Currently the applets need
Cinderella (free download from Cinderella.de)You can then use Cinderella to save as an html file, and once opened when connected to the web, save this as a webarchive on the machine you want to use it on. This complication is due to websites not handling files in non-standard format such as .cdy) Please contact me if you have any trouble or if you want a version that will run independently on a tablet or iPad: john.mason @ open.ac.uk |

## Videos

TALMO session on Open-Book On-Line Assessment: http://talmo.uk/events.html#open-book

ATM CPD short videos for teachers: Attention and Noticing; Tracking Arithmetic

ATM Presentation 2010: Being Mathematical With and In Front Of Learners

ATM CPD short videos for teachers: Attention and Noticing; Tracking Arithmetic

ATM Presentation 2010: Being Mathematical With and In Front Of Learners

## Other references

Cambridge Maths (2020): seven questions with ... John Mason PPT

## Presentations

**2023**

**Liouville Collections (sum of cubes equals square of sum)**(Combined Maths Education Conference Warwick, April) PPT**Using Tasks Richly**(BBO Hub Keynote by zoom March). PPT**School Arithmetic is to Mathematics as Making sounds is to music: some pedagogically supported transitions from arithmetic to algebra**. (Fields Institute Maths Ed Forum by zoom Jan). Notes to accompany PPT; PPT; Sundaram's Grid Applet

**2022**

**What Makes an Example Exemplary?**(New Maths Lecturers, Cambridge, Sept) PPT**Encountering Mathematical Beauty through engaging in Mathematical Thinkingand by recognising Mathematical Structure**(East Midlands Hub West; June)**.**PPT**A Mathematician’s work is never done: there is (almost) always a way to generalise**(Researches in Didacrixcs of Mathematics & Computer Science 2022, Baja Hungary; April). PPT**Whose Curriculum is it anyway? Promoting learner ownership of what is learned**. (Ark Conference; March 2022): PPT**Origins and Roots of Knowing to Act in the Moment**: (AMET-NAMA conference; March 2022): PPT

**2021**

**On the Nature and Structure of Attention in Mathematics Education**(Chile Dec) PPT, Applets: Smudge's Perimeters; Bottema's Theorem; Flask Graphs**Scaling the Heights of Scaling: a study in the nature of attention**(GRMS Montreal by video; Oct): Notes; PPTs; applet; video**Problem Posing & Problem Solving (with focus on the role of mental imagery)**(Bogota Sept): PPT; zoom recording (passcode: V0Tuj+?d)**What Makes an Example Exemplary: probing accessible example spaces**(IMA-INI New Lecturers in Mathematics; Cambridge Sept): PPT**Using Our Natural Powers to Think Mathematically**(International Mathematics Masters Sept):

Expressing Generality: PPT for §1 ; Functioning with Functions: PPT for §2; Reasoning PPT for §3

Sundaram's grid Applet; Reasoning about Polynomials Applet**Working on Teaching: developing mathematical awareness-action, in-discipline and in-counsel**. (Trondheim Aug): PPT1, PPT2**Summing Infinite GPs: a study in shifts of attention**(Kings Maths School: KCLMS Outreach; London June): PPT**Roles for examples in Teaching and Learning Mathematics**(with Anne; Copenhagen May): PPT; Related Polygons Applets (Require Cinderella from Cinderell.de which is free)**Bringing Enquiry into My Classroom**(Platinum Project May): PPT part 1; part 2; part 3; (see also Linear algebra Applets); recordings of sessions**Imagine That!: exploiting a natural power in the classroom**(Ark Maths Mastery April): PPT**Striking a Chord**(ATM session Apr): PPT; Some Striking a Chord Applets (zipped; ask me for help in using them!)**Actions on Graphs**(ATM session Apr): PPT; Actions on Chords Applet (zipped; ask me for help in using it)

**2020**

**Open Book On Line Assessment in Mathematics**(TALMO workshop Sept): PPT; Responses to Questions; Tube video https://youtu.be/ZyCDf4jK8D4; Zoom Video http://talmo.uk/events.html#open-book**Tilted & Balanced Reasoning**: (Oxford Dept of Edn; May): PPT; Zoom Recording**Mathematical Tasks: what, when, why and how?**(Lampton School Feb): PPT**Effective Use of Examples in Mathematics**Loughborough Feb): PPT; applets available on request**Mathematics of Balance**(Maths Mastery Feb): PPT; Applet (needs only javascript)**Finding, Developing and Exploiting Opportunities for Exploration in Mathematics****Platinum Project Presentation**(Jan Loughborough): PPT; Animations

