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‘Giant’ 300,000-year-old hand axes unearthed in Kent

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‘Giant’ 300,000-year-old hand axes unearthed in Kent

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‘Giant’ 300,000-year-old handaxes unearthed in Kent

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Discovery of more than 800 artefacts includes some of largest early prehistoric stone tools in Britain

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3 min video on shrinkflation and skimpflation

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3 min video on shrinkflation and skimpflation

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Shrinkflation: How food giants try to trick you - BBC Reel

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Ever heard of ‘shrinkflation’ or ‘skimpflation’? It pays to be aware - so here’s your whistle-stop guide. Video by Tom Heyden

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Register your interest in New to teaching Core Maths Programme or Core Maths Work Groups

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Register your interest in New to teaching Core Maths Programme or Core Maths Work Groups

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Expression of interest - Level 3 AMSP/Maths Hubs Work Groups and Programmes starting Autumn 2024

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An opportunity to express interest in joining a Level 3 Work Group or Programme when they become open to applications.

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Summary

Finding out you will be teaching Core Maths can feel overwhelming. You may be thinking, where can I find resources? How do I choose activities which will motivate your students? Or how do I prepare them for assessment?

Preparing to Teach Core Maths is a four week live online professional development course and is aimed at those who will be teaching Core Maths for the first time in the near future. The course will be interactive and discursive. It will cover the following topics:

Planning and resourcing

Selection and delivery of activities

Preparing for assessment

Recruitment and maintaining a strong cohort

Who will benefit from attending?

This course is aimed at those who will be teaching Core Maths for the first time in the near future.

If this course is not quite what you are looking for, you may like to consider:

Choose an event

Listed here are the upcoming dates and times this course will run.

There are currently no instances of this event available.

To register your interest in any of our Core Maths courses, please register your interest and we will contact you when a suitable course is open for applications.

Get notified

Interested in this course? Be the first to know where and when it's running by joining our Stay Informed mailing list.

Click to access the login or register cheese Skip to content

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Finding out you will be teaching Core Maths can feel overwhelming. Join us for our new Preparing to teach Core Maths course.

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Shared teacher activities from previous years

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Shared teacher activities from previous years

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Biology lesson on Lumen on Just noticeable difference

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Biology lesson on Lumen on Just noticeable difference

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Just-Noticeable Difference | Biology for Majors II

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In the branch of experimental psychology focused on sense, sensation, and perception, which is called psychophysics, a just-noticeable difference (JND) is the amount something must be changed in order for a difference to be noticeable, or detectable at least half the time (absolute threshold). This limen (another word for threshold) is also known as the difference limen, differential threshold, or least perceptible difference.

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Just noticeable difference classroom experiment

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Just noticeable difference classroom experiment

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Psychophysical Distinctions: Investigating “Just Noticeable Differences” | Science project | Education.com

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Learn about the field of psychophysics and to learn about “Just Noticeable Differences.”

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Slow reveal graph on CO2 emissions by income globally

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Slow reveal graph on CO2 emissions by income globally

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Extreme Carbon Inequality: Percentage of CO2 Emissions by Income, Globally

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Carbon emissions are fueling our climate crisis, and some people’s lifestyles are disproportionately responsible. Click to access the slide deck, and learn more about math & content connections.

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Slow reveal graph on how much governments spend on childcare for toddlers

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Slow reveal graph on how much governments spend on childcare for toddlers

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How Much Governments Spend on Childcare for Toddlers

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How much do different governments pay for childcare? (Focuses on European governments, but also includes a few others.) The US is an outlier... but by how much? Click to access the slide deck, and learn more about math & content connections.

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The just noticeable difference (JND), also known as the difference threshold, is the minimum level of stimulation that a person can detect 50 percent of the time. For example, if you were asked to hold two objects of different weights, the just noticeable difference would be the minimum weight difference between the two that you could sense half of the time.

It is important not to confuse the just noticeable difference and the absolute threshold. While the difference threshold involves the ability to detect differences in stimulation levels, the absolute threshold refers to the smallest detectable level of stimulation.

The absolute threshold for sound, for example, would be the lowest volume level that a person could detect. The just noticeable difference would be the smallest change in volume that a person could sense.

Development of the Concept

The difference threshold was first described by a physiologist and experimental psychologist named Ernst Weber and later expanded upon by psychologist Gustav Fechner. Weber's Law, also sometimes known as the Weber-Fechner Law, suggests that the just noticeable difference is a constant proportion of the original stimulus.

For example, imagine that you presented a sound to a participant and then slowly increased the decibel levels. You had to increase the sound level by 7 decibels before the participant could tell that the volume had increased. In this case, the just noticeable difference would be 7 decibels. Using this information, you could then use Weber's law to predict the just noticeable difference for other sound levels.

