Tag: Hope College

Staying active!

An interesting article about the benefits of being active.

I try and stay as active as I can mainly by bicycle riding. This article from The Conversation shows the importance of this. It is just a shame that they do not mention being old and active; as in being 80!

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Some pro athletes keep getting better as they age − neuroscience can explain how they stay sharp

Recovery and mental resilience support the development of neuroplasticity, which helps athletes like Allyson Felix stay sharp. AP Photo/Charlie Riedel

Fiddy Davis Jaihind Jothikaran, Hope College

In a world where sports are dominated by youth and speed, some athletes in their late 30s and even 40s are not just keeping up – they are thriving.

Novak Djokovic is still outlasting opponents nearly half his age on tennis’s biggest stages. LeBron James continues to dictate the pace of NBA games, defending centers and orchestrating plays like a point guard. Allyson Felix won her 11th Olympic medal in track and field at age 35. And Tom Brady won a Super Bowl at 43, long after most NFL quarterbacks retire.

The sustained excellence of these athletes is not just due to talent or grit – it’s biology in action. Staying at the top of their game reflects a trainable convergence of brain, body and mindset. I’m a performance scientist and a physical therapist who has spent over two decades studying how athletes train, taper, recover and stay sharp. These insights aren’t just for high-level athletes – they hold true for anyone navigating big life changes or working to stay healthy.

Increasingly, research shows that the systems that support high performance – from motor control to stress regulation, to recovery – are not fixed traits but trainable capacities. In a world of accelerating change and disruption, the ability to adapt to new changes may be the most important skill of all. So, what makes this adaptability possible – biologically, cognitively and emotionally?

The amygdala and prefrontal cortex

Neuroscience research shows that with repeated exposure to high-stakes situations, the brain begins to adapt. The prefrontal cortex – the region most responsible for planning, focus and decision-making – becomes more efficient in managing attention and making decisions, even under pressure.

During stressful situations, such as facing match point in a Grand Slam final, this area of the brain can help an athlete stay composed and make smart choices – but only if it’s well trained.

In contrast, the amygdala, our brain’s threat detector, can hijack performance by triggering panic, freezing motor responses or fueling reckless decisions. With repeated exposure to high-stakes moments, elite athletes gradually reshape this brain circuit.

They learn to tune down amygdala reactivity and keep the prefrontal cortex online, even when the pressure spikes. This refined brain circuitry enables experienced performers to maintain their emotional control.

Creating a brain-body loop

Brain-derived neurotrophic factor, or BDNF, is a molecule that supports adapting to changes quickly. Think of it as fertilizer for the brain. It enhances neuroplasticity: the brain’s ability to rewire itself through experience and repetition. This rewiring helps athletes build and reinforce the patterns of connections between brain cells to control their emotion, manage their attention and move with precision.

BDNF levels increase with intense physical activity, mental focus and deliberate practice, especially when combined with recovery strategies such as sleep and deep breathing.

Elevated BDNF levels are linked to better resilience against stress and may support faster motor learning, which is the process of developing or refining movement patterns.

For example, after losing a set, Djokovic often resets by taking deep, slow breaths – not just to calm his nerves, but to pause and regain control. This conscious breathing helps him restore focus and likely quiets the stress signals in his brain.

In moments like these, higher BDNF availability likely allows him to regulate his emotions and recalibrate his motor response, helping him to return to peak performance faster than his opponent.

Rewiring your brain

In essence, athletes who repeatedly train and compete in pressure-filled environments are rewiring their brain to respond more effectively to those demands. This rewiring, from repeated exposures, helps boost BDNF levels and in turn keeps the prefrontal cortex sharp and dials down the amygdala’s tendency to overreact.

This kind of biological tuning is what scientists call cognitive reserve and allostasis – the process the body uses to make changes in response to stress or environmental demands to remain stable. It helps the brain and body be flexible, not fragile.

Importantly, this adaptation isn’t exclusive to elite athletes. Studies on adults of all ages show that regular physical activity – particularly exercises that challenge both body and mind – can raise BDNF levels, improve the brain’s ability to adapt and respond to new challenges, and reduce stress reactivity.

Programs that combine aerobic movement with coordination tasks, such as dancing, complex drills or even fast-paced walking while problem-solving have been shown to preserve skills such as focus, planning, impulse control and emotional regulation over time.

