Skip to main content

Home/ History with Holman/ Group items tagged mathematics

Rss Feed Group items tagged

Arthur H

Recognizing Ancient Greek Achievements - 1 views

  •  
      Ancient Greek achievements.
John Woodbridge

How a Medieval Philosopher Dreamed Up the 'Multiverse' - Yahoo News - 0 views

  • written by a philosopher named Robert Grosseteste — into English. Grosseteste was "one of the most dazzling minds of his generation, lauded by his successors as a mathematical genius, theologian, politician and church leader; he was the bishop of Lincoln from 1235-53,"
  • In Grosseteste's time, the dominant cosmological model was the one developed mainly by the Greek philosopher Aristotle. He postulated that there were nine planets (called spheres), one inside the other, with planet Earth at the center.
  • In De Luce, Grosseteste assumed that the universe was born from an explosion that pushed everything, matter and light, out from a single point — an idea that is strikingly similar to the modern Big Bang theory.
  • ...4 more annotations...
  • matter and light were linked together
  • rapid expansion
  • light-matter crystallizing and forming the outermost sphere — the so-called "firmament" — of the medieval cosmos.
  • The medieval philosopher realized this problem, too. To deal with it, he added an extra reason to explain why there were "exactly nine celestial spheres plus one, an 'imperfect' Earth," Bower said.
  •  
    Science
Neha C

Greek achievements and Greek history - 0 views

  • Art (Pathenon, sculptures of Phidias, etc., source of inspiration for Roman and all sorts of sub. art)
  • The Greeks excelled in sculpture.
  • Also impressive: Greek architecture.
  • ...21 more annotations...
  • Greek scupture inspired the Romans and (indirectly) the great sculptors of the Renaissance.
  • Elements of Greek architecture have been copied again and again from Roman times onward--and we still see many elements of Greek architecture in at least some of our public buildings today.
  • Sports (Olympic games)
  • The Greeks also are important for the contribution to sports.
  • There are lots of other echoes of the Greeks in our sports tradition of today.
  •   History (first and some of greatest historians, including HERODOTUS, Thucydides, and Xenophon)
  • The Greeks give us the first true historical works, and it was a Greek (Herodotus) that first used the term "history" for what we call history today.  Not only did the Greeks give us our first historical works, they also give us some of  our greatest.
  • The buildings on the Athenian acropolis are a great example.
  • First of all, it is impressive because it moves beyond the mere chronicling of events (something that had been done before) and attempts to explain why certain events happen and what those events means: what lesssons we can learn from history.
  •   Herodotus might be considered, not just the father of history, but the father of cultural anthropology as well.
  • And particular this is so when one looks at Herodotus' central theme: freedom.  A central theme of Herodotus' book is the value of living in a free society (even though it means sacrifice) rather than living under despotism no matter how well-organized and prosperous a society run by a despot might seem.  Herodotus book is one of the sources of the Western love of freedom.
  • Political science Not only do the Greeks give us our first history, they give us also our first political science, the systematic study of human government.  When one studies political science today, one constantly uses Greek terms (monarchy, democracy, etc.). Why?  Because the Greeks were the first to study the various forms of human government and to identify the strengths and weakness of each.
  • Aristotle's Politics and Plato's Republic are still much read in political science/political philosophy classes today, another good example of the lasting influence of the Greeks.
  • Poetry In poetery too, the Greek had a lasting influence.  When we analyze poetry today, we use Greek words (iamb, dactyl, trochee, etc.).  Why?  Because the Greeks were the first to systematically analyze poetry.  Here too Aristotle is a key figure.  His "Poetics" is as influential in literary criticism as his "Politics" is in political science.
  • Among the greatest and most influential of epic poems are the two great poems of Homer, the Iliad and the Odyssey. 
  • The Greeks also excelled at lyric poetry. 
  • Mathematics Math is another area in which the Greeks made important contributions.  You are all familiar with the Pythagorean theorum, and the Greek reverence for numbers that starts with Pythagoras is certainly an important contribution of the Greeks.
  • Now what's important here is *not* the practical application of geometry.  What's important is the systematic, rigorous thinking process one must go through in coming up with these proofs.  The study of Euclid taught generation after generation to think clearly and logically: and it is a pity that the current geometry texts have drifted away from this.
  •   Science The Greeks also made important contributions to the sciences.  Biology, Physics, Physiology, Zoology: all Greek names, because the Greeks were the first to systematically explore these areas.  Thales, the first Greek philosopher, also is the father of physics, asking a fundamental question: what are all things made of?  The Greeks explored the question, coming up with promising answers.  Ultimately, Greeks like Aristotle believed that the world was made up of four fundamental elements. Other Greeks added the idea that these elements in their turn were made up of invisible, indivisable particles they called atoms.  Now we have a lot more elements than the Greek four, and we believe the atom can be divided into evern more fundamental particles, but note that the Greeks are certainly on the right track.
  • Perhaps most impressive of all was Archimedes
  •   But its not just in literature the Greeks excelled. They produced some of the world's greatest art, the first true science, and some of the greatest athletes the world has ever seen.  In fact, of all the ancient peoples, it was the Greeks who contributed the most to subsequent civilization in virtually every field of human endeavor.  What's all the more amazing is that the Greek were able to do all these things despite the fact that they were constantly at war--or maybe because they were constantly at war. Generalization: Greeks made more important contributions to sub. civilization than any other ancient people.  Achievements:
Eric G

