Hodges' Model: Welcome to the QUAD

Hodges' Model: Welcome to the QUAD

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Wednesday, May 13, 2026

WPA/IACAPAP Global Curriculum Survey

Dear Neil et al.,

Would it be possible to recirculate this invitation to complete this ~5minute survey.

We recevied a good response (~200 with 72% expressing interest to join future steps) from the last round but we could have had more representation from Oceana, the Carribean, the Mediteranean, Central Asia, Russia, and perhaps more from any areas as emphasized in line 3 below.

Thank you in advance for your consideration, David
---------------------------------------------------------------------

Dear Colleagues, Families, Relatives, Young Adults, Adults, and Friends!

Anyone affected or who knows someone who is affect by a mental health problem.

We need your help, especially from those living in remote urban or rural areas, or otherwise underserved regions anywhere in this wide world!

HELP US DESIGN A GLOBAL CHILD AND ADOLESCENT MENTAL HEALTH, PSYCHIATRY AND ALLIED PROFESSIONS TRAINING CURRICULUM FRAMEWORK IN SUPPORT OF LOCALLY INTEGRATED COMMUNITY AND FAMILY-CENTERED EDUCATION AND ACTION.

The International Association for Child and Adolescent Psychiatry and Allied Professions (IACAPAP)

and

The World Psychiatric Association (WPA) Child and Adolescent Section are developing the Global Child and Adolescent Psychiatry and Mental Health Training curriculum FRAMEWORK.

To complete a short DESIGN feedback and ENGAGEMENT survey (~5 Minutes)

Click or Copy and Paste the following URL: https://forms.cloud.microsoft/r/x4MyX0MkYt

Here is A SHORT INFORMATIONAL VIDEO: https://www.youtube.com/shorts/NdMRqb1LVVM

 

HIFA profile: David Cawthorpe is Adjunct Professor, Cumming School of Medicine, Department of Community Health Sciences; Adjunct Professor, Cumming School of Medicine, Department of Psychiatry | Child and Adolescent Psychiatry; and Child Health & Wellness Researcher, Alberta Children's Hospital Research Institute, Canada. 
https://profiles.ucalgary.ca/david-cawthorpe cawthordATucalgary.ca

My source: HIFA.

Tuesday, May 12, 2026

Thank you – on International Nurses Day (my emphasis)

Dear Peter*

On International Nurses Day, we want to recognise the vital role that nursing professionals play in delivering safe and equitable care. ...

^There are older models too, that can help healthcare and education deal with racism, inequity, inequality and AI. 

 *Not to me personally, of course - part of a mass NMC mailing on this special day.

Previously: 'safety' : 'lifelong' : 'model' : 'nurse' : 'values' : 'racism'

Monday, May 11, 2026

BCS Third Faculty of Health and Care Conference 2026 - London 30th June

Overview

Join us for an exciting and informative day with a mix of keynotes, debates, panels, and practical workshops.

Speakers

Please visit the Faculty of Health and Care Conference 2026 web page for a list of our speakers and speaker biographies.

Synopsis

Please join our third annual conference featuring keynote addresses, panel sessions, scientific abstracts and posters, and practical workshops.

Our theme this year is 'Collaborate, Learn and Professionalise'.

Hear from national and international speakers in a CPD awarded programme.

Join us after the event for networking in an informal drinks reception.

Further details are available here:

Faculty of Health and Care: Conferences | BCS and Faculty of Health and Care Conference 2026 | BCS.

Ticket costs

(Prices stated are inclusive of VAT and fees)

  • Venue Attendance - BCS Members - £25
  • Venue Attendance - Non-BCS Members - £35
  • Online Attendance - BCS Members - £12
  • Online Attendance - Non-BCS Members - £15

Refunds/cancellations

A refund, excluding fees, will be issued if a cancellation request is received within 14 days of the booking date or by noon on Tuesday 16th June 2026, otherwise, name substitutions will be allowed after this date.

Our events are for adults aged 16 years and over.

This meeting is conducted in accordance with the BCS Code of Conduct for Meetings.

Join BCS today

If you are attending in person, please familiarise yourself with the Visitor Instructions for the BCS London Office.

Please note, if you have any accessibility needs, please let us know via 
groups AT bcs.uk and we’ll work with you to make suitable arrangements.

