EDUC6104
10 units
6000 level
Course handbook
Description
This course introduces students to the key concepts underlying a deep understanding of mathematical proof and topology. This course will consider the historical development of mathematical proof and topology and will examine current related pedagogical models within the field of secondary mathematics including catering for differentiated learning needs in the contemporary classroom.
Availability2024 Course Timetables
Online
- Semester 1 - 2024
Learning outcomes
On successful completion of the course students will be able to:
1. understand the key concepts related to various forms of mathematical proof and the field of topology;
2. appreciate the mathematical knowledge and beliefs that learners bring to a learning task;
3. apply a range of strategies for teaching secondary mathematics;
4. recognise the common misconceptions that students may have in regard to the mathematical content covered; and
5. recognise the benefits and issues associated with differentiated learning.
Content
- The historical development of mathematical proof and its relationship to other forms of proof commonly accepted in contemporary society
- Forms of mathematical proof including geometric, inductive, deductive, contradiction, reductio ad absurdum and non-euclidean geometric
- Introduction to topology
- teaching strategies related to mathematical content
- common misconceptions related to the mathematical content
Differentiated learning in the contemporary classroom
Assessment items
In Term Test: Mathematics Content Examinations (Part A and Part B)
Written Assignment: Mathematics Content Assignment
Online Learning Activity: Online Discussion Task
Contact hours
Semester 1 - 2024 - Online
Tutorial-1
- Online 2 hour(s) per week(s) for 13 week(s) starting in week 1
Course outline
- EDUC6104 - Semester 1, 2024 (All) (PDF, 258.8 KB)
The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.