Computational thinking and constructionism: creating difference equations in spreadsheets

References

• Denning PJ. Computational thinking in science. Am Sci. 2017;105(1):13–17.
   Web of Science ®Google Scholar
• Aho A. Computation and computational thinking. Ubiquity Symposium. 2011.
   Google Scholar
• Wilson KG. Grand challenges to computational science. Future Gener Comput Syst. 1989;5:171–189.
   Google Scholar
• Wing J. Computational thinking. Commun ACM. 2006;49:33–35.
   Web of Science ®Google Scholar
• Tedre M, Denning PJ. The long quest for computational thinking. Proceedings of the 16th Koli Calling Conference on Computing Education Research; 2016 Nov 24–27; Koli, Finland, p. 120–129.
   Google Scholar
• Committee for the Workshops on Computational Thinking, National Research Council. Report of a workshop on the scope and nature of computational thinking. Washington (DC): National Academies Press; 2010.
   Google Scholar
• Yeh KC, Xie Y, Ke F. Teaching computational thinking to non-computing majors using spreadsheet functions. Proceedings of Frontiers in Education Conference; 2011 Oct 11–15; Rapid City, SD, p. F3J-1.
   Google Scholar
• Hofstein A, Lunetta VN. The laboratory in science education: foundations for the twenty-first century. Sci Educ. 2004;88(1):28–54.
   Web of Science ®Google Scholar
• Zwickl BM, Hu D, Finkelstein N, Lewandowski HJ. Model-based reasoning in the physics laboratory: framework and initial results. Phys Rev Spec Top Ph. 2015;11(2):020113.
   Web of Science ®Google Scholar
• Pevzner P. Educating biologists in the 21st century: bioinformatics scientists versus bioinformatic technicians. Bioinformatics. 2004;20(14):2159–2161.
   PubMed Web of Science ®Google Scholar
• Qin H. Teaching computational thinking through bioinformatics to biology students. ACM SIGCSE Bull. 2009; 41:188–191.
   Google Scholar
• Rubinstein A, Chor B. Computational thinking in life science education. PLoS Comput Biol. 2014;10(11):e1003897.
   PubMed Web of Science ®Google Scholar
• Papert S. Mindstorms: children, computers, and powerful ideas. New York (NY): Basic Books, Inc.; 1980.
   Google Scholar
• Martin A. An integrated introduction to spreadsheet and programming skills for operational research students. J Oper Res Soc. 2000;51:1399–1408.
   Web of Science ®Google Scholar
• Baker J, Sugden SJ. Spreadsheets in education–the first 25 years. Spreadsheets Educ. 2007;1(1):18–43.
   Google Scholar
• Morishita E, Iwata Y, Yoshida KY, Yoshida H. Spreadsheet fluid dynamics for aeronautical course problems. Int J Eng Educ. 2001;17(3):294–311.
   Web of Science ®Google Scholar
• Panko RR. Applying code inspection to spreadsheet testing. ‎J Manag Inf Syst. 1999;16(2):159–176.
   Web of Science ®Google Scholar
• Ernest P. Constructivism, the psychology of learning, and the nature of mathematics: some critical issues. Sci Educ. 1993;2(1):87–93.
   Google Scholar
• Abramovich S, Stanton M, Baer E. What are Billy’s chances? Computer spreadsheet as a learning tool for younger children and their teachers alike. J Comp Math Sci Teach. 2002;21(2):127–145.
   Google Scholar
• Lai CL, Hwang GJ. A spreadsheet-based visualized Mindtool for improving students’ learning performance in identifying relationships between numerical variables. Interact Learn Envir. 2015;23(2):230–249.
   Web of Science ®Google Scholar
• Benacka J. Introduction to integral calculus at high school through calculating area and volume with spreadsheets. Int J Math Educ Sci Technol. 2016;47(1):149–155.
   Web of Science ®Google Scholar
• de Levie, R. How to use Excel in analytical chemistry and in general scientific data analysis. Cambridge: Cambridge University Press; 2001.
   Google Scholar
• Lim K. Using spreadsheets in chemical education to avoid symbolic mathematics. Using Computers in Chemical Education. Spring 2003.
   Google Scholar
• Benacka J. Spreadsheet application showing the proper elevation angle, points of shot and impact of a projectile. Phys Educ. 2015;50(3):342–347.
   Google Scholar
• Soman KP, Kumar S, Soumya V, Shajeesh KU. Computational thinking with spreadsheet: convolution, high-precision computing and filtering of signals and images. Int J Comp Appl. 2012;60(19):1–7.
   Google Scholar
• Levin I, Rozenzweig H. Spreadsheet learning environment for teaching advanced topics in computer engineering. Proceedings of the European Workshop on Microelectronics Education; 2012 May 9–11; Grenoble, France.
   Google Scholar
• Levin I, Korenblit M, Talis V. Developing students’ awareness of network dynamics by spreadsheet environment. J Mod Educ Rev. 2014;4(11):950–962.
   Google Scholar
• Grigore I, Miron C, Barna ES. Exploring the graphic facilities of Excel spreadsheets in the interactive teaching and learning of damped harmonic oscillations. Rom Rep Phys. 2016;68(2):891–904.
   Web of Science ®Google Scholar
• Nisawa Y, Moriya S. Evaluation of teaching activities with multi-variable functions in context. In: Kaiser G, Blum W, Borromeo FR, Stillman G, editors. Trends in teaching and learning of mathematical modelling. Heidelberg: Springer; 2011. p. 117–126.
   Google Scholar
• Tay KG, Cheong TH, Lee MF, Kek SL, Abdul-Kahar R. A fourth-order Runge-Kutta (RK4) spreadsheet calculator for solving a system of two first-order ordinary differential equations using Visual Basic (VBA) programming. Spreadsheets Educ. 2015;8(1):5.
   Google Scholar
• Lau MA. Spreadsheet implementation of numerical and analytical solutions to some classical partial differential equations. Spreadsheets Educ. 2016;9(3):1.
   Web of Science ®Google Scholar
• Oliveira M, Nápoles S. Functions and mathematical modelling with spreadsheets. Spreadsheets Educ. 2017;10(2):1.
   Web of Science ®Google Scholar
• Fowler M. Using Excel to simulate pendulum motion and maybe understand calculus a little better. Sci Educ. 2005;13:791–796.
   Google Scholar
• Barbin E, Menghini M. History of teaching geometry. In: Karp A, Schubring G, editors. Handbook on the history of mathematics education. New York (NY): Springer; 2014. p. 473–492.
   Google Scholar
• Abramovich S, Levin I. Spreadsheet in teaching and learning topics in calculus. Int J Math Educ Sci Technol. 1994;25(2):263–275.
   Google Scholar
• Chua L. Memristor – the missing circuit element. IEEE Trans Circuit Theory. 1971;18(5):507–519.
   Google Scholar
• Stavrinides SG. How to teach memristors in school. Phys Educ. 2017;52(3):033008.
   Google Scholar
• Albo-Canals J, Pazienza GE. How to teach memristors in EE undergraduate courses. Proceedings of the 2011 IEEE International Symposium on Circuits and Systems (ISCAS); 2011 May.
   Google Scholar
• Biolek Z, Biolek D, Biolkova V. Charging the capacitor via a (Memory) resistor. Proceedings of the IEEE Asia Pacific Conference on Circuits and Systems (APCCAS); 2016 Oct; p. 621–624.
   Google Scholar