After an intense training session or a match, you will often see athletes hopping on a bike or spending some time in the pool. These low-impact, gentle movements, known as active recovery, help tone down the nervous system gradually.

Outside of active recovery, sleep is where the real reset and repair happen. Sleep aids in learning and strengthens the neural connections challenged during training and competition.

A tennis player wearing all white hits a forehand
Serbian tennis player Novak Djokovic practices meditation, which strengthens the mental pathways that help with stress regulation. AP Photo/Kin Cheung

Over time, this convergence creates a trainable loop between the brain and body that is better equipped to adapt, recover and perform.

Lessons beyond sport

While the spotlight may shine on sporting arenas, you don’t need to be a pro athlete to train these same skills.

The ability to perform under pressure is a result of continuing adaptation. Whether you’re navigating a career pivot, caring for family members, or simply striving to stay mentally sharp as the world changes, the principles are the same: Expose yourself to challenges, regulate stress and recover deliberately.

While speed, agility and power may decline with age, some sport-specific skills such as anticipation, decision-making and strategic awareness actually improve. Athletes with years of experience develop faster mental models of how a play will unfold, which allows them to make better and faster choices with minimal effort. This efficiency is a result of years of reinforcing neural circuits that doesn’t immediately vanish with age. This is one reason experienced athletes often excel even if they are well past their physical prime.

Physical activity, especially dynamic and coordinated movement, boosts the brain’s capacity to adapt. So does learning new skills, practicing mindfulness and even rehearsing performance under pressure. In daily life, this might be a surgeon practicing a critical procedure in simulation, a teacher preparing for a tricky parent meeting, or a speaker practicing a high-stakes presentation to stay calm and composed when it counts. These aren’t elite rituals – they’re accessible strategies for building resilience, motor efficiency and emotional control.

Humans are built to adapt – with the right strategies, you can sustain excellence at any stage of life.

Fiddy Davis Jaihind Jothikaran, Associate Professor of Kinesiology, Hope College

This article is republished from The Conversation under a Creative Commons license. Read the original article.

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… “you can sustain excellence at any stage of life.” Even at 80 years old? 😉

Being wrong can be right!

Another very interesting post courtesy of The Conversation.

First of all, let me quote the opening two paragraphs from the WikiPedia entry on ‘intellectual humility’:

Intellectual humility is the acceptance that one’s beliefs and opinions could be wrong. Other characteristics that may accompany intellectual humility include a low concern for status and an acceptance of one’s intellectual limitations.

Intellectual humility (IH) is often described as an intellectual virtue. It is considered along with other perceived virtues and vices such as open-mindednessintellectual couragearrogance, vanity, and servility. It can be understood as lying between the opposite extremes of intellectual arrogance/dogmatism and intellectual servility/diffidence/timidity.

Now to the article that was published by The Conversation.

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The curious joy of being wrong – intellectual humility means being open to new information and willing to change your mind

Sometimes the evidence points you in a new direction. Schon/Moment via Getty Images

Daryl Van Tongeren, Hope College

Mark Twain apocryphally said, “I’m in favor of progress; it’s change I don’t like.” This quote pithily underscores the human tendency to desire growth while also harboring strong resistance to the hard work that comes with it. I can certainly resonate with this sentiment.

I was raised in a conservative evangelical home. Like many who grew up in a similar environment, I learned a set of religious beliefs that framed how I understood myself and the world around me. I was taught that God is loving and powerful, and God’s faithful followers are protected. I was taught that the world is fair and that God is good. The world seemed simple and predictable – and most of all, safe.

These beliefs were shattered when my brother unexpectedly passed away when I was 27 years old. His death at 34 with three young children shocked our family and community. In addition to reeling with grief, some of my deepest assumptions were challenged. Was God not good or not powerful? Why didn’t God save my brother, who was a kind and loving father and husband? And how unfair, uncaring and random is the universe?

This deep loss started a period where I questioned all of my beliefs in light of the evidence of my own experiences. Over a considerable amount of time, and thanks to an exemplary therapist, I was able to revise my worldview in a way that felt authentic. I changed my mind, about a lot things. The process sure wasn’t pleasant. It took more sleepless nights than I care to recall, but I was able to revise some of my core beliefs.

