Aglaya

  • English Language
  • 8th grade

Aglaya

Reading and Text Analysis - English Language

  • Why is mathematics important in daily life?
  • Can you name any famous mathematicians?
  • mathematics, the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter. Since the 17th century, mathematics has been an indispensable adjunct to the physical sciences and technology, and in more recent times it has assumed a similar role in the quantitative aspects of the life sciences.

    In many cultures—under the stimulus of the needs of practical pursuits, such as commerce and agriculture—mathematics has developed far beyond basic counting. This growth has been greatest in societies complex enough to sustain these activities and to provide leisure for contemplation and the opportunity to build on the achievements of earlier mathematicians.

    All mathematical systems (for example, Euclidean geometry) are combinations of sets of axioms and of theorems that can be logically deduced from the axioms. Inquiries into the logical and philosophical basis of mathematics reduce to questions of whether the axioms of a given system ensure its completeness and its consistency. For full treatment of this aspect, see mathematics, foundations of.

    This article offers a history of mathematics from ancient times to the present. As a consequence of the exponential growth of science, most mathematics has developed since the 15th century ce, and it is a historical fact that, from the 15th century to the late 20th century, new developments in mathematics were largely concentrated in Europe and North America. For these reasons, the bulk of this article is devoted to European developments since 1500.

    This does not mean, however, that developments elsewhere have been unimportant. Indeed, to understand the history of mathematics in Europe, it is necessary to know its history at least in ancient Mesopotamia and Egypt, in ancient Greece, and in Islamic civilization from the 9th to the 15th century. The way in which these civilizations influenced one another and the important direct contributions Greece and Islam made to later developments are discussed in the first parts of this article.

    India’s contributions to the development of contemporary mathematics were made through the considerable influence of Indian achievements on Islamic mathematics during its formative years. A separate article, South Asian mathematics, focuses on the early history of mathematics in the Indian subcontinent and the development there of the modern decimal place-value numeral system. The article East Asian mathematics covers the mostly independent development of mathematics in China, Japan, Korea, and Vietnam.

  • Match the words with their meanings.
  • structure -the process of thinking logically about something
  • reasoning-a way that parts are organized or arranged
  • quantitative-a general idea rather than a concrete object
  • abstraction-related to numbers or amounts
  • commerce-to support or keep something going
  • sustain-the activity of buying and selling goods
  • axiom-a statement that can be proved using facts and logic
  • theorem-a statement that is accepted as true without proof
  • civilization-the power to affect how someone or something develops
  • influence-an advanced human society with culture and knowledge
  • Fill in the blanks with correct words from the list:
    (structure, reasoning, commerce, influence, civilization)
  • Ancient _______ like Egypt and Greece made big progress in mathematics.
  • Logical _______ is important for solving problems.
  • Trade and _______ helped mathematics grow.
  • The _______ of India was strong in Islamic mathematics.
  • Geometry studies the _______ of shapes.
  • Choose the correct form.
  • Mathematics (has / have) been important since ancient times.
  • It (developed / has developed) far beyond basic counting.
  • Many cultures (were / have been) influenced by Greek mathematics.
  • Mathematicians (worked / have worked) for centuries to create new ideas.
  • Since the 17th century, mathematics (became / has become) a part of science.
  • Reading Comprehension

    Answer the questions:

  • What is mathematics described as in the first paragraph?
  • Why did mathematics develop in many cultures?
  • What are mathematical systems made of?
  • Where did most mathematical development occur after the 15th century?
  • Why is it important to study ancient civilizations to understand European mathematics?
  • How did India influence Islamic mathematics?

Manh Hung

English as a Second Language (ESL)

Ukraine war: Satellite images show how hundreds of North Korean troops were likely transported to a secluded Russian port

A.

 

CNN —  Hundreds of North Korean troops were likely transported by sea to Russia to fight in its war against Ukraine, satellite images have revealed, according to a new analysis from a US-based think tank shared exclusively with CNN.

B.

At least two Russian naval ships are believed to have moved North Korean soldiers to a Russian military port in Dunai, in the far east, in October and November, according to researchers at the James Martin Center for Nonproliferation Studies at the Middlebury Institute of International Studies, in California.

The ship transfers were first identified by the South Korean National Intelligence Service (NIS), which said in a press release last year that some soldiers were transported via the North Korean port areas of Chongjin, Hamhung and Musudan. But the South Korean agency only offered a grainy radar image at the time.

C.

“I don’t think that the Russians or the North Koreans want these transfers caught on camera,” Sam Lair, a research associate at the Center for Nonproliferation Studies, told CNN. “The secrecy element is quite remarkable.”

Now, researchers have verified that during the same time period of the troop transfers reported by South Korea intelligence, the Russian vessels identified by the spy agency docked at Dunai port in a remote, eastern part of Russia.

