Unit rationale, description and aim
At a time of rapid ongoing change as a result of globalisation, internationalisation and developing information communication technologies, the ability of educators and allied professionals to empower young people to attain effective numeracy skills and develop a substantive understanding of mathematics as a language to use in solving problems, making connections and communicating ideas in real life is of critical importance. In this unit students will critically examine educational issues in mathematics education from the perspective of the learner. Students will consider theories of learning with particular emphasis on cognitive development, affect and socio-cultural contexts. Students will analyse, synthesise and evaluate research evidence and consider the implications of the research for equitable access to learning and engagement for all students. Students will also have opportunities to undertake intensive study in areas of particular interest.
The aim of this unit is to equip students with the advanced knowledge, integrated understanding and expert skills to critically examine educational issues in mathematics education and to develop a deep understanding of learners' conceptual development as well as curriculum and instructional planning in specific domains of mathematics education.
Campus offering
No unit offerings are currently available for this unit.Learning outcomes
To successfully complete this unit you will be able to demonstrate you have achieved the learning outcomes (LO) detailed in the below table.
Each outcome is informed by a number of graduate capabilities (GC) to ensure your work in this, and every unit, is part of a larger goal of graduating from ACU with the attributes of insight, empathy, imagination and impact.
Explore the graduate capabilities.
Examine theories about cognitive development relat...
Learning Outcome 01
Analyse the influence of affect and socio-cultural...
Learning Outcome 02
Evaluate specific learning areas in mathematics wi...
Learning Outcome 03
Analyse the extent to which relevant curricula and...
Learning Outcome 04
Content
The content of the unit is developed across three modules, which focus upon theories of cognitive development in mathematics, research relevant to mathematics learning and student learning in mathematics across six specific domains.
- Theories of cognitive development in mathematics, including social-constructivism (LO1)
- Research about the significance of the affective domain, language and semiotics, and socio-cultural contexts, and the implications of these considerations for equity and engagement (LO2)
- Learning of students in the early years through to middle school in the following topics, including links to the Australian National Curriculum, use of contexts, language, symbols, and representations, significant concepts (and misconceptions), and the characteristics of effective learning experiences LO3, LO4): whole number and operations;
- rational number and proportional reasoning;
- algebraic thinking;
- measurement;
- spatial visualisation;
- statistics and probability.
Assessment strategy and rationale
In order to successfully complete this unit, postgraduate students need to complete and submit two graded assessment tasks. The assessment strategy used allows students to demonstrate their knowledge and skill related to learning mathematics.
The first task is issues based; the second task focuses on the learning mathematics within a particular domain.
The total assessment will be equivalent to 5,500 words.
Overview of assessments
Assessment Task 1 Issue related to the learning o...
Assessment Task 1
Issue related to the learning of mathematics.
Students will be required to focus on one of the following issues: theories of cognitive development, the relationship between affect and learning, social-cultural contexts or equity and engagement
50%
Assessment Task 2 Issue related to the learning o...
Assessment Task 2
Issue related to the learning of mathematics within a particular domain.
A written or oral presentation focusing on issues related to the learning of a particular domain of mathematics. The essay will contain a literature review of research into learners’ conceptual development in the domain, a critique of the treatment of the domain in relevant curricula, and application of the findings through planning and teaching a unit of work
50%
Learning and teaching strategy and rationale
This unit is offered in fully online mode via the Canvas site. Engagement for learning is the key driver in the delivery of this curriculum, therefore an active learning approach is utilised to support students in their exploration and demonstration of achievement of the unit’s identified learning outcomes. A range of strategies will be used to support active learning and may include: online tutorials, workshops and seminars; synchronous and/or asynchronous digital engagement in reading/library tasks and presentations, learning activities, discussion forums and consultation as mediated through the Canvas site. The set tasks are structured to facilitate active graduate involvement, critical reading and reflection, and discussions focused on key issues and research findings in the learning of mathematics as well as implications for practice. Students will study all modules but will choose two areas of particular interest around which to focus their assignments.
This is a 10-credit point unit and has been designed to ensure that the time needed to complete the required volume of learning to the requisite standard is approximately 150 hours in total across the semester. To achieve a passing standard in this unit, students will find it helpful to engage in the full range of learning activities and assessments utilised in this unit, as described in the learning and teaching strategy and the assessment strategy. The learning and teaching and assessment strategies include a range of approaches to support your learning such as reading, reflection, discussion, webinars, podcasts, video, workshops, and assignments etc.
AUSTRALIAN PROFESSIONAL STANDARDS FOR TEACHERS
On successful completion of this unit, students should have gained evidence towards the following standards: