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Great Mathematician Georg Cantor

https://onlineedumath.com/update/great-mathematician-georg-cantor/3231683

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Georg Cantor (1845-1918) Of all the great mathematicians, Cantor most perfectly fulfils the (Hollywood) stereotype that a genius for maths and mental illness are somehow inextricable. Cantor's most brilliant insight was to develop a way to talk about mathematical infinity.  His set theory lead to the counter-intuitive discovery that some infinities were larger than others.  The result was mind-blowing. Unfortunately he suffered mental breakdowns and was frequently hospitalized. He also bec...

Mathematics Story

https://onlineedumath.com/update/mathematics-story/3230998

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Banana the Frog-Chasing Pup. Once upon a sunny street, there lived a dog named Banana. He was no ordinary pup; his love for bananas was unmatched. Every morning, he'd eagerly await the fruit truck, watching it turn the corner with his tail wagging. Banana's coat was as golden as the sun, and he lived in a house painted yellow to match. His owner, Lily, would often find him munching on a banana, leaving the peels all around. On the other side of the road lived Lily's friend Sarah, who had a...

Mathematics Story

https://onlineedumath.com/update/mathematics-story/3230121

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Benny's Button Bonanza. Benny lived in a bouncy house. Not really, but it felt like it! His dad was a bouncy house blower-upper, which is a very bouncy job indeed. One day, Benny’s dad said, “Let’s bounce to the town, Benny! We need buttons!” Benny scratched his head. “Buttons? Why do we need buttons, Dad?” “Why, to button up our bouncy house, of course! It needs three more buttons to be extra bouncy!” Dad chuckled. “Come on, let’s go!” So they hopped in their car, which wasn’t nearly as b...

Mathematics Story

https://onlineedumath.com/update/mathematics-story/3228821

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The Great Graph Gala. Barnaby Bear loved berries. Big berries, little berries, red berries, blue berries - he loved them all! He especially loved sharing them with his friends. There was Ferdinand Fox who favored figs, Penelope Penguin who preferred plums, and Carlos Caterpillar who, you guessed it, craved crunchy carrots! One sunny day, Barnaby decided to throw a gala. "A Graph Gala!" he declared, "We'll chart everyone's favorite snacks!" Ferdinand Fox, with his fondness for figures, hop...

Advantages of Teaching and Learning Mathematics

https://onlineedumath.com/update/advantages-of-teaching-and-learning-mathematics/3228410

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Advantages of Teaching and Learning Mathematics. The advantages of teaching and learning mathematics include enhanced logical reasoning, improved problem-solving and analytical skills, better cognitive function, and a broader range of career opportunities. Mathematics also improves financial literacy, provides a framework for understanding the natural world and other subjects, and fosters patience, discipline, and confidence. 

Mathematics Story

https://onlineedumath.com/update/mathematics-story/3228043

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The Great Dolphin Dilemma. Once upon a time, in a sparkling sea so blue, lived a dolphin named Dippy, full of fun and whoo-hoo! Dippy had a crew, the Splashy Squad, with fins like flippers and hearts like frogs. "Squad, assemble!" Dippy chirped with flair. "We've got a problem that needs ocean care!" With tails a-wagging and eyes aglow, the Splashy Squad was ready to go! First in line was Bubbles galore, with colors like rainbows, they counted to four. "Let's solve a puzzle, solve it quick...

The Role of a Mathematics Educator in a School

https://onlineedumath.com/update/the-role-of-a-mathematics-educator-in-a-school/3228039

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The Role of a Mathematics Educator in a School. A mathematics teacher's role is multifaceted, involving designing and delivering lessons, explaining complex mathematical concepts, assessing student progress, and fostering essential skills like critical thinking and problem-solving.  Beyond classroom instruction, teachers provide individual support, collaborate with parents and colleagues, and create a positive learning environment to inspire a lifelong appreciation for mathematics in their...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3216933

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Calculating Shaded Blue Area. a²+(0.5*6)² = 5² a² = 25-9 a = √(16) a = 4 cm. It is; Area isosceles right-angled triangle with equal sides 6 cm+Area trapezoid with parallel lengths 3 cm and 6 cm, and height 4 cm. = ½(6*6)+½(3+6)*4 = ½(36)+½(36) = 18+18 = 36 cm²

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3121528

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Sir Mike Ambrose is the author of the question. Let the radius of the semi circle be 3 units. Therefore shaded area ÷ area square will be; (½(area quarter circle of radius 3 units - area triangle of height and width 3 units respectively) + area triangle of two sides ((3√(2)/2)-(3√(3)tan22.5)/2) units and ((3√(2)/2)-(3√(3)tan22.5)/2)xsin(tan–¹(3)-45)÷sin(180-tan–¹(3))) units, and the angle they form, angle 45°) ÷ (area square of single side length ½(3√(2)) units). {½((9π/4)-(9/2)) +...

Mathematics Question and Solution

https://onlineedumath.com/update/mathematics-question-and-solution/3117316

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Sir Mike Ambrose is the author of the question. Let the bigger inscribed square be 2 units. BC = 1+2+x = (3+x) units. Calculating x. (3+x)²=1²+8-4√(2)cos135 3+x=√(13) x = (√(13)-3) units. Therefore; BC (side of the ascribed square ABCD) is; BC = 3+√(13)-3 BC = √(13) units. Therefore; Area ABCD is; √(13)² = 13 square units. Area Yellow is; Area trapezium with parallel sides √(13) units and (√(13)-3) unit respectively, and height (√(13)-2) unit - Ar...
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