Archive for the ‘learning theory’ Category

In a recent interesting post on eltjam, Cleve Miller wrote the following

Knewton asks its publishing partners to organize their courses into a “knowledge graph” where content is mapped to an analyzable form that consists of the smallest meaningful chunks (called “concepts”), organized as prerequisites to specific learning goals. You can see here the influence of general learning theory and not SLA/ELT, but let’s not concern ourselves with nomenclature and just call their “knowledge graph” an “acquisition graph”, and call “concepts” anything else at all, say…“items”. Basically our acquisition graph could be something like the CEFR, and the items are the specifications in a completed English Profile project that detail the grammar, lexis, and functions necessary for each of the can-do’s in the CEFR. Now, even though this is a somewhat plausible scenario, it opens Knewton up to several objections, foremost the degree of granularity and linearity.

In this post, Cleve acknowledges that, for the time being, adaptive learning may be best suited to ‘certain self-study material, some online homework, and exam prep – anywhere the language is fairly defined and the content more amenable to algorithmic micro-adaptation.’ I would agree, but its value / usefulness will depend on getting the knowledge graph right.

Which knowledge graph, then? Cleve suggests that it could be something like the CEFR, but it couldn’t be the CEFR itself because it is, quite simply, too vague. This was recognized by Pearson when they developed their Global Scale of English (GSE), an instrument which, they claim, can provide ‘for more granular and detailed measurements of learners’ levels than is possible with the CEFR itself, with its limited number of wide levels’. This Global Scale of English will serve as ‘the metric underlying all Pearson English learning, teaching and assessment products’, including, therefore, the adaptive products under development.


‘As part of the GSE project, Pearson is creating an associated set of Pearson Syllabuses […]. These will help to link instructional content with assessments and to create a reference for authoring, instruction and testing.’ These syllabuses will contain grammar and vocabulary inventories which ‘will be expressed in the form of can-do statements with suggested sample exponents rather than as the prescriptive lists found in more traditional syllabuses.’ I haven’t been able to get my hands on one of these syllabuses yet: perhaps someone could help me out?

Informal feedback from writer colleagues working for Pearson suggests that, in practice, these inventories are much more prescriptive than Pearson claim, but this is hardly surprising, as the value of an inventory is precisely its more-or-less finite nature.

Until I see more, I will have to limit my observations to two documents in the public domain which are the closest we have to what might become knowledge graphs. The first of these is the British Council / EAQUALS Core Inventory for General EnglishScott Thornbury, back in 2011, very clearly set out the problems with this document and, to my knowledge, the reservations he expressed have not yet been adequately answered. To be fair, this inventory was never meant to be used as a knowledge graph: ‘It is a description, not a prescription’, wrote the author (North, 2010). But presumably a knowledge graph would look much like this, and it would have the same problems. The second place where we can find what a knowledge graph might look like is English Profile and this is mentioned by Cleve. Would English Profile work any better? Possibly not. Michael Swan’s critique of English Profile (ELTJ 68/1 January 2014 pp.89-96) asks some big questions that have yet, to my knowledge, to be answered.

Knewton’s Sally Searby has said that, for ELT, knowledge graphing needs to be ‘much more nuanced’. Her comment suggests a belief that knowledge graphing can be much more nuanced, but this is open to debate. Michael Swan quotes Prodeau, Lopez and Véronique (2012): ‘the sum of pragmatic and linguistic skills needed to achieve communicative success at each level makes it difficult, if not impossible, to find lexical and grammatical means that would characterize only one level’. He observes that ‘the problem may, in fact, simply not be soluble’.

So, what kind of knowledge graph are we likely to see? My best bet is that it would look a bit like a Headway syllabus.