Hone the Top 5 Soft Skills Every College Student Needs - US News - 0 views

  • "hard" skills like writing, mathematics and science
  • Soft skills include the ability to adapt to changing circumstances and the willingness to learn through experience, and are applicable across multiple disciplines and careers.
  • five important soft skills college-bound students require.
  • ...26 more annotations...
  • People who succeed only when working alone will struggle in college and beyond
  • majority of careers require collaboration.
  • young people do not know how to effectively carry on a conversation and are unable to do things like ask questions, listen actively and maintain eye contact.
  • The current prevalence of electronic devices has connected young individuals to one another
  • An inability to employ these skills effectively translates poorly in college and job interviews, for instance.
  • solve problems in creative ways and to determine solutions to issues with no prescribed formula.
  • They must be able to
  • Students who are accustomed to learned processes, and who cannot occasionally veer off-course, will struggle to handle unanticipated setbacks
  • Students can improve problem-solving abilities by enrolling in classes that us​e experiential learning
  • Students can improve this skill by assuming responsibility in multiple areas during high school –
  • It is imperative that they be fully self-sufficient in managing their time and prioritizing actions.
  • The ability to track multiple projects in an organized and efficient manner, as well as intelligently prioritize tasks, is also extremely important for students long after graduation​​.
  • The best way for students to develop this skill as they prepare for college is to search for leadership opportunities in high school.
  • Both in college and within the workforce, the ability to assume the lead when the situation calls for it is a necessity for anyone who hopes to draw upon their knowledge and "hard" skills in a position of influence.
  • or gaining professional employment experience
    • Eric G
       
      The first soft skill is collaboration, which means working with other people appropriately in a group.
  • These skills will again be important not only in college, where students must engage with professors to gain references and recommendations for future endeavors, but beyond as well.
    • Eric G
       
      The second soft skill is communication, which means to have a conversation with someone.
  • Students should also try new pursuits that place them in unfamiliar and even uncomfortable situations
  • Whatever structure students may have had in high school to organize their work and complete assignments in a timely manner will be largely absent in college.
    • Eric G
       
      The third soft skill is being able to solve problems with little help.
    • Eric G
       
      The fourth soft skill is being able to manage your time when it comes to homework and projects.
  • While it is important to be able to function in a group, it is also important to demonstrate leadership skills when necessary.
    • Eric G
       
      The fifth soft skill is being a leader and having good leadership skills.
  • Soft skills include the ability to adapt to changing circumstances and the willingness to learn through experience, and are applicable across multiple disciplines and careers.
  • It is imperative for college-bound students to function efficiently and appropriately in groups, collaborate on projects and accept constructive criticism when working with others.
Garth Holman

Why the Greeks could hear plays from the back row : Nature News - 0 views

  • The wonderful acoustics for which the ancient Greek theatre of Epidaurus is renowned
  • The theatre, discovered under a layer of earth on the Peloponnese peninsula in 1881 and excavated, has the classic semicircular shape of a Greek amphitheatre, with 34 rows of stone seats (to which the Romans added a further 21).
  • a performer standing on the open-air stage can be heard in the back rows almost 60 metres away.
  • ...3 more annotations...
  • ay that the key is the arrangement of the stepped rows of seats. They calculate that this structure is perfectly shaped to act as an acoustic filter, suppressing low-frequency sound — the major component of background noise — while passing on the high frequencies of performers' voices1.
  • he thinks that the Greeks and Romans appreciated that the acoustics at Epidaurus were something special, and copied them elsewhere.
  • "By the rules of mathematics and the method of music," he wrote, "they sought to make the voices from the stage rise more clearly and sweetly to the spectators' ears... by the arrangement of theatres in accordance with the science of harmony, the ancients increased the power of the voice."
mukul g

