More Web Proxy on the site http://driver.im/

research-article

Analysis of the relationship between computational thinking and mathematical abstraction in primary education

Authors:

Juan Manuel DoderoAuthors Info & Claims

TEEM'19: Proceedings of the Seventh International Conference on Technological Ecosystems for Enhancing Multiculturality

Pages 981 - 986

https://doi.org/10.1145/3362789.3362881

Published: 16 October 2019 Publication History

Abstract

The aim of this paper is to broaden our view on the relationship between Computational Thinking and the development of the abstraction skill applied to mathematics. It was aimed to reveal trends and new potential solutions to be explored in the teaching of mathematics. We carefully selected sixty-four papers related with the objective above cited. From which we inspected twenty-four discovering that abstraction is a key skill for mathematics and Computational Thinking. We also discovered that we need to define which type of abstraction are we going to work on together with choosing between the two ways of teaching CT: integrating it to the curricula or as an after-school program.

References

[1]

Ilana Arnon, Jim Cottrill, Ed Dubinsky, Asuman Oktaç, Solange R. Fuentes, Maria Trigueros, and Kirk Weller, 2013. APOS Theory: a framework for research and curriculum development in mathematics education. Springer Science & Business Media.

[2]

Anja Balanskat, and Katja Engelhardt, 2015. Computing our future. Computer programming and coding. Priorities, school curricula and initiatives across Europe.

[3]

Valerie Barr, and Chris Stephenson, 2011. Bringing computational thinking to K-12: what is Involved and what is the role of the computer science education community? ACM Inroads. 2, 1 (2011), 48--54.

Digital Library

[4]

Tim Bell, Jason Alexander, Isaac Freeman, and Mick Grimley, 2009. Computer science unplugged?: school students doing real computing without computers. New Zealand Journal of Applied Computing and Information Technology. 13, 1 (2009), 20--29.

[5]

Ibrahim Cetin, and Ed Dubinsky, 2017. Reflective abstraction in computational thinking. Journal of Mathematical Behavior. 47, (Sep. 2017), 70--80.

[6]

Hasnaa Chaabi, Abdellah Azmani, and Amina Azmani, 2018. Using Decision Making AHP Method for the Choice of the Best Pedagogical Method for Developing Reading Skills for Young and Illiterate Public. Lecture Notes in Networks and Systems. 37, (2018), 697--709.

[7]

Hui C. Chuang, Chiu F. Hu, Cheng C. Wu, and Yu T. Lin, 2015. Computational thinking curriculum for K-12 education - A Delphi survey. Proceedings - 2015 International Conference on Learning and Teaching in Computing and Engineering, LaTiCE 2015 (2015), 213--214.

Digital Library

[8]

Simone Conceicao, David Gibson, and Lorraine Sherry, 2004. Using developmental research to design, develop, and evaluate an urban education portal. Journal of Interactive Learning Research. 15, 3 (2004), 271--286.

[9]

Flavio Cunha, and James Heckman, 2007. The technology of skill formation. American Economic Review. 97, 2 (2007), 31--47.

[10]

Rafael Del-Pino-Casado, 2017. Como Aprender (Y Enseñar) a Realizar Búsquedas En Cinahl Y . Evidentia. 14, 1 (2017), 1--7.

[11]

Folk, R., Gregory Lee, Ashley Michalenko, Amanda Peel, and Enrico Pontelli, 2015. GK-12 DISSECT: Incorporating computational thinking with K-12 science without computer access. Proceedings - Frontiers in Education Conference, FIE (2015), 1315--1322.

[12]

Francisco J. García Peñalvo, Angela M. Rees, Jenny Hughes, Jens Vermeersch, Ilkka Jormanainen, and Tapani Toivonen, 2016. A survey of resources for introducing coding into schools. ACM International Conference Proceeding Series. 02-04-Nove, (2016), 19--26.

[13]

Steve Furber, 2012. Shut down or restart? The way forward for computing in UK schools.

[14]

George Gadanidis, 2017. Artificial intelligence, computational thinking, and mathematics education. International Journal of Information and Learning Technology. 34, 2 (2017), 133--139.

[15]

Francisco J. García Peñalvo, 2016. A brief introduction to TACCLE 3-coding European project. 2016 International Symposium on Computers in Education, SIIE 2016: Learning Analytics Technologies. (2016), 3--6.

[16]

Francisco J. García Peñalvo and Antònio J. Mendes, 2017. Exploring the computational thinking effects in pre-university education. Computers in Human Behavior. 80, (2017), 407--411.

