mathematics

Hilary Shuard

Hilary Shuard 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 Hilary Shuard rather than just read about it. In short: Hilary Bertha Shuard CBE (14 November 1928 – 24 December 1992) was an expert on the teaching of mathematics in primary schools. She was a member of the Cockcroft Committee, and Deputy Principal of Homerton College, Cambridge for twenty years.

Key takeaways

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

Reference excerpt

Hilary Bertha Shuard CBE (14 November 1928 – 24 December 1992) was an expert on the teaching of mathematics in primary schools. She was a member of the Cockcroft Committee, and Deputy Principal of Homerton College, Cambridge for twenty years.

Life Shuard was born in Chester on 14 November 1928. She was educated in mathematics at Oxford and Cambridge Universities, and also gained blues in hockey and cricket at Cambridge. Between 1953 and 1959, she taught at Christ's Hospital Hertford before joining the staff of the mathematics department at Homerton College Cambridge, where she remained until 1986. She was Deputy Principal of the college from 1966 until her retirement. Shuard was an "internationally known expert on mathematics in primary schools." Shuard was president of the Mathematical Association for 1985–1986. From 1979 to 1989 she was President of the Cambridgeshire Women's Hockey Association. In 1970, Shuard published Primary Mathematics Today with Elizabeth Williams, which has since become a standard reference for primary school mathematics teachers. Shuard was a proponent of calculators in school, and was a member of the Cockcroft Committee, a government inquiry into mathematics education in schools. The Cockcroft Report was published in 1982. After this time Shuard set up the Prime project (Primary Initiatives in Mathematics Education), which was part of the National Curriculum Council, and included work on the acceptance of calculators in the primary curriculum, something for which Shuard was a strong advocate. Shuard died in Cambridge on 24 December 1992, aged 64.

Recognition Shuard was awarded a CBE in 1987.

References

Worked examples

Example 1 — a first encounter with Hilary Shuard

Start with the simplest possible case. Write down what Hilary Shuard 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 Hilary Shuard 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 Hilary Shuard 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 Hilary Shuard

In research: Hilary Shuard 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 Hilary Shuard 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: Hilary Shuard is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1928 births, 1992 deaths, 20th-century British women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Hilary Shuard 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 Hilary Shuard in 20 minutes

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

Frequently asked questions

What is Hilary Shuard in simple terms?

Why does Hilary Shuard 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 Hilary Shuard?

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 Hilary Shuard.