John Gunn, RS Teacher at WHS, reviews Fintan O’Regan’s article about ADHD learners. O’Regan is a leading author and behaviour and learning specialist in the UK

O’Regan’s article ‘DEAR MR O’REGAN…PLEASE FIND MY LAUNDRY ENCLOSED’ focuses on children with ASD and ADHD during Coronavirus lockdown when schools were closed. He notes that, “for many families, weekends and holidays supporting children with conditions such as ASD or ADHD can be very stressful so this unexpected and unplanned extended period of time [Covid lockdown] may appear extremely daunting.”

He recollects a previous experience of a mother helping her son with ADHD complete some science homework, which took four hours to complete rather than the expected 20 minutes. She attached a note to her child’s teacher saying she was “enclosing her laundry” – presumably in recompense for the time she took helping with the Science homework! O’Regan states that, “…no amount of positive reinforcement or consequences for non-completion appeared to have any effect [for the boy].” Knowing that the child in question was “fine in class”, but “had major difficulties with organisation”, it is surprising that it took time for O’Regan to make the connection between the positives of structured learning and the negatives of unstructured learning for certain pupils.

The tips he suggests for parents read clearly, though whether they are practical is another matter. With regards to T&L for ADHD students at WHS, the article helps as a useful reminder of setting manageable tasks, allowing for breaks in between tasks, but most importantly the need for clear instructions and time allowance which all too often we may not specify clearly. There are obvious cases where pupils can manage their time well, especially with clear guidance from parents. What is possibly lacking is where such guidance is not forthcoming from staff setting work with such broad parameters.

At KS3, I’ve stopped saying ‘use your device to research’. Instead, I spend time looking at one or two websites or online documents which are not only suitable for the age group, but are easily accessible as well as useful. With clear guidance as to where to look (and indeed how to look on a particular website), how long to spend (set yourself a timer), and the limit of how much to note down and what to note down (set clear tasks and limit the space or word count), will not only help pupils with ADHD, but also pupils who do not have learning, behaviour or socialisation issues.

Teaching and learning Gem #47 – Action Research: Pedagogies to Account for Racial Diversity in English

This is the second in of our special Friday Gems focussed on Action Research. Today’s is about Lucia’s brilliant Action Research over the last two terms, which links closely to our EDI priority.

Lucia was interested in exploring Year 9 students’ perceptions of the everyday language of the diverse speaker, and how we can change our teaching to redress any value judgements students might make. The expectations of exam boards for students to use ‘standard English’ means that judgements might unconsciously be perpetuated about the way individuals speak. By using pedagogies to allow students to be able to analyse AAV (African American Vernacular), she wanted to see whether our students were able to move beyond seeing ‘non-standard’ English as ‘slang’ or as ‘less rich’. In short, Lucia’s Action Research is all about anti-racist pedagogies.

To read more about her findings, please see attached Lucia’s brilliant write-up of her Action Research below:


Teaching and learning Gem #46 – Action Research: Chain of Reasoning as a Cross-Curricular approach to Analysis

This is a special Friday Gem reporting on Holly W’s brilliant Action Research over the last two terms.

Holly wanted to explore how to improve students’ understanding of analysis across subjects. After undertaking some initial wider reading and surveying staff about the issue, she worked with teachers from different departments to establish a shared way of speaking about and teaching the skills of analysis. This is the ‘Chain of Reasoning’ approach using common steps in any discipline:  ‘identify, infer, justify, connect, review’. Teachers used this verbally to work through the process of analysis in class discussion, and used it as a prompt for students to reflect on their work. Crucially, this is a tool for fundamental understandingcutting above subject-specific models of analysis, such as PEE.

To read more about her findings, please find Holly’s brilliant write-up of her Action Research below:

Friday Gem #45 – Conversation With Yourself (mirror function on Flipgrid)

This idea comes from Suzanne in the French department, who used her lesson observation with Claire to try out a new digital technique. In the lesson, she helped students to review all the vocabulary they had learnt so far. She then built their confidence in using the mirror function in Flipgrid to record a conversation using the vocabulary for homework, with the student both asking and answering their own questions.

  • Video instructions Suzanne made for her class of how to use the mirror function in Flipgrid

The application in MFL is apparent. However, the idea of verbally asking and answering your own questions could be used in lots of other subjects, from debating different ideas, to conducting a Q&A with yourself, to putting right misperceptions about something. The metacognition built into doing this sort of thing is brilliant and the mirror function in Flipgrid could be a fun way of encouraging students to develop this sort of thought process. How could your students use it in your subject?

