. (2014). Complexity in relational processing predicts changes in functional brain network dynamics. Cerebral Cortex, 24(9), 2283–2296.
Durand-Guerrier, V., Boero, P., Douek, N., Epp, S. S., & Tanguay, D. (2012). Argumentation and proof in the mathematics classroom. Proof and proving in mathematics education: The 19th ICMI study, 349–367.
Embretson, S. E., & Reise, P. E. (2000). Item response theory for psychologists. Mahwah (NJ): Lawrence Earlbaum Associates. Inc.[Google Scholar].
Evans, J. S. B. (2008). Dual-processing accounts of reasoning, judgment, and social cognition. Annu. Rev. Psychol., 59, 255-278.
Fennema, E., & Sherman, J. (1977). Sex-related differences in mathematics achievement, spatial visualization, and affective factors. American Educational Research Journal, 14, 51–71.
Foltz, C., & Overton, W. F. (1995). Proof construction: Adolescent development from inductive to deductive problem-solving strategies. Journal of Experimental Child Psychology, 59(2), 179-195.
Forgasz, H. J., & Hill, J. C. (2013). Factors implicated in high mathematics achievement. International Journal of Science and Mathematics Education, 11(2), 481-499. https://doi.org/10.1007/s10763-012-9348-x
Friedman, L. (1989). Mathematics and the Gender Gap: A Met-Analysis of Recent Studies on Sex Differences in Mathematical Tasks. Review of Educational Research, 59(2), 185-213. https://doi.org/10.3102/00346543059002185
Ganley, C., & Lubienski, S. (2016). Current research on gender differences in math. Teaching Children Mathematics. http://www.nctm.org/Publications/Teaching-Children-Mathematics/Blog/Current-Research-on-GenderDifferences-in-Math/
Graham, S. E., & Provost, L. E. (2012). Mathematics Achievement Gaps between Suburban Students and Their Rural and Urban Peers Increase over Time. Issue Brief No. 52. Carsey Institute.
Griggs, R. A., & Cox, J. R. (1982). The elusive thematic‐materials effect in Wason’s selection task. British journal of psychology, 73(3), 407-420.
Grissmer, D. W. (1994). Student achievement and the changing American family. Lilly Endowment, Inc.
Halford, G. S., Wilson, W. H., Andrews, G., & Phillips, S. (2014). Categorizing cognition: Toward conceptual coherence in the foundations of psychology. MIT Press.
Halpern, D. F., Benbow, C. P., Geary, D. C., Gur, R., Hyde, J. S., & Gernsbacher, M. A. (2007). The science of sex differences in science and mathematics. Psychological Science in the Public Interest, 8, 1–51.
Hanna, G. (1990). Some pedagogical aspects of proof. Interchange, 21(1), 6–13.
Hanushek, E. A. (1997). Assessing the Effects of School Resources on Student Performance: An Update. Educational Evaluation and Policy Analysis, 19(2), 141-164. https://doi.org/10.3102/01623737019002141
Harel, G., & Weber, K. (2020). Deductive Reasoning in Mathematics Education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 183–190). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_43
Hyde, J. S., Fennema, E., & Lamon, S. J. (1990). Gender differences in mathematics performance: a meta-analysis. Psychological Bulletin, 107(2), 139. https://doi.org/10.1037/0033-2909.107.2.139
Ibrahim, N. N., Ayub, A. F. M., Yunus, A. S. M., & Mahmud, R. (2019). Effects of higher order thinking module approach on pupils’ performance at primary rural school. Malaysian Journal of Mathematical Sciences, 13(2), 211-229.
Inglis, M. J., & Simpson, A. (2008). Conditional inference and advanced mathematical study. Educational Studies in Mathematics, 67, 187–204.
Inglis, M. J., & Simpson, A. (2009). Conditional inference and advanced mathematical study: Further evidence. Educational Studies in Mathematics, 72, 185-198.