Middle Ages - Wikipedia, the free encyclopedia - 1 views

    • Aden S
       
      The fall of Rome
  • During the High Middle Ages (c. 1000–1300), Christian-oriented art and architecture flourished and Crusades were mounted to recapture the Holy Land from Muslim control. The influence of the emerging nation-state was tempered by the ideal of an international Christendom. The codes of chivalry and courtly love set rules for proper behavior, while the Scholastic philosophers attempted to reconcile faith and reason.
  • In the Early Middle Ages the trends of the Late Antiquity (depopulation, deurbanization, and increased barbarian invasion) continued. North Africa and the Middle East, once part of the Eastern Roman Empire, became Islamic. Later in the period, the establishment of the feudal system allowed a move away from subsistence agriculture. There was sustained urbanization in Northern and Western Europe.
  • ...3 more annotations...
  • The Middle Ages (adjectival form: medieval, mediaeval or mediæval) is a periodization of European history from the 5th century to the 15th century. The Middle Ages follows the fall of the Western Roman Empire in 476 and precedes the Early Modern Era. It is the middle period of a three-period division of Western history: Classic, Medieval and Modern. The term "Middle Ages" first appears in Latin in the 15th century and reflects the view that this period was a deviation from the path of classical learning, a path that was later reconnected by Renaissance scholarship.
  • Outstanding achievement in this period includes the Code of Justinian, the mathematics of Fibonacci and Oresme, the philosophy of Thomas Aquinas, the paintings of Giotto, the poetry of Dante and Chaucer, the travels of Marco Polo, and the architecture of Gothic cathedrals such as Chartres.
  • The Middle Ages is one of the three major periods in the most enduring scheme for analyzing European history: classical civilization (or Antiquity), the Middle Ages, and the modern period.[1] It is "Middle" in the sense of being between the two other periods in time, ancient times and modern times.
Achintya K

Greece Geography - 1 views

  • About 20% of Greece is made up of islands. Crete is a large island located in the Mediterranean Sea. It is a popular tourist area for its beautiful mountains, coastline, and many ancient ruins.
    • JI-Yoon K
       
      Greece is a beautiful place to visit!
  • Much of Greece is mountainous and rocky terrain, with the occasional plain.
  • ...49 more annotations...
  • Pindus Mountains start in northern Greece and stretch south to the Gulf of Patra. In the southern part of Greece are the Peloponnesus Mountains.
  • people of Greece were one of the earliest civilizations
  • Greece is one of the oldest civilizations, dating back over 5000 years.
  • 10 million people.
    • Achintya K
       
      What is the most interesting key fact about Greece?
  • Most of the people in Greece live along the coast, or along rivers and harbors.
  • Athens.
  • Major cities
  • Athens, Patra, Piraeus, Larisa and Salonica.
    • Achintya K
       
      Figure out what are some historical highlights.
  • 51,000 square miles.
  • has many medieval churchs.
  • makes Greece a very popular tourist area.
  • well known for its sculptures, paintings, pottery, poetry and playwriting.
  • The land within Greece is not very productive for farming.
  • Greeks have struggled to build a strong economy.
  • standard of living in Greece is lower than other European countries.
  • Manufacturing
  • becoming one of the key industries.
  • Tourism
  • still has many ancient ruins, some over 4000 years old.
  • very important, particularly along the Aegean Sea coast.
  • farming includes wheat, fruits, vegetables, olives and grapes.
  • Some areas support goat and sheep ranching.
  • Fishing also continues to be an important industry.
  • Top of Page Ancient Greece is considered the birthplace of European civilization, dating back over 5000 years.
  • date back over 4000 years,
  • caves showing signs of life over 10,000 years ago.
  • ancient greek people may have come from northern Africa.
  • Ancient Greece produced many philosophers and scholars, such as Socrates and Plato.
  • contributed significantly to our current culture.
  • first democratic government
  • created
  • scientific principles
  • created
    • Achintya K
       
      What are a few things about greece?
  • mathematics.
  • contributed to the artistic community with Homer
  • wrote the Iliad and The Odyssey,
  • artisans creating sculptures, paintings, pottery, poetry and playwriting.
  • Competitive sports were a major part of Greek life. The first Olympic Games were held in Greece in 776 BC.
  • did not have a strong, unified military force.
  • ancient Greeks
  • an easy target for other invading people.
  • ancient times, Greece was conquered by the Romans. Others controlled Greece at various times. In the 15th century, the Turks invaded Greece and ruled for about 400 years. The Greeks finally got their independence in the early 1800s.
  • discovered
  • Two thirds of the population lives in urban areas such as Athens.
  • Greek culture is still heavily influenced by its ancient history.
  • Most of Greece has a mild climate. Summers are warm and dry, particularly in the southern coastal areas. Rain is heavy during the winter months, with some mountain areas getting snow.
  •  
    i had no idea that 20 percent of greece is islands and is rockey with terrains
  •  
    I really want to go to Greece
jclenk

