Outline

Overview

This is the second unit of study in a suite of mathematics curriculum units. In this unit, students will develop further skills in mathematics pedagogy. The unit will emphasise the integration of knowledge within and across the discipline area of mathematics and consider the role teachers play in facilitating pedagogy that scaffolds subject learning and connects to students' lives. This unit will provide students with the practical and theory-informed knowledge required to respond to the needs of diverse learners in mathematics.

Unit details and rules

Academic unit	Education
Credit points	6
Prerequisites ?	96 credit points including EDSE3131
Corequisites ?	None
Prohibitions ?	None
Assumed knowledge ?	None
Available to study abroad and exchange students	No

Teaching staff

Coordinator	Ben Zunica, benjamin.zunica@sydney.edu.au
Guest lecturer(s)	Eddie Woo, eddie.woo@sydney.edu.au
Lecturer(s)	Bronwyn Reid O'Connor, bronwyn.reidoconnor@sydney.edu.au
Lecturer(s)	Ben Zunica, benjamin.zunica@sydney.edu.au

Assessment

The census date for this unit availability is 2 September 2024

Details
Criteria

Type	Description	Weight	Due	Length
Assignment	Pedagogical use of Digital Technologies in the teaching and learning of mathematics Essay on the usefulness of technology in the Mathematics classroom.	40%	Mid-semester break Due date: 06 Oct 2024 at 23:59	2000 words
Outcomes assessed:
Presentation	Problem Presentation Presentation to the class on solving a stage 5 problem	10%	Multiple weeks	5 mins
Outcomes assessed:
Assignment	Unit of work Unit of work on a Stage 5 syllabus topic	50%	Week 13 Due date: 03 Nov 2024 at 23:59	2000 words
Outcomes assessed:
= group assignment ?

Assessment summary

Assignment – Unit of Work:

Part A (group) – Plan a teaching program for a Unit of Work based on content from a Stage 4 or 5 topic from the NSW Syllabus for the Australian Curriculum: Mathematics K-10. Begin by doing a draft plan, overview and/or mindmap for a unit of work by looking at the key ideas you would like the students to learn. Include this with your assignment (it may be hand drawn). Plan for 4 lessons (the unit itself will contain more lessons but only 4 need to be planned in detail)
Part B (individual) – Each week a problem-solving or challenging question from the topic of the week will be presented by an assigned students from each workshop group. You will be presenting the solution to your assigned problem as if your class mates were your students. Presentations will occur at the beginning of the workshop. Your question will be allocated to you 2 weeks before the week you are assigned to present. You may choose to use any digital, or visual aids (e.g., PPT slides). You may also like to simply write on the class whiteboard or visualiser (for on campus students). Remote students are able to annotate documents on Zoom, or use PPT slides or other digital aids as well.

Assignment – Technologies and other pedagogical approaches used in learning and teaching mathematics: This is a short paper on technologies and other pedagogical approaches used in learning and teaching mathematics. Your paper should include the following:

Rationale for the use of technology – Choose the use of at least one technology that could be used in your Unit of Work (eg. dynamic geometry software, graphing tools, 3D drawing tools, coding, spreadsheets, apps, blogs, wikis, mind maps, websites, etc.). Through the literature and your own use of the technology, develop a rationale for its ability to support the teaching and learning of concepts (identify these) in your Unit of Work and any other topics in Stages 4 and 5 in the NSW Syllabus for the Australian Curriculum: Mathematics K-10.
Drawing on literature, explain how technology can be used to engage students and justify your choice of tasks, activities and pedagogical approaches. Discuss how your lessons will cater for the needs of all students in the class.
Include reference to the AAMT (2006) Standards for Excellence in Teaching Mathematics in Australian Schools.

Detailed information for each assessment can be found on Canvas.

Assessment criteria

The University awards common result grades, set out in the Coursework Policy 2014 (Schedule 1).

As a general guide, a High distinction indicates work of an exceptional standard, a Distinction a very high standard, a credit a good standard, and a pass an acceptable standard.

