Module: Numbers: from the integers to the infinite

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Numbers: from the integers to the infinite
Module Code	MS242 (ITS) / MTH1046 (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 relating to numbers, and uses this to discuss the concept of infinity in mathematics.

Learning Outcomes

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

The Integers
Naive and axiomatic approaches to the integers

The Rationals
Naive and systematic approaches to the rational numbers

The Infinite
Concepts of counting and infinity in mathematics

Assessment Breakdown
Continuous Assessment	0%	Examination Weight	0%

Type	Description	% of total	Assessment Date
Course Work Breakdown
Assignment	Take home work on the mathematical properties of different number systems.	20%	n/a
Assignment	Take home work on teaching number properties.	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