Module: Geometry:From Shape & Space to Hyperbolic Plane

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Geometry:From Shape & Space to Hyperbolic Plane
Module Code	MS241 (ITS) / MTH1045 (Banner)
Faculty	Science & Health	School	Mathematical Sciences
Module Co-ordinator	-
Module Teachers	-
NFQ level	8	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

Repeat examination

Description

This module introduces prospective primary school teachers to the central concepts of geometry, beginning with the foundational concepts encountered in the primary curriculum to the modern concepts of non-Euclidean geometry.

Learning Outcomes

1. apply definitions and axioms to draw conclusions related to geometry;
2. use geometric concepts to solve real-world and abstract problems;
3. describe how students at different stages learn and understand geometry;
4. design learning activities for the formation of geometric concepts.

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	36	Lectures & Tutorials
Independent Study	89	Homework and preparation for assessents
Total Workload: 125

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Euclidean Geometry
Definition, axioms and theorems of Euclidean Geometry

Problems in geometry
Applying geometry in different contexts

Non-Euclidean Geometry
Geometry without the axiom of parallels

Teaching & Learning Geometry
Key ideas in the T&L of geometry including the van Hiele levels

Assessment Breakdown
Continuous Assessment	0%	Examination Weight	0%

Type	Description	% of total	Assessment Date
Course Work Breakdown
Assignment	Take home work on geometry problems.	20%	n/a
Assignment	Take home work on teaching geometry.	20%	n/a

Reassessment Requirement Type
Resit arrangements are explained by the following categories: Resit category 1: A resit is available for both* components of the module. Resit category 2: No resit is available for a 100% continuous assessment module. Resit category 3: No resit is available for the continuous assessment component where there is a continuous assessment and examination element.
* ‘Both’ is used in the context of the module having a Continuous Assessment/Examination split; where the module is 100% continuous assessment, there will also be a resit of the assessment
This module is category -

Indicative Reading List

Other Resources

None

This was previously St Pats MATH231