The values of mathematical activity are varied. At the most basic level, every human needs to be able to understand and apply skills in arithmetic; in our increasingly technological world the modelling of abstract processes is continually becoming more important. As the common language of the sciences, mathematics enables people across time, cultures and disciplines to communicate and collaborate in the development of human knowledge. As the description and exploration of pattern and structure, mathematics serves as artistic and spiritual inspiration. For our girls to develop as young mathematicians, it is important that they recognise the value the mathematics department place upon intellectual engagement and development; reflection, observation, conjecture, exploration and conclusion are all important skills developed within their mathematics lessons. To succeed in school mathematics – and to take mathematics skills into the world beyond school – depends upon recognising that actively applying one’s knowledge and deductive skills leads to the development of greater understanding.
During the first three years at St Paul’s, the girls will lay the foundations required for the IGCSE whilst studying beyond the confines of the usual curriculum. Extension topics, such as the binomial expansion and Pascal’s triangle, are introduced in response to their interests and in avenues of exploration identified by their teachers. Regardless of ability in mathematics, we give every pupil the opportunity to be challenged, supported and inspired. For us, it is just as important that the weakest student achieves an A or A* at IGCSE as it is that the most able secure a place to read mathematics at Cambridge or Caltech.
At the end of the VI, all girls sit the Edexcel IGCSE examination consisting of two calculator papers. The IGCSE provides a strong preparation for further studies in mathematics, opening up experience of topics such as calculus, functions and set theory. Some girls will also sit the OCR Free Standing Mathematics Qualification, commonly referred to as additional mathematics.
After IGCSE, most girls choose to take A level mathematics. For AS mathematics the students in the VII study the Edexcel modules C1, C2 (Pure Mathematics) and S1 (Statistics). To complete the A level Edexcel modules C3, C4 and M1 (Mechanics) are taken in the VIII. Those students pursuing A level further mathematics complete A level mathematics in the VII and then go on to study more pure and applied modules for further mathematics in the VIII. Mathematics has been designated a ‘Tier 3’ subject in the upcoming A level reforms; teaching in the new specifications will begin in September 2017. Upon publication of new course specifications by the examination boards, a choice will be made that best serves the needs of the girls of St Paul’s Girl’s School.
Here, mathematics is a valued activity beyond the requirements of the syllabus. Every year girls are entered for the UKMT Maths Challenge, with many qualifying for the subsequent Olympiad rounds. For those who enjoy competitions, we enter teams into the UKMT Team Challenge (winners in 2011) and UKMT Senior Team Challenge, as well as the London schools Hans Woyda competition (runners-up in 2012 and winners in 2014). For the less competitively minded, there are opportunities such as a trip to Bletchley Park, a weekly Codebreaking Club, Maths Society lectures from visiting speakers and attendance at occasional lectures at the Institute of Education, Royal Institution and Gresham College.