Demonstrate detailed knowledge and critical understanding of the key principles underpinning the current secondary mathematics curriculum.

1) Knowledge and Understanding;
2) Learning;
4) Analysis;
6) Communication.

Demonstrate detailed knowledge and critically evaluate a range of subject specific pedagogical approaches underpinned by educational theory, high quality research and literature.

1) Knowledge and Understanding;
2) Learning;
3) Enquiry
4) Analysis
6) Communication;
7) Application.

Critically analyse a pupil’s work and apply pedagogical techniques they have learned to devise an appropriate learning sequence.

1) Knowledge and Understanding
4) Analysis;
5) Problem Solving;
6) Communication;
7) Application;
8) Reflection.

Intervention Planning Task

Apprentices will analyse a pupil’s assessment, write appropriate feedback and develop a sequence of learning interventions with accompanying resources.

(LOs 2 and 3)

Portfolio of Resources and Evaluation

Apprentices will create a portfolio of 6 teaching resources along with an accompanying 2500-word evaluation. The evaluation should include an analysis of the principles underlying the creation of each resource with reference to educational research and pedagogy. The evaluation should also include a critical evaluation of the use of at least 2 resources along with a personal reflection of their effectiveness.

The portfolio should contain 6 teaching and learning resources of which:
at least 4 should be individually created by themselves
at least 2 should be used in the classroom by themselves
at least 1 should be linked to problem solving

(LOs 1,2 and 3)

In this module, student teachers will develop their understanding of pedagogy relating to the promotion of deeper learning, mathematical thinking and problem solving through an analysis of higher-level subject content with reference to relevant teaching strategies, current education research and teaching for mastery approaches.

Themes will include: coherence; proof; problem solving heuristics; making connections between topics and with prior learning; formative and summative assessment and cognitive load.

This module will deepen your understanding of more advanced subject content with an emphasis on the teaching of proof and problem solving. You will also study various teaching strategies and techniques for checking for understanding to inform planning; marking and feedback, promoting mathematical thinking.

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, using evidence informed teaching resources to deepen understanding of the mathematics secondary curriculum. g activities.

Independent study – students will be expected to use the¿teaching resources to fill in any gaps in their mathematical knowledge. They will also be required to work through sections of reference texts for the module in order to gain a deeper knowledge and understanding of the mathematics curriculum.

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

This module will also provide opportunities for student 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¿

Barton, C. (2023) Tips for Teachers: 400+ ideas to improve your teaching. Hodder education group.

Bills, C., Bills, L., Watson, A., Mason, J. (2004) Thinkers: A Collection of Activities to Promote Mathematical Thinking. Association of Teachers of Mathematics.

University teaching sessions
Tutorials
Placement School/College meetings with school-based mentor.
University library
Materials and Links on L6 Teaching Apprenticeship Degree Blackboard and TEAMS