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Unit of study_

EDUP2035: Teaching Primary Mathematics 2

Semester 2, 2023 [Normal day] - Camperdown/Darlington, Sydney

In this second unit of study in Mathematics pedagogy and curriculum, students will explore children's development of number sense and understandings of number operations (up to the end of Stage 2 of the curriculum). In practical workshops, students will gain experience in the use of a variety of representations of number and of age-appropriate and inclusive pedagogies for young children. Students will learn the technique of diagnostic interview and develop assessment-based teaching plans. The mathematics content focus is numeration, operations and algebraic thinking.

Unit details and rules

Unit code EDUP2035
Academic unit Education
Credit points 6
Prohibitions
? 
None
Prerequisites
? 
36cp of 1000-level EDUP units
Corequisites
? 
None
Assumed knowledge
? 

None

Available to study abroad and exchange students

No

Teaching staff

Coordinator Jennifer Way, jennifer.way@sydney.edu.au
Lecturer(s) Jennifer Way, jennifer.way@sydney.edu.au
Tutor(s) Katherin Cartwright, katherin.cartwright@sydney.edu.au
Type Description Weight Due Length
Assignment Critical Reflection: Early number learning
Online discussion with a group of peers across weeks 3, 6 & 12.
40% Multiple weeks 1750
Outcomes assessed: LO1 LO4 LO5 LO6
Assignment hurdle task group assignment Planning from diagnostic assessment
Conduct an interview, analyse and plan teaching. Small group.
60% Please select a valid week from the list below 2750
Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6
Small test Number knowledge
Online quiz on numeration & number properties
0% Week 11 30 minutes
Outcomes assessed: LO7
hurdle task = hurdle task ?
group assignment = group assignment ?

Assessment summary

  • Critical reflection - Contribute well-reasoned arguments, evidence-based opinions and well-considered questions to a professional discussion with peers. Complete a self-assessment of levels of critical reflection using a rubric.
  • Planning from diagnostic assessment - working with a partner, conduct a diagnostic interview with a 4-6 year old child, analyse the data and design appropriate learning experiences for the child, using the proformas provided.
  • Number Knowledge - complete an online quiz to test your knowledge of numeration and number properties and consider the feedback. Retake the test to improve your score.

Detailed information for each assessment can be found on Canvas

Assessment criteria

Result Mark Range Description
HD 85-100 Awarded when you demonstrate the learning outcomes for the unit at an exceptional standard
DI 75-84 Awarded when you demonstrate the learning outcomes for the unit at a very high standard
CR 65-74 Awarded when you demonstrate the learning outcomes for the unit at a good standard
PA 50-64 Awarded when you demonstrate the learning outcomes for the unit at an acceptable standard
FA 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.

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.

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.