In reality, the just noticeable difference can vary across trials. This is why the JND is usually determined by conducting multiple trials and then using the smallest levels that participants could detect at least 50 percent of the time.

The intensity level of the stimulus can also play a role in how much people notice changes. If a light is very, very dim, people might be more likely to notice smaller changes in intensity than they would if those same changes were made to brighter light.

For example, imagine that you are in a dark movie theater. The house lights slowly start to turn on and you immediately notice even a very small change in the light intensity. Afterward, you leave the theater and head outside where the sun is shining brightly. If the same changes in light intensity were made outside, you might be less likely to notice them since the stimulus level is much higher.

The just noticeable difference applies to a wide variety of senses including touch, taste, smell, hearing, and sight. It can apply to things such as brightness, sweetness, weight, pressure, and noisiness, among other things.

Imagine that you volunteer for a psychology experiment at your school. The researchers ask you to hold two small amounts of sand in each hand. An experimenter slowly adds tiny amounts of sand to one hand and asks you to say when you notice that one hand feels heavier than the other. The smallest weight difference that you can detect at least half the time is the just noticeable difference.

You are watching television with your spouse, but the volume is too low to hear. You ask your spouse to turn it up. He presses the volume button twice, but you still cannot tell a difference in the volume. Your spouse presses the button two more times before you are able to notice the increase in volume.

You are having a party at your apartment and the neighbor comes over and asks you to turn the music down. You and your guests immediately notice that the music is much quieter, but your neighbor does not notice a difference in the volume because the change is below his difference threshold.

You volunteer for another psychology experiment at your school. This time, the experimenters place small amounts of sugar in a container of water and ask you to drink it. You are asked to say when you notice the sweetness of the water versus the plain water. The smallest level of sweetness you can taste half the time is the difference threshold.

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The Role of Just Noticeable Difference in Psychology Experiments

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The just noticeable difference (JND), also known as the difference threshold, is the minimum level of stimulation that a person can detect 50 percent of the time. For example, if you were asked to hold two objects of different weights, the just noticeable difference would be the minimum weight difference between the two that you could sense half of the time.

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Price changes between September 2021 and September 2022

Questions Q1) Is there any contradiction in the first paragraph?
The Office for National Statistics says food price inflation has risen to 15 per cent. Er, have they been to a supermarket lately? I reckon the cost of basic foodstuffs is up nearer 20 per cent.
Q2) What is the percentage change from 1lb to 14oz?
The metric system makes it a lot easier for manufacturers to con consumers - 1lb down to 14oz would be picked up quickly, but 454g to 425g is less noticeable.
Q3) What is the percentage change from 454g to 425g? Q4) Why has the author chosen 454g? Q5) Convert 425g to ounces. Q6) What error has the author made regarding the weights? Correct the sentence. Q7) What is the error in the toothpaste example? Correct the sentence.
So, Sensodyne toothpaste is the same price, but tubes are now 75ml instead of 100ml. That's a 25 per cent price increase.
Q8) Calculate the missing figures in the table. Then compare them to the original version, shown below in the answers. Comments? Q9) Birds Eye frozen peas are mentioned. Here they are, as available at Tesco's. Which one is the best value?

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Answers A1) Is there any contradiction in the first paragraph?
No. "Food price inflation" could have risen to 15% while the "cost of basic foodstuffs" has increased by more than this, because food price inflation includes more than just the basics.

(And presumably the government's Office for National Statistics is a more reliable source than Someone Who Goes to a Supermarket.)
A2) What is the percentage change from 1lb to 14oz?
1 lb = 16oz. So the percentage change is 2/16 = 12.5%
A3) What is the percentage change from 454g to 425g?
The percentage change is 29/454 = 6.4%

So it is obvious that the first change would be more noticeable, because it is so much bigger!
Q4) Why has the author chosen 454g?
454g is equivalent to 1 lb.
A5) Convert 425g to ounces.
425/454 x 16 = 14.97797. So it is 15 ounces.
A6) What error has the author made regarding the weights? Correct the sentence.
They have tried to say that the same weight reduction is easier to spot in the Imperial system than in the metric system. Unfortunately, they have gone from 16oz to 14oz in Imperial units and 16oz to 15oz when converted to metric units. Oops!

It could be corrected to be either of these:

* 1lb down to 15oz would be picked up quickly, but 454g to 425g is less noticeable.

* 1lb down to 14oz would be picked up quickly, but 454g to 397g is less noticeable.
A7) What is the error in the toothpaste example? Correct the sentence.
The volume of toothpaste has gone down by 25%, but that is not the same as a 25% increase in price.