Result name	Mark range	Description
High distinction	85 - 100	Awarded when you demonstrate the learning outcomes for the unit at an exceptional standard, as defined by grade descriptors or exemplars outlined by your faculty or school.
Distinction	75 - 84	Awarded when you demonstrate the learning outcomes for the unit at a very high standard, as defined by grade descriptors or exemplars outlined by your faculty or school.
Credit	65 - 74	Awarded when you demonstrate the learning outcomes for the unit at a good standard, as defined by grade descriptors or exemplars outlined by your faculty or school.
Pass	50 - 64	Awarded when you demonstrate the learning outcomes for the unit at an acceptable standard, as defined by grade descriptors or exemplars outlined by your faculty or school.
Fail	0 - 49	When you don’t meet the learning outcomes of the unit to a satisfactory standard.

For more information see guide to grades.

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

Deduction of 5% of the maximum mark for each calendar day after the due date.
After ten calendar days late, a mark of zero will be awarded.

This unit has an exception to the standard University policy or supplementary information has been provided by the unit coordinator. This information is displayed below:

As per University/Faculty policy.

Academic integrity

The Current Student website provides information on academic integrity and the resources available to all students. The University expects students and staff to act ethically and honestly and will treat all allegations of academic integrity breaches seriously.

We use similarity detection software to detect potential instances of plagiarism or other forms of academic integrity breach. If such matches indicate evidence of plagiarism or other forms of academic integrity breaches, your teacher is required to report your work for further investigation.

Use of generative artificial intelligence (AI) and automated writing tools

You may only use generative AI and automated writing tools in assessment tasks if you are permitted to by your unit coordinator. If you do use these tools, you must acknowledge this in your work, either in a footnote or an acknowledgement section. The assessment instructions or unit outline will give guidance of the types of tools that are permitted and how the tools should be used.

Your final submitted work must be your own, original work. You must acknowledge any use of generative AI tools that have been used in the assessment, and any material that forms part of your submission must be appropriately referenced. For guidance on how to acknowledge the use of AI, please refer to the AI in Education Canvas site.

The unapproved use of these tools or unacknowledged use will be considered a breach of the Academic Integrity Policy and penalties may apply.

Studiosity is permitted unless otherwise indicated by the unit coordinator. The use of this service must be acknowledged in your submission as detailed on the Learning Hub’s Canvas page.

Outside assessment tasks, generative AI tools may be used to support your learning. The AI in Education Canvas site contains a number of productive ways that students are using AI to improve their learning.

Learning support

Simple extensions

If you encounter a problem submitting your work on time, you may be able to apply for an extension of five calendar days through a simple extension.  The application process will be different depending on the type of assessment and extensions cannot be granted for some assessment types like exams.

Special consideration

If exceptional circumstances mean you can’t complete an assessment, you need consideration for a longer period of time, or if you have essential commitments which impact your performance in an assessment, you may be eligible for special consideration or special arrangements.

Special consideration applications will not be affected by a simple extension application.

Using AI responsibly

Co-created with students, AI in Education includes lots of helpful examples of how students use generative AI tools to support their learning. It explains how generative AI works, the different tools available and how to use them responsibly and productively.

Support for students

The Support for Students Policy 2023 reflects the University’s commitment to supporting students in their academic journey and making the University safe for students. It is important that you read and understand this policy so that you are familiar with the range of support services available to you and understand how to engage with them.

The University uses email as its primary source of communication with students who need support under the Support for Students Policy 2023. Make sure you check your University email regularly and respond to any communications received from the University.

Learning resources and detailed information about weekly assessment and learning activities can be accessed via Canvas. It is essential that you visit your unit of study Canvas site to ensure you are up to date with all of your tasks.

