mathematics

Roger Collingwood

Roger Collingwood is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Roger Collingwood rather than just read about it. In short: Roger Collingwood (fl. 1513) was a British mathematician. Biography Collingwood was elected a fellow of Queens' College, Cambridge, in 1497, being then B.A., and proceeded M.A. two years later.

Key takeaways

Roger Collingwood belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Roger Collingwood to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Roger Collingwood from memory before moving on to harder problems.

Reference excerpt

Roger Collingwood (fl. 1513) was a British mathematician.

Biography Collingwood was elected a fellow of Queens' College, Cambridge, in 1497, being then B.A., and proceeded M.A. two years later. He had the college title for orders on 7 August 1497, was dean of his college in 1504, and obtained a license on 16 September 1507 to travel on the continent during four years for the purpose of studying canon law. On the expiration of that term it was stipulated that he was to resign his fellowship, and his name, accordingly, disappears from the college books after 1509–10. He acted, however, as proctor of the university in 1513. Under the name of 'Carbo-in-ligno' Collingwood wrote an unfinished treatise entitled 'Arithmetica Experimentalis,' which he dedicated, in the character of a former pupil, to Richard Fox, bishop of Winchester. The manuscript is preserved in the library of Corpus Christi College, Oxford.

References This article incorporates text from a publication now in the public domain: Clerke, Agnes Mary (1887). "Collingwood, Roger". In Stephen, Leslie (ed.). Dictionary of National Biography. Vol. 11. London: Smith, Elder & Co.

Worked examples

Example 1 — a first encounter with Roger Collingwood

Start with the simplest possible case. Write down what Roger Collingwood claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Roger Collingwood before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Roger Collingwood ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Roger Collingwood

In research: Roger Collingwood appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Roger Collingwood in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Roger Collingwood is common in secondary-school and first-year university syllabi. It links to neighbouring topics 16th-century English mathematicians, Alumni of Queens' College, Cambridge, British mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Roger Collingwood outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Roger Collingwood in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Roger Collingwood means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Roger Collingwood out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Roger Collingwood in simple terms?

Roger Collingwood (fl. 1513) was a British mathematician. Biography Collingwood was elected a fellow of Queens' College, Cambridge, in 1497, being then B.A., and proceeded M.A. two years later.

Why does Roger Collingwood matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Roger Collingwood?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Roger Collingwood.