【推荐2】All routes to STEM (science, technology, engineering and mathematics) degrees run through calculus (微积分) classes. Each year, thousands of college students take introductory calculus. But only a small number ultimately complete a STEM degree, and research about why students abandon such degrees suggests that traditional calculus courses are one of the reasons. With scientific understanding and innovation increasingly central to solving 21st-century problems, this loss of talent is something society can ill afford.

Math departments alone are unlikely to solve this dilemma. Several of the promising calculus reforms were spearheaded by professors outside of math departments. STEM faculty are prioritizing cooperation across disciplines to transform math classes to cultivate a diverse generation of STEM researchers and professionals.

This is not uncharted territory. In 2013, life sciences faculty at the University of California, Los Angeles, developed a two-course sequence that covers classic calculus topics, but also emphasizes their application in a biological context. Creating this course, Mathematics for Life Scientists, wasn’t easy. The life sciences faculty involved, none of whom had a joint appointment with the math department, said they turned to designing the course themselves after math faculty rejected their request for cooperation.

In Ohio, Wright State University’s Engineering departments also revised math offerings. Rather than changing the content of the calculus course, they focused on preparing students for calculus by emphasizing “engineering motivation for math.” The approach enhanced opportunities for students with weaker math backgrounds to succeed in engineering and doubled the average graduation rate of engineering students without reducing the average grade of graduates. Math learning is fundamental to all STEM fields, but the opposite also appears to be true.

【推荐1】Do you have a suit or dress in the closet that you haven’t worn for years but are reluctant to get rid of? Maybe you say, “I can’t throw that away because I paid good money for it?”. If you recognize this in yourself, then you are suffering from commitment to the sunk cost fallacy (谬论). It occurs when we feel that we have invested too much to quit. This psychological trap causes us to stick with a plan even if it no longer serves us and the costs clearly outweigh the benefits.

Arkes and Blumer conducted a survey showing that people are influenced by sunk cost fallacy in their decisions. Participants imagined spending $100 on a ski trip to Michigan and $50 on Wisconsin, realizing later they were for the same weekend. They were told Wisconsin would be more enjoyable. When asked which trip to take, 54% chose Michigan despite the reasonable choice being Wisconsin, because they had made a greater initial investment.

Sunk cost fallacy takes place when we let emotions cloud our decisions. Once we’ve invested in a choice, we feel guilt or regret if we don’t follow through. We fail to realize that past costs won’t be recovered. Instead, we base decisions on past costs, ignoring present and future costs and benefits. This may be due to loss aversion (厌恶), where losses feel worse than gains. We avoid losses, making choices based on avoiding the “loss” of our past investment instead of considering the benefits gained if we don’t continue our commitment.

No one can deny the fact that we benefit a lot from perseverance. So our society loves to emphasize perseverance. Never give up! Don’t waste. But only you know the right path for you. Sometimes walking away is the hardest choice of all. You might realize a path you’re on is no longer the right one or never was. That’s a painful realization.

【推荐3】A comment from Zadie Smith caught my attention this week. Asked whether she had ever considered recording an album, the novelist responded, “I have a dream of having a Café Carlyle residency in New York in my 80s.” Here she is at the height of her success dreaming of a career Plan B just like the rest of us!

Weird Plan Bs fascinate me because for years I had one of my own. Despite being perfectly happy in my chosen profession, I had long harboured the fantasy of becoming a photographer and I took a lockdown leap and applied to art school to acquire some actual skills.

Has it brought me fame and riches? Not as yet. Like many people who dream of having a go at something different, I was focusing on creative fulfilment rather than my future finances. By the time I graduated in 2022, my dream of running a portrait photography business was looking a lot less practicable—in part thanks to AI head-shot generators.

If only I had had a little more Fobo, also known as the fear of becoming out-of-date. This workplace trend is an updated version of Fomo—the fear of missing out, which now feels like a poignant (辛酸的) throwback to more optimistic times. 22% of workers are worried that technology will put them out of a job. And who can blame them?

There is another reason that nurturing an alterative career might be risky. Research indicates that having a back-up plan can work against you. Having a Plan B as a safety net can cause people to make less effort at their day job and — unhelpfully — run a greater risk of losing it.

So, do I regret pursuing my Plan B? Not at all — hopefully I’ve got a few years before robot photographers take over the world, and I currently spend a day a week on photography. My only sorrow is something unexpected. For so many years. I had the fantasy of trying something new. My “someday” ambition sustained me through dull and boring days. But now I’m actually spending some of my week doing it, which has caused empty space in my life. It made me realize that having an alternative career to dream about is in itself sustaining and comforting. You might never do it, and that might not even matter. So, if you’ll excuse me, I need to go and start working on my Plan C...