Year 13 German Lesson

Benefits

  • The students were creative in using the mirror function, using costumes, backgrounds etc.
  • It allowed students to verbalise ideas at home (really important for MFL, but important for all subjects).
  • It built confidence in a fun way: students were practising vocab and accuracy of pronunciation in a low stakes manner.
  • If used for students to debate with themselves, or to conduct a Q&A with themselves, then the metacognitive element is really beneficial.

Neurodiversity considerations for this activity from Isabelle and Catherine:

  • Be prepared to offer an alternative to students with social anxiety and autism.
  • Be prepared that for some students sharing publicly is very difficult.

How does mapping help to create a fictional world?

Ruby L, Deputy Head Girl, explores the significance of maps within literature, and how they help imaginatively guide both readers and writers.

Many famous literary works started off as a blank piece of paper and an idea for a fictional world. J.R.R. Tolkien produced three maps [1] and six hundred place names for his ‘Lord of the Rings’ trilogy, which became one of the bestselling series in history with over 150 million copies sold worldwide [2]. He is one of many successful authors to utilise the practice of cartography in the establishment of a fantasy land, along with Robert Louis Stevenson, who wrote ‘Treasure Island’ with the inspiration of a hand-drawn map; and C.S. Lewis, who invented Narnia. But why is this technique so popular and why does it make for more developed novels and fruitful book sales?

As Holly Lisle reveals, the process of literary map-making is an extensive and varied one. Authors generally depict a country or full land map instead of a city or street to generate a full view of the world they are creating and its geography. Once borders have been established, the addition of features such as mountain ranges, forests and cities fill the world with purpose and start to create a realistic-looking artefact. Mistakes made can also be of benefit to the plot and narrative. For example, if extra lines are drawn accidentally or a town has been placed far from any others, there is space for artistic license to make these into a story. If there is an abandoned trail it could have been deserted after a guerrilla warfare group used it in an ambush, and the isolated town could be used to excommunicate criminals as punishment in the country’s justice system [3].

But why wouldn’t the author simply write and skip this sketching? The answer is simple: this physical expression of the world inside the author’s head is invaluable when delving deeper into the story’s background. The writer can use their map to discover more about the land they have pictured, which is the main luxury of using cartography to compliment literature. Even a simple structure like the borders of the land probes into why that line was laid in that precise place. Was there dispute or war over territory? How are foreign relations between this country and its neighbour, and how does this impact the everyday lives of the citizens? Does a potential lack of security give rise to a totalitarian state in which inhabitants cannot cross the threshold to leave? Questions like these help the author to contextualise the history of the world that they are creating, which makes for a more three-dimensional setting. It helps us to understand their message in relation to their world’s history and landscape (political and social as well as physical) and in this respect, cartography is undoubtably important for the production of a fantasy world from an author’s perspective.

A hand-drawn ‘Annotated map of Middle-earth’ by British author J. R. R. Tolkien (Photo Daniel Leal-Olivias/AFP/Getty Images)

With the market for novels becoming more competitive, readers gravitate towards stories with an easily visualisable world and deeply considered, nuanced characters. Although there are many techniques which can achieve this, mapping is a simple way to produce ‘evidence’ for the fictional land to exist as they imply the realism of the author’s creation [4]. It adds another layer of credibility to the novel as we want to believe in what has been put in front of us. By human nature we are inclined to wish to read for escapism and suspension of disbelief is a huge part of what draws us into the narrative, so producing artefacts becomes very useful. This fact is what makes book sales soar for fantasy novels as they carry us away from the sometimes mundane real world. The illusion of reliability from a seemingly genuine source encourages us to engage with the text more deeply.

J.R.R. Tolkien’s work is a clear example of how mapmaking benefits both the author and reader in a fictional tale. He wrote in a letter to the novelist Naomi Mitchinson in 1954 that: ‘I wisely started with a map and made the story fit (generally with meticulous care for distances). The other way about lands one in confusions and impossibilities, and in any case, it is weary work to compose a map from a story.’ [1] Tolkien decided to come up with detailed maps depicting what would become ‘middle-earth’ and even chose to invent detailed languages and names before creating a plot. Based on his remarks, we can see that having a map before a narrative is not a defect but a delight, as successful exploration of possible characters and storylines can only come from detailed research and prior thought as to the setting. Not only was Tolkien’s cartography useful for him to devise a plot, it was widely appreciated by readers of his books worldwide. Literary critic Shippey writes that his maps are “extraordinarily useful to fantasy, weighing it down as they do with repeated implicit assurances of the existence of the things they label, and of course of their nature and history too” [1].

