Outline

Overview

This is the second unit of study for both single and double mathematics method secondary student teachers. The focus of this unit of study is a detailed examination of the school of mathematics curriculum to develop student teachers' knowledge and understanding of the mathematics curriculum requirements and appropriate pedagogy. The rationale, aim, content, course requirements and key terms from the curriculum will be examined and used to plan, program and develop lesson plans for key mathematics concepts. Building on their understandings from Mathematics Curriculum 1, student teachers will examine the content strands of the mathematics curriculum to develop appropriate models of pedagogy for teaching and assessment. Common student misconceptions will form the basis of planning and programming so that student teachers are prepared to meet the needs of the full range of students. Additional strategies for differentiating the curriculum and embedding technology into lessons will be explored. A range of technologies will be examined in this unit including interactive whiteboards, computer software packages and graphics calculators. Strategies for assessing mathematics knowledge, skills and understanding will be considered with student teachers developing skills in designing assessment tasks. Assessment for learning and assessment of learning will be discussed with rich tasks developed for both purposes.

Unit details and rules

Unit code	EDMT5663
Academic unit	Education
Credit points	6
Prohibitions ?	None
Prerequisites ?	24 credit points including EDMT5613 and EDMT5676
Corequisites ?	None
Assumed knowledge ?	None
Available to study abroad and exchange students	No

Teaching staff

Coordinator	Ben Zunica, benjamin.zunica@sydney.edu.au
Tutor(s)	Vicki Likourezos, vicki.likourezos@sydney.edu.au

Type	Description	Weight	Due	Length
Assignment	Problem Presentation Presentation to the class on solving a stage 5 problem	10%	Multiple weeks	10 minutes
Outcomes assessed:
Assignment	Pedagogical use of Digital Technologies in the teaching and learning of mathematics Essay on the usefulness of technology in the Mathematics classroom.	40%	STUVAC Due date: 01 Oct 2023 at 23:59	1750 words
Outcomes assessed:
Assignment	Unit of work Groups of 3 (50%)	50%	Week 13 Due date: 05 Nov 2023 at 23:59	2250 words
Outcomes assessed:

Assessment summary

Note: the word count given in the handbook are not correct. The correct word counts are given here.

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).

For Master of Teaching courses, units of study are awarded either a Satisfied Requirements or Failed Requirements.

Result name	Mark range	Description
Failed Requirements	No mark	When you don’t meet the learning outcomes to a satisfactory standard, for units that are marked as either Satisfied requirements or Failed requirements.
Satisfied Requirements	No mark	When you meet the learning outcomes to a satisfactory standard, for units that are marked as either Satisfied requirements or Failed requirements.

For more information see sydney.edu.au/students/guide-to-grades.

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.

You may only use artificial intelligence and writing assistance tools in assessment tasks if you are permitted to by your unit coordinator, and if you do use them, you must also acknowledge this in your work, either in a footnote or an acknowledgement section.

Studiosity is permitted for postgraduate units unless otherwise indicated by the unit coordinator. The use of this service must be acknowledged in your submission.

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.

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	Algebra and Indices (Path) including algebraic fractions, fractional indices and surds.	Workshop (2 hr)
Week 03	Probability (Core and Path)	Workshop (2 hr)
Week 03	Financial Mathematics (Core)	Workshop (2 hr)
Week 04	Equations (Core) including linear equation and inequalities.	Workshop (2 hr)
Week 04	Equations (Path) including quadratic and simultaneous equations. Developing unit sequences. Discussion about Placement.	Workshop (2 hr)
Week 09	Developing a Working Mathematically classroom. Evaluating assessment in Stage 5 Mathematics.	Workshop (2 hr)
Week 09	Linear Relationships (Core and Path) including gradient, distance and midpoint. Integrating technology into this unit. Developing quality assessment tasks.	Workshop (2 hr)
Week 10	Non-Linear Relationships (Core). Assessing student performance in Stage 5 - RoSA and moderation + student data in mathematics.	Workshop (2 hr)
Week 10	Non-Linear Relationships (Path) including hyperbolas, circles and polynomials. Transformations. Pedagogical approaches in Assignment 2.	Workshop (2 hr)
Week 11	Variation and Rates of Change (Path) and introduction to logarithms.	Workshop (2 hr)
Week 11	Data Analysis (Core and Path) including univariate and bivariate data. Use of technology to for linear regression. Grading example units of work. Reporting to Parents.	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	Trigonometry (Core) including bearing and angles of elevation and depression.	Workshop (2 hr)
Week 13	Trigonometry (Path) including sine and cosine rules, 3D trigonometry and the unit circle.	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