If you are having difficulties completing your studies, or are feeling unsure about your progress, we are here to help. You can access the support services offered by the University at any time:

Support and Services (including health and wellbeing services, financial support and learning support)
Course planning and administration
Meet with an Academic Adviser

Weekly schedule

WK	Topic	Learning activity
Week 01	Unit overview, and technology in mathematics	Workshop (2 hr)
Week 01	Exploration of the Stage 5 syllabus structure and changes from 2023 to 2024. Connection to Stage 6 courses	Workshop (2 hr)
Week 02	Algebra and Indices (Core Paths) including binomial products and standard index laws	Workshop (2 hr)
Week 02	Financial Mathematics (Core)	Workshop (2 hr)
Week 03	Equations (Core) including linear equation and inequalities	Workshop (2 hr)
Week 03	Algebra and Indices (Path) including algebraic fractions, fractional indices and surds	Workshop (2 hr)
Week 04	Equations (Path) including quadratic and simultaneous equations. Developing unit sequences. Discussion about Placement.	Workshop (2 hr)
Week 04	Probability (Core and Path)	Workshop (2 hr)
Week 09	Trigonometry (Core) including bearing and angles of elevation and depression.	Workshop (2 hr)
Week 09	Trigonometry (Path) including sine and cosine rules, 3D trigonometry and the unit circle.	Workshop (2 hr)
Week 10	Developing a Working Mathematically classroom. Evaluating assessment in Stage 5 Mathematics.	Workshop (2 hr)
Week 10	Linear Relationships (Core and Path) including gradient, distance and midpoint. Integrating technology into this unit. Developing quality assessment tasks. Pedagogical approaches to units of work.	Workshop (2 hr)
Week 11	Non-Linear Relationships (Core). Assessing student performance in Stage 5 - RoSA and moderation + student data in mathematics. Marking an example unit of work.	Workshop (2 hr)
Week 11	Non-Linear Relationships (Path) including hyperbolas, circles and polynomials. Transformations. Giving and Receiving Feedback.	Workshop (2 hr)
Week 12	Measurement and Geometry (Core and Path) Part 1 including volume and similarity.	Workshop (2 hr)
Week 12	Measurement and Geometry (Core and Path) Part 2 including proof and surface area. Peer feedback on Assignment 2.	Workshop (2 hr)
Week 13	Variation and Rates of Change (Path) and introduction to logarithms.	Workshop (2 hr)
Week 13	Data Analysis (Core and Path) including univariate and bivariate data. Use of technology to for linear regression. Reporting to Parents.	Workshop (2 hr)

Attendance and class requirements

Attendance: The Sydney School of Education and Social Work requires attendance of at least 90 percent of all seminars, workshops or lectures. Where a student is unable to attend at the required rate evidence of illness or misadventure may be required and the student may be required to undertake extra work. Students should discuss the circumstances of their absence(s) with the co-ordinator of the unit of study. Further details are provided in the School canvas site: https://canvas.sydney.edu.au/courses/13426

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 6 credit point unit, this equates to roughly 120-150 hours of student effort in total.

Required readings

NESA (2023). Mathematics K-10 Syllabus. https://educationstandards.nsw.edu.au/wps/portal/nesa/k-10/learning-areas/mathematics

Hine, G., Reaburn, R., Anderson, J., et al (2016). Teaching secondary mathematics. Sydney: Cambridge.

Reys, R.E., Lindquist, M.M., Lambdin, D.V., Smith, N.L., Rogers, A., Cooke, A., Robson, K., Ewing, B. & West, J. (2020). Helping children learn mathematics. 3rd Australian Edition. Milton, QLD: John Wiley & Sons Australia, Ltd.

Essential Readings:

Attard, C. & Holmes, C. (2020a). Technology-enabled mathematics education: Optimising student engagement. Routledge.

Attard, C. & Holmes, C. (2020b). "It gives you that sense of hope": An exploration of technology use to mediate student engagement with mathematics. Heliyon, 6(1), pp. 1-11. https://doi.org/10.1016/j.heliyon.2019.e02945

Clarke, D., & Clarke B. (2002). Using rich assessment tasks in mathematics to engage students and inform teaching. Background paper prepared for seminar for upper secondary teachers in Stockholm. (http://www.arm.catholic.edu.au/educational-resources/curriculum/pd-items/assessment_paper_rich%20tasks.pdf)

Goos, M., Stillman, G., & Vale, C. (2007). Teaching secondary school mathematics: Research and practice for the 21st century. Sydney: Allen & Unwin.

