Foundations of Mathematical Understanding (12035.1)
| Available teaching periods | Delivery mode | Location |
|---|---|---|
| View teaching periods | On-campus Online self-paced |
Bruce, Canberra |
| EFTSL | Credit points | Faculty |
| 0.125 | 3 | Faculty Of Education |
| Discipline | Study level | HECS Bands |
| Academic Program Area - Education | Level 1 - Undergraduate Introductory Unit | Band 1 2021 (Commenced After 1 Jan 2021) Band 1 2021 (Commenced Before 1 Jan 2021) |
Learning outcomes
On successful completion of this unit, students will be able to:1. Demonstrate an understanding of the big ideas that underpin mathematics;
2. Analyse the connections within and between big ideas in mathematics;
3. Demonstrate familiarity with a range of mathematical representations and explain their importance in mathematical knowledge; and
4. Apply knowledge of how mathematical ideas are developed and abstracted from concrete underpinnings.
Graduate attributes
1. UC graduates are professional - display initiative and drive, and use their organisation skills to plan and manage their workload1. UC graduates are professional - employ up-to-date and relevant knowledge and skills
2. UC graduates are global citizens - communicate effectively in diverse cultural and social settings
2. UC graduates are global citizens - think globally about issues in their profession
3. UC graduates are lifelong learners - adapt to complexity, ambiguity and change by being flexible and keen to engage with new ideas
3. UC graduates are lifelong learners - be self-aware
4. UC graduates are able to demonstrate Aboriginal and Torres Strait Islander ways of knowing, being and doing - apply their knowledge to working with Indigenous Australians in socially just ways
Prerequisites
None.Corequisites
None.Incompatible units
None.Equivalent units
9864 Core MathematicsAssumed knowledge
None.| Year | Location | Teaching period | Teaching start date | Delivery mode | Unit convener |
|---|---|---|---|---|---|
| 2025 | Bruce, Canberra | Semester 1 | 03 February 2025 | On-campus | Mr Jonathan Adams |
| 2025 | Bruce, Canberra | Semester 1 | 03 February 2025 | Online self-paced | Mr Jonathan Adams |
Required texts
Dianne Siemon, Elizabeth Warren, Kim Beswick, Rhonda Faragher, Jodie Miller, Marj Horne, Dan Jazby, & Margarita Breed. (2021) Teaching Mathematics: Foundations to Middle Years (3rd ed.)
Submission of assessment items
Extensions & Late submissions
Artificial Intelligence
Students are not allowed to use generative artificial intelligence (GenAI) in assessments for this unit.
Students should be aware that the University of Canberra utilises GenAI detection software. Suspected instances of unauthorised GenAI use may lead to a Learning Validation Conversation' designed to provide assurance that a student is able to demonstrate relevant knowledge and skills to meet required learning outcomes. Students who are suspected of having misused GenAI in assessment may be required to attend a summary inquiry for suspected misconduct.
It is strongly recommended that students keep records of the development process for all works submitted for assessment, or drafts of work submitted for a work-in-progress review, in a learning portfolio or equivalent. Failure to provide evidence of the development process for assessment may influence a suspicion of GenAI misuse or other forms of academic misconduct.
The GenAI for Students Library Guide provides further information, including how to reference GenAI.
Provision of valid documentation
Please note that the University takes student conduct very seriously. All documentation provided to University staff must be valid and the provision of fraudulent documentation carries with it potentially serious consequences, including suspension and/or exclusion from the University. Note that all allegations of student misconduct will be referred to the Associate Dean for Education (ADE) as a prescribed authority for investigation.
Students must apply academic integrity in their learning and research activities at UC. This includes submitting authentic and original work for assessments and properly acknowledging any sources used.
Academic integrity involves the ethical, honest and responsible use, creation and sharing of information. It is critical to the quality of higher education. Our academic integrity values are honesty, trust, fairness, respect, responsibility and courage.
UC students have to complete the Academic Integrity Module annually to learn about academic integrity and to understand the consequences of academic integrity breaches (or academic misconduct).
UC uses various strategies and systems, including detection software, to identify potential breaches of academic integrity. Suspected breaches may be investigated, and action can be taken when misconduct is found to have occurred.
Information is provided in the Academic Integrity Policy, Academic Integrity Procedure, and University of Canberra (Student Conduct) Rules 2023. For further advice, visit Study Skills.
Learner engagement
This unit contains a significant of online material that students are expected to engage with each week.
Students are expected to view all lecture material and complete pre-tutorial activities before attending their scheduled tutorial each week. Failure to engage with this material prior to tutorials may mean you are unable to participate in certain planned activities. Planned tutorial activities will not be modified to accommodate those students who have not completed the necessary pre-tutorial activities.
Students attending Online Synchronous tutorials will be expected to have access to both a camera and a microphone in order to fully engage with the learning activities.
Students enrolled in the Online Asynchronous offering are expected to complete additional online activities (as indicated on Canvas) in lieu of a face-to-face tutorial.
Indicative workload:
- Online lecture material (and review of this material): 3 hours/week x 10 weeks = 30 hours
- Tutorials (face to face) or online materiel in lieu of tutorials (self-paced) 2 hours/week x 10 weeks = 20 hours
- Readings: 2 hours/week x 10 weeks = 20 hours
- Assessment preparation: 60 hours
- Additional study: 20 hours
Participation requirements
Online activities and tutorial material (or online material in lieu of this) directly prepares students for the completion of assessment tasks. For this reason, historically students who have not engaged actively in the unit materials have been much less likely to achieve a passing grade for the unit
It is recognised that sometimes absence is unavoidable. If you are absent for a tutorial you should advise your tutor and/or the unit convenor to support you in catching up on this material.
Required IT skills
All students will need to access Canvas and be able to present their assignments in the required digital format via the online drop boxes.
Work placement, internships or practicums
None
Additional information
This unit involves research-led education and/or work-integrated learning. There are active researchers delivering this unit who are able to engage students in deep and active learning and transmit to students their passion for the research they are carrying out.
