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Promoting Computational Thinking
skills in primary school students to
improve learning of geometry
Ruth Cobos
Computer Science and Engineering Department
Universidad Autónoma de Madrid Madrid, Spain
ruth.cobos@uam.es
Victor Negrete
Facultad de Ingeniería Informática
Universidad Pontificia Bolivariana
Montería, Colombia
victor.negreteb@upb.edu.co
Leovy Echeverría
Facultad de Ingeniería Informática
Universidad Pontificia Bolivariana
Montería, Colombia
leovy.echeverria@upb.edu.co
Mario Morales
Departamento de Matemáticas y Estadística
Universidad de Córdoba
Montería, Colombia
mamorales@correo.unicordoba.edu.co
Fernando Moreno
Facultad de Ingeniería Informática
Universidad Pontificia Bolivariana
Montería, Colombia
fernando.morenoo@upb.edu.co
AGENDA
I. INTRODUCTION
 What’s Computational Thinking?
 This paper’s scope
II. STATE OF THE ART
 Concepts related to Computational Thinking
 Computational Thinking initiatives
III. APPROACH
 General Description
 The Environment
IV. EXPERIMENTATION
 An exploratory data analysis
 Case study
 Results and discussions
V. CONCLUSIONS AND FUTURE WORK
I. INTRODUCTION
What’s Computational Thinking?
Learning strategy based on the use of Computer
Science concepts to solve a problem in any domain.
Kindergarten Primary school Secondary school Higher education
CT
I. INTRODUCTION
This paper’s scope
Learning of geometry for both primary and secondary
school students cognitive aspects of
visualization
Integrating technological aspects into the teaching of
geometry to promote computational thinking (CT)
Implementation of CT initiatives to improve STEM
(Science, Technology, Engineering, and Mathematics)
Education
II. STATE OF THE ART
Concepts related to CT
Structure models
 Michaelson
 Barr & Stephenson
 Weintrop
K-12 curriculum standard
CT Language (CTL)
Data
Algorithm
design
Automation
Problem
solving
II. STATE OF THE ART
CT Initiatives
STEM skills development
Infuse any subject
Visual
Tangible
Gamified
Automation
Design
Communication
FRAMEWORK
…
III. APPROACH
General Description
 Face-to-face activities + geometry learning
activities supported by Moodle-G
 Two CT skills based on Mathematics and
Science taxonomy (4 categories and 22 CT
skills):
 To analyse and to visualize data
 Practice exercises about geometric solids
III. APPROACH
The environment: Moodle-G
IV. EXPERIMENTATION
Students’ opinion on the potential use of
the proposed toolLearning tools known and used by the students
5 schools
185 primary students of them
 Age: 9-10 years old
AS CL C FJC PS TOTAL
WEB and
others
20 22 20 13 27 102
57 52 55 36 75 55 %
NONE
2 13 7 16 4 42
5 30 19 44 11 22 %
An exploratory data analysis
IV. EXPERIMENTATION
Case study
Comfacor school
32 students from fourth grade
Topic: construction of
geometric solids.
 Prisms
 Pyramids
 Round bodies
Two types of exercises:
 Watching and selecting
 Elaboration and analyzing of
geometric solids
Exercise CT Skill involved
Finalized
taxonomy
practice
Select a
prism
Selection and
watching
Visualization
Analysis
Draw a
pyramid
Data generation Analysis
Exercises conducted
IV. EXPERIMENTATION
 Results and discussions
Students’ motivation
“The results obtained with the t-test corroborated that the students in the
experimental group obtained better performance (Mean=3.9) than the students from
control group (Mean=3.5).”
Group G N Mean Min Max
Control
F 17.0 3.5 2.0 4.0
M 17.0 3.4 2.0 4.0
Experimental
F 17.0 3.8 3.0 5.0
M 15.0 3.9 2.0 5.0
USAGE LEARNING SOCIAL TOTAL
MOTIVATION
- 0 0 0 0
0 0 0 0
5 1 2 8
16 3 6 8 %
+
13 11 5 29
40 34 16 31 %
14 20 25 59
44 63 78 61 %
Students’ scores
G: gender N: sample size
V. CONCLUSIONS AND FUTURE WORK
STEM Education initiative
Two specific CT skills: the visualization and the analysis of
geometric solids
Moodle-G platform
Positive results in the students’ motivation were found.
Specifically, the most of the students felt very motivated with the
social interaction supported by the Moodle-G platform
The assertive results derived from the case study corroborate
that the implementation of the proposed approach enhances the
students’ performance
We propose to enhance both the approach and the environment
REFERENCES
 M. Dogan and R. Icel, “The Role of Dynamic Geometry Software in the Process of Learning: GeoGebra Example about
Triangles,” Int. J. Hum. Sci., vol. 8, no. 1, pp. 1441–1458, 2011.
 K. K. Bhagat and C. Y. Chang, “Incorporating GeoGebra into geometry learning-A lesson from India,” Eurasia J. Math. Sci.
Technol. Educ., vol. 11, no. 1, pp. 77–86, 2015.