It is no wonder that fantasy books containing careful cartography are so popular and successful, then. They are sure to thrive as long as humans continue to need exploration and escapism.

Bibliography

[1] Tolkien’s maps. (2020, October 21). Retrieved November 12, 2020, from https://en.wikipedia.org/wiki/Tolkien’s_maps

[2] The Lord of the Rings. (2020, November 05). Retrieved November 12, 2020, from https://en.wikipedia.org/wiki/The_Lord_of_the_Rings

[3] Maps Workshop – Developing the Fictional World through Mapping. (2019, April 16). Retrieved November 12, 2020, from https://hollylisle.com/maps-workshop-developing-the-fictional-world-through-mapping/

[4] Grossman, L. (2019, October 02). Why We Feel So Compelled to Make Maps of Fictional Worlds. Retrieved November 12, 2020, from https://lithub.com/why-we-feel-so-compelled-to-make-maps-of-fictional-worlds/

Why studying English can help change the world

Miss Lucinda Gilchrist contests current political orthodoxies that devalue the study of Arts and Humanities subjects, and asserts the profound importance of English at A Level and beyond


Image Credit: https://pixabay.com/illustrations/fairy-tale-fantasy-dream-night-1077863/

The national picture

The study of English Literature and Language at A Level and at university in the UK is in decline – there has been a 23% drop in pupils taking A Level English Literature since 2017[i]. While numbers of A Level English Literature students at Wimbledon High remains robust, nonetheless there are powerful currents shaping the national context, which need to be challenged.

The political trend of steering of students towards STEM subjects has had a significant impact on the perception and take-up of English Literature, while reductions in government funding to the Arts is scuppering the effective running of departments and courses, devaluing the Arts conceptually and monetarily. This is entirely at odds with our STEAM+ agenda at WHS, which celebrates the power of interdisciplinary learning and the equal value of all subjects in our curriculum.

However, the National Association of Teachers of English (NATE) argues that the decline can also partially be attributed to neglect of the ‘big picture’ of English teaching, due to a model of literary texts as ‘cultural capital’[ii], which reductively posits literary study as developing declarative knowledge of canonical texts.

But where are students going if they aren’t studying English? Geography entries at A Level in the UK have risen by 16%, something that the Geographical Association has attributed in part to increased concerns in young people about the environment[iii]. Subjects like the Sciences and Geography are perceived to equip students with the skills and qualities they need to make an active and positive change in the world, while English and other arts subjects have been unflatteringly described by the former Secretary of State for Education, Gavin Williamson, as ‘dead-end courses that leave young people with nothing but debt’[iv].

What can we do to change this?

NATE recommends thinking about English as than ‘a means of pleasurable reflection on and participation in life’, through we can examine ourselves and the world around us. Diversifying the curriculum is one crucial example of how English can engage in and contribute to work of great cultural and social value. The English department are working hard to identify ways to decolonise the curriculum, with a new post-colonial literature unit at A Level, a new ‘Singing the Self’ Year 9 poetry unit, and the addition of texts by a diverse range of writers into the Year 8 Fiction Fest. This is not a fast process, and it’s important to avoid superficial measures, instead interrogating our own assumptions and contesting dominant narratives.

Furthermore, as Angus Fletcher argues in Wonderworks, literature is responsible for some of the greatest philosophical and psychological inventions in the history of mankind: ‘[it is] a narrative-emotional technology that helped our ancestors cope with the psychological challenges posed by human biology. It was an invention for overcoming the doubt and pain of just being us.’[v] Fletcher gives a compelling account of how writers have maximised neurological and psychological processes, using the language and structure of texts as ways into the human mind, enabling humanity to improve itself in the process.