**2019**

**Thinking Mathematically**(1st of 4 Sessions, Nottingham Nov): PPT**Some Psychology of Mathematics Education**(Oxford UG N1A §3): PPT**Mathematics as a Human Endeavour**(Oxford UG N1A §2): PPT (for applets, contact me as above)**Pedagogical Actions to promote mathematical meaning-making**(MatRIC Bergen Oct): PPT; Applets**Role of Phenomena & Examples in Making Meaning in Mathematics (**MatRIC Bergen Oct**): PPT; Applets**(Cinderella versions)**Thinkers: the Role of Generalising in Learning Mathematics**(ATM Workshop based on the book; London) PPT**Working Mathematically with Students, with Colleagues, and with Yourself**(Oxford PGCE): PPTA; PPTB**What is the a problem in Mathematics?**(with Anne Watson; Edinburgh ATM March): PPT**Creativity Panel**(Oxford PGCE Feb): PPT**"Lots of****Numbers"**(Maths Mastery Conference Feb): PPT (for both Primary & Secondary sessions); Apps (unzip folder; only the two .js files and the html files are needed but must be kept together)

**2018**

**Researching from the Inside: confessions of a lifelong phenomenologist**(Charles University, Prague: Nov). PPT**(Some) Psychology of Mathematics Education**(Oxford UG N1A §3): PPT**Mathematics as a Human Endeavour**(Oxford UG N1A §2): PPT (for applets, contact me as above)**Opportunities to Generalise**(Reading ATM, Oct): PPT (for applets, contact me as above)**Exeter Variation**(South West Mathematics PD Providers Conference Exeter Sept; with Anne Watson): PPT**Numbers of Formats of Numbers**(Exeter ATM Sept): PPT**Preparing for Problem Solving****by Thinking Mathematically**(Glasgow ATM June, with Anne Watson)): PPT (note that internal PPT links won't work); Mathematical Actions from Whiteboard: Pics**Multiplication and Commutativity**(Cambridge May): PPT**Working Mathematically with Students**(Oxford PGCE May): PPT Part A; PPT Part B; PPT PartC; Calleja Spirals**Fixed Angle Animations**(BCME April): Folder (no notes as yet : contact me if you need help)- with AnneW:
**Variation/Master: Pupils' experience**(Edge Hill Birmingham Mar): PPT; **Elastic Multiplication**(Lampton School Hounslow Mar): PPT; applet: (NB this applet only runs from Cinderella: see note above); Elastic Multiplication Notes; Elastic Multiplication Commentary**What Makes Examples Exemplary in Mathematics?**(Dundee Maths Dept Feb): PPT

**2017**

**Pre-parative and Post-parative Play as Key Components of Problem Solving** (Punta Arenas Nov): PPT**Reasoning Reasonably in Mathematics**(Primary Teachers Punta Arenas, Chile; Nov): PPT(partly Spanish) PPT (English)**Developing Thinking in Geometry**(back-up for an Open University tutorial; Nov): PPT**(Some) Psychology of Teaching & Learning Mathematics**(Oxford Undergrads Oct): PPT**Nature of Mathematics as a Human Endeavour**(Oxford Undergrads Oct): PPT**Variations on Variation**(London Maths Hubs Oct): PPT;

