Information on this page, including unit offerings, is from the 2020 academic year.
Mathematics for Teaching Secondary (7-10) (MAS540)
|Organisational Unit||Information Technology, Mathematics and Statistics|
|Availability||MURDOCH: S1-external, S2-external|
|Teaching Timetables||Murdoch S1
|Description||This unit considers mathematics topics that are required for the teaching of the secondary mathematics curriculum in years 8 to 11. Topics include algebra; polynomials, exponential, logarithmic and sinusoidal functions and their graphs; linear equations and matrices; basic concepts of differential and integral calculus and applications. In addition to necessary concepts and skills, students will develop, through project work, an understanding of the history and real-world applications of selected topics, and how they can be presented effectively to a student audience.|
|Unit Learning Outcomes||On successful completion of the unit students should be able to:
1. Solve a variety of mathematical problems related to the Unit Content. In particular, students should be able to:
a. solve systems of linear equations using a variety of methods;
b. find function asymptotes, limits, and rates of change;
c. use trigonometry to model periodic behaviour;
d. find derivatives from first principles as well as apply the product, quotient, and chain rules of differentiation;
e. model exponential growth and decay;
f. use the first and second derivative of a function to find and characterise relative extrema; and
g. carry out a variety of other analyses as a way to translate and generate pedagogical content knowledge.
2. Analyse and transmit the various methods covered in the unit and their correct usage.
3. Explain the historical development of selected concepts and methods covered in the unit in order to transmit this knowledge to their students.
4. Translate the pedagogical content knowledge of the unit to real world applications to motivate their importance to secondary school students.
|Timetabled Learning Activities|
|Unit Learning Experiences||This unit uses a mixture of structured activities (in the form of lectures), semi-structured activities (in the form of workshops), independent reading and assessments (in the form of assignments, a project and a final exam) to assist students in learning the material covered in the unit. External students can choose to watch the recorded lectures on Echo360 or to study from the textbook following the learning guide, but a combination of both is recommended.|
|Assessment||All students' abilities to solve relevant mathematical problems will be assessed at regular intervals during the semester via assignments. These assessments are designed to allow students to demonstrate their ability in each of the content areas of the unit and to give them regular feedback on their progress, helping them to identify their areas of strength or weakness during the semester. Assignment solutions and results will be posted progressively on the Learning Management System. The weightings for assessment items are as follows:
Assignments (5) - 25%
Project - 15%
Final Examination - 60%
|Prerequisites||Enrolment in the Graduate Certificate in Education (Secondary Mathematics 7-10)|
|Appears in these Courses/Majors:
see individual structures for context
|Internet Access Requirements||Murdoch units normally include an online component comprising materials, discussions, lecture recordings and assessment activities. All students, regardless of their location or mode of study, need to have access to and be able to use computing devices with browsing capability and a connection to the Internet via Broadband (Cable, ADSL or Mobile) or Wireless. The Internet connection should be readily available and allow large amounts of data to be streamed or downloaded (approximately 100MB per lecture recording). Students also need to be able to enter into online discussions and submit assignments online.|