Killen, R. (2013). Effective teaching strategies: Lessons from research and practice. 6th Edition. South Melbourne, Vic.: Cengage Learning.

Laud, L. (2011). Using formative assessment to differentiate mathematics instruction, grades 4-10: Seven practices to maximize learning. Thousand Oaks, California: Corwin.

Lehrer, R., Kobiela, M., & Weinberg, P. J. (2013). Cultivating inquiry about space in a middle school mathematics classrooms. ZDM, 45(3), 365-376.

Lovitt, C., & Clarke, D. (2011). The features of a rich and balanced mathematics lesson: Teacher as designer. Educational Designer, 1(4), 1-25 (http://www.educationaldesigner.org/ed/volume1/issue4/article15/pdf/ed_1_4_lovitt_clarke_11.pdf)

Roblyer, M. & Doering, A. (2013) Integrating educational technology into teaching. 6th Edition. UK: Pearson Education Limited. (Note: There are other editions which would also be useful.)

Roblyer, M. & Hughes, J. (2019). Integrating educational technology into teaching: Transforming learning across disciplines. 8th Edition. US: Pearson Education.

Ruthven, K., & Hofmann, R. (2013). Chance by design: Devising an introductory probability module for implementation at scale in English early secondary education. ZDM, 45(3), 409-423 (http://www.educ.cam.ac.uk/people/staff/ruthven/RHpreprintZDM13.pdf)

Stacey, K. (2010). Mathematical and scientific literacy around the world. Journal of Science and Mathematics Education in Southeast Asia, 33(1), 1-16. (http://www.recsam.edu.my/R&D_Journals/YEAR2010/june2010vol1/stacey(1-16).pdf)

Sullivan, P., (2011). Teaching mathematics: Using research-informed strategies. Camberwell, Vic.: Australian Council for Education Research. (http://research.acer.edu.au/aer/13/)

Swan, M. (2005). Improving learning in mathematics: Challenges and strategies. London, UK: Department of Education and Skills Standards Unit.

http://maths-no-fear.wikispaces.com/file/view/Malcolm+Swan-Improving+learning+in+mathematics-challenges+and+strategies.pdf

Weber, K. (2008). Teaching trigonometric functions: Lessons learned from research. Mathematics Teacher, 102(2), 144-150 (http://www.misd.net/mathematics/EMATHGeometryUnits/Transformations/TeachingTrigonometricFunctionsNCTM.pdf)

Wiliam, D. (2013). Assessment: The bridge between teaching and learning. Voices from the Middle, 21(2), 15-20. (http://www.ncte.org/library/NCTEFiles/Resources/Journals/VM/0212-dec2013/VM0212Assessment.pdf)

Wiliam, D. (2017). Embedded formative assessment. 2nd Edition. Bloomington, United States: Solution Tree Press.

Learning outcomes

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University's graduate qualities and are assessed as part of the curriculum.

At the completion of this unit, you should be able to:

LO1. Organise discipline and curriculum knowledge into effective lesson plans, sequences, and assessments that take account of students’ varying learning styles and abilities.
LO2. Collect and evaluate teaching resources that account for the literacy and numeracy requirements in their specific discipline and curriculum areas.
LO3. Design student-centred, inclusive, creative and challenging learning experiences that cater for students from a range of cultural, social, and ethnic backgrounds.
LO4. Display an increasing competence in teaching their discipline and curriculum subject matter, employing appropriate reflective practices to continue developing their skills and identities as practitioners.
LO5. Demonstrate familiarity with current educational theories regarding discipline and curriculum including cross curriculum priorities.

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1	Depth of disciplinary expertise Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.
GQ2	Critical thinking and problem solving Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.
GQ3	Oral and written communication Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.
GQ4	Information and digital literacy Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.
GQ5	Inventiveness Generating novel ideas and solutions.
GQ6	Cultural competence Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.
GQ7	Interdisciplinary effectiveness Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.
GQ8	Integrated professional, ethical, and personal identity An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.
GQ9	Influence Engaging others in a process, idea or vision.

