BMTS207
Digital Geometry

ECTS Value: 4 ECTS

Contact Hours: 20

Self Study Hours: 48

Assessment Hours: 32

 

Overall Objectives and Outcomes

The use of Information and Communications Technology (ICT) in education is more important today than ever before. The ubiquitous nature of ICT is unavoidable in everyday life. However, the use of ICT for mathematics teaching and learning is largely underutilised. This module exposes learners to the potential of ICT to work out and help others learn geometry. Digital Geometry makes use of a range of ICT tools, including dynamic geometry software, mobile phone applications, and the programming language MSW Logo. Proficiency in the use of such tools is paramount for all mathematics educators, not to use ICT for the sake of using it or to simply present knowledge more attractively, but to make use of ICT to understand and teach geometric concepts in a way that could not be done otherwise. 

By the end of this module, the learner will be able to: 

Competences

  • a)Cooperate with the mathematics head of department to determine which ICT tools could be used to facilitate the teaching and learning of geometry;;
  • b)Contribute to the development of a school mathematics curriculum with particular emphasis on geometric learning outcomes which could benefit from the use of ICT;;
  • c)Participate in the evaluation, review, and/or creation of school policies about the use of ICT in education..
  •  

Knowledge

  • a)Explore the functionalities and educational applications of GeoGebra as a dynamic geometry software and recognise its role in enhancing the teaching and learning of geometric concepts;
  • b)Demonstrate knowledge of MSWLogo programming language, including its core features and its integration into the geometry curriculum;
  • c)Comprehend the use of the Desmos mobile application as a graph plotter understanding its capabilities and how it can be effectively utilized to visualize and explore mathematical functions and graphs.
  •  

Skills

    • a)Use the online platform Geogebra to investigate static and dynamic aspects of geometric concepts, study analytic geometry, and create exportable geometric shapes;
    • b)Use Geogebra to create interactive geometry lessons and help students learn geometric concepts;
    • c)Use Geogebra to investigate geometric notions included in the secondary curriculum like polygonal and triangular properties, circle theorems, similarity, congruency, and loci;
    • d)Use Geogebra to investigate geometric notions included in the post-secondary curriculum like coordinate geometry and transformations of graphs;
    • e)Use the programming language MSWLogo to create geometric artefacts and study the principles behind those artefacts;
    • f)Utilise MSWLogo to help students immerse themselves in geometric shapes and learn the associated geometric concepts;
    • g)Use MSWLogo to create complex geometric shapes, such as a building façade, a vehicle, and a clock;
    • h)Use MSWLogo to analyse concepts behind geometric artefacts such as symmetries and tessellations;
    • i)Make use of the mobile app Desmos to plot graphs of particular functions and also to investigate the relationships between graphs and the coefficients of their equations and also the transformation of graphs;
    • j)Apply Desmos to create cartesian and polar graphs and investigate the relationship between the shape of these graphs and the coefficients of their equations.

Assessment Methods

This module will be assessed throughLesson plan, Presentation, Resource Pack. 

Suggested Readings

Core Reading List 

  1. Ebhomhenye, A. (2023). MSW Logo Programming: Logo Programming. Amazon.co.uk: Kindle Store. https://www.amazon.co.uk/MSW-LOGO-PROGRAMMING-ebook/dp/B0C4JGSFG4 
  1. Hohenwarter, M. (2012). Introduction to Geogebra. International GeoGebra Institute. 

https://www.amazon.com/Introduction-GeoGebra-Markus-Hohenwarter/dp/B009AP0O9I 

  1. Papert, S. (1980). Mindstorms : Children, Computers, and Powerful Ideas. Basic Books. 
  1. Venema, G. A. (2013). Exploring Advanced Euclidean Geometry with GeoGebra. American Mathematical Soc. http://books.google.ie/books?id=02XxDwAAQBAJ&printsec=frontcover&dq=Introduction+to+GeoGebra&hl=&cd=2&source=gbs_api 
  1. Sharma, E. (2023). Desmos Graphing Calculator: Digital SAT Math Prep. Independently published. 

        https://www.amazon.com/Desmos-Graphing-Calculator-Digital-Math/dp/B0C9S5HLJ2 

Supplementary Reading List 

  1. Papert, S. (1993). The Children’s machine: Rethinking School in the Age of the Computerhttps://openlibrary.org/books/OL1568915M/The_children’s_machine 
  1. Liu, Y., & Kaino, L. M. (2007). Geometer’s Sketchpad and MSW logo in mathematics classroom instruction: a comparative analysis. Journal of Interdisciplinary Mathematics/Journal of Interdisciplinary Mathematics, 10(5), 715–726. https://doi.org/10.1080/09720502.2007.10700527 
  1. Majerek, D. (2014). Application of Geogebra for Teaching Mathematics. https://www.infona.pl/resource/bwmeta1.element.baztech-c483b378-60e8-458b-b869-f3864ea7b181?&locale=en
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