05 Chapter 5 · 教 Campus

Teaching 教学

A Graduate Teacher from the first month of the PhD: problem classes, labs, marking and tutorials — now thirteen teaching roles across eleven units in three schools, run with the same AI-native habits as the research.

Fig. 5 — Mean first-passage time to understanding (a playful line, not a claim about students).

Fig. 5 Thirteen roles, three schools Honesty tag: measured
teaching roles, 2026–27
13
units
11
schools
3
Graduate Teacher since
Nov 2025
2025–265 units · first year
2026–2711 units + 1 added · this year
School of Mathematics
School of Engineering Mathematics and Technology (SEMT)
CADE
University of Bristol Business School (2025–26 only)

added this year

One tile per unit; the 13 roles sit across 11 units.

All units as a table
YearSchoolUnitRole
2025–26School of MathematicsFinancial Mathematicsproblem classes and marking
2025–26School of Engineering Mathematics and Technology (SEMT)Mathematical and Data Modelling 3group projects
2025–26School of Engineering Mathematics and Technology (SEMT)Data Science Methods and Practicemarking
2025–26School of Engineering Mathematics and Technology (SEMT)Principles of Physical Modellinglab-kit testing
2025–26University of Bristol Business School (2025–26 only)MSc Data Science for Business — summer projectsworkshop tutor; second marker
2026–27School of MathematicsPerspectives in Data Sciencehelper / moderator
2026–27School of MathematicsPerspectives in Mathematicshelper / moderator
2026–27School of MathematicsTheory of Inferencesupport sessions
2026–27School of MathematicsQuantum Computationmarking
2026–27School of MathematicsIntroduction to Pure Mathematicstutorial group
2026–27School of MathematicsLinear Algebra addedtutorial group (from September 2026)
2026–27School of Engineering Mathematics and Technology (SEMT)Engineering Mathematics 1demonstrating and marking
2026–27School of Engineering Mathematics and Technology (SEMT)Mathematical and Data Modelling 3group supervision
2026–27School of Engineering Mathematics and Technology (SEMT)Statistical Computing and Empirical Methodslabs
2026–27School of Engineering Mathematics and Technology (SEMT)Foundations of AIteaching support
2026–27CADEAI-Driven Design and Simulationteaching support
2026–27CADEMSc Group Research Project (MSc Engineering with AI)group projects
Fig. 5 Mean first-passage time to understanding — a playful line, not a claim about students.

The record

The PhD and the teaching began together. Within weeks of starting, there were contracts in two schools; a year later, thirteen roles in three. Problem classes, labs, marking and tutorials — and, behind them, the same AI-native habits as the research.

The first year ranged widely: problem classes in Financial Mathematics, modelling projects with an industry brief, lab kits to debug, a summer of project workshops for business students, and dissertations to second-mark. The new year opened with a pure-maths tutorial, an R lab and a Linear Algebra group in the same week.

The tools came along: a course hub that agents can navigate, a copy-ready feedback tool, an offline bilingual library built in a day, and an escape-room concept in which students must prove a confident AI wrong. Aggregates only here — no student data, ever.

A Graduate Teacher from the first term

Within weeks of starting the PhD, registered for teaching support and signed two contracts: a Demonstrator role in the School of Engineering Mathematics and Technology in early December 2025, and a Graduate Teacher role in the School of Mathematics for the teaching block starting in January 2026. The PhD student became a teacher in the same term — problem classes, labs and marking.

Graduate Teacher · Demonstrator

Completed

Problem classes in Financial Mathematics

From January to May 2026, taught problem classes for the third-year and MSc unit Financial Mathematics in the School of Mathematics, and marked its formative and then its assessed problem sheets — including getting marks and written feedback back to students through the virtual learning environment in bulk rather than one by one.

Completed

Group projects in Mathematical and Data Modelling 3

Supported third-year modelling teams in Mathematical and Data Modelling 3 during the second teaching block, including a group working on an industry-set project: structured written feedback on their report, help re-laying it in the university's LaTeX template, and peer-evaluation input as the group's teaching-support lead. Along the way, a small copy-ready web tool made delivering blocks of feedback faster.