This event is brought to you by:

Faculty of Health and Care | BCS

n.b. I hope to attend in-person. PJ

Sunday, May 10, 2026

Final Call December AI-2026: Cambridge, UK :: June: Virtual seminar on 'A Future with AI Agents'

FINAL CALL FOR PAPERS AND POSTERS

The proceedings of the AI-20xx conference series are now published by Springer in Lecture Notes in Artificial Intelligence (LNAI), a sub-series of the distinguished Lecture Notes in Computer Science (LNCS) series of conference proceedings.

AI-2026: Cambridge, UK, December 15th-17th 2026

Organised by BCS SGAI: The British Computer Society Specialist Group on Artificial Intelligence (a EurAi Member Society).The leading series of UK-based international conferences on Artificial Intelligence and one of the longest running AI conference series in Europe.

CALL FOR CONTRIBUTIONS

AI-2026 is the forty-sixth SGAI International Conference on Innovative Techniques and Applications of Artificial Intelligence. The scope of the conference comprises the whole range of AI technologies and application areas. AI-2026 reviews recent technical advances in AI technologies and shows how these advances have been applied to solve business problems. Key features are:
  • Papers will be published by Springer in the Lecture Notes in Artificial Intelligence (LNAI) subseries of the popular Lecture Notes in Computer Science (LNCS) series (
  • Papers are invited in two streams. The Technical Stream presents the best of recent developments in AI, covering a wide range of technical areas. The Application Stream is the largest annual showcase in Europe of real applications using AI technology.
  • It is expected that the best papers will be reprinted in expanded form in an international journal.
  • A mixture of full papers (maximum 14 A4 pages) presented orally and short papers (maximum 6 A4 pages) presented as posters. Papers of both kinds will be included in the proceedings.
  • Prizes for best paper and best student paper in each stream and best presented short/poster paper.
  • Invited keynote lectures.
  • The first day comprises tutorials and workshops to provide greater depth in selected topics. (Separate one-day registration for this day is also available.
  • A panel session or a debate on a topical subject.
  • An 'AI Open Mic' session to allow delegates to have their say about any aspect of AI.
  • In addition to the formal sessions, the conference programme includes a welcome reception and a Gala Dinner.
AI-2026 offers a valuable opportunity to keep up to date with developments in AI and to share experiences in the practical issues of developing AI systems.

:::: PLUS :::::

-------- Virtual Meeting seminar on A Future with AI Agents --------

The next in our series of free evening virtual seminars will be on Wednesday June 10th from 6 p.m. to 7.30 p.m. (UK time). The topic will be A Future with AI Agents.
 
Humans are becoming the minority online with bots generating almost 50% of all internet traffic. The World Economic Forum recognised that the advancement of agentic AI is obvious and the agent-driven economy is here. The global AI agents market is growing from a $5.4 billion market in 2024 to $236 billion by 2034. Come along and find out about some technical foundations of agentic systems and how to build a minimal AI agent from scratch.
 
The speakers will be

Anirban Lahiri (Arndit Ltd., Cambridge, United Kingdom) on Agentic AI: A Friend or Foe'
Dr Mercedes Arguello Casteleiro (SGAI) on 'AI Agents 101'

The virtual seminar series is free and open to all. For further details and for the zoom link to use go to https://bcs-sgai.org/seminars/2026-06-10/.
 
Details of future SGAI events will be placed on the website at https://bcs-sgai.org as they become available. To register to be sent information about future SGAI events by email go to https://www.bcs-sgai.org/register/.
 
Max Bramer
Chair, BCS SGAI
----------------------------------------------------
Chair, British Computer Society Specialist Group on Artificial Intelligence
Emeritus Professor, School of Computing, University of Portsmouth, UK
http://www.maxbramer.org
 
My source: AI-SGES list

Saturday, May 09, 2026

v WCCS26: World Conference on Complex Systems 20-22nd April

Day 2 Tuesday 21st April (Revisiting) Keynote Speaker: Abderrazak El Albani - 
Emergence of Intercellular Cooperation: At the Origins of Eukaryotic Complexity
Session Chair: Khawla Tadist

This keynote was fasacinating. As I begin this post on the 100th birthday of Sir David Attenborough, who would have us all see life in the broadest terms, value life and diverse habits, and Earth as our collective and shared home.