Textbooks:

NESA (2019). 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. have developed knowledge of the NSW syllabus for the Australian curriculum: mathematics K-10 syllabus (BOS NSW 2012) its aim, objectives, outcomes, content, course requirements, and key terms,including the outcomes and content of life skills, the links between the content strands (number and algebra, statistics and probability, measurement and geometry) and the process strand (working mathematically), and for particular key concepts in mathematics, develop knowledge of common misconceptions and potential difficulties for students
LO2. demonstrate knowledge of a range of appropriate strategies and resources to support student engagement and learning in mathematics as well as a range of strategies to assess student achievement of learning outcomes and the principles and practices of reporting to students, parents and caregivers
LO3. design and implement lessons and lesson sequences using knowledge of the NSW syllabus for the Australian curriculum: mathematics K-10 syllabus (BOS NSW, 2012), and of research-based knowledge of appropriate pedagogies (including differentiation) which address common student misconceptions
LO4. critically evaluate and use a variety of ICTs for the planning of appropriate activities and lesson sequences to support students' different approaches to learning and to enhance the teaching and learning of mathematics
LO5. demonstrate knowledge and understanding of the full range of assessment strategies including the NSW ROSA and the process of moderation by examining and evaluating student work samples
LO6. develop knowledge of large scale assessment programs used to assess students' knowledge of mathematics and/or numeracy including NAPLAN, TIMSS and PISA and critically evaluate the types of items used, students' results and the implications for classroom practice
LO7. demonstrate knowledge of the Australian Professional Standards for Teachers and their impact on the professional life of a teacher by contributing to discussions about the mathematics teaching profession and by considering the AAMT (2006) Standards for Excellence in Teaching Mathematics in Australian Schools
LO8. develop knowledge of the mathematics teaching profession and the role of professional teaching associations including the Mathematical Association of NSW (MANSW) and the Australian Association of Mathematics Teachers (AAMT), as well as the importance of ongoing professional growth through professional development opportunities.

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

Alignment with Competency standards

Outcomes	Competency standards
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 2.1.1. (Graduate) Demonstrate knowledge and understanding of the concepts, substance and structure of the content and teaching strategies of the teaching area.
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 2.1.1. (Graduate) Demonstrate knowledge and understanding of the concepts, substance and structure of the content and teaching strategies of the teaching area. 2.3.1. (Graduate) Use curriculum, assessment and reporting knowledge to design learning sequences and lesson plans. 5.1.1. (Graduate) Demonstrate understanding of assessment strategies, including informal and formal, diagnostic, formative and summative approaches to assess student learning.
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 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. 2.2.1. (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. 3.2.1. (Graduate) Plan lesson sequences using knowledge of student learning, content and effective teaching strategies.
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 2.6.1. (Graduate) Implement teaching strategies for using ICT to expand curriculum learning opportunities for students. 3.4.1. (Graduate) Demonstrate knowledge of a range of resources, including ICT, that engage students in their learning.
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 5.1.1. (Graduate) Demonstrate understanding of assessment strategies, including informal and formal, diagnostic, formative and summative approaches to assess student learning. 5.3.1. (Graduate) Demonstrate understanding of assessment moderation and its application to support consistent and comparable judgements of student learning. 5.4.1. (Graduate) Demonstrate the capacity to interpret student assessment data to evaluate student learning and modify teaching practice.
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 5.1.1. (Graduate) Demonstrate understanding of assessment strategies, including informal and formal, diagnostic, formative and summative approaches to assess student learning. 5.4.1. (Graduate) Demonstrate the capacity to interpret student assessment data to evaluate student learning and modify teaching practice.
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 6.1.1. (Graduate) Demonstrate an understanding of the role of the Australian Professional Standards for Teachers in identifying professional learning needs.
	Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - 6.2.1. (Graduate) Understand the relevant and appropriate sources of professional learning for teachers.

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.

Changes to organisation of elements of assessments.

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

Weekly schedule

Weekly schedule

Attendance and class requirements

Study commitment

Required readings

Learning outcomes

Learning outcomes

Graduate qualities

Outcome map

Alignment with Competency standards

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

EDMT5663: Mathematics Curriculum 2

Semester 2, 2023 [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

Weekly schedule

Weekly schedule

Attendance and class requirements

Study commitment

Required readings

Learning outcomes

Learning outcomes

Graduate qualities

Outcome map

Alignment with Competency standards

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