Outcome map

Learning outcomes	Graduate qualities
Learning outcomes

Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) -

Competency code	Taught, Practiced or Assessed	Competency standard
1.5.1		(Graduate) Demonstrate knowledge and understanding of strategies for differentiating teaching to meet the specific learning needs of students across the full range of abilities.
2.1.1		(Graduate) Demonstrate knowledge and understanding of the concepts, substance and structure of the content and teaching strategies of the teaching area.
2.2.1		(Graduate) Organise content into an effective learning and teaching sequence.
2.3.1		(Graduate) Use curriculum, assessment and reporting knowledge to design learning sequences and lesson plans.
2.5.1		(Graduate) Know and understand literacy and numeracy teaching strategies and their application in teaching areas.
2.6.1		(Graduate) Implement teaching strategies for using ICT to expand curriculum learning opportunities for students.
3.1.1		(Graduate) Set learning goals that provide achievable challenges for students of varying abilities and characteristics.
3.2.1		(Graduate) Plan lesson sequences using knowledge of student learning, content and effective teaching strategies.
3.3.1		(Graduate) Include a range of teaching strategies.
3.4.1		(Graduate) Demonstrate knowledge of a range of resources, including ICT, that engage students in their learning.
3.5.1		(Graduate) Demonstrate a range of verbal and non-verbal communication strategies to support student engagement.
3.6.1		(Graduate) Demonstrate broad knowledge of strategies that can be used to evaluate teaching programs to improve student learning.
4.1.1		(Graduate) Identify strategies to support inclusive student participation and engagement in classroom activities.
4.2.1		(Graduate) Demonstrate the capacity to organise classroom activities and provide clear directions.
5.1.1		(Graduate) Demonstrate understanding of assessment strategies, including informal and formal, diagnostic, formative and summative approaches to assess student learning.
6.3.1		(Graduate) Seek and apply constructive feedback from supervisors and teachers to improve teaching practices.

Responding to student feedback

This section outlines changes made to this unit following staff and student reviews.

This unit replaces the old unit code EDSE3063

Additional information

More information about this Unit of Study can be found on Canvas.

Site visit guidelines

If you are undertaking professional experience/field education placement as part of your enrolment in this unit of study, please assess your specific needs and requirements for the safe and successful completion of an external placement within a host organisation. You will be given the opportunity to disclose any health issues that have a work health and safety significance before arranging a placement so that your safety, and the safety of others, can be properly assessed. The Professional Experience Coordinator/Field Education Manager will work to ensure that the workplace assignment to you is appropriate for your needs and requirements. If you are experiencing disability, and require reasonable adjustments to be arranged, please contact Disability Services as early as possible prior to commencing the internship. Please note, in all cases, and for the purpose of organising reasonable adjustments, only the impact and not the nature, of your disability will be disclosed to the host organisation.

Disclaimer

The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.

To help you understand common terms that we use at the University, we offer an online glossary.

Current students

Overview

Overview

Unit details and rules

Teaching staff

Assessment

Assessment

Assessment summary

Assessment criteria

Late submission

Academic integrity

Learning support

Learning support

Simple extensions

Special consideration

Using AI responsibly

Support for students

Weekly schedule

Weekly schedule

Attendance and class requirements

Study commitment

Required readings

Learning outcomes

Learning outcomes

Graduate qualities

Outcome map

Responding to student feedback

Responding to student feedback

Additional information

Additional information

Site visit guidelines

Disclaimer

On this page

Useful links

Media

Student links

About us

Connect

Current students

EDSE3132: Teaching Mathematics 2A

Semester 2, 2024 [Normal day] - Camperdown/Darlington, Sydney

Overview

Overview

Unit details and rules

Teaching staff

Assessment

Assessment

Assessment summary

Assessment criteria

Late submission

Academic integrity

Learning support

Learning support

Simple extensions

Special consideration

Using AI responsibly

Support for students

Weekly schedule

Weekly schedule

Attendance and class requirements

Study commitment

Required readings

Learning outcomes

Learning outcomes

Graduate qualities

Outcome map

Responding to student feedback

Responding to student feedback

Additional information

Additional information

Site visit guidelines

Disclaimer

On this page

Useful links

Media

Student links

About us

Connect