I didn’t realize it then, but this experience falls under what social science researchers call intellectual humility. And honestly, it is probably a large part of why, as a psychology professor, I am so interested in studying it. Intellectual humility has been gaining more attention, and it seems critically important for our cultural moment, when it’s more common to defend your position than change your mind.

What it means to be intellectually humble

Intellectual humility is a particular kind of humility that has to do with beliefs, ideas or worldviews. This is not only about religious beliefs; it can show up in political views, various social attitudes, areas of knowledge or expertise or any other strong convictions. It has both internal- and external-facing dimensions.

Within yourself, intellectual humility involves awareness and ownership of the limitations and biases in what you know and how you know it. It requires a willingness to revise your views in light of strong evidence.

Interpersonally, it means keeping your ego in check so you can present your ideas in a modest and respectful manner. It calls for presenting your beliefs in ways that are not defensive and admitting when you’re wrong. It involves showing that you care more about learning and preserving relationships than about being “right” or demonstrating intellectual superiority.

Another way of thinking about humility, intellectual or otherwise, is being the right size in any given situation: not too big (which is arrogance), but also not too small (which is self-deprecation).

male standing with mic, seated audience, in a casual business seminar
Having confidence in your area of expertise is different than thinking you know it all about everything. Morsa Images/DigitalVision via Getty Images

I know a fair amount about psychology, but not much about opera. When I’m in professional settings, I can embrace the expertise that I’ve earned over the years. But when visiting the opera house with more cultured friends, I should listen and ask more questions, rather than confidently assert my highly uninformed opinion.

Four main aspects of intellectual humility include being:

  • Open-minded, avoiding dogmatism and being willing to revise your beliefs.
  • Curious, seeking new ideas, ways to expand and grow, and changing your mind to align with strong evidence.
  • Realistic, owning and admitting your flaws and limitations, seeing the world as it is rather than as you wish it to be.
  • Teachable, responding nondefensively and changing your behavior to align with new knowledge.

Intellectual humility is often hard work, especially when the stakes are high.

Starting with the admission that you, like everyone else, have cognitive biases and flaws that limit how much you know, intellectual humility might look like taking genuine interest in learning about your relative’s beliefs during a conversation at a family get-together, rather than waiting for them to finish so you can prove them wrong by sharing your – superior – opinion.

It could look like considering the merits of an alternative viewpoint on a hot-button political issue and why respectable, intelligent people might disagree with you. When you approach these challenging discussions with curiosity and humility, they become opportunities to learn and grow.

Why intellectual humility is an asset

Though I’ve been studying humility for years, I’ve not yet mastered it personally. It’s hard to swim against cultural norms that reward being right and punish mistakes. It takes constant work to develop, but psychological science has documented numerous benefits.

First, there are social, cultural and technological advances to consider. Any significant breakthrough in medicine, technology or culture has come from someone admitting they didn’t know something – and then passionately pursuing knowledge with curiosity and humility. Progress requires admitting what you don’t know and seeking to learn something new.

animated people talking over a meal
Intellectual humility can make conversations less adversarial. Compassionate Eye Foundation/Gary Burchell/DigitalVision via Getty Images

Relationships improve when people are intellectually humble. Research has found that intellectual humility is associated with greater tolerance toward people with whom you disagree.

For example, intellectually humble people are more accepting of people who hold differing religious and political views. A central part of it is an openness to new ideas, so folks are less defensive to potentially challenging perspectives. They’re more likely to forgive, which can help repair and maintain relationships.

Finally, humility helps facilitate personal growth. Being intellectually humble allows you to have a more accurate view of yourself.

When you can admit and take ownership of your limitations, you can seek help in areas where you have room to grow, and you’re more responsive to information. When you limit yourself to only doing things the way you’ve always done them, you miss out on countless opportunities for growth, expansion and novelty – things that strike you with awe, fill you with wonder and make life worth living.

Humility can unlock authenticity and personal development.

Humility doesn’t mean being a pushover

Despite these benefits, sometimes humility gets a bad rap. People can have misconceptions about intellectual humility, so it’s important to dispel some myths.

Intellectual humility isn’t lacking conviction; you can believe something strongly until your mind is changed and you believe something else. It also isn’t being wishy-washy. You should have a high bar for what evidence you require to change your mind. It also doesn’t mean being self-deprecating or always agreeing with others. Remember, it’s being the right size, not too small.