The study of literature, therefore, is just as important a tool to make the world a better place as the Sciences and Geography. For example, as Ms Lindon has suggested, eco-poetry ‘can generate the imaginative power to help us dwell better, if we allow it to act upon us’[vi]. Fletcher comments on the power of poetic diction to help us look at the world anew: the inverted word order of ‘the flower blue’ rather than ‘the blue flower’ defamiliarizes us with something we might ignore as ‘boringly ordinary, and [inspires] us to see fresh details, fresh points of emphasis, fresh opportunities for discovery’.

What does this look like in English at WHS?

The texts explored in English at WHS offer many opportunities to examine or defamiliarize the world and summon up ‘imaginative power to help us dwell better’. For example, in studying Shakespeare, we deconstruct 16th century attitudes to issues such as gender, sexuality, wealth, race and colonialism, helping us contextualise the discourses and complexities of debates around the same topics today. At GCSE, you may read Kazuo Ishiguro’s novel Never Let Me Go and explore the pressures of being ‘normal’ through the perspective of Kathy, a clone created for organ donations, desperately trying meet social expectations for human behaviour when that same society views her as less than human. As Fletcher argues, literary forms themselves are ‘inventions’ which unlock our empathy, defamiliarize and refamiliarize, and help us understand and interact with the world and each other better.

Thus, English lessons are likely to be in equal part inspiring and challenging, especially where we need to acknowledge our own blind spots and where we have been influenced by powerful social and cultural narratives. We need to have a flexible ‘growth’ mindset about tackling complex issues and encountering literature’s transformative power over our minds. The English Department’s new mission statement articulates our aims in tackling the ‘big picture’ of learning in English head on.

The study of language and literature is the study of the human condition: how we behave, think, feel, how we respond to political and social changes. As such, in English we can expect to come across issues and themes which are complex, challenging, troubling and exciting, and which speak to society and culture today as much as they did in a text’s original context. In exploring these texts we have an opportunity to interrogate the issues which affect us in society at large, and in English lessons we agree to sit in the discomfort, pull apart these topics, searching for ways of understanding and ways to engage with the world, and developing the language to speak about what affects us. We know that these debates resist easy answers and that everyone gets things wrong sometimes, so English lessons are a mutually respectful open space to explore, develop new ways of looking at our society and culture, and finally to create and enjoy those texts which inspire us.

English may often deal in hypotheticals, imaginary worlds, or historical contexts far removed from our own, making it seem detached from the immediate problems of our world. But in fact, this very quality is why the study of literature allows us to develop frameworks and language to engage more deeply in life, and to effect meaningful change in this world and in ourselves.


[i] https://inews.co.uk/news/education/gcses-a-levels-2021-english-literature-geography-1023545

[ii] https://www.nate.org.uk/wp-content/uploads/2020/06/NATE-Post-16-position-paper.pdf

[iii] https://inews.co.uk/news/education/gcses-a-levels-2021-english-literature-geography-1023545

[iv] https://www.conservativehome.com/platform/2021/05/gavin-williamson-skills-jobs-and-freedom-my-priorities-for-this-weeks-queens-speech-and-the-year-ahead.html

[v] Fletcher, A. (2021) Wonderworks: The 25 Most Powerful Inventions in the History of Literature, New York: Simon and Schuster.

[vi] http://whs-blogs.co.uk/eco-blog/ecopoetry-can-literature-really-change-world/

Why we need plants in every classroom

Plant

In this week’s WimTeach, Miss Judith Parker, Head of Spanish, explores the positive impact of biophilic classrooms on students’ learning outcomes and wellbeing, and advocates for plants in every classroom.

A couple of years ago I decided to brighten up my classroom and office by bringing in some plants from home. Aside from the accidental watering of the inside of someone’s locker, the effects were remarkably positive. The introduction of plants not only enlivened previously drab spaces but also invigorated students and colleagues. Research studies, including a project led by one of our GDST schools, are revealing the hidden benefits of classroom plants.

Mindfulness and wellbeing

When I first brought plants into my classroom, students and colleagues expressed reverently how calm they felt upon entering the space. There are plenty of opportunities for mindful moments of appreciation with plants. We delight in the gradual unfurling of a new leaf or the surprise appearance of a new shoot. Research studies on the psychological impact of indoor plants have demonstrated that they improve mental wellbeing through suppressing the sympathetic nervous system and reducing blood pressure.[1] A study[2] on hospital patients noted the therapeutic benefit of indoor plants and recommended them as a low-cost, straightforward intervention to improve post-surgical recovery.