To find the equivalent price increase, we need to find out what percentage of the new volume we would need to buy to get the original amount of toothpaste. We would need 1 and 1/3 tubes of 75ml toothpaste to make 100ml. That is the same as a 33 1/3 % increase in price.

It could be corrected to be:

So, Sensodyne toothpaste is the same price, but tubes are now 75ml instead of 100ml. That's a 33 per cent price increase.
A8) Calculate the missing figures in the table. Then compare them to the original version, below. Comments?

You will not have got exactly the same numbers. Nothing is more than a penny away from what you expect, though, so anything further away than this has an error.

What is going on with the sugar and the rice? Presumably the prices are not exact but have been rounded. How it this possible? They must be average costs across lots of different shops.
A9) Birds Eye frozen peas are mentioned. Here they are, as available at Tesco's. Which one is the best value?
Working out the cost per kg, or the cost per g is a good way to do this.

Strangely, it's not the largest packet!

Source: https://www.telegraph.co.uk/columnists/2022/10/26/shocking-prices-shrinking-sizes-does-government-need-stop/

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This is taken from a Daily Telegraph article (with paragraphs removed to save space). Shrinkflation is speeding up at an alarming rate T...

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Animated global statistics that everyone can understand

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Reverse percentages with climate statistics from Core Maths platform Warm Ups

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Reverse percentages with climate statistics from Core Maths platform Warm Ups

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Requires a log in to the free Core Maths platform: Resource - AMSP

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Integral Mathematics Resources: Log in to the site

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Article - The areas where free nursery places are likely to be limited - mapped

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Article - The areas where free nursery places are likely to be limited - mapped

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The areas where free nursery places are likely to be limited - mapped

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Childcare ‘deserts’ are expected to get worse in some areas, the Early Years Alliance said

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The report also highlighted concerns that:

It says the DfE should monitor the impact of funded hours on the availability and quality of places for disadvantaged children or those with special educational needs and disabilities (Send).

Meg Hillier MP, chair of the Public Accounts Committee, said that by cancelling early testing plans, the DfE "missed opportunities to learn... which would have helped it better understand, and mitigate against, the challenges local authorities would face when expanding entitlements".

Shadow education secretary Bridget Phillipson said Labour had already promised a review to "inform our plans for a modern early-years system that better supports families with access to available, affordable childcare".

"Only Labour can deliver the reformed early-years system that will transform children's life chances and give parents choices in the workplace," she added.

A DfE spokesperson said the government was "delivering the largest ever expansion of childcare in England's history".

The spokesperson added: "We have taken decisive steps to prepare the sector for the next phases, including increasing funding well above market rates, launching a workforce campaign and new apprenticeship routes, as well as providing £100m of capital funding to help expand or refurbish facilities.

"The childcare expansion builds on previous successful rollouts, including 30 hours for three and four-year-olds in 2017. Learnings from this were applied this time round".

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Government scrapped tests to check 30 hours' free childcare plan

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The National Audit Office says a £35m pilot to test the expansion of free childcare in a few areas was cancelled.

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How Many Gigatons of CO2...? - Information is Beautiful

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How much Co2 are we emitting? How much is left in the ground? And what will happen if we release it? Everything about global warming in one infographic.

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Welcome to the world of CPM, or Cost Per Mille, which is a fancy way of saying the cost per thousand impressions. If you’ve ever worked in the marketing or advertising world, you’ve likely heard of this term. It’s a crucial metric used to measure the cost-effectiveness of online advertising campaigns. Whether you’re a seasoned marketing professional or just dipping your toes into the world of online ads, knowing how to calculate CPM efficiently can make a world of difference.

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Online Advertising Costs In 2025 | Top Draw

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Discover the average cost of online advertising in 2024. Including Search Ads, Display Ads, Facebook Ads, Twitter Ads, and more.

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eCommerce Niches With The Highest Conversion Rates [2024]

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What are the top 10 eCommerce niches with the highest conversion rates? Choose the one you are most passionate about to launch a successful business!

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Best Marketing Campaigns of the Last Decade: 2010 - 2020

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Best Marketing Campaigns of the Last Decade: 2010 - 2020

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Best Marketing Campaigns of the Last Decade: 2010 - 2020 - Digital Uncovered

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Ancient Humans Made Millions Of These - We Don’t Know Why

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Obsidian hydration dates glacial loading? - PubMed

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Three different groups of hydration rinds have been measured on thin sections of obsidian from Obsidian Cliff, Yellowstone National Park, Wyoming. The average thickness of the thickest (oldest) group of hydration rinds is 16.3 micrometers and can be related to the original emplacement of the flow 17 …

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This 3d model shows a red blood cell or eryhtrocyte. This model is suitable for filming, education, documentaries and so on… - Red blood cell - 3D model by ouaidat81

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Factors that determine your blood type and how you can find out your blood type.