Researchers are working hard to validate reliable ways to cultivate intellectual humility. I’m part of a team that is overseeing a set of projects designed to test different interventions to develop intellectual humility.

Some scholars are examining different ways to engage in discussions, and some are exploring the role of enhancing listening. Others are testing educational programs, and still others are looking at whether different kinds of feedback and exposure to diverse social networks might boost intellectual humility.

Prior work in this area suggests that humility can be cultivated, so we’re excited to see what emerges as the most promising avenues from this new endeavor.

There was one other thing that religion taught me that was slightly askew. I was told that too much learning could be ruinous; after all, you wouldn’t want to learn so much that you might lose your faith.

But in my experience, what I learned through loss may have salvaged a version of my faith that I can genuinely endorse and feels authentic to my experiences. The sooner we can open our minds and stop resisting change, the sooner we’ll find the freedom offered by humility.

Daryl Van Tongeren, Associate Professor of Psychology, Hope College

This article is republished from The Conversation under a Creative Commons license. Read the original article.

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Nothing more to add to this most interesting article.

Dogs and the mathematics of calculus.

A remarkable story about two very clever men and an equally clever dog!

Five days ago, I received an email from a Richard Hake quite out of the blue!  This is what it said,

Dear Paul Handover,

I’m taking the liberty of cc’ing this to Tim Pennings since he may be interested in your blog “Learning from Dogs.”
As founding author of the great blog “Learning from Dogs”, I thought you might be interested in the work of Tim Pennings.
Paraphrasing from the Hope College website:

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Tim Pennings is a professor of mathematics at Hope College and owner of a famous Welsh Corgi dog, Elvis, who knows calculus. He has given over a hundred talks – including several speaking tours – based on his papers “Do Dogs Know Calculus?” [Pennings (2003)] and “Do Dogs Know Bifurcations?” [Minton & Pennings (2007)]. Articles about Elvis are easily found on Google and Youtube. For example:
1. “A Dog, a Ball, and Calculus” Ivars Peterson’s MathTrek,
2. “Calculating Dogs” Ivars Peterson’s MathTrek ,
3. “Dog Plays Fetch With Calculus” YouTube (see below)
4. “Elvis The Calculus Dog at Roanoke College” Vime0 Videos.
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Regards,

Richard Hake, Emeritus Professor of Physics, Indiana University
Honorary Member, Curmudgeon Lodge of Deventer, The Netherlands
President, PEdants for Definitive Academic References which Recognize the Invention of the Internet (PEDARRII)

Well what fun!

Let me start with that YouTube video mentioned above:

Tim Pennings of Hope College in Madison, Wisconsin takes a look at the mathematics his dog Elvis uses to play fetch.

And here are a number of wonderful pictures of Elvis from which comes this one:

Elvis: Professor Tim Pennings' dog.

More may be learnt about Tim Pennings from here, from which I quote:

I am a professor of mathematics at Hope College. My areas of research and writing include dynamical systems (the shadowing property in particular), mathematical modeling, and the infinite. I have directed the Mathematics REU Site since 1995 and have mentored research students almost every year since 1990. A complete list of published papers, talks, and other professional activity is included in my vitae.

My interest in infinity stems from my intrigue with the rich stuff that lies in the confluence of mathematics, physics, philosophy, and theology. My paper, “Infinity and the Absolute: Insights into Our World, Our Faith, and Ourselves” is the backbone of my senior seminar course, Pondering the Big Questions. Several other math-theology papers, published in Perspectives include “A Life Lesson from Calculus” and “Haggai, Mathematical Dynamics, and the Nature of Good and Evil”.

I have a famous Welsh Corgi dog, Elvis, who knows calculus. Here are some pictures of us. We have given over a hundred talks – including several speaking tours – based on our papers “Do Dogs Know Calculus?” and “Do Dogs Know Bifurcations?” (written with Roland Minton) both published in the The College Mathematics Journal of the MAA. Articles about Elvis are easily found on Google and Youtube.

Finally, the author of the email, Richard Hake, is no slouch!  Here’s Richard’s Blog Hake’sEdStuff and information on his academic background.

Thanks, Richard, for getting in touch!