mathematics

Lyn English

Lyn English 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 Lyn English rather than just read about it. In short: Lyndall Denise (Lyn) English is an Australian scholar whose research concerns primary and secondary school mathematics education, "focused mainly on analogical reasoning and problem solving in early childhood, statistical reasoning as data modelling, mathematical modelling of complex systems, and links between mathematical and scientific development". She is a professor in the Faculty of Creative Industries, Educati…

Key takeaways

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

Reference excerpt

Lyndall Denise (Lyn) English is an Australian scholar whose research concerns primary and secondary school mathematics education, "focused mainly on analogical reasoning and problem solving in early childhood, statistical reasoning as data modelling, mathematical modelling of complex systems, and links between mathematical and scientific development". She is a professor in the Faculty of Creative Industries, Education & Social Justice, and School of Teacher Education & Leadership, at Queensland University of Technology, and founding editor-in-chief of the journal Mathematical Thinking and Learning.

Education and career English was a student at the Kelvin Grove College of Advanced Education, from which she has bachelor's and master's degrees in education. She became a primary school teacher in Queensland from 1974 to 1978, and served as the mathematics curriculum coordinator for the open access unit in Brisbane from 1979 to 1985. She has a PhD from the University of Queensland, for which she received the outstanding dissertation awards of the Australian Association for Research in Education and of the Association for Supervision and Curriculum Development in 1989. She joined the Queensland University of Technology as a lecturer in 1982, and was promoted to senior lecturer in 1988, associate professor in 1992, and professor in 2000. She has been associate director of the Centre for Mathematics and Science Education since 1993. She founded Mathematical Thinking and Learning in 1997, and continues to serve as its editor-in-chief.

Recognition English was elected to the Academy of the Social Sciences in Australia in 2003. The Mathematics Education Research Group of Australasia gave her their 1997 Beth Southwell Practical Implications Award, and their 2012 Career Research Medal.

Books English is the coauthor of:

Mathematics Education: Models and Processes (with Graeme S. Halford, Lawrence Erlbaum Associates, 1995) Her edited volumes include:

Mathematical Reasoning: Analogies, Metaphors, and Images (edited, Lawrence Erlbaum Associates, 1997) Handbook of International Research in Mathematics Education (edited, Lawrence Erlbaum Associates, 2002; 2nd ed., Routledge, 2009; 3rd ed., with David Kirshner, 2015) Mathematical and Analogical Reasoning of Young Learners (edited, Lawrence Erlbaum Associates, 2004) Theories of Mathematics Education: Seeking New Frontiers (edited with Bharath Sriraman, Springer, 2009) Reconceptualizing Early Mathematics Learning (edited with Joanne T. Mulligan, Springer, 2013) Early Engineering Learning (edited with Tamara Moore, Springer, 2018) Growing the Research Base for Mathematical Modeling with Young Learners (edited with Jennifer Suh and Megan Wickstrom, Springer, 2021)

References

Worked examples

Example 1 — a first encounter with Lyn English

Start with the simplest possible case. Write down what Lyn English 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 Lyn English 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 Lyn English 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 Lyn English

In research: Lyn English 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 Lyn English 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: Lyn English is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of the Queensland University of Technology, Australian mathematicians, Australian mathematics educators, so understanding it makes those chapters shorter.
In everyday life: Look for Lyn English 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 Lyn English in 20 minutes

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

Frequently asked questions

What is Lyn English in simple terms?

Why does Lyn English 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 Lyn English?

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 Lyn English.