The benefits of biophilic classrooms

Specific studies into the impact of plants in classrooms have shown that they enhance students’ learning. ‘Biophilic’ classrooms, which are designed to connect students and teachers to nature, have a positive impact on focus and creativity. Putney High School has paved the way here with their 9-month study on the impact of biophilic classrooms.  This led to a report[3] and exhibition of their designs and findings at this year’s Chelsea Flower Show. Their project is based on ‘The Flourish Model’ which aims to facilitate creativity through a tranquil environment. We are, of course, more likely to explore and innovate when we are feeling calm and safe, rather than anxious and stressed. Plants help us to get into that comfortable state. The report also demonstrates how better air quality from plants improves students’ concentration and engagement in lessons, as well as their emotional wellbeing.

“There are no gardening mistakes, only experiments” – Janet Kilburn Phillips

Plant care offers a new learning experience. It provides the opportunity to contribute towards a shared space through teamwork. There is a collective effort and pride in managing to keep plants at the very least alive, and ideally thriving.

I brought in several plants for my new tutor group in September. In typical WHS spirit, my wonderful Year 10s immediately embraced them with enthusiasm and affection. I returned for afternoon registration that same day to find that they had already added name labels to the pots. A consultation had taken place as to their ideal placement in the form room. Plant care brings out the nurturing instinct of our students, who earnestly confer about the optimum moisture level of the soil and in what parts of the room each species might be happiest. Our form’s ‘Head Gardeners’ take on their responsibility with the utmost diligence.

When faced with imminent school closure in the first lockdown, I entrusted my leafy collection to my students. Some had enthusiastically volunteered; others simply happened to pass through the MFL corridor and found themselves unexpectedly becoming surrogate plant parents. Email updates on my beloved plants, now scattered around students’ homes across London, punctuated the long months of lockdown and school closures. One student gently broke the news to me that a particular plant, despite her efforts, alas, had not survived the challenging times.

The plants of 10JIP have recently spent the half-term break in the homes of different form members, and several students are excited to bring in their own plants from home. Some students were hesitant about looking after plants as they had no experience in doing so, which is an even better reason to put them in charge. After all, at WHS we encourage students out of their comfort zone and towards experimentation, even in the face of potential failure.

Incorporating nature into our daily lives

For those of us living and working in congested and polluted urban areas, the sad reality is that we are spending very little time interacting with nature. We all want to be eco-friendly and care for our natural environment. However, we can easily spend consecutive days exclusively indoors and without any direct contact with the natural world. We need plants in our classrooms to maintain our connection with nature.

Plants make us happier, calmer and more creative. They should be an integral part of a classroom environment. At Wimbledon High, we are fortunate already to have a committed Eco Team, Blog and Gardening Club. Let’s bring plants within reach of all teachers and learners.

Top tips for introducing plants to the classroom:

  • Start with the most resilient species, such as sansevieria (snake plant), spathiphyllum (peace lily) and chlorophytum comosum (spider plant).
  • Make sure that there is a suitable spot for your chosen species, taking into account temperature, levels of light and humidity.
  • Appoint one or two students to take the lead in plant care and establish a weekly routine of watering.
  • Invite students to bring in their own plants.

[1]Lee, M. et al. (2015) Interaction with indoor plants may reduce psychological and physiological stress by suppressing autonomic nervous system activity in young adults: a randomized crossover study. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4419447/

[2] Park, S. and Mattson, H. (2009) Ornamental indoor plants in hospital rooms enhanced health outcomes of patients recovering from surgery. https://pubmed.ncbi.nlm.nih.gov/19715461/

[3] Bowman, C. et al. (2019) The Biophilic Classroom Study. https://317307-971812-raikfcquaxqncofqfm.stackpathdns.com/wp-content/uploads/2021/03/Biophilic-report-for-website-1.pdf

The Spectrum Girl’s Survival Guide

Holly Beckwith, Head of Year 7 and Head of Politics, explores Siena Castellon’s book The Spectrum Girl’s Survival Guide. Holly says that it helped her, as a ‘neurotypical’ teacher, consider how a ‘neurodiverse’ student might view the world.

It was her chapter on mental health which I found most useful, particularly in its explanation of alexithymia, which is very common in autistic people.

