Maths Support Programme Wales
| What | Further Maths Unit 5 Professional Learning (Further Statistics) |
| Who | KS5 teachers |
| When | On Demand |
| How | On Demand |
| To book | rhgmc-mspw@swansea.ac.uk |
More information
This On Demand course will give a comprehensive coverage of FMU5 and is aimed at teachers who currently deliver AS-level Further Maths and would like to deliver A-level Further Maths, or teachers who currently teach FMU5 and would like a refresher.
Topics covered will include:
Combining Normal Distributions and Central Limit Theorem | Linear combination of independent normally distributed random variables. Distribution of the mean of a random sample. Use of the Central Limit Theorem. |
Estimators | Use of unbiased estimators and the variance criterion for choosing between unbiased estimators. Unbiased estimators of a probability and of a population mean and their standard errors. Unbiased estimator of a population variance. |
Hypothesis testing (parametric and non-parametric) | Hypothesis tests for: (a) a specified mean of any distribution whose variance is estimated from a large sample. (b) difference of two means for two independent normal distributions with known variances (c) a specified mean of a normal distribution with unkown variance. Non-parametric tests: Mann-Whitney and Wilcoxon signed-rank tests. Interpret results for all these tests in context. |
Confidence Intervals | Use of confidence intervals for: (a) the mean of a normal distribution with (i) known variance and (ii) unknown variance (b) the difference between the means of two normal distributions whose variances are known. Approximate confidence limits, given large samples, for a probability or a proportion. Interpret results in practical contexts. |
This new On Demand approach is a flexible, online study option, that uses a variety of learning constructs such as tutor-led lecture videos and work pack resources to build up your skills and cement your understanding.
On Demand gives you the flexibility to study when and where you want; lunchtimes, free lessons or at home and at your own pace. There is no start or end date – that is in your hands and you can study in this manner over more than one academic year.
You will be enrolled to a monitored Microsoft Teams channel where fill instructions will guide you through the course at your own pace.
There is opportunity in the Teams channel to collaborate with others doing the course and a forum where you can discuss issues and pedagogy of the topics.
To encourage active participation in the course, a programme of certification is being introduced: certificates will be issued to participants who complete the course and demonstrate their understanding of the concepts and their teaching through a programme of short assignments at the end of each session. This is explained in the Teams channel.
We hope you enjoy the course and that it compliments and contributes to your personal development programme.
To join our On Demand course, please email rhgmc-mspw@swansea.ac.uk