[17]

Francisco J. García Peñalvo, Daniela Reimann, and Christiane Maday, 2018. Introducing Coding and Computational Thinking in the Schools: The TACCLE 3 - Coding Project Experience. Computational Thinking in the STEM Disciplines. 213--226.

[18]

Francisco J. García Peñalvo, Faraón Llorens Largo, Xavier Molero Prieto, and Eduardo Vendrell Vidal, 2017. Sección Especial: Educación en Informática sub 18 (EI<18).

[19]

Carina Soledad González-González, 2019. State of the art in the teaching of computational thinking and programming in childhood education. Education in the Knowledge Society 20. 20, (2019), 1--15.

[20]

David Hemmendinger, 2012. A plea for modesty. ACM Inroads. 1, 2 (2012), 4.

Digital Library

[21]

Betty Holcomb, and Teija Sudol, 2014. School-Community Partnerships in New York State: Snapshot of Trends as Pre-K Expands. School Community Partnerships Project. Policy Brief II. Center for Children's Initiatives.

[22]

Cruz Izu, Claudio Mirolo, Amber Settle, Linda Mannila, and Gabriele Stupuriene, 2017. Exploring Bebras Tasks Content and Performance: A Multinational Study. INFORMATICS IN EDUCATION. 16, 1 (2017), 39--59.

[23]

Jeannette M. Wing 2011. Research Notebook: Computational Thinking--What and Why.

[24]

Kathy A. Jensen 2018. EVIDENCE-BASED NURSING PRACTICE: 7 Steps to the Perfect PICO Search WHAT IS EVIDENCE-BASED NURSING PRACTICE AND WHY IS IT IMPORTANT?

[25]

Zopito Marini, and Robbie Case, 1994. The Development of Abstract Reasoning about the Physical and Social World. Child Development. 65, 1 (1994), 147--159.

[26]

Eunjung Oh, and Thomas C. Reeves, 2010. The implications of the differences between design research and instructional systems design for educational technology researchers and practitioners. Educational Media International. 47, 4 (2010), 263--275.

[27]

Seymour Papert, 1980. Mindstorms: Children, Computers, and Powerful ideas. Basic Books, Inc.

Digital Library

[28]

Gerard Rambally, 2017. Integrating Computational Thinking in Discrete Structures. EMERGING RESEARCH, PRACTICE, AND POLICY ON COMPUTATIONAL THINKING. C. Rich, PJ and Hodges, ed. 99--119.

[29]

Wouter J. Rijke, Lars Bollen, Tessa H. S. Eysink, and Jos L. J. Tolboom, 2018. Computational Thinking in Primary School: An Examination of Abstraction and Decomposition in Different Age Groups. INFORMATICS IN EDUCATION. 17, 1 (2018), 77--92.

[30]

Scratch, D. Scratch.

[31]

Pratim Sengupta, John S. Kinnebrew, Satabdi Basu, Gautam Biswas, and Douglas Clark, D. 2013. Integrating computational thinking with K-12 science education using agent-based computation: A theoretical framework. Education and Information Technologies. 18, 2 (Jun. 2013), 351--380.

Digital Library

[32]

Hasan Shodiev, 2015. Computational thinking and simulation in teaching science and mathematics. Springer Proceedings in Mathematics and Statistics (2015), 405--410.

[33]

Woonhee Sung, Junghyun Ahn, and John B. Black, 2017. Introducing Computational Thinking to Young Learners: Practicing Computational Perspectives Through Embodiment in Mathematics Education. TECHNOLOGY KNOWLEDGE AND LEARNING. 22, 3, SI (Oct. 2017), 443--463.

[34]

Yune Tran, 2019. Computational Thinking Equity in Elementary Classrooms: What Third-Grade Students Know and Can Do. JOURNAL OF EDUCATIONAL COMPUTING RESEARCH. 57, 1 (Mar. 2019), 3--31.

[35]

Danli Wang, Tingting Wang, and Zhen Liu, 2014. A Tangible Programming Tool for Children to Cultivate Computational Thinking. The Scientific World Journal. 2014, (2014), 1--10.

[36]

Linda Werner, Jill Denner, and Shannon Campe, 2012. The Fairy Performance Assessment: Measuring Computational Thinking in Middle School. Proceedings of the 43rd ACM technical symposium on computer science education. (2012), 215--220.

Digital Library

[37]

Jeannette M. Wing, 2006. Computational Thinking - The begening. Communications of the ACM. 24, 3 (2006), 33.

Digital Library

[38]

Jeannette M. Wing, 2008. Computational thinking and thinking about computing. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICALAND ENGINEERING SCIENCES. 366, 1881 (Oct. 2008), 3717--3725.