The Spectrum Girl’s Survival Guide: How to Grow Up Awesome and Autistic was written by Siena Castellon when she was 16. She wrote the ‘guide’ so autistic teenage girls could read advice from another autistic teenage girl, rather than an autistic or neurotypical adult, by which she found most of the literature had been written. While teachers are not its target readership, I would argue it is an especially valuable read for us in seeking to better understand how we can support our neurodiverse students in addition to the pedagogical texts and research into cognitive science. It allowed me, as a neurotypical teacher, a view into the ways in which some of our neurodiverse students may see and experience the world differently as well as similarly to me. Reading her guide cultivated empathy that is more difficult to attain in other literature on neurodiversity.

She says of herself:

‘In many ways, I’m a typical teenage girl. I love music, binge-watching TV shows on Netflix, makeup, chocolate and my awesome dog, Rico. Yet there is one important thing about me that makes me very different from most teenage girls. I’m autistic. I’m also dyslexic and dyspraxic, and I have ADHD.’

Siena is very aware of her own individuality as well as some of the commonality she may have with others with autism and so while it is very much her own experience which is drawn upon, some typicality can be inferred. It is both these things that help us as teachers build empathy and understanding and thus enable us to alter our approach or consider how we can empower our neurodiverse students to identify strategies to cope with the school environment.

But we must be mindful that this is one person’s experience that is mostly drawn upon and at times this comes through very strongly – particularly in the passage on toxic teachers, which addresses some sad and what would have been for her, traumatic, experiences in her school years.

Siena dedicates chapters to topics such as dating, surviving school, fashion, making friends and gender identity. It was her chapter on mental health which I found most useful, particularly in its explanation of alexithymia, which is very common in autistic people and I characterised by three main difficulties:

  • Difficulties in identifying what you’re feeling
  • Difficulties in describing your feelings to others
  • Difficulties in distinguishing between your feelings and the physical sensations related to an emotional response.

Siena shares stories of misunderstandings that have arisen since her emotions rarely match her facial expressions and the time delay she can have when it comes to identifying and processing emotions and I will share one here:

‘When our social battery is fully charged, we’re at our social best. As the social battery starts to drain, our social skills deteriorate until we reach the limit of our ability to socially interact. Social interaction comes at a price. It leaves us physically and emotionally spent. The only way for us to recover is for us to have time to ourselves so that can recuperate and recharge. […] When I’m at school, I try to ration my social battery so that it lasts the entire day. [..] When my social battery drains and my anxiety reaches critical levels, my ability to function drastically deteriorates. I become a lot clumsier, less tolerant of being touched, more rigid in my thinking, less able to cope with any changes in my schedule or routine and more sensitive to lights, noise and smells.’

Siena then offers a series of strategies she has used and encourages readers to identify their own in an empowering and encouraging way. This is Siena’s achievement and purpose – to address the challenges she faces candidly while also role modelling agency and ambition.

Trouble with Maths? Maths Anxiety? or Dyscalculia?

Rebecca Brown, GDST Trust Consultant Teacher for Maths and WHS Maths teacher, reviews part of Steve Chinn’s paper on The Trouble with Maths – a practical guide to helping learners with numeracy difficulties.

Each learner needs to be understood as an individual and the teaching style and lessons adapted to suit each individual learner.

Is it Dyscalculia or Mathematical learning difficulties? However it may be described, challenges with Maths create anxiety amongst children and adults alike.

The 2017 National Numeracy booklet, ‘A New Approach to Making the UK Numerate’ stated that ‘Government statistics suggest that 49% of the working-age population of England have the numeracy level that we expect of primary school children’. This indicates that having a difficulty with maths should not automatically earn you the label ‘dyscalculic’. So what does it mean to be successful at Maths and why does it make so many people anxious?

Two key factors which aid learning are ability and attitude. Some learners just feel that they can’t do Maths. They feel helpless around Maths. Maths can create anxiety and anxiety does not facilitate learning. Ashcraft et al (1998) have shown that anxiety in Maths can impact on working memory and thus depress performance even more.

More recent research using brain scanning has found that regions in the brain associated with threat and pain are activated in some people on the anticipation of having to do mathematics.

The key question, when faced with a learner who is struggling with learning maths is, ‘Where do I begin? How far back in Maths do I go to start the intervention?’ This may be a difference between the dyscalculic and the dyslexic learner or any learner who is also bad at maths. It may be that the fundamental concepts such as place value were never truly understood, merely articulated.

