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New ActivityThe latest activity to be updated on this site is called "Quadratic Gaps" (Work out the first and second differences of the terms of a quadratic sequence to solve problems.). So far this activity has been accessed 116 times and 17 people have earned a Transum Trophy for completing it. 
Learning about quadratic gaps (the word gap refers to the difference between consecutive terms of the sequence) is worthwhile as it provides pupils with a deeper understanding of quadratic sequences, which are commonly encountered in various mathematical problems. By working out the first and second differences of the terms of a quadratic sequence, pupils can identify the pattern and relationship between the terms. This helps them develop their problem-solving skills and critical thinking abilities. Featured ActivityWhere's Wallaby? Find the hidden wallaby using the clues revealed at the chosen coordinates. Not only is this a fun way to practise using coordinates it is also a great introduction to Pythagoras' theorem and loci. Recent News:Scientists find that “perfect” systems may be surprisingly fragileComplex systems may work better when their parts are not perfectly alike. Northwestern physicists found that carefully balanced variation, or “disorder,” can make networks such as power grids, ecosystems, neurons, and materials more stable. Even random differences sometimes improved stability compared with completely uniform systems. The discovery could help researchers design more resilient technologies and explain why natural systems are so rarely perfectly uniform. more... The shape behind the Einstein problem just revealed strange new physicsA mathematical shape famous for covering a surface without ever repeating has revealed an unexpected ability to twist light into unusual chiral patterns. The discovery could lead to new ways of controlling light, polarization, and advanced optical devices. more... Researchers find a Wordle strategy that wins 99% of the timeResearchers at Binghamton University have developed a mathematical strategy that can solve Wordle with a 99% success rate. Instead of simply guessing words packed with common letters or choosing the most likely answer, the method uses Shannon entropy, a measure from information theory, to identify guesses that reveal the most useful information. Each guess is designed to rapidly shrink the pool of possible answers, even when the guessed word itself seems unlikely to be correct. more... Scientists find a way to slash computer memory energy use by orders of magnitudeScientists have devised a new way to switch magnetic computer memory while using far less energy than today's leading technologies. By mathematically optimizing the pulses used to flip digital bits, the method could reduce energy consumption by several orders of magnitude. Simulations suggest it may bring future memory devices surprisingly close to the fundamental physical limit for processing information. The same idea could eventually work with electrical currents or ultrafast lasers. more... Harvard scientists turn knitting into shape-shifting smart fabricHarvard researchers have transformed ordinary knitting into a platform for creating fabrics that can snap between different shapes and perform useful functions. Using elastic yarns and industrial knitting techniques, the team engineered thick textiles that naturally curve and lock into multiple stable configurations, much like a light switch flipping between on and off. By adding conductive yarn, they turned these shape-shifting fabrics into soft electronic switches capable of controlling lights, counting steps, and responding to movement. more... This strange “spacetime crystal” can suddenly become a black holePhysicists have mathematically captured a bizarre “spacetime crystal” that can either dissolve or collapse into a microscopic black hole after only a tiny change in energy. Their breakthrough came from an unusual trick involving infinitely many dimensions, potentially giving researchers a new tool for studying primordial and microscopic black holes. more... Tiny graphene wrinkles create surprisingly powerful electrical effectsScientists have discovered that tiny, sharply curved wrinkles in graphene can dramatically alter its electrical behavior, creating surprisingly strong charge separation. The finding suggests future electronics could be tuned by reshaping materials at the atomic scale instead of changing what they’re made of. more... |
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