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
Learning to Notice in Order to Act Freshly (Ghana zoom June 2023)
TALMO session on Open-Book On-Line Assessment
ATM CPD short videos for teachers: Attention and Noticing; Tracking Arithmetic
ATM Presentation 2010: Being Mathematical With and In Front Of Learners
TALMO session on Open-Book On-Line Assessment
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
2024
2023
2020
2018
2017
• 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
- What is the Problem with Teaching Problem Solving? (MEM Symposium on Problem Solving Plenary: Colombia Jan): PPT
- M500 WW (Milton Keynes Jan) Attention when Doing, Learning and Teaching Mathematics PPT
2023
- Ghanaian Variation: invariance in the midst of change variation_webinar__6.pptx
- Remembering Maxim Bruckheimer & Where Is Your Attention When Discussing Examples with Learners? (Weizmann Institute Sep) maxim_memories.docx; PPT; PPT with Video
- Flipping Classrooms & Migrating Ways of Working (Swansea July) PPT with animations (for access to applets, please get in touch with me John.mason @ open.ac.uk)
- Learning to Notice in Order to Act Freshly (Ghana June) PPT Recording of the session
- 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
- 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
- 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
- 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 (& Pedagogical) 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
- 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 for 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);
- 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
• 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): What, when and where is Mathematics? PPT; Rational Polynomial Graphs Applet
- PGCE (Oxford: April): On Being Professional Mathematically as a Teacher: PPT; Applets
- ATM workshop with Anne Watson (March) Moiré and More. revised Applet
- ATM opening Plenary (March): Being Mathematical With and In-Front-Of Learners; PPT; Applets
- 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