Abderrazak El Albani explained the search for LUCA the last universal common ancestor - 3.8 billion years ago. Many dates in the emergence story of humanity, have been progressively pushed back. The first fire, art, languages, our co-habitation and intimate relationships with Neanderthals.

In healthcare, as a practitioner you have to be aware of your scope of practice. At WCCS, scale (as in iv) was ever present across research in complexity, and complex systems. Not just physical size nano-to-mega but temporal too, as we journeyed billions of years. Several of the slides are presented here:

https://www.synchrotron-soleil.fr/en/news/discovery-oldest-macroscopic-planktonic-eukaryotes-contribution-nanoscopium-beamline (with a reference).

There is a video (French): https://www.youtube.com/watch?v=bh3t26cU7xc

I asked a question, which may have been psychological preparation for own presentation to follow. Listening, I could see how the work Abderrazak El Albani and his team are doing, could be readily translated to the search for life on Mars. There has been a 'routine' interchange of planetary material between Earth and Mars over the aeons. Fitting surely that the sedimentary rocks sought lie in  A key lesson, is that light helps us see, but not all lights are equal. Light sources brighter than the sun become incredible scientific instruments. The longevity of the dinosaurs was highlighted, at least 140 million years. There is no comparison with homo sapiens then, even as those dates have been pushed further back in time. Time defeated me as I tried to make the observation that even the dinosaurs did not make it to their first galactic birthday (c.250 million years - and what a carousel). I like the thought (slide) of 'Earth as Memory'. 

What really counted was the expressed concern about what is happening now: in the Anthropocene.

The second keynote:
Nigel Gilbert - Policy in a Complex World: Towards Complexity-Aware Policymaking
Session Chair: Ali Idri 

Was helpful to me, as the dated conundrum of benefits realisation from our technologies, and evidence-based policy still leaves a gap (for me) within the POLITICAL care/knowledge domain of Hodges' model. The illustration/graphic elements of Prof. Gilbert's slides were a brilliant complement to the content:

Prof. Nigel Gilbert - WCCS26 21st April

I wonder if within policy the constant in the equation is continuity and as a quantity it is an unknown? This seems to the case in health policy, across successive governments. You may (also) find this chart informative: https://www.cecan.ac.uk/news/the-visual-representation-of-complexity/

Perhaps, a key factor in complexity is the fact that nothing stays the same, so continuity is nuanced? Michael Quinn Patton's book Developmental Evaluation was noted re. learning while doing. Now I wish I'd held on to Qualitative Research & Evaluation Methods (4th ed.). The discussion of 'obesity system map' and 'whole systems analysis' was appreciated here.*

Since Marrakech and WCCS, I've noticed acknowledgement in the literature that 'research' is currently flooded with AI tools. I'm sure PRSM Participatory System Mapper is a welcome addition, (as noted in iv) tools to facilitate participation are much needed:

Collaborative Creativity

The Participatory System Mapper (PRSM) is an app that makes it easy to draw networks (or 'maps') of systems, working together collaboratively.'

I will definitely check this resource out; and CECAN. After Prof. Gilbert, the next Track included my contribution, which I will return to. Rather distracted, I have a somewhat blurred slide, with: 'The global tensor of educational research is' then headed 'Learning poverty. Being unable to read and understsand a simple text; with points 1-4.'. I'm not sure which presentation this was, but zeroed in on the literacy theme, and the word tensor. Another slide refers to '6. Topological substitution for Success'. I think it is (writing this is helping recall!):

Harvey Spencer Sánchez-Restrepo, Jorge Louçã, Martha Belén Carmona-Soto and Sofialeticia Morales-Garza
Topological Patterns of Academic Success: Insights from Complex Network Analysis

'Always Label Your Axes' - Zazzle.

