This Week in Math Madness: Eulerian Circuits

This week we picked up from last week’s last activity. If you recall, we left with some diagrams that we tried to trace using a continuous path without backtracking.

We tried a number more examples of this activity:

Remember the rules:

  • Try to get to every point (also called a node)
  • Use one continuous path
  • Do not retrace any edge already traversed

Can all of them be done? Does it matter which point you start from? How, in some ways, are some of these shapes similar to others?

After some practice with these shapes, I played this video from Numberphile about Euler and the bridges of Konigsberg:

As it turns out, what we’ve been doing is a fundamental part of graph theory called Eulerian circuits. The video gave us some key insights Euler came to about these circuits. They should help with the challenge puzzle I left at the end:

This puzzle actually has a neat story behind it. According to Daniel Finkel:

A less obvious version comes from the Kuba children in the Congo, who took this puzzle much, much farther. The story, related by anthropologist Emil Torday, goes like this: the children were drawing complicated networks in the sand. When they saw Torday, they challenged him to draw the pictures in the sand without picking up his finger or drawing the same stretch more than once.
“The children were drawing,” said Torday, “and I was at once asked to perform certain impossible tasks; great was their joy when the white man failed to accomplish them.”

Goes to show you that mathematical insight comes from all sorts of places!

This Week: 2020 Election, WWII Planes, Art All Night

Just wanted to give a heads up to local folk about some interesting things happening this week. I don’t plan to do this with any regularity, but it so happens that a lot of interesting stuff will pop up soon.

Frontline on PBS is giving a handy breakdown of the choice between the two presidential candidates in this year’s election. It’s airing on WETA tonight at 9 pm.

This is the first week of DC Art All Night, a virtual showcase of artists and arts venues in the District. The Korean Cultural Center is highlighting the multimedia artist Yaloo.

And on Friday morning, a caravan of World War II planes are commemorating the 75th anniversary of the end of WWII with a flyover starting in Virginia and going into the DC over the Mall. More information and livestream links are at the event website.

Oh, and if you attend my church, don’t forget that there’s a town hall meeting Friday night. Check the church newsletter.

For more regular and excellent recommendations for local families, check out Kid Friendly DC.

This week in Math Madness: Basketball

We have a new name! Mina suggested Multiplication Madness — I think she was a little occupied with memorizing her multiplication tables last week — and we agreed that Math Madness was a little more generalizable and retained the nice alliteration.

I recently heard a Planet Money podcast episode that reminded me of last week’s session, and so I decided we should discuss it in today’s session.

I first presented this graph and talked about what information it tells us:

What does the horizontal axis explain? What are the numbers on the vertical axis? 3PA means “3-Point Attempts.”

1979 is when the NBA implemented the 3-point shot rule. What do you think accounts for the steady and steep rise of 3-point shot attempts? Why did it start so small, and why is it so large now? Do you think it will continue to get larger? Forever?

What new information does this graph tell us? What do you think are “mid-range” shots? Why do you think they went down over time while 3-point attempts rose? Do mid-range and 3-point attempts account for all the shot attempts? Why is the vertical axis in decimals less than 1?

“FGA” stands for Field Goal Attempts. Field goals are any shots but free throws. (Free throws, it turns out, have their own interesting math.)

Here’s a variation on a game we played last week. Again, vowels (including Y) get 5 points, and consonants get 1 point. In this game, everyone takes turns and offers a word. If that word does not have a higher point value than the previous word, you get eliminated.

What words would survive in later rounds in this game? In other words, what kind of words have a really high point value? Is it just words with a lot of letters? Can you think of a word that has a lot of letters that actually has a pretty underwhelming point value?

We talked about how, just like vowels in my made-up game, 3-point shots have an artificially high value.

By the way — in the first graph, why do you think there is a bump in the middle of it?

It turns out, in 1994 the NBA shortened the distance of the 3-point line from about 24 feet to about 22 feet. It then moved it back to the original distance after a few years.

Why would that make such a significant difference in 3-point-shot attempts? What does it tell us about the rise of those attempts over the years?

What does this graph tell us? Shooting percentage is the percentage of shots you successfully make. Why do you think this percentage is so high at first? After a precipitous drop-off, it seems to level out — what does that tell us? At the end, it drops off again — at what distance does that happen?

