Professional Development Videos: Further Pure Mathematics

These videos explore ideas for teachers to consider when introducing topics in AS or A level Further Mathematics lessons. Each video is approximately six or seven minutes in length and focuses on one of five themes.

The videos were filmed at Notre Dame High School, Sheffield in February 2018.

Videos



Introducing topics in further maths


Questions for reflection

  • What are the advantages and disadvantages of introducing a topic in further maths by offering students an exploratory approach?
  • Are there any topics in further maths that require more input from the teacher to introduce than others?
  • Do you introduce topics in further maths in a different way to how you introduce them in A level Maths?

Related resources



Building mathematics knowledge and making connections


Questions for reflection

  • What mathematical knowledge from GCSE do students need to have to access the pure topics in AS Further Maths?
  • How do you encourage your further maths students to look for connections with mathematics that they already know?
  • To what extent do further maths topics strengthen and extend mathematics that students meet in AS Maths?

Related resources



Using group activities in the further maths classroom


Questions for reflection

  • How do group or paired activities in the further maths classroom support students with their understanding?
  • How do you make sure that all students in a group benefit from a group activity?
  • What sort of classroom tasks and activities promote mathematical thinking, questioning and discussion?

Related resources



Using rich tasks


Questions for reflection

  • What are the features of a mathematically rich task?
  • What opportunities do you provide for your students to deepen and broaden their understanding of the topics that they meet in further maths?
  • How do you encourage students to discuss the mathematics they are learning if they are reluctant to do so?

Related resources



Using technology in further maths


Questions for reflection

  • In what way does using dynamic software in the classroom support students’ learning?
  • What are the advantages and disadvantages of using files prepared in advance?
  • What does it add to an activity when students can manipulate the software themselves (and not just watch the teacher do it)?

Related resources



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