Before that there was another model, as the next keynote speaker: Chris Bauch demonstrated during the conference wearing a t-shirt:

Critical Transitions in Coupled Human-and-Natural Systems and their Early Warning Signals
Session Chair: Mohamed Essaaidi  

Previously: 'nexus'


*Jones P, Wirnitzer K. Hodges’ model: the Sustainable Development Goals and public health – universal health coverage demands a universal framework. BMJ Nutrition, Prevention & Health 2022;5: doi:10.1136/bmjnph-2021-000254

Wirnitzer, KC. et al. (2025) Toward a roadmap for addressing today's health dilemma – The 101-statement consensus report. Frontiers in Nutrition. Volume 12.
https://frontiersin.org/journals/nutrition/articles/10.3389/fnut.2025.1676080 DOI:10.3389/fnut.2025.1676080

S. Bettiol, P. Jones, H. A. Onyedikachi, and W. G. Kernohan, (2026) Bridging Gaps in Oral Health Frameworks: Mapping With Hodges' Health Career - Care Domains - Model, Journal of Public Health Dentistry. 1–14, https://doi.org/10.1111/jphd.70034

Friday, May 08, 2026

iv WCCS26: World Conference on Complex Systems 20-22nd April

Day 1: Panel 2 - Rethinking Knowledge in the Age of Complexity

  • Helena Knyazeva - Dancing with Complexity: How the World Thinks Through Us
  • Carlos Gershenson - The Implications of Complexity
  • Leonardo Rodríguez Zoya - Can Statistics Think? Complexity, Future, and Freedom in the Age of Large Language Models
    Panel Chair: Nigel Gilbert 

Courage is one of the 6Cs in nursing, and was on display at WCCS26.

Carlos Gershon began by offering two references, the first:

De Domenico, et al., (2019). Complexity explained: A grassroot collaborative initiative to create a set of essential concepts of complex systems. https://complexityexplained.github.io

This is a brief 20 pages, larger text, and provides a helpful primer to complexity and related concepts covering:

Interactions
Emergence 
Dynamics 
Self-organization
Adaptation
Interdisciplinarity
Methods

For each concept, the authors explain:

Definition/Description
Examples
Relevant Concepts
References

Plus, secondly:

Gershenson, C. The Implications of Interactions for Science and Philosophy. Found Sci 18, 781–790 (2013). https://doi.org/10.1007/s10699-012-9305-8

I liked the practical feel here, the encouragement to think anew, and perhaps taste the "flavors of emergence": synchronic - space; diachronic - time, weak and strong feedback, transversal of scale - upwards and downwards.

There is further conference on complexity later this year (and also online!):

CCS 2026:
The 2026 Conference on Complex Systems
OCTOBER 9 - 16, 2026 BINGHAMTON, NY, USA & ONLINE

In my search I also found:

Carlos Gershenson; Complexity, Artificial Life, and Artificial Intelligence. Artif Life 2025; 31 (3): 289–303. doi:https://doi.org/10.1162/artl_a_00462

Gershenson, C. Self-organizing systems: what, how, and why?. npj Complex 2, 10 (2025). https://doi.org/10.1038/s44260-025-00031-5

Leonardo Rodríguez Zoya's presentation helpfully connected social practice, interdisciplinary bridges, statistical rationality, complex (human) rationality and the future(s): desirable, possible, latent and probable.

individual
|
INTERPERSONAL : SCIENCES
humanistic ------------------------------- mechanistic
SOCIOLOGY : POLITICAL
|
group
COMPLEX (HUMAN) RATIONALITY
 
cognition

STATISTICAL RATIONALITY
Techopraxis
LLMs - technology

socio-
HUMAN PROBLEMS
SOCIAL PRACTICE
PRACTICE (one of the 4Ps)

ELECTION - CAMPAIGN SPENDING
PEACE NEGOTIATIONS
ISLAND ECONOMY
CRYPTOCURRENCY

To answer the prompt - 

"Give me a less likely but more fruitful interpretation of this [concept]*."

*Replace with a significant concept in your practice

Would it might help to have a simple, and yet complexity (and simplicity!) primed conceptual framework to assist reflection, argumentation, and progress?
 
I missed the poster at the afternoon break, and followed track 1. I greatly enjoyed Julian Arevalo's - Adaptive Readiness: an Agent-Based Model of Peace Negotiations. Perhaps this accounts for my having no notes or photos for this track except for one. I realise now we did speak, sitting together for the conference dinner. I'm sure I remember Negotiation Lab 1.0 - 

https://www.comses.net/codebases/1256dc74-9ae4-4f49-a235-1ec129be1930/releases/1.0.0/
 
This past week I heard discussion (BBC Radio 4) of the 'income' Norway obtains from its expertise and engagement in peace negotiations.
 