Remember, the 3-point line is about 24 feet away from the basket.

How is this graph different from the previous one? Notice the vertical axis — it’s not in percentages here; it’s in points. The plot looks pretty much identical to the previous graph up until around the 3-point line. Why is that? What does that tell us about the value of the 3-point shot?

Here’s another visualization of data. What do the colors mean? What would happen if we took out the colors?

What information is removed when we take out the colors? Is any information perhaps clearer to see without the colors? Which do you prefer — why?

Each dot represents a shot taken in the 2014-15 season. Where are the most shots taken? Where are less shots taken? Notice there is a white band around the 3-point line (and behind the basket). Why is that?

Notice how this new visualization tells us similar information as a previous graph but actually adds another dimension of insight. What areas of the court seem like particularly good opportunities to take shots? Lots and lots of teams in the NBA are specifically training players hard on the corner 3’s.

Do you notice any discrepancies in the data between the line plot and court map? Why would that be?

Does this new visualization tell us anything more? Does it tell previous insights better? What is it about how the court map is designed that enhances its clarity?

We ended this discussion with a consideration of the implications of all of this. Does the value of the 3-point-shot improve basketball? Is it now to the point that it’s detracting from the sport? Some people think it is. What are some ways that the NBA can fix this problem (if it is one)?

One of our attendees shared how they played a version of basketball that allowed another team to play very physically and dominate games that way. That was a good example of how structural allowances incentivizes certain behaviors. I had to restrain myself from talking on and on about the Detroit Pistons in the 80s.

We then transitioned into a more interactive activity. Here’s a simplified diagram of a basketball court:

Can you trace the entire diagram without backtracking or lifting your finger? What’s the minimum number of times you have to lift your finger?

What about this tennis court diagram? Is it harder or easier to do? Do you need lift your finger more or less? Does it matter where you start? Are there any strategies you can develop to minimize getting stuck?

I mentioned the artist Tyler Foust, who specializes in making intricate drawings using only one continuous line. Here’s a video of him at work that I wasn’t able to share because of technical difficulties:

Finally, we ended with this basketball poem by Edward Hirsch. Notice that it’s all one sentence, which gives its this breathless momentum.

Some optional follow-up activities:

  • What sports are you into? Have you thought about that sport’s rules? What are the weirdest ones? Why do they exist? How do they shape players’ behavior?
  • Look for (or make up) more drawings that you can trace. Which ones are impossible to do in a continuous line? Why?
  • Challenge yourself to draw something using only one continuous line. Can you make a happy face? What about an emoji?

Here are a list of links and resources I used for the session:

The Indicator from Planet Money. “The Science of Hoops.” https://www.npr.org/2020/09/11/911898347/the-science-of-hoops

Zach. Kram. “The 3-Point Boom is Far from Over.” https://www.theringer.com/nba/2019/2/27/18240583/3-point-boom-nba-daryl-morey

Kirk Goldsberry. “How Mapping Shots In The NBA Changed It Forever.” https://fivethirtyeight.com/features/how-mapping-shots-in-the-nba-changed-it-forever/

Stephen Shea. “The 3-Point Revolution.” https://shottracker.com/articles/the-3-point-revolution

Kirk Goldsberry. “The NBA is obsessed with 3s, so let’s finally fix the thing.” https://www.espn.com/nba/story/_/id/26633540/the-nba-obsessed-3s-let-fix-thing

“Three Ideas for Remaking the Three-Point Shot.” https://www.wired.com/2016/06/three-ideas-remaking-three-point-shot/

“How the ‘4-point line’ and other court markings are changing the NBA.” https://www.espn.com/nba/story/_/id/25559428/the-4-point-line-just-beginning-nba-latest-trend

Twisted Sifter. “Tyler Foust Makes Wonderful Illustrations Using One Continuous Line.” https://twistedsifter.com/2020/04/continuous-line-illustrations-by-tyler-foust/

Tyler Foust. “Berkeley Bear One Line by TFoust10.” https://www.youtube.com/watch?v=a1EGKroO1kk

Edward Hirsch. “Fast Break”. https://www.loc.gov/poetry/180/109.html

This week in Math Club: Names

At our first Math Club session we started off with an activity around our names. Everyone shared the name they wanted to be referred to, spelled as they wanted, and then transformed that name into a number using the following rules: vowels get 5 points, consonants get 1 point, and add up the sum.

