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References
Abramovich S (2015) Mathematical problem posing as a link between algorithmic thinking and conceptual knowledge. Teach Math 18(2):45–60. http://elib.mi.sanu.ac.rs/files/journals/tm/35/tmn35p45-60.pdf
Artigue M (2010) The future of teaching and learning mathematics with digital technologies. In: Hoyles C, Lagrange JB (eds) Mathematics education and technology – rethinking the terrain. The 17th ICMI study. Springer, New York, pp 463–476. https://doi.org/10.1007/978-1-4419-0146-0_23
Australian Curriculum, Assessment and reporting Authority (ACARA) (2016) Digital technologies. Retrieved from http://docs.acara.edu.au/resources/Digital_Technologies_-_Sequence_of_content.pdf
Bocconi S, Chioccariello A, Dettori G, Ferrari A, Engelhardt K (2016) Developing computational thinking in compulsory education. European Union, European Commission, Joint Research Centre, Luxemburg
Brennan K, Resnick M (2012) New frameworks for studying and assessing the development of computational thinking. In: Proceedings of the 2012 annual meeting of the American Educational Research Association, Vancouver. https://web.media.mit.edu/~kbrennan/files/Brennan_Resnick_AERA2012_CT.pdf
Department of Education (UK) (2013) National Curriculum in England: computing programmes of study. https://www.gov.uk/government/publications/national-curriculum-in-england-computing-programmes-of-study/national-curriculum-in-england-computing-programmes-of-study
Drijvers P (2018) Tools and taxonomies: a response to Hoyles. Res Math Edu 20(3):229–235. https://doi.org/10.1080/14794802.2018.1522269
Drijvers P, Kodde-Buitenhuis H, Doorman M (2019) Assessing mathematical thinking as part of curriculum reform in the Netherlands. Educ Stud Math. https://doi.org/10.1007/s10649-019-09905-7
Hickmott D, Prieto-Rodriguez E, Holmes K (2018) A scoping review of studies on computational thinking in K–12 mathematics classrooms. Digit Exp Math Edu 4(1):48–69. https://doi.org/10.1007/s40751-017-0038-8
Hoyles C. Noss R (2015) Revisiting programming to enhance mathematics learning. In: Paper presented at Math + coding symposium. Western University, London
Kadijevich DM (2018) A cycle of computational thinking. In: Trebinjac B, Jovanović S (eds) Proceedings of the 9th international conference on e-learning. Metropolitan University, Belgrade, pp 75–77. https://econference.metropolitan.ac.rs/wp-content/uploads/2019/05/e-learning-2018-final.pdf
Kanemune S, Shirai S, Tani S (2017) Informatics and programming education at primary and secondary schools in Japan. Olympiads Inf 11:143–150. https://ioinformatics.org/journal/v11_2017_143_150.pdf
Kenderov PS (2018) Powering knowledge versus pouring facts. In: Kaiser G, Forgasz H, Graven M, Kuzniak A, Simmt E, Xu B (eds) Invited lectures from the 13th international congress on mathematical education. ICME-13 monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-72170-5_17
Kotsopoulos D, Floyd L, Khan S, Namukasa IK, Somanath S, Weber J, Yiu C (2017) A pedagogical framework for computational thinking. Digit Exp Math Edu 3(2):154–171
Lee I, Martin F, Denner J, Coulter B, Allan W, Erickson J, Malyn-Smith J, Werner L (2011) Computational thinking for youth in practice. ACM Inroads 2(1):33–37. https://users.soe.ucsc.edu/~linda/pubs/ACMInroads.pdf
Lockwood EE, DeJarnette A, Asay A, Thomas M (2016) Algorithmic thinking: an initial characterization of computational thinking in mathematics. In: Wood MB, Turner EE, Civil M, Eli JA (eds) Proceedings of the 38th annual meeting of the north American chapter of the International Group for the Psychology of mathematics education. The University of Arizona, Tucson, pp 1588–1595. https://files.eric.ed.gov/fulltext/ED583797.pdf
Ministere de l’Education Nationale (2016) Algorithmique et programmation. Author: Paris. http://cache.media.eduscol.education.fr/file/Algorithmique_et_programmation/67/9/RA16_C4_MATH_algorithmique_et_programmation_N.D_551679.pdf
Modeste S (2016) Impact of informatics on mathematics and its teaching. In: Gadducci F, Tavosanis M (eds) History and philosophy of computing. HaPoC 2015. IFIP advances in information and communication technology, vol 487. Springer, Cham, pp 243–255
Mouza C, Yang H, Pan Y-C, Ozden SY, Pollock L (2017) Resetting educational technology coursework for pre-service teachers: a computational thinking approach to the development of technological pedagogical content knowledge (TPACK). Australas J Educ Technol 33(3):61–76. https://doi.org/10.14742/ajet.3521
Papert S (1980) Mindstorms: children, computers, and powerful ideas. Basic Books, New York
Prime Minister’s Office (2016) Comprehensive schools in the digital age. Author: Helsinki Finland. https://valtioneuvosto.fi/en/article/-/asset_publisher/10616/selvitys-perusopetuksen-digitalisaatiosta-valmistunut
Scantamburlo T (2013) Philosophical aspects in pattern recognition research. A PhD dissertation, Department of informatics, Ca’ Foscari University of Venice, Venice. https://pdfs.semanticscholar.org/c36d/b973c9ed1fd666b3d14cdf464e4a74bdceb7.pdf
Shute VJ, Sun C, Asbell-Clarke J (2017) Demystifying computational thinking. Educ Res Rev 22:142–158. Internet. https://doi.org/10.1016/j.edurev.2017.09.003
Stephens M (2018) Embedding algorithmic thinking more clearly in the mathematics curriculum. In: Shimizu Y, Withal R (eds) Proceedings of ICMI study 24 School mathematics curriculum reforms: challenges, changes and opportunities. University of Tsukuba, pp 483–490. https://protect-au.mimecast.com/s/oa4TCJypvAf26XL9fVkPOr?domain=human.tsukuba.ac.jp
The Royal Society (2011) Shut down or restart? The way forward for computing in UK schools. The Author, London. https://royalsociety.org/~/media/education/computing-in-schools/2012-01-12-computing-in-schools.pdf
Victorian Curriculum and Assessment Authority (2017) Victorian certificate of education – algorithmics (a higher education scored subject) – study design (2017–2021). https://www.vcaa.vic.edu.au/Documents/vce/algorithmics/AlgorithmicsSD-2017.pdf
Weintrop D, Beheshti E, Horn M, Orno K, Jona K, Trouille L, Wilensky U (2016) Defining computational thinking for mathematics and science classroom. J Sci Educ Technol 25(1):127–141. https://doi.org/10.1007/s10956-015-9581-5
Webb M, Davis N, Bell T, Katz YJ, Reynolds N, Chambers DP, Sysło MM (2017) Computer science in K-12 school curricula of the 2lst century: why, what and when? Educ Inf Technol 22(2):445–468. https://doi.org/10.1007/s10639-016-9493-x
Wing JM (2011) Research notebook: computational thinking—what and why? Link Newslett 6:1–32. https://www.cs.cmu.edu/~CompThink/resources/TheLinkWing.pdf
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The authors are grateful to Michèle Artigue for her generous suggestions about the structure of this entry and the content of its sections, as well as to John G Moala for specific comments regarding curricular issues.
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Stephens, M., Kadijevich, D.M. (2020). Computational/Algorithmic Thinking. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_100044
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