contributions made by Islamic mathematician Muhammad Al-Khwarizmi to the difference subjects of algebra, geometry and trigonometry. Ideas discovered by Al-Khwarizmi are discussed as well as other concepts that serve as proof of his understanding of various complex ideas we use nowadays. These concepts include simplifying equations, completing the square and trigonometric tables. Key-Words: - Islam, Mathematics, Algebra, Geometry, Trigonometry 1 Introduction Throughout time, cultures and societies have created and discovered amazing concepts that have been passed down and are now considered…
Over time, the Greek civilization has had many different and unique inventions. However, Greek Geometry was one of the most crucial inventions ever discovered. Geometry helped to find out precise measurements, construct advanced architecture, and become the leading civilization in mathematics. The invention was discovered by a mathematician named Euclid. He had many math theorems of his own, and later wrote his own book. The Elements contained all the works from previous Greek mathematicians,…
Under a survey I conducted, I found out that about 74% of students actually like math. “It was fine before they implemented the Common Core. I think they should 've kept math they way they did before they implemented the new way of learning. And that 's why I hate math and dread going to math class” says Patrick Murzinski, an honors math student. Joey Rorro, a former honors geometry student states, “I hate geometry. Its useless information unless you are pursuing a career in architecture. Trying…
Johnny Martinez Period 7th Pythagorean Theorem The Pythagorean Theorem also known as Pythagoras’s theorem is a relation in Euclidean geometry that are the tree sides of a right triangle. It’s the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. The equation use for it is A squared plus B squared equals C squared.The Theorem relates the lengths of the three sides of any…
I used to believe that geometry wasn’t possible without algebra, that geometry was essentially a representation of algebra. I didn’t have an experience of geometry that focused on the creativity and ingenuity that I’ve come to now know. Chapter 6 of Journey Through Genius reiterates how impressive the discipline of geometry truly is. Cardano’s solution to the general solution was astonishing, to me, because of the literal use of geometry to find the appropriate algebraic identities and the…
great mathematicians like Archimedes, Pythagoras, Euclid and Eratosthenes who provided the modern world with a strong base to the knowledge we have today. They gave the modern world hydrostatics, the volume of a sphere and the calculation of pi which is used to design impressive sea vessels, industrial tanks and modern medical devices respectively. Additionally, the modern world received from the ancient Greeks the Pythagoras theorem which has been beneficial to fields like astronomy and…
After exploring geometry in all types of variations and activities since the beginning of the school year, on October 18th, 2015 I have planned to introduce the children in the 4’s class to an activity that supports spatial visualization and imagery. According to Douglas H. Clements and Julie Sarama, the authors of Learning and Teaching Early Math (2014), the ability to engage in visual imagery and spatial visualization is one of the most powerful operations in human cognition. This ability is…
The Greeks developed advanced forms of geometry. As seen in document 3, the Greek mathematician Euclid created a book of geometry called the Elements. In document 3 an excerpt of the book is shown where definitions for geometry are written, such as, “An obtuse angle is one greater than a right angle”. These definitions showed how the Greeks valued learning because people could read the book to learn about geometry. Additionally, the learning of the Greeks could help people’s professions.…
known for his writing and comments on Ptolemy’s books, Almagest and Handy Tables. Theon influenced Hypatia greatly; she continued his program. This program was to preserve mathematical and astronomical Greek heritage in scarce times. She is accredited with the comments she made on Apollonius of Perga Conics, geometry, and Diophantus of Alexandria’s Arithmetic, number system. She pushed her father’s thoughts. In her time she was the lead mathematician and astronomer. She is the only woman who…
A’s my eighth grade year, was corrupted by going into my freshman year, Geometry class. Our eighth grade year was still young. This was the good times when our grades didn’t count and I personally, didn’t care if my grades did count or not. My favorite time of the day was Algebra one. Now, I know that many of my classmates hated…