ETG General Paper
2016 A-Level GP · Paper 1 · Question 7

Technology and mathematical skills

What this question asks

This question asks whether people still need to be good at maths now that calculators and computers can do the sums, and how far technology has made personal maths skills unnecessary.

Question type: How far

An ETG General Paper original study guide to the 2016 A-Level GP Paper 1 essay on science & technology. Not affiliated with, or endorsed by, UCLES, Cambridge Assessment or SEAB. A study aid, not an official answer.

Read the question first
Define these terms
  • mathematical skills: rote calculation, or numeracy and reasoning, two very different things
  • unnecessary: never needed at all, the strong claim, versus less often needed by hand
  • modern technology: calculators and spreadsheets that compute, not that reason
The hidden assumption

The claim assumes mathematical skill is mainly the ability to compute, so machines that compute make it redundant, when the deeper skill is the numeracy and reasoning needed to know what to compute, to spot error and to judge results.

The calibration axis

degree: technology has made manual calculation largely unnecessary, but the reasoning, estimation and number sense behind it have become more necessary, not less, so the answer splits sharply by which skill is meant.

Two ways to argue it

How to approach it. Judge how far technology has made personal mathematical skill unnecessary, distinguishing calculation from mathematical reasoning and asking what is lost when the machine does the sums.

Option A · Degree: calculation vs reasoning

Technology has made the manual side of mathematics, long division, log tables, hand computation, genuinely unnecessary for most people; but it has made the reasoning side, numeracy, estimation and the judgement to question a result, more necessary than ever, so the claim is true for calculation and false for the mathematical thinking that decides what to calculate.

The argument, point by point
  • For manual computation, the claim is largely true: machines do it better and faster.
    Why A calculator or spreadsheet performs arithmetic without error or fatigue, so the hours once spent drilling long division buy little when the device is always to hand, freeing time for higher-order work.
    Example Spreadsheets and calculators have made hand computation redundant across most workplaces, where checking a formula matters far more than performing the arithmetic (workplace pattern, as_of 2026-06).
    Then evaluate But 'the machine computes' is not 'the human needs no maths'; someone must still know which computation to run and whether the answer makes sense.
  • The reasoning that decides what to compute has become more necessary, not less.
    Why A machine does exactly what it is told, so a user without number sense cannot frame the problem, choose the right operation or recognise a nonsensical output, which means the thinking the machine cannot do falls entirely on the person.
    Example Spreadsheet errors have produced costly real-world failures because users trusted outputs they could not sanity-check, showing that numeracy guards against the machine's confident mistakes (spreadsheet-error pattern, as_of 2026-06).
    Then evaluate The hinge: automation raises the value of judgement precisely because it removes the drudgery, so the skill that matters shifts upward rather than disappearing.
  • Estimation and number sense are everyday survival skills the machine cannot supply.
    Why Judging whether a price, a statistic or a risk is plausible requires an internal sense of magnitude, so a person who cannot estimate is at the mercy of any figure a screen presents, machine or not.
    Example The everyday ability to spot that a bill, an interest rate or a statistic is wrong depends on personal numeracy, which no calculator confers (financial-literacy pattern, as_of 2026-06).
    Then evaluate Yet this skill is unevenly held, and overreliance on devices may be eroding it, which is a reason to teach it harder, not to declare it unnecessary.
  • Mathematical literacy is also the precondition for using and trusting technology at all.
    Why The algorithms, models and statistics that run modern life are built and interpreted by people with mathematical training, so a society that lets the skill decay becomes dependent on a shrinking elite it cannot check.
    Example The data-driven economy and AI rest on mathematics that most users consume without understanding, concentrating real numeracy in fewer hands (data-economy pattern, as_of 2026-06).
    Then evaluate The complication: at the population level the claim may even be dangerous, since declaring maths unnecessary while society runs on it widens the gap between those who understand the machines and those who merely obey them.
Strongest counter & rebuttal

An ordinary person rarely needs to compute by hand, and insisting everyone master techniques the calculator does instantly can feel like nostalgia for hard-won skills the world has moved past, so there is a real sense in which day-to-day mathematical labour has become optional. But this conflates the labour with the literacy: not needing to do the sums by hand is not the same as not needing to understand them, and the person who outsources understanding along with computation becomes unable to tell a true answer from a false one, which is exactly when the skill matters most.

Measured conclusion

Technology has retired the manual arithmetic that schools once drilled, and to that extent the claim is right; but it has raised the premium on the numeracy, estimation and reasoning that tell us what to compute and whether to believe the result, so mathematical skill has not become unnecessary, it has moved up a level, and a society that mistakes the calculator for the competence will not notice until the figures are wrong.

