Foundations of Mathematics Teaching

This subject has the following teaching availabilities in 2016:

170 hours

Admission to the Master of Teaching (Secondary)

A pass in a mathematics subject at Year 12

For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Student Support and Engagement Policy, academic requirements for this subject are articulated in the Subject Overview, Learning Outcomes, Assessment and Generic Skills sections of this entry.

It is University policy to take all reasonable steps to minimise the impact of disability upon academic study, and reasonable adjustments will be made to enhance a student's participation in the University's programs. Students who feel their disability may impact on meeting the requirements of this subject are encouraged to discuss this matter with a Faculty Student Adviser and Student Equity and Disability Support: http://services.unimelb.edu.au/disability

This subject provides an introduction to teaching Years 7-9 mathematics in Victorian schools. Teacher candidates will develop pedagogical content knowledge of the mathematics content strands in the Australian curriculum, especially related to Algebra, Number, Statistics and Probability. In particular, in Number, they will consider strategies for developing school students’ understanding of place value, fractions, decimals and percentages.

Teacher candidates will consider curriculum (AusVELS) documents, lesson planning, effective use of resources (e.g. textbooks, technology), assessment and the provision of a balanced curriculum incorporating the four proficiency strands in the Australian curriculum: Understanding, Fluency, Problem Solving and Reasoning.

Teacher candidates will consider important pedagogical issues such as: questioning, selection of good examples, representations and models of mathematical ideas to widen their understanding of what good mathematics teaching should be at years 7-9.

On completion of this subject teacher candidates will be able to:

• demonstrate understanding of school students’ learning in years 7-9 mathematics;
• demonstrate knowledge of the Victorian years 7-9 mathematics curriculum;
• demonstrate the ability to plan effective mathematics lessons incorporating good teacher questions and appropriate examples, explanations and tasks;
• critically analyse teaching resources;
• demonstrate a knowledge of how to assess mathematical understanding.

The subject covers a range of the National Professional Standards for Teachers (for Graduate Teachers). In particular, the subject will contribute to students attaining the following standards:

2.6 Information and Communication Technology (ICT)

3.3 Use teaching strategies

3.4 Select and use resources

There are two assessment tasks:

• A report (2000 words equivalent) due mid-semester , 50%
• A written assignment on diagnosis and remediation of school students’ mathematical misconceptions (2000 words) due end of semester, 50%

There is 1 hurdle requirement:

• Teacher candidates will be required to demonstrate mastery in a mathematics test at Year 10 standard. They should prepare beforehand by working through current secondary school texts.

This subject has a minimum hurdle requirement of 80% attendance at all tutorials, seminars and workshops.

This subject is not available as a breadth subject.

On completion of this subject, teacher candidates will have the knowledge, skills and understanding to enable them to:

• Be skilled communicators who can effectively articulate and justify their practices as knowledgeable agents of changes.
• Be flexible and able to adapt to change through knowing how to learn;
• Understand the significance of developing their practice on the basis of research evidence;
• Work in teams with skills in cooperation, communication and negotiation;
• Be independent of mind, responsible, resilient, self-regulating;
• Have a conscious personal and social values base.