 R. A. Saha, A. F. M. Ayub, and R. A. Tarmizi, “The effects of GeoGebra on mathematics achievement: Enlightening
Coordinate Geometry learning,” in Procedia - Social and Behavioral Sciences, 2010, vol. 8, pp. 686–693.
 N. Sinclair and C. D. Bruce, “New opportunities in geometry education at the primary school,” ZDM, vol. 47, no. 3, pp. 319–
329, 2015.
 R. Marrades and Á. Gutiérrez, “Proofs produced by secondary school students learning geometry in a dynamic computer
environment,” Educ. Stud. Math., vol. 44, no. 1–3, pp. 87–125, 2000.
 M. T. Battista, “Spatial visualization and gender differences in high school geometry,” J. Res. Math. Educ., vol. 21, no. 1, pp.
47–60, 1990.
 Á. Gutiérrez, “Visualization in 3-Dimensional Geometry: In Search of a Framework,” Proc. 20th PME Conf., vol. 1, pp. 3–19,
1996.
 H. Kaufmann, D. Schmalstieg, and M. Wagner, “Construct3D: A Virtual Reality Application for Mathematics and Geometry
Education,” Educ. Inf. Technol., vol. 5, no. 4, pp. 263–276, 2000.
 J. A. Qualls and L. B. Sherrell, “Why Computational Thinking Should Be Integrated Into the Curriculum,” J. Comput. Sci.
Coll., vol. 25, no. 5, pp. 66–71, 2010.
 L. Wolf, A. Yadav, J. Good, M. Margaritis, and M. Berges, “Computer Science (CS) and Computational Thinking (CT)
International Perspectives on Developing Student and Teacher Competencies,” in SITE–Society for Information Technology
and Teacher Education, 2015, pp. 7633–7636.
 V. Barr and C. Stephenson, “Bringing Computational Thinking to K-12: What is Involved and What is the Role of the
Computer Science Education Community ?,” ACM Inroads, vol. 2, no. 1, pp. 48–54, 2011.
 G. Keren and M. Fridin, “Kindergarten Social Assistive Robot (KindSAR) for children’s geometric thinking and metacognitive
development in preschool education: A pilot study,” Comput. Human Behav., vol. 35, pp. 400–412, 2014.
ACKNOWLEDGMENT
This research was partly funded by UPB
Montería project number 018-03/16-SI007 and
e-Madrid project, number P2018/TCS-4307.
Besides, the participation of the Comfacor
School in the city of Montería is acknowledged
and appreciated
THANKS FOR YOUR ATTENTION

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11_04_2019 EDUCON Award: "Promoting computational thinking skills in Primary School students to improve learning of geometry", UAM

  • 1. Promoting Computational Thinking skills in primary school students to improve learning of geometry Ruth Cobos Computer Science and Engineering Department Universidad Autónoma de Madrid Madrid, Spain ruth.cobos@uam.es Victor Negrete Facultad de Ingeniería Informática Universidad Pontificia Bolivariana Montería, Colombia victor.negreteb@upb.edu.co Leovy Echeverría Facultad de Ingeniería Informática Universidad Pontificia Bolivariana Montería, Colombia leovy.echeverria@upb.edu.co Mario Morales Departamento de Matemáticas y Estadística Universidad de Córdoba Montería, Colombia mamorales@correo.unicordoba.edu.co Fernando Moreno Facultad de Ingeniería Informática Universidad Pontificia Bolivariana Montería, Colombia fernando.morenoo@upb.edu.co
  • 2. AGENDA I. INTRODUCTION  What’s Computational Thinking?  This paper’s scope II. STATE OF THE ART  Concepts related to Computational Thinking  Computational Thinking initiatives III. APPROACH  General Description  The Environment IV. EXPERIMENTATION  An exploratory data analysis  Case study  Results and discussions V. CONCLUSIONS AND FUTURE WORK
  • 3. I. INTRODUCTION What’s Computational Thinking? Learning strategy based on the use of Computer Science concepts to solve a problem in any domain. Kindergarten Primary school Secondary school Higher education CT
  • 4. I. INTRODUCTION This paper’s scope Learning of geometry for both primary and secondary school students cognitive aspects of visualization Integrating technological aspects into the teaching of geometry to promote computational thinking (CT) Implementation of CT initiatives to improve STEM (Science, Technology, Engineering, and Mathematics) Education
  • 5. II. STATE OF THE ART Concepts related to CT Structure models  Michaelson  Barr & Stephenson  Weintrop K-12 curriculum standard CT Language (CTL) Data Algorithm design Automation Problem solving
  • 6. II. STATE OF THE ART CT Initiatives STEM skills development Infuse any subject Visual Tangible Gamified Automation Design Communication FRAMEWORK …
  • 7. III. APPROACH General Description  Face-to-face activities + geometry learning activities supported by Moodle-G  Two CT skills based on Mathematics and Science taxonomy (4 categories and 22 CT skills):  To analyse and to visualize data  Practice exercises about geometric solids