Workshops on**Elastic Multiplication**(see Scaling New Heights of Multiplication)

and on**Reasoning Reasonably (secondary):**PPT

For applets go to Applets or else contact me**Reasoning Masterfully in Primary School Mathematics**(Babcock, London Oct): PPT**Scaling New Heights of Multiplication**(Birmingham ATM Oct): PPT**Mathematical Powers**(Rathfern Primary School Sept): PPT; for applets go to Numberline Applets and applets Fractions & Decimals**What Makes Examples Exemplary?**(Jinan session, BirminghamIngham July): test PPT;**Variation not Simply Variety**(Glow Maths @ Balcaras Hub; June Gloucestershire): PPT.**Nurturing Mathematical Thinking: making use of learners' natural powers**(Jurassic Hub June Taunton): PPT**Mastering Mastery Teaching in Primary**(Schools Direct; June Ipswich): PPT;- (with Anne Watson)
**What can Vary and What Stays the Same: insights into Mathematics Teaching Methods Using Variation**(Mast 8 Edge Hill University June): PPT; Multiplicative Reasoning App; Path Length App (these apps have html files that should open in a browser) **Teaching More by Teaching Less: making use of learners natural powers**(PIMS Talk Vancouver May): PPT**Consequences of Differences in How Teachers & Learners are Attending**(IDEAS Workshop; Calgary; May): PPT**Effective Use of Examples and Case-studies in Teaching and Learning (Mathematics)**(IDEAS conference; Calgary; May): PPT**Working Mathematically**(Oxford PGCE; April): PPT; Calleja Spiral**Algebra in the Upper Years**(Roedean school, Johannesburg, April): PPT; for applets, look under applets on this site**Reasoning about Numbers**(St. Marylebone Hub March): PPT; Follow-up Task Notes; Applets (see applets)**Thinking Mathematically**(Shropshire Teacher Conference, March): PPT; applets to come**Mathematical (& P****edagogical) Literacy**(NAMA March)**:**PPT; Number Line Reasoning; Queue Reasoning; Ride & Tie**From Worked examples to Student Attention via Key Ideas, Core Awarenesses and Variation**(Open University: Feb): PPT; Linear Mapping Applet; Change of Basis Applet; Ride & Tie**A role for attention in analysing of data in mathematics education**(YERME workshop Jan): PPT; Followup Notes**Mastery & Variation in Mathematics**(Rathfern Primary School Jan): Fraction Displays applet; Numberline Zoom applet**Mastery & Variation in Mathematics**(Benfleet Secondary School Jan): Materials – Ppt slides with additional comments on Issues discussed, and applets as one zipped file

**2016**

**Task Design Using Variation & Variation Pedagogy**(London ATM-MA meeting Dec): see Joint Presentations**Variation-Pedagogy: some lessons learned from Shanghai about the importance of teacher and student attention**(Bremen seminar Nov): PPT; Applets**Pedagogic Mathematics & Mathematical Pedagogy**(Hanse-Kolloquium zur Hochschuldidaktik der Mathematic; Münster) (November): PPT; Applets**Nature of Mathematics as a Human Endeavour**(Oxford Undergraduate session 2) (October): PPT; Applets**Developing the Inner Explorer in Shape & Space (Tønsberg Norway) (September):**PPT; Tower Cards; Grid Towers Applet**Doing, Teaching & Learning Mathematics: developing the inner explorer**(with Anne Watson) (Tønsberg Norway) (September): PPT**What Makes Examples Exemplary for Students of Mathematics?**(HEA Greenwich; Sept): PPT**Developing Learners’ Undoubted Powers to Think Mathematically**(Rathfern Primary School;Sept) PPT; Queuing Applets; Set Ratios; Covered Up Sums**Reaching for Mastery: achievement f****or all**(Meeting the challenge for change in mathematics education; Kent & Medway Maths Hub July**): PPT; Applets****Mathematical Pedagogy & Pedagogical Mathematics**(Phoenix April)**:**PPT**;**Applets**Rectangle Removal and Rectangle Building**(MA workshop April): Hand outs; Applet**Classifying Shapes by their Signature**(ATM workshop March): Handout**with Anne: Mastery & Variation**(NCETM Kibworth Grammar School) PPT; Applets; MT paper on Variation (2007)

**Reasoning Masterfully in Mathematics**(Affinity Leics March) PPT;**When Counting Counts**PPT; Applets**Making Use of Children's Undoubted Powers**(Maths Mastery, London Feb): PPTs (revised Feb 2nd); First Draft Applets**Seminar on Noticing**(Sheffield Jan) : PPTs**National Symposium on Mastery**(Lasalle Edn; Nottingham**):**PPT**;**Applets**(no notes provided so email me for assistance in using them!)****ICMI-13 TSG10 Panel presentation****How Early is Too Early for Algebraic Thinking?**Paper (docx) ; PPT**nRiCH**(Cambridge Jan 6) Discussions: Situations Vacant (New);