What makes this Band 1: Reaches the top band by splitting computation from reasoning, arguing automation shifts the needed skill upward rather than removing it, and using spreadsheet errors and the data economy to show numeracy guards against the machine's confident mistakes.
Option B · Premise-rejecting: outsourcing skill is not the same as not needing it

The question confuses two different things, having a skill and being able to delegate it, since the fact that a machine can do something does not make the human capacity unnecessary; on the contrary, delegation is safe only when the delegator understands what is being delegated, so technology makes mathematical understanding a precondition for using the machines well, not a casualty of them.

The argument, point by point
  • Delegating a task to a machine requires understanding the task, not abandoning it.
    Why To use a tool wisely you must know what it does and where it fails, so handing arithmetic to a calculator presupposes the very numeracy the claim says is now unnecessary, otherwise the user cannot supervise the result.
    Example Engineers and accountants who rely on software still need deep mathematical understanding to set up and audit it, the tool extending their skill rather than replacing it (professional-practice pattern, as_of 2026-06).
    Then evaluate But this defends the expert's need; the question is whether the ordinary person, not the engineer, still needs the skill.
  • For the ordinary person too, understanding is what makes the tool trustworthy.
    Why A person who cannot reason about numbers cannot tell when a device, an app or an algorithm is giving a wrong or manipulative answer, so the machine does not remove the need for numeracy, it raises the cost of lacking it.
    Example People without basic numeracy are more easily misled by loan terms, statistics and pricing, a vulnerability that the ubiquity of figures on screens deepens (financial-literacy pattern, as_of 2026-06).
    Then evaluate The complication for the question: technology multiplies the numbers a person must judge, so it increases, not decreases, the everyday demand for mathematical sense.
  • Treating the skill as unnecessary creates a dangerous dependency the question cannot see.
    Why If a generation stops learning to reason mathematically because the machine computes, it loses the capacity to check, correct or replace the machine, so the convenience hardens into helplessness.
    Example Documented declines in mental arithmetic and the reflex to reach for a calculator for trivial sums show a dependency forming, the early cost of treating the skill as optional (numeracy-decline pattern, as_of 2026-06).
    Then evaluate This inverts the claim: technology makes deliberate cultivation of the skill more important, because the easy option is now to let it atrophy.
  • Mathematics is also a way of thinking, whose value survives any tool that does the arithmetic.
    Why Logical structure, proof, abstraction and pattern are the heart of mathematical skill, and no calculator touches them, so the claim mistakes the most replaceable part of maths for the whole.
    Example The reasoning trained by mathematics underlies coding, modelling and problem-solving across fields, none of which a calculator performs (transferable-reasoning pattern, as_of 2026-06).
    Then evaluate The reframe's payoff: the question equates mathematical skill with computation, and once that equation is rejected, the premise that machines make the skill unnecessary simply falls.
Strongest counter & rebuttal

It is fair to say that a great many people live ordinary, competent lives leaning on devices for every calculation and rarely reasoning mathematically at all, so insisting everyone needs deep numeracy can look like an academic's overestimate of how much maths daily life demands. But the cost of that dependency is hidden until it bites, in the mis-sold loan, the unchecked statistic, the manipulable voter, so the fact that people can get by without the skill is not the same as their not needing it, and a society that lets the capacity die loses the ability to govern the machines it depends on.

Measured conclusion

That a machine can compute no more makes mathematical skill unnecessary than a car makes the ability to find your way unnecessary, since delegation is safe only for those who understand what they delegate; technology has made manual arithmetic optional while making mathematical understanding a precondition for using the tools well, so the claim is true only if mathematical skill is shrunk to mere calculation, which is to mistake the smallest part of it for the whole.

What makes this Band 1: Earns the top band by rejecting the equation of mathematical skill with calculation, arguing delegation presupposes understanding, then conceding that people can get by without the skill while showing the dependency's hidden cost.
How the two approaches differ

Option A accepts the question and calibrates by degree, conceding manual calculation is now unnecessary while arguing reasoning and numeracy are more necessary. Option B rejects the premise that doing a task and needing the skill are the same, arguing delegation presupposes understanding so technology makes numeracy a precondition, not a casualty. Both split computation from reasoning, but A weighs the two while B uses the distinction to dissolve the claim's premise.

Common pitfalls
FAQ
What is the key distinction for the technology and mathematical skills question?
Calculation versus reasoning. Technology has made manual arithmetic largely unnecessary, but the numeracy, estimation and judgement needed to know what to compute and whether to trust the result have become more necessary. The whole answer turns on which mathematical skill the question means.
How do I avoid agreeing too fully that technology made maths unnecessary?
Show that doing the sums and understanding them are different. A calculator computes, but a person still has to frame the problem, choose the operation and sanity-check the output. Spreadsheet errors and mis-sold financial products show what goes wrong when numeracy is missing, so the skill shifts upward rather than disappearing.
Can I argue the question rests on a false assumption?
Yes. It assumes that because a machine can compute, the human skill is unnecessary, but delegation is safe only for those who understand what they delegate. Technology multiplies the numbers we must judge, so it makes mathematical understanding a precondition for using the tools, not a casualty of them.
ETG General Paper

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