WK Topic Learning activity Learning outcomes
Week -02 Concept development and mathematical representations Early number sense Lecture (1 hr) LO1 LO7
Early number sense, subitizing, counting with understanding, cardinal and ordinal number. Selecting and adapting resources – digital, concrete, books and rhymes. Connecting with Numeracy learning outside the school. Tutorial (2 hr) LO1 LO4 LO6 LO7
Week -03 Developing early arithmetic strategies based on counting Lecture (1 hr) LO1 LO2
Early arithmetic strategies based on counting Games as learning activities and inclusive practices for diverse student needs Structure of a number skills lesson Tutorial (2 hr) LO1 LO3 LO4 LO5
Week -04 Developing addition & subtraction – non-counting strategies (Facile/flexible) Promoting fluency with number facts Lecture (1 hr) LO1 LO2 LO7
Promoting fluency with number facts, vocabulary development and verbal explanations of mental strategies. Problem solving and recording – working mathematically processes. The role of drawing and interpreting children’s work samples, catering for variation in student characteristics. Tutorial (2 hr) LO1 LO2 LO3 LO5 LO7
Week -05 Assessing number strategies through diagnostic interview Tracking student progression and principles of assessment-based planning Lecture (1 hr) LO1 LO2 LO3
Assessing number strategies through diagnostic interview Tracking student progression and principles of assessment-based planning Tutorial (2 hr) LO1 LO2 LO3
Week 01 The role of motivation & engagement in mathematics learning and teaching. (Assessment 1 briefing) Number in the syllabus (Stages ES1-S2), Numeracy Learning Progression Lecture (1 hr) LO1 LO5
Number in the syllabus (Stages ES1-S2) Inclusive practices for diverse student needs - approaching number sequencing and numeral recognition in different ways Tutorial (2 hr) LO1 LO4 LO5
Week 06 Numeration systems – understanding place value Lecture (1 hr) LO7
Exploring bases and alternative algorithms Number properties and their applications Tutorial (2 hr) LO7
Week 07 Applying place value thinking for addition and subtraction. Structured and open number lines Lecture (1 hr) LO1 LO7
Using ‘Number Talks’ (&Talk Moves) to develop and assess mental calculation and representational strategies. Moving towards written algorithms through modelling and verbalization, including digital enablers. (Decomposition and Equal addends methods) Tutorial (2 hr) LO1 LO2 LO6 LO7
Week 08 Development of early multiplication and division Lecture (1 hr) LO1
Inclusive pedagogy for equal groups and skip-counting and Sharing and Grouping division problems – with emphasis on minimizing language barriers. Exploring factors and multiples with arrays Tutorial (2 hr) LO1 LO4 LO7
Week 09 Extending multiplication & division strategies - moving from additive to multiplicative thinking – Numeracy Learning Progression Lecture (1 hr) LO1 LO2 LO3
Exploring informal recording of multiplication and division strategies. Lesson structures for promoting conceptual reasoning (revisit L-E-S lessons) Tutorial (2 hr) LO1 LO3 LO7
Week 10 Pattern, spatial structure and mathematical thinking Lecture (1 hr) LO1 LO7
Patterning workshop – diverse representations, digital resources, the emergence of generalisation. Strategies for finding number patterns and building the language of pattern Tutorial (2 hr) LO1 LO6 LO7
Week 11 Number relations and algebraic thinking Inductive and deductive reasoning Lecture (1 hr) LO1 LO7
Exploring odd and even numbers and other number properties. Scaffolding number investigations to cater for a range of student needs Calculators and apps as investigation tools Tutorial (2 hr) LO1 LO3 LO4 LO5 LO6 LO7
Week 12 Early fraction concepts, representation and language. Anticipating student difficulties and avoiding misconceptions Lecture (1 hr) LO1 LO3 LO4 LO5 LO6
Anticipating student difficulties and avoiding misconceptions. Introducing odd denominators. Pedagogy for exploring the relationships between halves, quarters and eighths. Tutorial (2 hr) LO1 LO2 LO3 LO4 LO5 LO6 LO7

Attendance and class requirements

Attendance at both lectures and tutorials are needed to meet the 90% attendance requirements.

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

NSW Mathematics K-6 Syllabus 2023

See Library links in Canvas

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. Demonstrate familiarity with current educational theory and research (including the role of motivation and engagement in learning) as they relate to the teaching and learning of mathematics.
  • LO2. Explore a child’s understanding of early number through informal assessment, and specifically by undertaking a diagnostic interview and analysing the results using a developmental learning framework.
  • LO3. Design learning experiences based on the results of an assessment of a child and using knowledge of the NSW syllabus and support documents.
  • LO4. Discuss research-based knowledge of inclusive pedagogies associated with the teaching of mathematics, including strategies to address the learning needs of students from Aboriginal and Torres Strait Islander backgrounds, cultural and linguistic diversity of students, and students with disability.
  • LO5. Critically reflect on emerging beliefs about how to teach mathematics, particularly regarding interpretations of student ‘abilities’.
  • LO6. Reflect on the appropriate use of digital technologies to enhance a child's mathematical thinking.
  • LO7. Demonstrate increased content knowledge of mathematics, pertaining to number properties, numeration systems and algebraic thinking, and pedagogical content knowledge for early number concepts.

