Welcome to the WJETT blog
What is WJETT?
The WJETT blog or Warwick Journal of Education - Transforming Teaching blog is designed to encourage staff and students to disseminate good practice and to engage with their peers on academic cultural critique or areas of research that they find interesting. With the increased focus on ‘teachers as researchers’ in the sector, many qualified teachers are expected to publish the outcomes of any action research projects they undertake. The WJETT blog can be the first step on your journey towards publishing and enables you to experience publishing and reviewing in a friendly and supportive environment.
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Can’t do maths? Try Fermi problems instead!
I talk to Jean - an intelligent, articulate Glaswegian who left school with no qualifications - over the internet. I told her about my essay on re-engaging students who are “switched off” to maths.
“I can’t do maths.”
“Perhaps you could if you were taught using Fermi problems.” Being keen to try this approach, advocated by some of the literature, I told her how Enrico Fermi solved problems such as “how many piano tuners are there in Chicago?” without any data, using his knowledge to supply defensible estimates.
“I don’t care about piano tuners in Chicago.”
“Fermi problems can be about anything,” I said. “The teacher should choose a problem which is meaningful to their students.”
“How?”
“You’re interested in cycling, so … how long would the averagely fit person take to cycle from Land’s End to John o’ Groats?”
“I don’t know. Two weeks? Three weeks?” Jean was engaging with the problem, but she was guessing. She needed some scaffolding.
“Don’t guess: use your knowledge. How many hours a day will they spend in the saddle?”
“Eight.” This sounded too high but I didn’t want to discourage her, so I said nothing.
“What will their average speed be?”
“40 mph.”
No way! That’s the speed of a world champion, not the averagely fit person. I challenged it, and after discussion Jean settled for 15mph.
“How many miles will they cover each day, riding at 15 mph for 8 hours?”
“120” was Jean’s instant response: she was “doing maths” without even realising it!
“What’s the distance from Land’s End to John o’ Groats?”
“I don’t know. About 1,000 miles?”
The actual answer is 874. I would have accepted 1,000 as an estimate, but she had guessed. You mustn’t guess when solving Fermi problems.
“Don’t guess. How can you estimate it?”
“I don’t know.” Jean was slipping into “maths lethargy”, but I was not going to let her give up.
“Suppose I tell you there’s a sign outside King’s Cross saying Edinburgh 401 miles? So London to Edinburgh is about 400 miles.”
“1,000 miles is two and a half times that.” Jean was re-engaging, and we were back in the hunt!
“Think about the map of Britain. Is Land’s End to John o’ Groats two and a half times London to Edinburgh?”
A pause, then: “Yes, it’s about that.”
“Good. So you can defend your figure. How many days will it take to cycle 1,000 miles at 120 miles a day?”
“Eight.”
“What’s 8 times 120?”
“960. Oh! So nine.”
“Is that your answer? Nine days?”
“Yes,” said Jean. Then, “No! Some days they might not do 120 because of punctures, or hills. So, ten.”
“Is that your final answer?”
“Yes.”
“Are all your numbers defensible?”
“Yes.”
“OK. Let’s check it.”
I consulted Wikipedia. Land’s End to John o’ Groats cyclists normally take 10 - 14 days. Jean’s sense of accomplishment when I shared the link was palpable: she had just solved a Fermi problem and absolutely nailed it! In doing so she had multiplied 8 by 15 and 120 by 8; divided 1,000 by 400; estimated comparative distances; and identified and applied an appropriate rule of rounding. She had “done maths”; and I intend to incorporate Fermi problems into my teaching practice.
Writing guidance
Can I write about anything in my blog post?
Yes pretty much. Academic cultural critique (Thomson and Mewburn, 2013) is always a good source of content for academic blogs. This can include (but is not limited to) comments and reflections on funding; higher education policy or academic life. You might also want to consider blogging about:
- Academic practice (Saper, 2006)
- Information and/or self-help advice
- Technical, teaching and careers advice
- Your research or practice
- How you’ve undertaken research
- The impact of research on your practice
- An area of research/practice that interests you
- Your teaching experiences/reflections
How long can my blog post be?
Each individual blog post should be no longer than 500 words. Long blocks of text are sometimes hard for readers to digest. Break up your content into shorter paragraphs, bullet points and lists whenever possible. Also include a list of keywords or tags as this makes it easier for Google to find your work.
Do I need to use citations?
No, this is a reflective piece so it does not need to include citations (but you obviously can include them if they are relevant).
Can I include links or images?
We would encourage you to include links to any articles that you have considered whilst writing your blog post. We also welcome the use of images (as long as you have permission to use them) as they can often help to illustrate a point and obviously will not be included in the word limit. Please remember this is a public site so if you want to include images of your students in your classes then you will need permission to do this.
What is the process for submitting a piece of work?
Your blog post should be emailed to A.Ball.1@warwick.ac.uk. Once the submission has been reviewed it will either be uploaded at the beginning of the next available week or sent back to you for editing if it requires amendments. You should then send the amended work to me once again and I will then upload it.