We then tried to guess which name corresponded to which number. I suggested that a robot would probably solve this puzzle by brute force, but a lazy mathematician would first want to use logic to make some educated guesses.

How does knowing whether the number is odd or even help?

Would this challenge be more or less difficult if, instead of adding the points, you multiplied them?

We then did a variation of this challenge, where each letter of the alphabet gets a unique number:

Do our previous strategies translate to this variation?

The kids noticed that certain repetitions and patterns in the words made it easier to guess their corresponding numbers.

Homework (optional):

  • Think of a better name for Math Club
  • Find out who Larry, Moe, and Curly are
  • Find out who Myxlplyx is

Catechized

The Westminster Shorter Catechism was my gateway into Reformed theology. Aaron Messner (now pastor of Westminster Presbyterian Church in Atlanta) led a small and short-lived study on the WSC while I was at Tenth Presbyterian in Philadelphia. That study left an indelible impression on me as to the systematic cohesion and Scriptural embedment of the Reformed approach. It made me realize that good theology not only justified or exposited bits of the Bible, but also opened up the Bible as a whole, unlocking how it interprets itself.

I’ve recently begun to enjoy the Catechized podcast, hosted and produced by two current members of my church, Josh Harstine and Jon the Divine (not his real name). They go through the Shorter Catechism question-by-question, unpacking in depth the theological concepts and Scriptural truths in each. Though they’re not afraid to go into the weeds, Josh and Jon’s friendship and banter keep the tone light-hearted and accessible. Great if you feel like you need to be catechized just as much as your kids (and who doesn’t?).

Math Club

One of the unexpected blessings of the pandemic has been the proliferation and availability of online seminars. I’ve personally enjoyed a number of these but have been particularly taken by the math groups for kids and families. These are usually like an online version of math circles or math clubs, a space for individuals to puzzle out interesting math challenges or phenomena.

Here’s a couple of the ones I’ve participated in (and recommend):

Math Mondays

Julia Robinson Math Festival Webinar Series

National Museum of Mathematics’ online events

Math at Home with Raj Shah (Youtube)

Inspired by these groups, I’ve decided to host one of my own, for local homeschoolers. There’s plenty of resources out there, including problems and sessions from the mentioned groups. Here’s a couple more links promoting math circles:

MathCircles.org

Mathematical Circles Topics

United Math Circles Foundation (an umbrella group for several renowned math circles around the San Francisco Bay area)

Here are two math circles local to the DMV area. They both are geared more to older (middle school and up) students who have a serious interest in math and math competitions:

Fairfax Math Circle

DC Math Circle

What’s most important, though, is having the right attitude. I’m hoping that hosting this math club will encourage some kids (including my own) to see some fun in math and enjoy its intrinsic rewards.

Morning Routines

Planning ahead, I’m thinking about how I’d like to structure the day. To start: mornings.

Here’s a bullet list of some common suggestions for morning routines (see resources at end of post):

  • Prepare the night before
  • Get a good night’s rest
  • Wake up before everyone else to give yourself some time for reflection and mental preparation
  • Ban electronic distractions
  • Exercise (or don’t — maybe some light exercise to get the blood flowing, but save the real workout after your morning push)
    • Stretch out your back by hanging from a pull-up bar
  • Hydrate with water and/or tea/coffee
  • Have a breakfast high in protein; avoid processed foods and sugar
    • Provided a limited menu of food options
    • Keep energy up later with a snack
  • Start with good spirits: music, meditation, fresh air, something energizing
  • Connect with your loved ones
    • Possibly with a morning meeting
    • Talk, set goals, determine the day’s agenda
    • Sing a song
  • Take advantage of the focus that morning brings: Read aloud, priority work
  • Encourage kids to be independent
    • Give them a chart or checklist to help structure what they need to do
    • Help them with organizational cues (labeled bins, cubbies, personalized hooks)
  • Manage your expectations

I’m an early riser, and I relish the short stretch of solitude that gives me. I like the idea of not picking up the phone and instead doing some stretches, reflection, a cup of tea or coffee.

Laundry. With five-plus people, I’ll need to put in a load every day.

Mornings for the rest of the family will probably start with breakfast. In our new place, I hope to have a slowly increasing repertoire of healthy breakfast options. Until then, the kids might eat a lot of cereal before I feel comfortable cutting off that option.

