Demonstrate knowledge and understanding of Key Stage 4 mathematical topics and how these develop into Key Stage 5 Mathematics curriculum.

1) Knowledge and Understanding;
2) Learning;
6) Communication;

Examination

Unstructured questions based on the Secondary Further Maths Curriculum.

(LO 1)

In this module apprentice teachers will further and deepen their understanding of the Secondary Maths Curriculum moving from Key Stage 4 up to Key Stage 5. The Secondary Maths Curriculum is split into 4 themes, Number, Algebra, Geometry and Measure, Probability and Statistics. Apprentice knowledge and critical understanding of these themes will be developed using a variety of evidence informed teaching resources. The pedagogy underlying these resources will be further analysed in subsequent modules.

This module will focus on developing mathematical reasoning and multiple approaches to mathematical problems building knowledge of Key Stage 4 topics and how these lead into the Key Stage 5 curriculum, Apprentices will also develop an understanding of why the various methods are effective and how these methods and skills build from KS4 to KS5. In subsequent modules apprentices will compare and contrast these methods with a view to developing teaching strategies and planning sequences of lessons.

This module builds on the level 4 module by deepening your understanding of the mathematical reasoning underlying the mathematics contained in secondary maths curriculum. Apprentices will build knowledge and understanding of the Key Stage 5 curriculum, using the Key Stage 4 knowledge and understanding as building blocks.

They will focus on multiple methods for solving individual problems and understanding why these various approaches are effective at both KS4 and KS5.

Within this module a number of learning strategies will be used, including workshops and peer group discussion. This will facilitate proactive learning based upon previous experience gained both prior to and during the course.

Workshops – workshops will be lecturer led. Opportunities will be made for group work, peer discussion sharing experiences of their time spent in school.

Independent study – apprentices will be expected to complete both pre- and post-session reading which will enable them to create and evaluate evidence informed resources.

Guided reading – A reading list and appropriate resources will be provided.

This module will also provide opportunities for apprentice teachers to:¿
work¿with their peers and colleagues
develop interpersonal¿and professional skills outlined within the CCF¿
communicate and debate subject¿content¿

For academic support, apprentices can arrange a tutorial/s where draft assessment work may be discussed.¿¿¿

Further academic skills support is available from the academic skills tutors:¿ https://libguides.staffs.ac.uk/study-skills¿and IT support also available: from Digital Services:¿¿ https://libguides.staffs.ac.uk/get-digital

For academic support, apprentices can arrange a tutorial/s where draft assessment work may be discussed.¿¿¿

Further academic skills support is available from the academic skills tutors:¿ https://libguides.staffs.ac.uk/study-skills¿and IT support also available: from Digital Services:¿¿ https://libguides.staffs.ac.uk/get-digital¿

Southall, E. (2021) Yes, but why?¿Teaching for understanding in mathematics. 2nd ed. London: SAGE.

Morgan, J. (2019) A Compendium of Mathematical Methods. John Catt

University teaching sessions
Tutorials
Placement School/College meetings with school-based mentor.
University library
Materials and Links on L5 Teaching Apprenticeship Degree Blackboard and TEAMS