Registry

Module Specifications

Current Academic Year 2012 - 2013
Please note that this information is subject to change.

Module Title	Geometry for Teachers
Module Code	MS302
School	School of Mathematics
Online Module Resources
Module Co-ordinator	Semester 1: Brien Nolan Semester 2: Brien Nolan Autumn: Brien Nolan
Module Teacher	Brien Nolan
NFQ level	8	Credit Rating	5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

Description

This module focusses on the axiomatic approach to Euclidean geometry, paying particular attention to the role of this topic in the Irish second level mathematics syllabus. Non-Euclidean geometry will also be studied and students will use dynamic geometry software in the module.

Learning Outcomes

1. Describe the roles of defined, undefined and implicitly defined terms, axioms, lemmas, theorems and corollaries in a system of geometry.
2. Present proofs and constructions in Euclidean and non-Euclidean geometry
3. Solve problems in Euclidean geometry and plane trigonometry.
4. Describe applications and manifestations of geometry in the natural and man-made world.
5. Use dynamic software in teaching geometry.

Workload	Full-time hours per semester
*Type*	*Hours*	*Description*
Lecture	24	Two lectures each week
Tutorial	12	One tutorial/problem session each week
Independent learning	76	No Description
Total Workload: 112

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

The terms and axioms of Euclidean geometry.
Topics in Euclidean geometry.

a. Length, distance, angles and angle measureb. Equivalent characterisations of congruent trianglesc. Parallel and perpendicular lines; parallelograms and quadrilateralsd. Ratios and similaritye. Area and Pythagoras’s theoremf. Circles and special triangle points.
Constructions in Euclidean geometry.

Applications of Euclidean geometry.
Non-Euclidean geometries.

Using Geogebra.

Assessment Breakdown
Continuous Assessment	30%	Examination Weight	70%

Course Work Breakdown
Type	Description	% of total	Assessment Date
Assignment	Homework assignment on different topics that arise in the course.	5%	Week 4
Assignment	Homework assignment on different topics that arise in the course.	5%	Week 8
In Class Test	n/a	5%	Week 6
In Class Test	n/a	5%	Week 10
Project	Curriculum development project using dynamic geometry software.	10%	Week 12

Reassessment Requirement
Resit arrangements are explained by the following categories; 1 = A resit is available for all components of the module 2 = No resit is available for 100% continuous assessment module 3 = No resit is available for the continuous assessment component
This module is category 3

Indicative Reading List