  • 9. IV. EXPERIMENTATION Students’ opinion on the potential use of the proposed toolLearning tools known and used by the students 5 schools 185 primary students of them  Age: 9-10 years old AS CL C FJC PS TOTAL WEB and others 20 22 20 13 27 102 57 52 55 36 75 55 % NONE 2 13 7 16 4 42 5 30 19 44 11 22 % An exploratory data analysis
  • 10. IV. EXPERIMENTATION Case study Comfacor school 32 students from fourth grade Topic: construction of geometric solids.  Prisms  Pyramids  Round bodies Two types of exercises:  Watching and selecting  Elaboration and analyzing of geometric solids Exercise CT Skill involved Finalized taxonomy practice Select a prism Selection and watching Visualization Analysis Draw a pyramid Data generation Analysis Exercises conducted
  • 11. IV. EXPERIMENTATION  Results and discussions Students’ motivation “The results obtained with the t-test corroborated that the students in the experimental group obtained better performance (Mean=3.9) than the students from control group (Mean=3.5).” Group G N Mean Min Max Control F 17.0 3.5 2.0 4.0 M 17.0 3.4 2.0 4.0 Experimental F 17.0 3.8 3.0 5.0 M 15.0 3.9 2.0 5.0 USAGE LEARNING SOCIAL TOTAL MOTIVATION - 0 0 0 0 0 0 0 0 5 1 2 8 16 3 6 8 % + 13 11 5 29 40 34 16 31 % 14 20 25 59 44 63 78 61 % Students’ scores G: gender N: sample size
  • 12. V. CONCLUSIONS AND FUTURE WORK STEM Education initiative Two specific CT skills: the visualization and the analysis of geometric solids Moodle-G platform Positive results in the students’ motivation were found. Specifically, the most of the students felt very motivated with the social interaction supported by the Moodle-G platform The assertive results derived from the case study corroborate that the implementation of the proposed approach enhances the students’ performance We propose to enhance both the approach and the environment
  • 13. REFERENCES  M. Dogan and R. Icel, “The Role of Dynamic Geometry Software in the Process of Learning: GeoGebra Example about Triangles,” Int. J. Hum. Sci., vol. 8, no. 1, pp. 1441–1458, 2011.  K. K. Bhagat and C. Y. Chang, “Incorporating GeoGebra into geometry learning-A lesson from India,” Eurasia J. Math. Sci. Technol. Educ., vol. 11, no. 1, pp. 77–86, 2015.  R. A. Saha, A. F. M. Ayub, and R. A. Tarmizi, “The effects of GeoGebra on mathematics achievement: Enlightening Coordinate Geometry learning,” in Procedia - Social and Behavioral Sciences, 2010, vol. 8, pp. 686–693.  N. Sinclair and C. D. Bruce, “New opportunities in geometry education at the primary school,” ZDM, vol. 47, no. 3, pp. 319– 329, 2015.  R. Marrades and Á. Gutiérrez, “Proofs produced by secondary school students learning geometry in a dynamic computer environment,” Educ. Stud. Math., vol. 44, no. 1–3, pp. 87–125, 2000.  M. T. Battista, “Spatial visualization and gender differences in high school geometry,” J. Res. Math. Educ., vol. 21, no. 1, pp. 47–60, 1990.  Á. Gutiérrez, “Visualization in 3-Dimensional Geometry: In Search of a Framework,” Proc. 20th PME Conf., vol. 1, pp. 3–19, 1996.  H. Kaufmann, D. Schmalstieg, and M. Wagner, “Construct3D: A Virtual Reality Application for Mathematics and Geometry Education,” Educ. Inf. Technol., vol. 5, no. 4, pp. 263–276, 2000.  J. A. Qualls and L. B. Sherrell, “Why Computational Thinking Should Be Integrated Into the Curriculum,” J. Comput. Sci. Coll., vol. 25, no. 5, pp. 66–71, 2010.  L. Wolf, A. Yadav, J. Good, M. Margaritis, and M. Berges, “Computer Science (CS) and Computational Thinking (CT) International Perspectives on Developing Student and Teacher Competencies,” in SITE–Society for Information Technology and Teacher Education, 2015, pp. 7633–7636.  V. Barr and C. Stephenson, “Bringing Computational Thinking to K-12: What is Involved and What is the Role of the Computer Science Education Community ?,” ACM Inroads, vol. 2, no. 1, pp. 48–54, 2011.  G. Keren and M. Fridin, “Kindergarten Social Assistive Robot (KindSAR) for children’s geometric thinking and metacognitive development in preschool education: A pilot study,” Comput. Human Behav., vol. 35, pp. 400–412, 2014.
  • 14. ACKNOWLEDGMENT This research was partly funded by UPB Montería project number 018-03/16-SI007 and e-Madrid project, number P2018/TCS-4307. Besides, the participation of the Comfacor School in the city of Montería is acknowledged and appreciated
  • 15. THANKS FOR YOUR ATTENTION