Israel Ministry of Education and Culture. (1990). The mathematics curriculum in grades. Israel Ministry of Education and Culture.
Leahey, E., & Guo, G. (2001). Gender differences in mathematical trajectories. Social forces, 80(2), 713-732. https://doi.org/10.1353/sof.2001.0102
Leder, G. C. (2019). Gender and mathematics education: An overview. Compendium for early career researchers in mathematics education, 289–308.
Lewis, D. M. (1996). Standard setting: A bookmark approach. In IRT-based standard setting procedures utilizing behavioral anchoring, DR Green (Chair), Symposium conducted at the Council of Chief State School Officers National Conference on Large-Scale Assessment, Phoenix, AZ, 1996.
Lindberg, S. M., Hyde, J. S., Petersen, J. L., et al. (2010). New trends in gender and mathematics performance: a meta-analysis. Psychological Bulletin, 136(6), 1123-1135. https://doi.org/10.1037/a0021276
Loong, E., Vale, C., Widjaja, W., Herbert, S., Bragg, L. A., & Davidson, A. (2018). Developing a Rubric for Assessing Mathematical Reasoning: A Design-Based Research Study in Primary Classrooms. Mathematics Education Research Group of Australasia.
Ministry of Education of the People’s Republic of China. (2012). Mathematics Curriculum Standards for Compulsory Education (2011 version). Beijing Normal University Press.
Ministry of Education of the People’s Republic of China. (2020). Mathematics Curriculum Standards for Senior Secondary Schools (2017 version 2020 revised). People’s Education Press.
Ministry of Education of the People’s Republic of China. (2022). Compulsory Education Mathematics Curriculum Standards (2021 Version). Beijing Normal University Press.
Morsanyi, K., Devine, A., Nobes, A., & Szűcs, D. (2013). The link between logic, mathematics and imagination: Evidence from children with developmental dyscalculia and mathematically gifted children. Developmental science, 16(4), 542-553.
Morsanyi, K., Kahl, T., & Rooney, R. (2016). The link between math and logic in adolescence: The effect of argument form. In Individual Differences in Judgement and Decision-Making (pp. 176–195). Psychology Press.
Morsanyi, K., McCormack, T., & O’Mahony, E. (2018). The link between deductive reasoning and mathematics. Thinking & Reasoning, 24(2), 234-257.
Mullis, I. V. S., Martin, M. O., & Loveless, T. (2016). International Trends in Mathematics and Science Achievement, Curriculum, and Instruction: Trends in International Mathematics and Science Study. Paris: IEA, 90.
Mullis, I. V., Martin, M. O., Foy, P., Kelly, D. L., & Fishbein, B. (2020). TIMSS 2019 international results in mathematics and science. Retrieved from Boston College, TIMSS & PIRLS International Study Center website: https://timss2019.org/reports
Mullis, I.V.S. & Martin, M.O. (Eds.) (2013). TIMSS 2015 Assessment Frameworks. Retrieved from Boston College, TIMSS & PIRLS International Study Center website: https://timssandpirls.bc.edu/timss2015/frameworks.html
National Academy of Sciences. (2006). Beyond bias and barriers: Fulfilling the potential of women in academic science and engineering. Washington, DC: National Academies Press.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics
New Zealand Ministry of Education. (1991). The New Zealand Curriculum Framework. Retrieved September 19, 2022, from http://www.tki.org.nz/r/maths/curriculum/statement/p8_e.php
Ni, Y. J., Cai, J., Hau, K. T., & Li, Q. (2009). Has curriculum reform made a difference: looking for change in classroom practice. RGC Grant Report.
