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James A. Garfield

James A. Garfield is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand James A. Garfield rather than just read about it. In short: James Abram Garfield (November 19, 1831 – September 19, 1881) was the 20th president of the United States, serving from March 1881 until his death in September that year after being shot in July. A preacher, lawyer, and Civil War general, Garfield served nine terms in the United States House of Representatives and is the only sitting member of the House to be elected president.

James A. Garfield — main illustration
James A. Garfield — illustration

Key takeaways

  • James A. Garfield belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect James A. Garfield to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of James A. Garfield from memory before moving on to harder problems.

Reference excerpt

James Abram Garfield (November 19, 1831 – September 19, 1881) was the 20th president of the United States, serving from March 1881 until his death in September that year after being shot in July. A preacher, lawyer, and Civil War general, Garfield served nine terms in the United States House of Representatives and is the only sitting member of the House to be elected president. Before he ran for president, the Ohio General Assembly had elected him to the U.S. Senate, a position he declined upon becoming president-elect. Garfield was born into poverty in a log cabin and grew up in northeast Ohio. After graduating from Williams College in 1856, he studied law and became an attorney. Garfield was a preacher in the Restoration Movement and president of the Western Reserve Eclectic Institute, affiliated with the Disciples. He was elected as a Republican member of the Ohio State Senate in 1859, serving until 1861. Garfield opposed Confederate secession, was a major general in the Union Army during the American Civil War, and fought in the battles of Middle Creek, Shiloh, and Chickamauga. He was elected to Congress in 1862 to represent Ohio's 19th district. Throughout his congressional service, Garfield firmly supported the gold standard and gained a reputation as a skilled orator. He initially agreed with Radical Republican views on Reconstruction but later favored a Moderate Republican–aligned approach to civil rights enforcement for freedmen. Garfield's aptitude for mathematics extended to his own proof of the Pythagorean theorem, published in 1876, and his advocacy of using statistics to inform government policy. At the 1880 Republican National Convention, delegates chose Garfield, who had not sought the White House, as a compromise presidential nominee on the 36th ballot. In the 1880 presidential election, he conducted a low-key front porch campaign and narrowly defeated the Democratic nominee, Winfield Scott Hancock. Garfield's accomplishments as president included his assertion of presidential authority against senatorial courtesy in executive appointments, a purge of corruption in the Post Office, and his appointment of a Supreme Court justice. He advocated for agricultural technology, an educated electorate, and civil rights for African Americans. He also proposed substantial civil service reforms, which were passed by Congress in 1883 as the Pendleton Civil Service Reform Act and signed into law by his successor, Chester A. Arthur. Garfield was a member of the intraparty "Half-Breed" faction that used the powers of the presidency to defy the powerful "Stalwart" Senator Roscoe Conkling from New York. He did this by appointing Blaine faction leader William H. Robertson to the lucrative post of Collector of the Port of New York. The ensuing political battle resulted in Robertson's confirmation and the resignations of Conkling and Thomas C. Platt from the Senate. On July 2, 1881, Garfield was shot by Charles J. Guiteau, a deluded office seeker. He died on September 19 from infections related to the wounds and was succeeded by Vice President Chester A. Arthur. Due to Garfield's brief term in office and lack of major changes during his tenure, historians tend to rank him as a below-average president or omit his name entirely from rankings, though some view Garfield's potential favorably, praising him for anti-corruption and pro-civil rights stances.

Childhood and early life

James Abram Garfield was born the youngest of five children on November 19, 1831, in a log cabin in Orange Township, which later became Moreland Hills, Ohio. Garfield's ancestor Edward Garfield migrated from Hillmorton, Warwickshire, England, to Massachusetts around 1630. James's father Abraham was born in Worcester, New York, and came to Ohio to woo his childhood sweetheart, Mehitabel Ballou, only to find her married. He instead wed her sister Eliza, who was born in New Hampshire. James was named after an earlier son of Eliza and Abram who had died in infancy. In early 1833, Abram and Eliza Garfield joined a Stone-Campbell church, a decision that influenced their youngest son's life. Abram died later that year, and James was raised in poverty in a household led by his strong-willed mother. He was her favorite child and the two remained close for the rest of his life. Eliza remarried in 1842, but soon left her second husband, Warren (or Alfred) Belden, and a divorce was awarded in 1850. James took his mother's side in the matter and noted Belden's 1880 death with satisfaction in his diary. Garfield also enjoyed his mother's stories about his ancestry, especially those about his Welsh great-great-grandfathers and an ancestor who served as a knight of Caerphilly Castle. Poor and fatherless, Garfield was mocked by his peers and became sensitive to slights throughout his life; he sought escape through voracious reading. He left home at age 16 in 1847 and was rejected for work on the only ship in port in Cleveland. Garfield instead found work on a canal boat, managing the mules that pulled it. Horatio Alger later used this labor to good effect when he wrote Garfield's campaign biography in 1880. After six weeks, illness forced Garfield to return home, and during his recuperation, his mother and a local school official secured his promise to forgo canal work for a year of school. In 1848, he began at Geauga Seminary, in nearby Chester Township, Geauga County, Ohio. Garfield later said of his childhood, "I lament that I was born to poverty, and in this chaos of childhood, seventeen years passed before I caught any inspiration ... a precious 17 years when a boy with a father and some wealth might have become fixed in manly ways."

Education, marriage and early career

… excerpt ends here. Continue reading the full article.

Illustrations

James A. Garfield illustration
James A. Garfield: Replica of the log cabin in Moreland Hills, Ohio, where Garfield was born
Replica of the log cabin in Moreland Hills, Ohio, where Garfield was born
James A. Garfield: Garfield at the age of 16
Garfield at the age of 16
James A. Garfield: Lucretia Garfield in the 1870s
Lucretia Garfield in the 1870s
James A. Garfield: Garfield as a brigadier general during the Civil War
Garfield as a brigadier general during the Civil War

Worked examples

Example 1 — a first encounter with James A. Garfield

Start with the simplest possible case. Write down what James A. Garfield claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to James A. Garfield before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about James A. Garfield ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of James A. Garfield

In research
James A. Garfield appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses James A. Garfield in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
James A. Garfield is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1831 births, 1881 deaths, 19th-century American lawyers, so understanding it makes those chapters shorter.
In everyday life
Look for James A. Garfield outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study James A. Garfield in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what James A. Garfield means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain James A. Garfield out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is James A. Garfield in simple terms?

James Abram Garfield (November 19, 1831 – September 19, 1881) was the 20th president of the United States, serving from March 1881 until his death in September that year after being shot in July. A preacher, lawyer, and Civil War general, Garfield served nine terms in the United States House of Rep…

Why does James A. Garfield matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study James A. Garfield?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on James A. Garfield.

Tags

  • 1831 births
  • 1881 deaths
  • 19th-century American lawyers
  • 19th-century American mathematicians
  • 19th-century Disciples of Christ
  • 19th-century United States representatives
  • 19th-century members of the Ohio General Assembly
  • 19th-century presidents of the United States
  • Abolitionists from Ohio
  • Activists for African-American civil rights
  • Amateur mathematicians
  • American Disciples of Christ

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