An experience of teaching algorithms using inquiry-based learning

References

• OECD (Organisation for Economic Co-operation and Development). Evolution of Student Interest in Science and Technology Studies Policy Report; 2006. Available from: http://www.oecd.org/science/sci-tech/36645825.pdf
   Google Scholar
• Fan L, Bokhove C. Rethinking the role of algorithms in school mathematics: a conceptual model with focus on cognitive development. JF-ZDM. 2014;46(3):481–492.
   Google Scholar
• Capone R, Laudano F, Tortoriello FS, et al. Math high school: new perspective in Math education. In: Novo-Corti I, editor. Proceedings of the Vth International conference on Economic Development and Social Sustainability. A Coruña: University of A Coruña; 2016. p. 174.
   Google Scholar
• Laudano F, Vincenzi G. Congruence theorems for quadrilaterals. J Geometry Graph. 2017;21(1):45–59.
   Web of Science ®Google Scholar
• Laudano F. A generalization of the remainder theorem and factor theorem. Int J Math Edu Sci Technol. 2018. doi: 10.1080/0020739X.2018.1522676
   Web of Science ®Google Scholar
• McLoughlin MPMM. Inquiry-based learning: an educational reform based upon content centered teaching. Paper presented at the Annual Meeting of the Mathematics Association of America; 2009 January 5–8; Washington, DC.
   Google Scholar
• Dewey J. Experience and education. New York (NY): Macmillan; 1983.
   Google Scholar
• Laursen SL, Hassi ML, Hough S. Implementation and outcomes of inquiry-based learning, in mathematics content courses for preservice teachers. Int J Math Edu Sci Technol. 2016;47(2):256–275. doi: 10.1080/0020739X.2015.1068390
   Web of Science ®Google Scholar
• Wiggins H, Harding A, Engelbrecht J. Student enrichment in mathematics: a case study with first year university students. Int J Math Edu Sci Technol. 2017;48(sup. 1):16–29. doi: 10.1080/0020739X.2017.1352046
   Web of Science ®Google Scholar
• Zachos P, Hick T, Doanne W E, et al. Setting theoretical and empirical foundations for assessing scientific inquiry and discovery in educational programs. J Res Sci Teach. 2010;37(9):938–962. doi: 10.1002/1098-2736(200011)37:9<938::AID-TEA5>3.0.CO;2-S
   Web of Science ®Google Scholar
• Chang JM. A practical approach to inquiry-based learning in linear algebra. Int J Math Edu Sci Technol. 2011;42(2):245–259. doi: 10.1080/0020739X.2010.519795
   Google Scholar
• Ramazan G. The effect of activity-based instruction on conceptual development of seventh grade students in probability. Int J Math Edu Sci Technol. 2010;41(6):743–767. doi: 10.1080/00207391003675158
   Google Scholar
• Dreye J, Moeskr LD, Hjelmborg MD, et al. Inquiry-based learning in mathematics education: important themes in the literature. In Research of Department of Mathematics and Science Education, Stockholm University, 2016. Available from: https://www.mnd.su.se/om-oss/evenemang/norma-17/programme/paper-session-1/drey.
   Google Scholar
• Bruner JS. The process of education. Cambridge (MA): Harvard University Press; 1967.
   Google Scholar
• Santos-Trigo M. An inquiry approach to construct instructional trajectories based on the use of digital technologies. Eurasia J Math Sci Technol Educ. 2008;4(4):347–357. doi: 10.12973/ejmste/75361
   Google Scholar
• Rasmussen C, Marrongelle K, Kwon ON, et al. Four goal for instructors using inquiry-based learning. Not Am Math Soc. 2017;64(11):1308–1311.
   Google Scholar
• Qiang J. Effects of digital flipped classroom teaching method integrated cooperative learning model on learning motivation and outcome. Eurasia J Math Sci Technol Educ. 2018;14(6):2213–2220. doi: 10.29333/ejmste/86130
   Google Scholar
• Zakaria E, Iksan Z. Promoting cooperative learning in science and mathematics education: a Malaysian perspective. Eurasia J Math Sci Technol Educ. 2007;3(1):35–39. doi: 10.12973/ejmste/75372
   Google Scholar
• Denzin N. The research act. Englewood Cliffs (NJ): Prentice Hall; 1984.
   Google Scholar
• Yin R. Applications of case study research. Newbury Park (CA): Sage Publishing; 1983.
   Google Scholar
• Potvin P, Hasni A. Analysis of the decline in interest towards school science and technology from grades 5 through 11. J Sci Educ Technol. 2014;23(6):784–802. doi: 10.1007/s10956-014-9512-x
   Web of Science ®Google Scholar
• Prensky M. Digital natives, digital immigrants part 1. On Horizon. 2011;9(5):1–6. doi: 10.1108/10748120110424816
   Google Scholar
• Dickson LE. History of theory of numbers. Vol. I. Washington (DC): Carnegie Institution; 1919. p. 337–346.
   Google Scholar
• Weitsman J. A general test for divisibility by primes. Math Gazette. 1980;64(430):255–262. doi: 10.2307/3616725
   Google Scholar
• Cherniavski J, Mouftakhov A. Zbikowskis divisibility criterion. Coll Math J. 2014;45(1):17–21. doi: 10.4169/college.math.j.45.1.017
   Google Scholar