**2015**

- Dec
**PGCE Geometry at Kings**: PPT; Applets (revised Dec 8) - Dec KDHM Conference (Hannover):
**Pedagogic Mathematics for Student Exploration of Threshold Concepts**

PPT; Current Applet; Applet Notes - Nov ATM-MA Branch Meeting (Leicester)
**Teaching More by Teaching: Getting learners to make use of their natural powers**: PPT; Sharing Out Applet; Starter tasks; Situations Vacant PPT ; Perimeter & Area PPT; Perimeter & Area Tasks; Draft paper on Generalising - Undergraduate lectures (Oxford):
- Oct ATM Branch Meeting (London)
**Teaching More by Teaching: Getting learners to make use of their natural powers**: PPT; Starter tasks; Situations Vacant PPT; Perimeter & Area PPT; Perimeter & Area Tasks; Draft paper on Generalising

**Using Mathematical Structure**

**to Inform Pedagogy:**PPT

• NZAMT (Auckland NZ):

**Being Rational about Fractions**: PPT

• NZAMT (Auckland NZ):

**Getting to Grips with Polynomials**: Applets

• Whakaarohia te Pāngarau (Hamilton NZ):

**Being Mathematical With and In Front of Learners**:

**PPT + Applets**

• IMA Mathematics Education Conference (Glasgow):

**Crossing Thresholds:**PPT

- Dutch Mathematical Congress (Leiden: April):
? PPT; Rational Polynomial Graphs Applet*What, when and where is Mathematics* - PGCE (Oxford: April):
: PPT; Applets*On Being Professional Mathematically as a Teacher* - ATM workshop with Anne Watson (March)
. revised Applet**Moiré and More**

- ATM opening Plenary (March):
; PPT; Applets*Being Mathematical With and In-Front-Of Learners*

**2014**

- PGCE (Oxford, Dec): Cobwebs; Rational Polys

- Vancouver problems (SFU Nov): PPT (Current Favourite Things)
- Edmonton Seminars (Nov): Attention & Noticing PPT; Number Necklaces; Secret Places;
- Killam Lecture (University of Calgary Nov): PPT; Applets
- MCATA Conference (Calgary Oct): Exchange & Trading: PPT + Applets
- Werklund School of Education, University of Calgary.

EDC354 Fractions: PPT; Fraction Applet; Elastic Multn Applet

STEM lecture Oct 8: PPT - MMU STEM Conference with Anne Watson (July): PPT; Resources (including applet)
- Prince's Teaching Institute (Haringay; July) Algebra & Algebraic facility: PPT; applets; Worksheets
- MMRE with Anne Watson (Moscow, Idaho); June: 5 sessions on algebraic thinking
- ProMath (Helsinki May): On Being Stuck PPT; Draft Paper
- Princes Teaching Institute with Anne Watson (Birmingam, London, Manchester; Mar) Coordinates & Functions PPT, applets: AlgeDog, Predict The Graph, Cobwebs, Cubic Chords
- SEMAT (Denmark, March): Reasoning Reasonably; Expressing Generality; Applets; see also SVG grids; Background Theories and Frameworks
- Book Launch: The Mathematics Teacher in the Digital Era (Springer) (Knowledge Lab, London Feb 18. Two Applets introducing Lagrange Polynomials
- Generalisation (Oxford PGCE Feb 2014): PPT, applets, including some not used in the session but highly pertinent: Altitudinal Squares; Current Grids (see also SVGrids); Patterns from 2; Rolling Polygons; Sundaram Full; Tunja Paper; Varied Multiplictions
- Discovering Different Ways to Attend: a case study in the use of the Discipline of Noticing in order to enrich professional Development (Matematikbiennalen Ume Jan); PPT
- Reasoning Reasonably (Matematikbiennalen Ume Jan): PPT; Revealing Shapes; Perimeter Projections; MagicSquareReasoning
- Panel on Researcher responsibilities (MADIF9 Ume Jan) PPT;
- (MADIF9 Ume Jan) PPT; Paper