Wrappers delight: The Easter egg equation you never knew you needed

This Easter season, as you tear open those chocolate eggs, have you ever wondered why they’re snugly wrapped in foil? Turns out the answer lies within the easter egg equation.

Mathematician Dr. Saul Schleimer, from the University of Warwick, sheds light on the delightful connection between Easter egg wrapping and mathematical curvature.

“When you wrap an egg with foil, there are always wrinkles in the foil. This doesn’t happen when you wrap a box. The reason is that foil has zero Gaussian curvature (a measure of flatness), while an egg has (variable) positive curvature. Perfect wrapping (without wrinkles) requires that the curvatures match,” explains Professor Schleimer.

So, unlike flat surfaces, eggs have variable positive curvature, making them challenging to wrap without creases or distortions. Foil, with its flat surface and zero Gaussian curvature, contrasts sharply with the egg’s curved shape.

Attempting to wrap an egg with paper, which also lacks the required curvature, would result in unsightly wrinkles and a less-than-ideal presentation. Therefore, by using tin foil, we can harmonize the egg’s curvature with the wrapping material, achieving a snug fit without compromising its shape, thus showcasing the delightful intersection of mathematics and Easter traditions.

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Credit of the article given to University of Warwick

 


Math anxiety’ causes students to disengage, says study

A new Sussex study has revealed that “math anxiety” can lead to disengagement and create significant barriers to learning. According to charity National Numeracy, more than one-third of adults in the U.K. report feeling worried or stressed when faced with math, a condition known as math anxiety.

The new paper, titled “Understanding mathematics anxiety: loss aversion and student engagement” and published in Teaching Mathematics and its Applications finds that teaching which relies on negative framing, such as punishing students for failure, or humiliating them for being disengaged, is more likely to exacerbate math anxiety and disengagement.

The paper says that in order to successfully engage students in math, educators and parents must build a safe environment for trial and error and allow students space to make mistakes and stop learners from reaching the point where the threat of failure becomes debilitating.

Author Dr. C. Rashaad Shabab, Reader in Economics at the University of Sussex Business School, said, “As the government seeks to implement universal math education throughout higher secondary school, potentially a million more people will be required to study math who might otherwise have chosen not to.

“The results of this study deliver important guiding principles and interventions to educators and parents alike who face the prospect of teaching math to children who might be a little scared of it and so are at heightened risk of developing mathematics anxiety.

“Teachers should tell students to look at math as a puzzle, or a game. If we put a piece of a puzzle in the wrong place, we just pick it up and try again. That’s how math should feel. Students should be told that it’s okay to get it wrong, and in fact that getting it wrong is part of how we learn math. They should be encouraged to track their own improvement over time, rather than comparing their achievements with other classmates.

“All of these interventions, basically take the ‘sting’ out of getting it wrong, and it’s the fear of that ‘sting’ that keeps students from disengaging. The findings could pave the way for tailored interventions to support students who find themselves overwhelmed by the fear of failure.”

Using behavioural economics, which combines elements of economics and psychology to understand how and why people behave the way they do, the research, from the University of Sussex’s Business School, identifies math anxiety as a reason why even dedicated students can become disengaged. This often results in significant barriers to learning, both for the individual in question and others in the classroom.

The paper goes on to say that modern technology and elements of video game design can help those struggling with mathematics anxiety through a technique called “dynamic difficulty adjustment.” This would allow the development of specialist mathematics education computer programs to match the difficulty of math exercises to the ability of each student. Such a technique, if adopted, would keep the problems simple enough to avoid triggering anxiety, but challenging enough to improve learning.

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Credit of the article given to Tom Walters, University of Sussex