Niss, M. A., & Højgaard, T. (2011). Competencies and mathematical learning: Ideas and inspiration for the development of mathematics teaching and learning in Denmark. http://pure.au.dk/portal/files/41669781/THJ11_MN_KOM_in_english.pdf
Nosek, B. A., Smyth, F. L., Sriram, N., Lindner, N. M., Devos, T., Ayala, A., . . . Greenwald, A. G. (2009). National differences in gender–science stereotypes predict national sex differences in science and math achievement. Proceeding of the National Academy of Sciences, 106(26), 10593– 10597. https://doi.org/10.1073/pnas.0809921106
OECD. (2003). The PISA 2003 assessment framework: Mathematics, reading, science and problem-solving knowledge and skills. OECD Publishing.
OECD. (2013). PISA 2012 Assessment and Analytical Framework. https://doi.org/10.1787/9789264190511-en
OECD. (2017). PISA 2015 Mathematics Framework. https://doi.org/10.1787/9789264281820-5-en
OECD. (2018). PISA 2021 Mathematics Framework (Draft). Available online: http://www.oecd.org/pisa/pisaproducts/pisa-2021-mathematics-framework-draft.pdf (accessed on 3 December 2022).
OECD. (2019a). PISA 2018 Mathematics Framework. https://doi.org/10.1787/13c8a22c-en
OECD. (2019b). PISA 2018 Results (Volume I). https://doi.org/10.1787/5f07c754-en
Piaget, J., & Ackermann-Valladao, E. (1987). Possibility and Necessity: The Role of Possibility in Cognitive Development.-159 S. University of Minnesota Press.
Qualifications and Curriculum Authority. (2006). National curriculum online. Retrieved September 19, 2022, from http://www.tki.org.nz/r/maths/curriculum/statement/p8_e.php
Ragni, M., Kola, I., & Johnson-Laird, P. (2017). The Wason Selection task: A Meta-Analysis. In CogSci.
Ren, C. R., & Xin, T. (2013). Longitudinal study on predicting effect of social economic status on students’ performance. Educational Research, 34(3), 79-87.
Shi, N. Z. (2016). Logicality in the Process of Mathematical Reasoning. Journal of Mathematics Education, 25(4), 1–16, 46.
Stylianides, A. L. (2007). Proof and proving in school mathematics. Journal for Research in Mathematics Education, 38(3), 289-321. https://doi.org/10.2307/30034869
Stylianides, G. J., & Stylianides, A. J. (2008). Proof in school mathematics: Insights from psychological research into students’ ability for deductive reasoning. Mathematical thinking and learning, 10(2), 103-133. https://doi.org/10.1080/10986060701854425
Sumpter, L. (2016). Investigating upper secondary school teachers’ conceptions: Is mathematical reasoning considered gendered?. International Journal of Science and Mathematics Education, 14, 347-362.
Wang, L., Li, X., & Li, N. (2014). Socio-economic status and mathematics achievement in China: a review. ZDM Mathematics Education, 46(7), 1051-1060. https://doi.org/10.1007/s11858-014-0617-8
Wason, P. C. 1968. Reasoning about a rule. Quarterly Journal of Experimental Psychology, 20, 273-81.
Wason, P. C., & Shapiro, D. (1971). Natural and contrived experience in a reasoning problem. Quarterly journal of experimental psychology, 23(1), 63-71.
Wilder, G. Z., & Powell, K. (1989). Sex differences in test performance: A survey of literature (Vol. 89). New York: College Entrance Examination Board. https://eric.ed.gov/?id=ED308231
Willingham, W. W., Cole, N. S., Bridgeman, B., Dwyer, C. A., Johnson, L. M., Leung, S. W., ... & Wilder, G. Z. (2013). Research on gender differences. In Gender and fair assessment (pp. 17–54). Routledge.
Zhang, X. (2000). Welcome the new era of math education: The reading of the mathematical curriculum standards under full-time compulsory education. Beijing Normal University Press.
Zhu, Y., Kaiser, G., & Cai, J. (2018). Gender equity in mathematical achievement: the case of China. Educational Studies in Mathematics, 99(3), 245-260. https://doi.org/10.1007/s10649-018-9846-z
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