mathematics

John Colenso

John Colenso 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 John Colenso rather than just read about it. In short: John William Colenso (24 January 1814 – 20 June 1883) was a Cornish cleric and mathematician, defender of the Zulu people, and biblical scholar, who served as the first Bishop of Natal. He was a scholar of the Zulu language.

Key takeaways

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

Reference excerpt

John William Colenso (24 January 1814 – 20 June 1883) was a Cornish cleric and mathematician, defender of the Zulu people, and biblical scholar, who served as the first Bishop of Natal. He was a scholar of the Zulu language. In his role as an Anglican theologian, Colenso is now remembered for views of the Bible that set off intense controversy.

Early life and education Colenso was born at St Austell, Cornwall, on 24 January 1814 the son of John William Colenso and Mary Ann Blackmore. His surname is Cornish. It may originate from Colenso in the parish of St Hilary or Madron, near Penzance in West Cornwall. It is a place name from the Cornish language Kelyn dhu, meaning "black hollies". His father (John William Colenso) invested his capital into a mineral works in Pentewan, Cornwall. The speculation proved to be ruinous when the investment was lost following a sea flood. His cousin William Colenso was a missionary in New Zealand. Family financial problems meant that Colenso had to take a job as an usher in a private school before he could attend university. These earnings and a loan of £30 raised by his relatives paid for his first year at St John's College, Cambridge where he was a sizar. Showing talent in mathematics, in 1836 he was Second Wrangler and Smith's Prizeman at the University of Cambridge, and in 1837 he became a fellow of St John's. Two years later he went to Harrow School as mathematical tutor and housemaster, but the step proved an unfortunate one. The school was at its lowest ebb, and Colenso not only had few pupils, but lost most of his property in a fire. He returned to Cambridge burdened by an enormous debt of £5,000. However, within a relatively short period he paid off this debt by diligent tutoring and the sale to Longmans of his copyright interest in the highly successful and widely read manuals he had written on algebra (in 1841) and arithmetic (in 1843).

Career Colenso's early theological thinking was heavily influenced by F. D. Maurice to whom he was introduced by his wife and by Samuel Taylor Coleridge. In 1846 he became rector of Forncett St Mary, Norfolk, and in 1853 he was recruited by the Bishop of Cape Town, Robert Gray, to be the first Bishop of Natal. He was consecrated as bishop on St Andrew's Day, 30 November 1853, at St Mary-at-Lambeth.

Life in Africa Colenso was a significant figure in the history of the published word in 19th-century South Africa. He first wrote a short but vivid account of his initial journeying in Natal, Ten Weeks in Natal: A Journal of a First Tour of Visitation Among the Colonists and Zulu Kafirs of Natal. Using the printing press he brought to his missionary station at Ekukhanyeni in Natal, and with William Ngidi he published the first Zulu Grammar and English/Zulu dictionary. His 1859 journey across Zululand to visit Mpande (the then Zulu King) and meet with Cetshwayo (Mpande's son and the Zulu King at the time of the Zulu War) was recorded in his book First Steps of the Zulu Mission. The same journey was also described in the first book written by native South Africans in Zulu – Three Native Accounts by Magema Fuze, Ndiyane and William Ngidi. He also translated the New Testament and other portions of Scripture into Zulu.

Religious debate

… excerpt ends here. Continue reading the full article.

Illustrations

John Colenso: John William Colenso, by Carlo Pellegrini, 1874 — John William Colenso, by Carlo Pellegrini, 1874

Worked examples

Example 1 — a first encounter with John Colenso

Start with the simplest possible case. Write down what John Colenso 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 John Colenso 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 John Colenso 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 John Colenso

In research: John Colenso 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 John Colenso 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: John Colenso is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1814 births, 1883 deaths, 19th-century Anglican theologians, so understanding it makes those chapters shorter.
In everyday life: Look for John Colenso 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 John Colenso in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what John Colenso 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 John Colenso out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is John Colenso in simple terms?

Why does John Colenso 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 John Colenso?

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 John Colenso.