EUB257 Reasoning with Quantity, Space and Shape
To view more information for this unit, select Unit Outline from the list below. Please note the teaching period for which the Unit Outline is relevant.
| Unit code: | EUB257 |
|---|---|
| Assumed Knowledge: | Successful completion of EUB153 is assumed knowledge |
| Credit points: | 12 |
| Timetable | Details in HiQ, if available |
| Availabilities |
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| CSP student contribution | $555 |
| Domestic tuition unit fee | $3,324 |
| International unit fee | $4,296 |
Unit Outline: Semester 2 2024, Kelvin Grove, Internal
| Unit code: | EUB257 |
|---|---|
| Credit points: | 12 |
| Assumed Knowledge: | Successful completion of EUB153 is assumed knowledge |
| Coordinator: | Dann Mallet | dg.mallet@qut.edu.au |
Overview
A deeper understanding of measurement, shape and space will allow you to apply your mathematical knowledge to problems of interest in the real world. This in turn will provide you with new ways to explain mathematics to others and to assist them in their learning. In this unit you will further apply your growing mathematical knowledge-base, built from earlier discipline units, to problems of both real world and abstract natures that involve the use of measurement and geometry concepts. This unit intends to give you greater confidence in explaining mathematical ideas to others by exposing you to different applications and links between mathematical topics.
Learning Outcomes
On successful completion of this unit you will be able to:
- Demonstrate understanding of mathematical knowledge.
- Reflect critically upon mathematical practices and the learning of mathematics.
- Demonstrate your mathematical problem solving and reasoning skills when creatively and innovatively applying your mathematical understanding to real world and purely mathematical contexts.
- Work individually and with others to develop mathematical understanding and skills.
- Use mathematical language, conventions and representations and English language conventions to communicate mathematical understanding and skills.
Content
In this unit you will develop understanding and skill with regard to the mathematics of shape and space, geometry and trigonometry, and measurement. You will also further explore linear relationships and solve problems that can be modelled using multiple linear relationships between quantities. To assist in your development as a mathematical communicator and problem solver, you will see how specific mathematical process can often be used in a variety of different situations, helping you to see the connections between different areas of mathematics. Through an extended modelling task, you will present a mathematical analysis in a logical and clear manner, explaining your reasoning to demonstrate your understanding. This unit will include investigations of topics including triangles, trigonometry and the theorem of Pythagoras; mensuration, shapes, similarity and scaling; relationships of a linear nature; time and space.
Learning Approaches
This unit is delivered as a series of workshops. You will participate in a range of online and/or face-to-face learning activities before, during, and after the workshops. These learning activities will present the mathematical content of the unit using a mix of real world and abstract, purely mathematical contexts. These learning activities will support the development and consolidation of your understanding of the unit's mathematical content knowledge and your skills as a mathematician. A key element of these workshops will be collaborative activities that permit the sharing of ideas with peers and the giving and receiving of feedback which will develop your skills in communicating mathematics with others, using the conventions of the discipline and of the English language. The learning activities will also prompt you to critically reflect upon your learning of mathematics and the ways that you work with others when doing mathematical activity.
Feedback on Learning and Assessment
Feedback on your learning in is this unit will be provided to you in a variety of ways:
- The completion and discussion of workshop activities will support the development of your understanding and ability in regard to mathematical knowedge and skills. Your active particpation in these workshops will provide you with an opportunity to test your ideas, receive feedback from your peers and your tutor, and refine your understanding and ability. The feedback received through participation in the workshop activities will directly contribute to your completion of the unit's summative assessment tasks; and
- In regard to feedback on your submitted summative assessment, you will receive feedback in multiple ways: generic comments will be provided to the entire cohort via the Canvas system; completed criterion-referenced assessment rubrics will show your achievement with regard to each criterion of the assessment task; and written or verbal comments in regard to your work.
Assessment
Overview
There are two assessment items: the Exam you will sit at the end of the semester; and the group-based Extended Modelling Task to be completed by the end of the teaching period.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Extended Modelling Task
Working in a small group, you will be provided with an authentic problem to be solved. You will submit a short report that communicates your problem-solving work.
This task will assess your understanding of the mathematical content knowledge presented during the semester and your ability to apply that understanding to solve a mathematical problem, reflecting on the process of working as a team to solve such a problem. It will also assess your ability to communicate your mathematical understanding and skills using the language, representations and conventions of mathematics and using text, grammar and vocabulary conventions of the English language.
This is an assignment for the purposes of an extension.
Assessment: Examination (written)
At the conclusion of the semester, you will complete an examination that covers the breadth of unit content. The examination will include questions related to mathematical concepts, their representations, and their application in problem solving and reasoning. The use of suitable technology will be permitted.
This task will assess your understanding of the mathematical content knowledge presented during the semester and your ability to apply that understanding to solve mathematical problems of varying conceptual complexity and context familiarity. It will also assess your ability to communicate your mathematical understanding and skills using the language, representations and conventions of mathematics and using the text, grammar and vocabulary conventions of the English language.
Duration: 3 hours
Academic Integrity
Students are expected to engage in learning and assessment at QUT with honesty, transparency and fairness. Maintaining academic integrity means upholding these principles and demonstrating valuable professional capabilities based on ethical foundations.
Failure to maintain academic integrity can take many forms. It includes cheating in examinations, plagiarism, self-plagiarism, collusion, and submitting an assessment item completed by another person (e.g. contract cheating). It can also include providing your assessment to another entity, such as to a person or website.
You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.
Further details of QUT’s approach to academic integrity are outlined in the Academic integrity policy and the Student Code of Conduct. Breaching QUT’s Academic integrity policy is regarded as student misconduct and can lead to the imposition of penalties ranging from a grade reduction to exclusion from QUT.
Resources
Risk Assessment Statement
There are no out-of-the-ordinary risks associated with the general conduct of this unit. Workplace Health and Safety protocols associated with computer use will apply.