Nicholas Roxburgh, and colleagues Rachel Creaney, Mindi Premarathne and Ruth Wilson through 
Exploring Interdependencies in an Island Economy, reminded me of public engagement in research. Especially when it involves their community; and that community is somewhat rural, or remote.
 
Remah Dahdoul, with Jan Korbel and Stefan Thurner presented -
Campaign-Spending Driven Polarization Transition in a Double-Random Field Model of Elections. The following paper brings home the mathematics in complex systems. The reference is:
 
Jan Korbel and Remah Dahdoul and Stefan Thurner. (2026) Empirical validation of the polarization transition in a double-random field model of elections. arXiv. https://arxiv.org/abs/2510.00612.  doi.org/10.1103/9gjj-1df6.
 
The paper by Saida Hachimi El Idrissi and Mohamed Nemiche is not open access, but the abstract follows. 
 
S. H. El Idrissi and M. Nemiche, "Formation of Complex Societies: An Agent-Based Model Inspired by Freudian Theory," 2024 World Conference on Complex Systems (WCCS), Mohammedia, Morocco, 2024, pp.1-6, doi: 10.1109/WCCS62745.2024.10765573.
Abstract: The rise and emergence of complex societies in the Old World mark a pivotal chapter in human history, characterized by the transition from small, kin-based communities to large, hierarchical states. This transformation raises fundamental questions: How did human societies progress from small, cohesive groups characterized by face-to-face cooperation to the expansive, anonymous societies of today, often organized as states? What factors account for the significant variation in different human populations' capacity to construct stable and functional state structures? To address these questions, we developed an agent-based model grounded in Freud's hypothesis, which posits that civilization could neither emerge nor evolve without the repression of human desires. In the context of social evolution, this repression of desires can be interpreted as the repression of intra-societal competition, ultimately strengthening the society and facilitating the formation of complex social structures. We implemented this model within a realistic representation of the Afroeurasian landmass, incorporating various geographical factors. To validate our model, we compared our simulated results with historical data. The model-predicted pattern of expansion of complex societies demonstrated remarkable congruence with the observed historical patterns in the Old World. The emergence, growth, and distribution of large-scale societies predicted by our computational model showed remarkable consistency with the archaeological and historical record.

keywords: {Analytical models; Computational modeling; Predictive models; Data models; Agriculture; Rivers; History; Complex systems; component; Agent-based Modeling; Repression of satisfaction; cooperation; competition; Social Simulation},
URL: https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10765573&isnumber=10765499 
Unless you are a microsurgeon (increasingly with robotic co-workers), is the word practice, more likely to manifest what is larger, the big picture, a sense of space, even at a societal or continental scale? In reading, I came across four forms of attractors. For me, how they fit into the question of scale makes this paper worthy of seeking out. 

M. Nemiche was unable to attend the conference, and was greatly missed.

Thursday, May 07, 2026

Interviews, playwriting, and clinical encounters: pause for breath - Roger Lewin

It can be surprising how you know something. Something that should be obvious to you. It's your 'Bread and Butter' as the saying goes. And yet for a variety of reasons, you persist in not seeing it, or you frame it in a way that ultimately reveals a bias, influence, and may even mask several aspects of truth. It might be the influence of work over four decades plus. Sitting down, or frequently finally getting out for a walk after several weeks of nudging, in a one-to-one therapeutic context. Or, ever since secondary school, that distant performed encounter with the Crucible. And, more recently as 'Ken', a Post Office subpostmaster and his wife (a brief 10-12 mins), and over the years a desire to write dialogue.

Reviews of Roger Lewin's Complexity, vary in their conclusions about the book's quality. No surprise there, but reading the book it was a revelation to see the method: a series of interviews and the resulting dialogues. 

'In this revision of his book originally published in 1992, Roger Lewin explains what the science of complexity is all about through interviews with some of its most important practitioners (and critics) organized around some of the central ideas. As such this is both a fine introduction to the subject and an interesting read. Lewin includes 16 pages of photos of the scientists he interviewed captioned with a significant quote from each. He has added an afterword on the application of complexity science to business, and an appendix about John Holland, whom he dubs, "Mr. Emergence."