[39]

Aman Yadav, Hai Hong, and Chris Stephenson, 2016. Computational Thinking for All: Pedagogical Approaches to Embedding 21st Century Problem Solving in K-12 Classrooms. TechTrends. 60, 6 (Nov. 2016), 565--568.

[40]

Aman Yadav, Chris Mayfield, Ninger Zhou, Susanne Hambrusch, and John T. Korb, 2014. Computational Thinking in Elementary and Secondary Teacher Education. ACM Transactions on Computing Education. 14, 1 (2014), 1--16.

Digital Library

[41]

René F. Zúñiga Muñoz, Julio A. Hurtado Alegría, and Patricia Paderewsky Rodríguez, 2016. Discovering the mechanisms of abstraction in the performance of work teams in children to solve computational problems. Sistemas y Telemática. 14, 36 (2016), 69--87.

[42]

App inventor.

[43]

Netlogo.

Cited By

Lv LZhong BLiu X(2022)A literature review on the empirical studies of the integration of mathematics and computational thinkingEducation and Information Technologies10.1007/s10639-022-11518-228:7(8171-8193)Online publication date: 15-Dec-2022
https://doi.org/10.1007/s10639-022-11518-2
García-Peñalvo FGarcía-Holgado ARamírez-Montoya M(2019)Track 16Proceedings of the Seventh International Conference on Technological Ecosystems for Enhancing Multiculturality10.1145/3362789.3362958(920-924)Online publication date: 16-Oct-2019
https://dl.acm.org/doi/10.1145/3362789.3362958

Index Terms

Analysis of the relationship between computational thinking and mathematical abstraction in primary education

Recommendations

Computational Thinking in Teacher Education
SIGCSE '20: Proceedings of the 51st ACM Technical Symposium on Computer Science Education

Teacher education programs are beginning to acknowledge the important role they play in preparing teachers to support students in the area of STEM, coding, Computational Thinking and robotics. As a result, new courses are being developed that connect ...
Teaching how to teach computational thinking
ITiCSE 2018: Proceedings of the 23rd Annual ACM Conference on Innovation and Technology in Computer Science Education

Computational Thinking is argued to be an essential skill for the workforce of the 21st century. As a skill, Computational Thinking should be taught in all schools, employing computational ideas integrated into other disciplines. Up until now, questions ...
An Examination of Abstraction in K-12 Computer Science Education
Koli Calling '19: Proceedings of the 19th Koli Calling International Conference on Computing Education Research

Computer scientists have been working towards a common definition of abstraction; however, the instruction and assessment of abstraction remain categorically under-researched. Abstraction is often cited as a component of computational thinking and can ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Other conferences

TEEM'19: Proceedings of the Seventh International Conference on Technological Ecosystems for Enhancing Multiculturality

October 2019

1085 pages

ISBN:9781450371919

DOI:10.1145/3362789

Editors:
Miguel Ángel Conde González
Universidad de León
,
Francisco Jesús Rodríguez Sedano
Universidad de León
,
Camino Fernández Llamas
Universidad de León
,
Francisco José García-Peñalvo
Universidad de Salamanca

Copyright © 2019 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

In-Cooperation

University of Salamanca: University of Salamanca

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 16 October 2019

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Research-article
Research
Refereed limited

Funding Sources

Universidad de Cádiz

Conference

TEEM'19

TEEM'19: Technological Ecosystems for Enhancing Multiculturality

October 16 - 18, 2019

León, Spain

Acceptance Rates

Overall Acceptance Rate 496 of 705 submissions, 70%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

2
Total Citations
View Citations
330
Total Downloads

Downloads (Last 12 months)38
Downloads (Last 6 weeks)3

Reflects downloads up to 13 Dec 2024

Other Metrics

View Author Metrics

Citations

Cited By

Lv LZhong BLiu X(2022)A literature review on the empirical studies of the integration of mathematics and computational thinkingEducation and Information Technologies10.1007/s10639-022-11518-228:7(8171-8193)Online publication date: 15-Dec-2022
https://doi.org/10.1007/s10639-022-11518-2
García-Peñalvo FGarcía-Holgado ARamírez-Montoya M(2019)Track 16Proceedings of the Seventh International Conference on Technological Ecosystems for Enhancing Multiculturality10.1145/3362789.3362958(920-924)Online publication date: 16-Oct-2019
https://dl.acm.org/doi/10.1145/3362789.3362958

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Publication

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Media

Figures

Other

Tables

View Table of Contents