First, whether it’s FDR reassuring the nation through radio or Trump talking about hamburgers on Twitter, new technologies have always impacted American politics. Historian Jill Lepore walks us through the interactions between the machine of government and the tech we think can make that machine run better. Hint: it rarely works out as we anticipate.

Then, if you really, absolutely, can’t wait to know who’s going to end up on the Iron Throne… well, there’s a scientific reason you care so much about fictional characters. Scholar William Flesch explains what makes us so involved in shows like The Wire, All In The Family, and yes, Game of Thrones.

And finally, we hear from you. We got a lot of responses to our recent segment about the surge in extracurricular math programs for K-12 students. And we’ll hear why math is too often a stumbling block for students hoping to get college degrees.

There has been a continuous problem, dating back to founding of the United States, according to Jill Lepore, a professor of American history at Harvard University.

Lepore, the author of “These Truths: A History of the United States,” says Americans have had tremendous faith in the notion that technological innovations could heal our divisions and fix political problems. But that faith has frequently been misplaced or misguided. And ethical conversations around how to keep newspapers, radio, TV and other technologies in check, often come too late.

Finding out that Darth Vader is Luke Skywalker’s father probably didn’t have any practical implications for your life. It didn’t translate into a raise at work or help you lose 15 pounds. So why do we care so much about the fates of fictional characters? William Flesch is the author of the book “Comeuppance: Costly Signaling, Altruistic Punishment, and Other Biological Components of Fiction.” He argues that we root for good guys and gals because we love making bets on people. And, once we make those bets, it’s imperative that we are proven right.

First, it might be tough to keep up with your New Year’s resolutions - especially if they have to do with dieting. But here’s some good news: some fats may be a lot better for you than you think and calorie counting isn’t all it’s cracked up to be. We take a look at the latest developments in nutrition science, and explain what it all means for your waistline.

Then, we take a trip on the high seas and ask the question: How did America become such a dominant figure in global trade? As author Steven Ujifusa explains, you can thank some daring fortune hunters - and 19th-century clipper ships.

Next, if you open up your closet, you might notice your clothes aren’t much different from what your grandparents wore. Shirts? Check. Dresses? Check. Pants? Double check. But what if someone combined technology and clothing, like jackets that adapt to your body temperature? We meet the hackers who are doing just that.

When it comes to losing weight or maintaining a healthy diet, many of us have chosen to go either low-calorie or low-fat. But recent research has started to upend nutrition science, reframing our notions of “healthy” eating, according to Dariush Mozaffarian, a cardiologist and Dean of the Friedman School of Nutrition Science and Policy at Tufts University.

Mozaffarian explains why the science is changing, when a calorie isn’t just a calorie, how fat could be a lot better than we think, and why he believes that government should play a much bigger role in influencing our food choices.

Back in the mid-19th century, some American entrepreneurs sailed halfway around the world - to China - to make their fortunes. These merchants would later build dynasties back home by investing money in promising American industries, including railroads and coal, as well as new technologies, like the telegraph.

It was the invention of the clipper ship that made it all possible. These were ships that were built for speed and profit, a profit that came not just by importing goods like tea to the U.S., but also by smuggling opium to China.

We talk with Steven Ujifusa, a historian and author of “Barons of the Sea: And their Race to Build the World’s Fastest Clipper Ship,” about these vessels - which once raced across the ocean - and the owners who used them to reshape America.

Right now, there’s a wearable device for pretty much everything. Fitbits track your footsteps. Virtual reality headsets can transport you anywhere in the world. There’s even jewelry that lets others know when you’re in danger. But there isn’t much tech in the things we’re already wearing: clothes. We visit the Ministry of Supply, a company that’s trying to mix high-tech and apparel, and talk with the company’s founders, Gihan Amarasiriwardena and Aman Advani.

The New Year is often seen as a blank slate. It’s a way to start fresh and maybe accomplish those goals you’ve been putting off for the last 365 days. But how you learn is just as important as what you learn. Our show this week will get you ready to tackle whatever is on your agenda.

First, if you truly want to learn better, put down the highlighter. Author Ulrich Boser says strategies such as memorization and underlining passages in a book are outdated methods of studying. He proposes a six-step method to learning new skills, so that they truly stick.

Next, we take you back to 10th-grade Spanish class. Kind of. A new study pinpoints when language-learning skills start to decline - and what that means for aspiring hyperpolyglots.

Then, if you considered math to be a four-letter word when you were a kid... you’re not alone. But there’s now a program that might be able to engage kids in a new way. Innovation Hub Senior Producer Elizabeth Ross reports on the Russian School of Mathematics, an fast-spreading extracurricular offering that’s helping some students master advanced math.

You’ve probably experienced this: it’s high school, the night before an exam, and you’ve got a 500-page textbook in your left hand and highlighters in your right hand. You have highlighted all the important information in the book, and there isn’t a whole lot of white space left. Unfortunately, you’re not sure that you’ve absorbed any of the material in a meaningful way.

Turns out, there is little evidence that highlighting and underlining material in books is a good strategy for successful learning, according to Ulrich Boser, a senior fellow at the Center for American Progress, and the author of the book “Learn Better.” Boser talks to us about the science of learning, and how we can absorb information more effectively.

Learning a second language is tough. You have to consider grammar, pronunciation, and, sometimes, words that don’t even exist in your native language. And the conventional wisdom had been: if you want a child to learn a second language, start them as young as possible. But a new study has found that there’s a little more leeway than we originally thought. We talk with Boston College assistant psychology professor Joshua Hartshorne about his and his colleagues’ research and what it means for aspiring hyperpolyglots.