"Everything works toward an ecology" is an old dictum of mine. I have the sense that I came up with that myself, but I probably read it somewhere years ago. At any rate, what is being said here is that complex systems work toward a state of equilibrium near a transition phase, near "the edge of chaos." This equilibrium can be an ecology (Darwin's "tangled web"); indeed it can be the entire planet, as in the concept of Gaia in which "the Earth's biological and physical systems are tightly coupled in a giant homeostatic system" (quoting Stuart Kauffman on page 109).'

Source: https://www.goodreads.com/en/book/show/384547.Complexity

There's nothing profound in this post, and yet this melange of interviews, playwriting, and clinical encounters gives me pause for breath.

Previously: 'Our broken sticks' c/o Roger Lewin "Complexity: life at the edge of chaos"

Wednesday, May 06, 2026

'Anthropological Theory of the Didactic' ATD - in learning mathematics

INTRODUCTION

Several studies have discussed the specific knowledge taught and learned in precalculus, calculus, and analysis courses, from different perspectives: for example, concept image and concept definition (e.g., O’Shea, 2016), APOS theory (e.g., Martínez-Planell, Trigueros Gaisman, & Mcgee, 2016), and the Anthropological Theory of the Didactic (ATD; e.g., Bergé, 2016). Our starting point is the general and relatively vague question of when in an undergraduate degree in mathematics does a student need (need in the sense of to succeed in the course) to engage in mathematical activities that may substantially, or meaningfully, lead to developing mathematical practices. We consider and frame this question within the ATD (Chevallard, 1999), which provides theoretical tools for modelling any human activity or practice. The semantic distinction between these two words is essential to us. Our hypothesis is that the kinds of didactic constructs to which professors and students are exposed are decisive in fostering the emergence of practices out of collections of local, particular, and relatively short-lived activities. From the theoretical stance we take, this means the development of mathematical knowledge out of local, particular, and relatively short-lived mathematical activities.' p.487.

THEORETICAL FRAMEWORK 

“Activity and practice”

'As mentioned above, we have come to see the semantic difference between activity and practice as pertinent to our work. The ATD’s notion of praxeology provides a fundamental model for defining mathematical practice, which, in the context of the theory, is equated to mathematical knowledge. According to the model, any practice (or piece of knowledge) can be represented by a quadruplet [T, τ, θ, Θ] involving four interconnected components: a type of tasks T, which generates the practice, the corresponding collection of techniques τ developed to accomplish T, the discourse used to describe, justify, explain, and produce the techniques (i.e., their technologies θ), and the underlying theories Θ that serve as a foundation of the technological discourse. As students progress in their studies of mathematics, they engage in numerous activities, which progressively determine the practices they develop'. p.489.

Laura Broley and Nadia Hardy. (2018). A study of transitions in an undergraduate mathematics program. In PROCEEDINGS of INDRUM 2018 Second conference of the International Network for Didactic Research in University Mathematics. pp.487-496. ERME topic conference.
https://indrum2018.sciencesconf.org/data/Indrum2018Proceedings.pdf


THEORETICAL CONSTRUCTS 

'ATD “postulates that any activity related to the production, diffusion or acquisition of knowledge should be interpreted as an ordinary human activity, and thus proposes a general model of human activity built on the key notion of praxeology” (Bosch & Gascon, 2014). The praxeology 𝛱 is represented by a quadruple [𝑇/𝜏 /𝜃/𝛩]: its praxis part (or know-how) consists of a type of tasks 𝑇 together with a corresponding technique 𝜏 (useful to carry out the tasks 𝑡 ∈ 𝑇 in the scope of 𝜏). The logos part (or know-why) includes two levels of description and justification: the technology 𝜃, i.e. a discourse on the technique, and the theory 𝛩, which often unifies several technologies. 

The elaboration of a reference epistemological model (Florensa, Bosch, & Gascon, 2015) as sequences of praxeologies, for a given body of knowledge, is an important step in any research carried out in the ATD framework. It is the tool that will be used by the researcher to describe, analyse, put in question or design the specific contents that are at the core of a teaching and learning process. In order to build such a model, “mathematical praxeologies are described using data from the different institutions participating in the didactic transposition process, thus including historical, semiotic and sociological research, assuming the institutionalized and socially articulated nature of praxeologies” (loc. cit. p. 2637).' pp.498-499.

