One of the big challenges of statistics education is embedding statistical literacy alongside the development of skills and techniques. Whilst it is relatively straightforward to create an environment in which students acquire and practice specific skills, studies have shown that developing statistical literacy is a slow process that requires time and repeated exposure to situations involving contextualising data.
It can be time consuming to find sources of data and visualisations that can be accessed quickly, easily and often in order to allow students repeated opportunities to consider asking questions of data and making inferences.
One resource I have discovered recently is the “Google Books Ngram Viewer” (an n-gram is a sequence of n items from a text, speech or canon – when these are words, it is also called a shingle). This website produces time series visualisations of word combinations taken from Google Books, allowing users to create charts almost instantly of how word usage has changed over time.
Of course, moving through the different levels of data interpretation is extremely important to statistical literacy: most students can “read the data” by identifying specific values and obvious patterns, but fewer are able to “read within the data” by contextualising the information shown on the graph, or even “read beyond the data” by using the information in the graph to infer additional information not displayed.
After the initial flurry of excitement for throwing ever more esoteric words and phrases at the n-gram tracker had worn off, I began to consider how this tool could be used in a classroom setting to help students develop their statistical literacy skills. There could be a lot of mileage in simply getting students to shout out words that appeal to them (be careful!) and instantly creating the graph before asking them to describe the graphical narrative: how the word usage has changed over time. As a secure starting point this will allow students to become familiar with the elements of the graph, with a fixed x-axis covering around 200 years, and a variable y-axis that scales to produce a clear image of the variation occurring. During this period the location of key milestones such as the Second World War could be established so that students can start to spot the effect of these significant historic events on language. A rich vein of exploration once students are familiar with the tool could be to suggest words and get students to predict what the graph will look like before displaying it; for instance:
• Will usage of “thou” decline over the time period?
• Will “bare” become more popular after the year 2000? (a former colleague was accused by a student of “talking bare waffle cakes” - I still have no idea what this means!).
An interesting set of graphs concerns technology use. My immediate go-to was music formats and the interesting shapes they produce. Spare a thought for the minidisk whose popularity waxed and waned in an exceptionally short period of time…
![](data:image/png;base64,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)
This is an excellent opportunity for cross-curricular work, with discussions to be had about how language changes which could be explored further by collaborating with colleagues in other departments – particularly English and History.
This tool is a satisfying rabbit hole that, once familiar, could be returned to regularly in order to give students the space to develop their statistical literacy skills without needing to invest in time-consuming activities that require lots of contextual exposition or data production. Let us know if you use the n-gram explorer in class and show us the most interesting graphs you produce!