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Logic is intellectual self-defense against such assaults on reason and also a method of quality control for checking the validity of your own views. But beyond these very practical benefits, informal logic—the kind we apply in daily life—is the gateway to an elegant and fascinating branch of philosophy known as formal logic, which is philosophy’s equivalent to calculus. Formal logic is a breathtakingly versatile tool. Much like a Swiss army...
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Does the celebrated harmonic series diverge or converge? Discover a proof using the integral test. Then generalize to define an entire class of series called p-series, and prove a theorem showing when they converge. Close with the sum of the harmonic series, the fascinating Euler-Mascheroni constant, which is not known to be rational or irrational.
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This lecture examines the notion of the “self-made man” as it pervaded Gilded Age America. Investigate why this idea took on unprecedented popularity in the 19th century, how it was strongly promoted by figures from Horatio Alger to Andrew Carnegie, and explore how the ideal became entwined with social Darwinism..
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The era of Reconstruction following the Civil War was a turbulent and divisive period in American life. Learn about governmental policies and legislation that were enacted to safeguard the welfare of former slaves and average citizens, and how these policies were then progressively dismantled, ultimately returning the South to white-dominated rule..
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The huge growth of cities was a hallmark of the Gilded Age. Study the forces leading to massive urbanization, such as industrialization, migration and immigration, and revolutionary technologies. Then track the serious social problems that resulted, from crime and disease to political corruption, which spurred intense scrutiny from reformers..
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Take the measure of the new breed of multimillionaire industrialists that emerged in the Gilded Age as a visible public presence. Contrast the earlier American mindset of republican simplicity with the new rich who displayed and flaunted their wealth through vast estates and European-style aristocratic living..
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Learn the 24 letters of the Greek alphabet using the restored classical pronunciation, recognizing that there was some variation in pronunciation in the ancient world. Practice the pairings of vowels called diphthongs, and sound out a selection of words that you will soon be reading in sentences.
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Put your precalculus skills to use by splitting up complicated algebraic expressions to make them easier to integrate. Learn how to deal with linear factors, repeated linear factors, and irreducible quadratic factors. Finally, apply these techniques to the solution of the logistic differential equation.
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Learn why quadratic equations have "quad" in their name, even though they don't involve anything to the 4th power. Then try increasingly challenging examples, finding the solutions by sketching a square. Finally, derive the quadratic formula, which you've been using all along without realizing it.
10) ChatGPT
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Earlier this month, New York City public schools blocked access to the popular artificial intelligence tool ChatGPT. Educators are concerned that students could use this technology to write papers – the tool wasn't even a month old when a college professor in South Carolina caught a student using it to write an essay in philosophy class. Darren Hick of Furman University joins John Yang to discuss.
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Gloria Ladson-Billings revisits the eight teachers who were profiled in the first edition and introduces us to new teachers who are current exemplars of good teaching. She shows that culturally relevant teaching is not a matter of race, gender, or teaching style. What matters most is a teacher's efforts to work with the unique strengths a child brings to the classroom. --from publisher description
12) Blue-Bot
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Blue-Bot is a simple robot that can operate on its own or via Bluetooth controlled by an Android, iOS, Mac, or Windows device. Blue-Bot is transparent so that students can see all of the parts that make it work. Blue-Bot allows students to learn programming skills. Kits brought to you by grant funding of the PENCIL LP STEAM Lending Library. Recommended Grade Level: PK-2
13) My Powerful Hair
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Our ancestors say our hair is our memories, our source of strength and power, a celebration of our lives. Mom never had long hair, she was told it was too wild. Grandma couldn't have long hair, hers was taken from her. But one young girl can't wait to grow her hair long: for herself, for her family, for her connection to her culture and the Earth, and to honor the strength and resilience of those who came before her. From Carole Lindstrom, author...
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As a dog and his little girl go on their final walk together, he experiences the sights, smells, and wonders of this world one last time before peacefully passing on. But for such a good boy (oh yes, he is!) and his forever friend, that doesn't mean it's the end. Poignant, hopeful, and lovingly told, this dog's journey, told by the dog himself in his own unique words, proves that love abides beyond a lifetime, out of sight but never far away. Offering...
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Take a step back with Professor Davis to look at who Buddha actually was, as you explore the various meanings of "Buddha" across the various traditions of Buddhism. Looking at Buddha through the lens of Western examples, you'll gain a deeper understanding of how the meaning of "Buddha" is by no means restricted to a historical teacher, but rather an appellation that means "enlightened one."
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Consider how to put your knowledge of geology to use. Issues faced by your community may benefit from geologic insights about groundwater, watersheds, roadways, pollution, and historic questions such as abandoned mines and quarries. Practical geology will only grow in importance as the world deals with climate change, resource shortages, and the pressing need to live in harmony with the planet.