D.

In North Korea, soldiers likely boarded these ships at night, making it difficult to capture evidence of the transfers, researchers said. But satellite images have revealed activities at Dunai, “where it appears the Russians have been less careful.”

For example, in one satellite image from Planet Labs, a crane can be seen extending to one of Russia’s naval landing ships, which researchers believe is the Nikolay Vilkov, at the port on October 17, and a covered cargo truck is on the dock next to it. By October 20, the crane is retracted, and it appears a transfer of soldiers is complete.

E.

Researchers could identify the Russian “Ropucha-class” and “Alligator-class” ships in the satellite images because they match with photos captured by the Japanese Defense Ministry in March 2022, when the vessels passed through Japanese waters.

Each landing ship is believed to have capacity to hold several hundred soldiers, possibly as many as 400, according to the researchers.

F.

Lair explained that Dunai is a secure military facility, making it much more conducive to under-the-radar transfers than the large, nearby port of Vladivostok, which is in an area where civilians live.

“This is an isolated place where they can do these exchanges, where people aren’t going to notice… (where) their own citizens, and folks in the intelligence community might not notice,” Lair said.

G.

An estimated 12,000 North Korean soldiers have been sent to Russia, according to Ukrainian officials and Western intelligence reports in January, which say around 4,000 of those troops have been killed or injured. Kyiv says it has captured at least two North Korean soldiers. Neither Moscow nor Pyongyang have confirmed the existence of North Korean troops on the front lines.

CNN has reached out to the Russian Ministry of Defense for comment.

H.

“The Russians seem to have been very careful to limit the exposure of the North Korean soldiers, moving them directly to military training facilities. The motive behind all the secrecy surrounding the North Koreans is uncertain, but moving some of them through Dunai would aid in that effort,” Lair wrote in his analysis.

Dunai port has previously been used to transport cargo between Russia and the North Korea since Pyongyang started aiding the invasion of Ukraine in 2023, according to the James Martin Center for Nonproliferation Studies.

สร้างและปรับแต่งใบงานสำหรับทุกห้องเรียน

LiveWorksheets ทำให้คุณครู ผู้ปกครอง และผู้สอนแบบโฮมสคูล สามารถออกแบบและมอบสื่อการเรียนรู้ที่น่าสนใจได้อย่างง่ายดาย เพียงอัปโหลดไฟล์ PDF หรือเริ่มต้นสร้างใหม่ทั้งหมด คุณก็สามารถทำได้ทุกอย่าง ไม่ว่าจะเป็นใบงานคณิตศาสตร์แบบโต้ตอบ ใบงานอ่านจับใจความ ใบงานการคูณ หรือใบงานสำหรับเด็กอนุบาล ด้วยขั้นตอนเพียงไม่กี่คลิก เครื่องมือแก้ไขแบบลากและวางของเรารองรับทุกระดับชั้นและทุกวิชา ช่วยให้คุณปรับเนื้อหาให้ตรงกับแผนการสอน การบ้าน หรือแบบทดสอบ ครูสอนภาษาอังกฤษ (ESL) ยังสามารถสร้างใบงาน ESL แบบเฉพาะ เพิ่มตารางเสียงภาษาอังกฤษ หรือออกแบบกิจกรรม ESL เพื่อให้การเรียนสนุกและมีส่วนร่วมมากขึ้น สร้างกิจกรรมที่ปรับระดับได้ ตรวจอัตโนมัติ ช่วยประหยัดเวลา และสนับสนุนการเรียนรู้ของนักเรียนให้ดียิ่งขึ้น

คลังสื่อการเรียนรู้ครบวงจรสำหรับ K-12 และ ESL

เข้าถึงใบงานที่พร้อมใช้หลายพันชุด ครอบคลุมทุกวิชาในระดับ K-12 รวมถึงใบงานอนุบาล ใบงานคณิตศาสตร์ แบบฝึกการคูณ แบบฝึกอ่านจับใจความ และทรัพยากร ESL เลือกค้นหาตามชั้นเรียน วิชา หรือระดับทักษะ เพื่อให้ได้สิ่งที่คุณต้องการ ไม่ว่าจะสำหรับห้องเรียนประถม ทบทวนในระดับมัธยมต้น หรือการฝึกในระดับมัธยมปลาย ครู ESL ยังสามารถสำรวจคลังใบงาน ESL และกิจกรรมภาษาอังกฤษที่ออกแบบมาเพื่อรองรับผู้เรียนทุกระดับ เนื้อหาใหม่ถูกเพิ่มเข้ามาอย่างต่อเนื่อง LiveWorksheets จึงเป็นทรัพยากรที่ยืดหยุ่นและช่วยสร้างผลลัพธ์การเรียนรู้ที่ยั่งยืน