None of the underlying contributing factors are truly independent. Anxiety, for example, is a consequence of many influences.

Chinn favours the definition of dyscalculia to be ‘a perseverant condition that affects the ability to acquire mathematical skills despite appropriate instruction.’

A learner’s difficulties with Maths may be exacerbated by anxiety, poor working memory, inability to use and understand symbols, and an inflexible learning style. Chinn suggests adjustments to lessons to assist difficulties in maths based on four principles:

  1. Empathetic classroom management
  2. Responsive flexibility
  3. Developmental methods
  4. Effective communication.

In short, the issue is that not every child or adulty who is failing in Mathematics is dyscalculic. Even for those who do gain this label, it does not predict an outcome or even the level of intervention but as Chinn suggests whatever teaching experiences this pupil has had, they may have not been appropriate.

Scribbles and sketches: AI, Beethoven & the learning process

In this week’s WimTeach, Dr John Parsons, Director of Sixth Form, muses over AI, Beethoven, and the learning process.

Ludwig van Beethoven died in 1827. Within days of his death, Beethoven’s first biographers were swift to recognise the seismic impact the composer had made on the musical language, style and forms of the emerging ‘Romantic’ age. They also saw him as providing a blueprint for a new kind of human creative spirit; a composer embodying not just the artist contra mundum but also the artist struggling against himself. Beethoven’s autograph scores and extant sketches show us that frustration and struggle; energised, angry scrubbing-out, playful trial and error, revisions and reworkings, rejected ideas and erratic inky marks made so quicky (‘when the spirit moves me,’ as he himself had said) that they are sometimes barely legible. Here on paper is Beethoven showing his working (as an exam-board or teacher might ask) and evidently learning as he went along. A look at the page helps us to imagine the composer (doubtless brow furrowed) very much in flow – in the moment. The layers of creative struggle and his learning process are there in black and white.

In school we learn that Beethoven wrote nine symphonies. It is easy to see the slow-to-build but ecstatic exclamation of Schiller’s Ode to Joy in the closing section of the ninth as his final statement in the symphonic form. But it wasn’t; there is a tenth – or at least scribbles and sketches for one. Beethoven, it seems, had no intention of leaving it at nine. Musicologists for the next 200 years would be left wondering ‘what if…?’ Until now.

A ground-breaking project at Harvard university has brought together musicologists and computer scientists to see if an AI computer can be taught to create music that sounds like it was made by Beethoven and thereby to complete the composer’s missing tenth symphony. Here is a machine that has been taught not only Beethoven’s entire body of work but also his creative process in order to fill in the blanks and come up with a coherent and developed piece of music.

Beethoven was an intensively motivic composer, meaning that his compositional process saw him painstakingly derive complex and copious material from tiny motifs (just think of the famous four-note da da da daaa that opens the fifth symphony and the 40 minutes of music based on it that follows). As the Harvard AI task became more complex, so the machine became cleverer and more skilled at recognising such patterns in how Beethoven had reworked his motifs. The same happens when we as learners take on and stick with the struggle of learning something new and difficult, and (as with the AI, too) over time mastery is attained. Indeed, one of the computer scientists remarked ‘the AI reminded me of an eager music student who practises every day, learns and becomes better and better.’[1] Not for the first time, then, AI shows us something of what human learning is all about.

A year or so into their work, in 2019, the Harvard team travelled to Bonn and the composer’s birthplace museum to perform some of what had been ‘composed’ by the machine for a sceptical room of historians, journalists and musicians to see if they could tell where Beethoven stops and AI takes over. They couldn’t. There will be purists who say that AI should not try to replicate the human creative process, but of course the machine is not autonomous. Rather, it must have a multi-disciplined team of experts to teach it to do its thing (STEAM+ in action).

The human learning process is one of trial and error. Scrubbings out and puzzle solving is par for the course and the process owes as much to frustration as it does to playful experimentation and repetition. As teachers we see that in the classroom every day. The most effective learners accept and embrace the struggle. Evidently, that was the same for Beethoven – the most human of composers – as it is for any of us as we go about the business of learning new things and creating our own masterpieces.

Further reading on the Harvard Beethoven project here.


[1] https://www.smithsonianmag.com/innovation/how-artificial-intelligence-completed-beethovens-unfinished-10th-symphony-180978753/