Ancient Civilizations | Ancient History for Kids - 1 views

  • This massive Arid climate makes it a strange place for a large population of people
  • It flows north through the Sahara creating a long oasis in the desert eventually dumping into the Mediterranean Sea
  • The Nile River is the world’s longest river
  • ...19 more annotations...
  • The Nile is divided into sections by cataracts.  A cataract is a rocky area that creates a waterfall or rapids.  There are six cataracts in the Nile river.
  •  As the water level lowered, it would leave behind rich fertile soil for farmers
  • Fresh water, irrigation, fertile soil--this is why people called it the "gift" of the Nile.
  • Around 6000 BCE the climate began to change, which might explain why many humans changed from hunting and gathering to farming.  Before civilization, early humans came to the Nile River to hunt, fish, and gather food, but gradually as people learned to farm and domesticate animals (about 7000 BCE and 5500 BCE), and therefore live in permanent settlements, areas around the Nile became more crowded.
  • The change from nomadic hunter-gatherers to civilized living followed the same pattern as other places around the world: farming provided extra food, which allowed the division of labor, which allows the development of government and religion and creates social classes. 
  • Historians call them Upper Egypt and Lower Egypt
  • We know so much about the Egyptians because there are so many written resources and because their culture lasted so long with few interruptions
  • Another reason we know so much about Egypt is because they made their architecture out of stone, which has lasted for the most part. 
  • Religion was a the center of Egyptian life.  Egyptians believed in many Gods, so they were polytheistic.
  • Later Egyptians would call their kings “pharaoh”.  Egyptian people believed the pharaoh was a living God, so the Egyptians developed a theocracy, or a government ruled by religious leaders.  This is important to understanding why Egyptian people were so willing to give their grain to the Pharaoh and build him or her incredible temples—they thought the Pharaoh was a living God that would be with them forever in eternity.
  • The most well-known ritual was mummification.  Egyptians believed in life after death, and they wanted the body to look life-like.  Anyone could be mummified if they had enough money
  • Egyptians were a very advanced civilization due to their inventions and technology.  Egyptians developed a writing system called hieroglyphs that combined pictures and symbols.  Eventually, they created an alphabet from their symbols.  In 1822 CE a European explorer found what is called the Rossetta Stone (left picture)--a stone with the same message written in 3 different languages, which finally allowed historians to translate ancient hieroglyphs. Egyptians developed a 365-day calendar and used a number system based on 10. Egyptians figured out amazing ways to cut stone to use in their temples and obelisks.  An obelisk is a tall narrow monument that becomes more narrow as it goes up.  They created a writing material similar to paper called papyrus from reeds found in the Nile.  Egyptians were excellent ship builders and excelled at mathematics.  They used fractions, decimals, addition, subtraction, multiplication, division and basic ideas of geometry.  Egyptian art and architecture is famous and has been reused and copied by many other civilization including Greece, Rome, and even the United States
  • Egyptian life depended on what social class you were a part of.
  • At the top of society was the Pharaoh.  Below the Pharaoh was the royal court (Pharaoh's family), high priests, government officials, and scribes and nobles (rich land owners).  Below them were doctors and engineers, craftsman, and then farmers and unskilled workers at the bottom.  Egyptians did use some slaves, but slavery is hardly mentioned in their writings.
  • Bread was the main food source, but they would have eaten meat during festivals. 
  • Egypt's history is divided into six different time periods
  • creating Egypt's first dynasty.  He defeated some enemies and united Upper and Lower Egypt into one civilization.
  • One of the first major Pharaohs of the Old Kingdom was Djoser.  His temple was one of the first pyramids Egyptians tried to build.  It was a "step pyramid" and it started the tradition of building pyramids as a burial ground for Pharaohs. Although the term "Pharaoh" wasn't used until much later, we will keep using it to refer to Egyptian kings.   
  • Hatshepsut was a women Pharaoh.  Her tomb is an amazingly long ramp leading to a temple that has been cut out of a mountain.  Pharaoh Akhenaten tried to start a new religious tradition of worshipping only one God.  Worshipping one God is called monotheism.  This did not sit well with the polytheistic population that has honored many gods for thousands of years.  After Akhenaten's death his monuments were destroyed and his name was removed from the list of kings. Years later he was often referred to as, "the enemy". Akhenaten's son would also become famous, thousands of years later when his tomb was found perfectly preserved. His name was Pharaoh Tutankhamen--he is known and King Tut. He became Pharaoh at age 9 or 10 and ruled for only 9 years.
1 - 8 of 8
Showing 20 items per page