Charlotte Derouet, Gaetan Planchon, Thomas Hausberger, and Reinhard Hochmuth. (2018). Bridging probability and calculus: the case of continuous distributions and integrals at the secondary-tertiary transition. In PROCEEDINGS of INDRUM 2018 Second conference of the International Network for Didactic Research in University Mathematics. pp.497-506. ERME topic conference.
https://indrum2018.sciencesconf.org/data/Indrum2018Proceedings.pdf

I came across this source as I'd read about the way chemistry as a discipline co-opted some mathematical symbols, but adapted them for their own use.

Previously: 'math' : 'threshold concept' : 'liminal' : 'learning'

Tuesday, May 05, 2026

iii Picking up sticks: when axes matter

It is one thing for us to break the stick, but quite another from a concept's perspective. They are accustomed to the dynamics at work, when as search terms they are exploded, or not. And, not just any concept but one that can be unique. Consider the concept, and how or where it finds itself [ in Hodges' or another model ]? Let us use the intra-INTERPERSONAL domain, as an example, and ask:

  1. Is 'mood' fixed by the I-axis alone?
  2. Does the humanistic axis have a role in where in the doomain the user of Hodges' model places 'mood'?
  3. Acknowledging person-centredness, if the patient/client had a view, to what extent would this agree (with annonymity assured) with the professional's judgement, or a relatives / guardian?
  4. What is as a result, 'mood' has become 'very low mood'? (To continue in this vein , invites complication, but we will continue.)
  5. Introducing the 'Other' whatever their role and relationship, pushes us to the humanistic, but whether this is achieved in a person-centred manner (triage excluded) is a matter of opinion and judgement (evaluation).

If mood is fixed by the I-axis then if we determine the issue is 'low mood' are we introducing a combined quantitative and qualitative dimension, a continuum, at the selected point in the interpersonal domain? Writing previously about threshold concepts, I wondered, and proposed compound threshold concepts. There is a progression from the patient's subjective self-assessment, to in all likelihood of an objective measure being introduced, so spanning two domains. Definition of 'compound' aside; there is a compound structure at work.

What points 1-5 above reveal is triangulation. When it is argued that Hodges' model facilitates navigation as per my presentation on 21st April, this is a strategy from mixed-methods research in practice. Many years ago, Hodges' model was described as a 'cognitive periplus', reflecting the way ancient mariners initially charted the coastlines creating the first map, as per their culture and dispora. In the west more recently the value of social approaches and activities, especially in mental health. Care navigation is a role. Literally sign-posting to individually suited (which must be stressed) activities, resources, and agencies. So, in Hodges' model what are our three triangulation points? They are:

  1. Axial;
  2. Intra- InterDomain; 
  3. Person-centred. 

Perhaps, we can describe 1-2 as conceptual anchors at least when dealing with a concept, while #3 is more about approach, values and philosophy. So, there is something of a 'cheat' going on, because each one is compound:

1. Axial: The axial is comprised of four points. The axes create a Cartesian plane (figure). And, as far as a patient is concerned, they mark off a point on the respective Individual and Humanistic-Sciences parts of the axes. This form of triangulation point can claim a general conceptual precision (language) in the applied terminal labels; but what happens in-between can be patently fuzzy. A mix of what may be objective and subjective.

2. Intra- Interdomain: This may be the most imprecise triangulation point. It appears the axes of Hodges' model are composite (figure). They have two-sides as a boundary. To be pedantic, in our example, one plays to the interpersonal domain, the other the sciences.

[The relationship between the axis and the domains in Hodges' model, is far from unique; but I wonder if there is something else here?]

2. Person-Centred: There is a paradoxical nature to person-centred(ness). It is also nebulous in nature, and yet in care it is definitive in practice (safety, purposes, values, professionalism, competency, ...).  It forms locus which can also be classed as a traingulation point, at the centre of the model. This is the point around which Hodges' model is built. This captures the individual's (life, care) context and situation, all influenced by their life chances as consequent health - and other - careers. Salience and our attention^ is key. Is it possible to frame our purpose(s)?