Completed

Running the teaching the AI-native way

Behind the teaching sits a workflow: all teaching-support material organised into a structured course hub with an index written for AI agents, and agents that rebuilt a whole term's allocations, timetable clashes and weekly plans from mail records, calendars and shared rotas. It is the same method as the research — structure first, then let agents do the tedious reconstruction, then check it — applied to thirteen teaching roles.

Ongoing

Marking for Data Science Methods and Practice

Marked a batch of first-theme coursework for the MSc unit Data Science Methods and Practice in the School of Engineering Mathematics and Technology in February 2026, working from the theme brief and a shared marking sheet so that every script was judged against the same criteria.

Completed

Debugging the lab kits for Principles of Physical Modelling

Invited in February 2026 to test, sort and inspect the lab kits used by undergraduates in Principles of Physical Modelling: two on-site testing days and an inspection report with photographic evidence of every defect. A hands-on counterpoint to the theory — a mathematician debugging physical kit.

Completed

AI and data-science project workshops for business students

Over the summer of 2026, helped run a weekly in-person workshop supporting MSc Data Science for Business students through their group and individual dissertation projects — a maths PhD teaching AI projects to business students, one Tuesday at a time.

Completed

2026–27: thirteen roles across three schools

For 2026–27, thirteen teaching roles across eleven units in three schools. In Mathematics: Perspectives in Data Science and Perspectives in Mathematics, support sessions for Theory of Inference, marking for Quantum Computation and a tutorial group for Introduction to Pure Mathematics. In SEMT: demonstrating and marking for Engineering Mathematics 1, group supervision in Mathematical and Data Modelling 3, labs in Statistical Computing and Empirical Methods, and Foundations of AI. In CADE: AI-Driven Design and Simulation, and the group research project of the new MSc in Engineering with AI. A Linear Algebra tutorial group was added in September.

Ongoing

Teaching roles
13
Units
11
Schools
3

‘The Confident Assistant’: an AI-literacy escape room

A concept for an AI and programming literacy escape room: an overconfident assistant hands the players code that looks right, and the only way out is to verify it — write the failing test, find the evidence — instead of trusting a confident answer. It is the verify-everything habit of the research, turned into a game for students.

Concept

Second marker for MSc dissertations

In September 2026, second-marked a set of MSc Data Science for Business dissertations, including a group project, following the programme's new marking guidance and agreeing final marks for the written component with the first markers.

Completed

An offline, bilingual teaching library

For the first tutorial of Introduction to Pure Mathematics, a tablet-first web app was built and tested in a day: an English-first teaching script and a bilingual reference library of 39 topics — overviews, prerequisites and strategies — that works offline, with mathematics typeset locally and no tracking of any kind. The same site now carries a Linear Algebra section.

Live

Topics
39

The first R lab of the new year

Demonstrated the Week 1 R lab for the MSc unit Statistical Computing and Empirical Methods on 23 September 2026 — a unit taken as an MSc student two years earlier — after preparing a bilingual teaching pack that works through all 25 Week 1 exercises.

Completed

The first Linear Algebra tutorial

Taught the year's first Linear Algebra tutorial to a first-year group in the Fry Building on Friday 25 September 2026, 09:00–10:00, with printed worksheet sets prepared the day before — a group added to the year's teaching in September.

Completed

Evidence ledger

Every public item in this chapter, with its date, status and link.
DateItemStatusLinks
A Graduate Teacher from the first termCompleted
Problem classes in Financial MathematicsCompleted
Group projects in Mathematical and Data Modelling 3Completed
Running the teaching the AI-native wayOngoing
Marking for Data Science Methods and PracticeCompleted
Debugging the lab kits for Principles of Physical ModellingCompleted
AI and data-science project workshops for business studentsCompleted
2026–27: thirteen roles across three schoolsOngoing
‘The Confident Assistant’: an AI-literacy escape roomConcept
Second marker for MSc dissertationsCompleted
An offline, bilingual teaching libraryLive
The first R lab of the new yearCompleted
The first Linear Algebra tutorialCompleted