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
GQ1 GQ2 GQ3 GQ4 GQ5 GQ6 GQ7 GQ8 GQ9

Alignment with Competency standards

Outcomes Competency standards
LO1
Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - AITSL
1.2.1. (Graduate) Demonstrate knowledge and understanding of research into how students learn and the implications for teaching.
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.
6.2.1. (Graduate) Understand the relevant and appropriate sources of professional learning for teachers.
LO2
Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - AITSL
1.2.1. (Graduate) Demonstrate knowledge and understanding of research into how students learn and the implications for teaching.
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.
LO3
Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - AITSL
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.
LO4
Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - AITSL
1.3.1. (Graduate) Demonstrate knowledge of teaching strategies that are responsive to the learning strengths and needs of students from diverse linguistic, cultural, religious and socio-economic backgrounds.
1.4.1. (Graduate) Demonstrate broad knowledge and understanding of the impact of culture, cultural identity and linguistic background on the education of students from Aboriginal and Torres Strait Islander backgrounds.
1.6.1. (Graduate) Demonstrate broad knowledge and understanding of legislative requirements and teaching strategies that support participation and learning of students with disability.
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.
LO5
Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - AITSL
1.1.1. (Graduate) Demonstrate knowledge and understanding of physical, social and intellectual development and characteristics of students and how these may affect learning.
1.3.1. (Graduate) Demonstrate knowledge of teaching strategies that are responsive to the learning strengths and needs of students from diverse linguistic, cultural, religious and socio-economic backgrounds.
6.4.1. (Graduate) Demonstrate an understanding of the rationale for continued professional learning and the implications for improved student learning.
LO6
Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - AITSL
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.
LO7
Australian Professional Standards for Teachers (Graduate Level – UG and MTeach) - AITSL
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) -
Competency code Taught, Practiced or Assessed Competency standard
1.1.1 A T P (Graduate) Demonstrate knowledge and understanding of physical, social and intellectual development and characteristics of students and how these may affect learning.
1.2.1 A T P (Graduate) Demonstrate knowledge and understanding of research into how students learn and the implications for teaching.
1.3.1 A T P (Graduate) Demonstrate knowledge of teaching strategies that are responsive to the learning strengths and needs of students from diverse linguistic, cultural, religious and socio-economic backgrounds.
1.4.1 A T P (Graduate) Demonstrate broad knowledge and understanding of the impact of culture, cultural identity and linguistic background on the education of students from Aboriginal and Torres Strait Islander backgrounds.
1.5.1 A T P (Graduate) Demonstrate knowledge and understanding of strategies for differentiating teaching to meet the specific learning needs of students across the full range of abilities.
1.6.1 T P (Graduate) Demonstrate broad knowledge and understanding of legislative requirements and teaching strategies that support participation and learning of students with disability.
2.1 T Content and teaching strategies of the teaching area
2.1.1 A T P (Graduate) Demonstrate knowledge and understanding of the concepts, substance and structure of the content and teaching strategies of the teaching area.
2.2.1 A (Graduate) Organise content into an effective learning and teaching sequence.
2.3.1 A T P (Graduate) Use curriculum, assessment and reporting knowledge to design learning sequences and lesson plans.
2.4.1 A (Graduate) Demonstrate broad knowledge of, understanding of and respect for Aboriginal and Torres Strait Islander histories, cultures and languages.
2.6.1 P (Graduate) Implement teaching strategies for using ICT to expand curriculum learning opportunities for students.
3.2.1 A T P (Graduate) Plan lesson sequences using knowledge of student learning, content and effective teaching strategies.
3.3.1 A T P (Graduate) Include a range of teaching strategies.
3.4.1 P (Graduate) Demonstrate knowledge of a range of resources, including ICT, that engage students in their learning.
5.1.1 A T P (Graduate) Demonstrate understanding of assessment strategies, including informal and formal, diagnostic, formative and summative approaches to assess student learning.
6.2.1 T P (Graduate) Understand the relevant and appropriate sources of professional learning for teachers.
6.4.1 A T P (Graduate) Demonstrate an understanding of the rationale for continued professional learning and the implications for improved student learning.

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

This is new unit. Student feedback will be used to refine the unit.

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