^A focus for [N] autumn.

Marrakech, Le Jardin Secret. 24th April. 1000-1830.

Monday, May 04, 2026

iii WCCS26: World Conference on Complex Systems 20-22nd April

Chaos
Making a New Science 
by James Gleick


When I first learned of WCCS26, I saw a connection, an affinity across the conference themes. This was reinforced when I read the final program for WCCS. Here was a home for the model, a way-point for Hodges' model. For an independent scholar, it was quite a trip to Ben Guerir, to the north of Marrakech; 13 hours (brief by global standards). It was a place to wave wildly, making use of the opportunity to present Hodges' model, to say - "Dear All, can you do anything with this?".


It is almost 40 years since I read James Gleik's, Chaos: Making a New Science. That was in Cornwall I think? Now, something more than book - a complexity conference 

 After the first two keynotes - two panels: 

 Panel 1 - Complexity, Society & Global Challenges

▪ Carlos Álvarez Pereira - No Limits to Hope: Escaping from the unreasonable effectiveness of Modernity
▪ David Chavalarias - The Artificialization of Cultural Evolution: the Impact of Very Large Digital Infrastructures on Individuals and Society
▪ Louis Klein - Noospheric Singularity and the Mirror of Tamkeen
Panel Chair: Karima Kadaoui

These confirmed I was in the right place. Well, it was bit late if I wasn't! I was reminded of the slow movement, and how in healthcare, specifically client-nurse intereactions you had time to manage your time, that is your caseload to deliver person-centred care. I don't mean time-wasting, as in social chat, tea and custard creams either. This is what being professional is about, truly trying to make a difference - that lasts. So we worked through: What is; (science) what we understand; and (tech and law) what should be. Ecologically, we often refer to the size of our footprints. Panel one considered this individually and collectively - institutionally. Fascinating to reflect upon these themes and how modernity is stamping about in a rather chaotic way? We are seemingly power-less to stop this.

c/o Carlos Álvarez Pereira
No Limits to Hope: Escaping from the unreasonable effectiveness of Modernity

Three reports to the Club of Rome were displayed, spanning 'NO LIMITS TO LEARNING - Bridging the human gap' 1979; 'Limits and Beyond' 2022; 'NO LIMITS TO HOPE - Liberate the potential for Collective Learning' 2026. Should we be troubled, worried even, that the latest followed after a mere four years? There are of course, many reports as per the link above.

David Chavalarias - The Artificialization of Cultural Evolution: the Impact of Very Large Digital Infrastructures on Individuals and Society spoke about the beneficial and malign impacts of social media AI tools. Covid featured as might be expected. Within the sciences, what was worrying, was an innovation slowdown associated with AI, non-AI use, chartered around a central point (centroid). I believe the slide referred to:

Qianyue Hao & Fengli Xu & Yong Li & James Evans, 2026. "Artificial intelligence tools expand scientists’ impact but contract science’s focus," Nature, vol. 649(8099), pages 1237-1243, January. 

There was one slide:


Is this the demise of any efforts to achieve SOCIO-technical synergy? Even to the extent of realising benefits for the human in socio-technical systems? Did Covid not teach us anything about the informational difference technology can make? When so many technologies are muted by a virus? This is what we need: things to think about, question and critique. 

There used to be a series of A3 step-by-step oil painting magazines in the 1970s. One presented a desert campfire, clearly set in the east. I did try it, though not sure were the result is now. ... Such a scenario was presented by Louis Kleinand the Noospheric Singularity and the Tamkeen Process - Regenerative Hermeneutics, with the following reference provided:

Klein, L., & Kadaoui, K. (2024). Realising metamorphic transformation in the mirror of Tamkeen: Growing a shared understanding from co-reflected lived experiences. Systems Research and Behavioral Science, 41(5), 738–749. https://doi.org/10.1002/sres.3058 

There was much I could identify with. And, once again, I cannot continue at this pace. We have only covered (touched!) panel one. Hopefully you now have an idea of the depth of the conference programme. More however, will follow.

See also: thefifthelement.earth

Chaos - cover: https://www.goodreads.com/book/show/826080.Chaos