One thing I feel strongly about is the importance of sleep for kids. I’m a stickler for sending kids to bed early, but I generally let them wake up whenever.

I like the idea of a morning meeting. It doesn’t have to be a formal circle time — just an expected chat over breakfast. What do you want to do today? What do you want to work on? What do you want to learn about? What are you looking forward to (or dreading)? What are your priorities?

Family devotion. I read a chapter from the Bible, and then we go over a passage from Training Hearts, Teaching Minds. We look up the suggested prayer from Compassion International, and I close in prayer.

I’d then transition into a discussion of the bedtime reading from the night before.

That, in my mind, is where the morning routine stops because the possibilities now begin to fork. We could take a field trip, log in to virtual classes, or tackle a block of academics. We could get sidetracked or upstaged.

Morning routines shouldn’t feel obsessive, just familiar. They should be a well-worn groove that sets the momentum to launch the rest of the day.

Routines are the way your young child tells time. That’s what breaks up the day for them. Routines become kind of like safe islands of understanding. When kids have them, they’re as smart as anyone at the table.

Dr. Harvey Karp

Some links to articles I found interesting or useful:

Loop Schedule for Morning Time: https://pambarnhill.com/loop-schedule-for-morning-time/

10 Morning Routines to Get Your Homeschooled Kids Up and Moving: http://simplehomeschool.net/morningroutines/

10 Tips for a Smoother Morning Routine with Your Kids: https://www.mommynearest.com/article/10-tips-for-a-smoother-morning-routine-with-your-kids

How to Wake Up Feeling Motivated: 8 Tips for Implementing an Effective Morning Routine: https://www.thoughtco.com/how-to-wake-up-feeling-motivated-4149423

Tackle a Challenge: Morning Routine: https://primary.community/tackle-challenge-morning-routine

Time of Day Matters. Here’s How to Make the Most of Mornings with Kids: https://tinkergarten.com/blog/time-of-day-matters-heres-how-to-make-the-most-of-mornings-with-kids

5 Morning Rituals That Help Me Win the Day: https://tim.blog/2015/09/18/5-morning-rituals/

Morning Meetings in Middle and High School: https://www.edutopia.org/article/morning-meetings-middle-and-high-school

This Morning Routine will Save You 20+ Hours Per Week: https://medium.com/thrive-global/this-morning-routine-will-save-you-20-hours-per-week-353861ddca74

I’ve Interviewed 300 High Achievers About Their Morning Routines. Here’s What I’ve Learned.: https://www.nytimes.com/2018/10/21/smarter-living/tips-better-morning-routine.html

Master Your Morning Routine: 8 Ways to Win Before Others Begin.: https://whywhathow.xyz/morning-routine-win-before-others-begin/

P2

I’m sort of in a weird place right now. Well, I say that as a state of being distinct from the weird state of being all of us are in right now because of this dumpster fire of a year.

Our lease ended in the middle of the pandemic lockdown, and we’re in the middle of a new home construction… and so for the past several months we’ve been bunking with my in-laws.

They’ve brought up in the past the possibility of me also homeschooling their 7-year-old son, and I’ve been working up to being more and more comfortable with that scenario. Now that we’ve all been living together, I’ve essentially eased him into my homeschooling program.

As the summer has wound down, I’ve been trying to work out how I would change homeschooling for this new season. Not only would I have another kid, I’ve also offered to include his 5-year-old sister. And we would be in a new house: larger quarters, new location.

But the house is still not done. And everything is a little different now because of the coronavirus pandemic. And all my stuff is in storage… until the house is built, but then it would still all be in boxes.

So I’m in a weird place.

Which brings me to P2 — WordPress’s new blog template designed for team communication. Apparently, Auttomatic (the company behind WordPress) has been using it themselves for a while. It features @ tagging of teammates, real-time messaging, and embedding of documents and images. It’s not as robust or slick as Slack or Basecamp, but it looks like a pretty good (and free) tool for small groups.

I’m going to try it for homeschooling. Ideally, it would be a good place for everyone — the parents, the kids, even extended family — to share, comment, and communicate with one another on a private intranet. I’ll be able to post what activities we’ve done. The kids can share work they’ve done or art they’ve made. Other parents can post encouragements or interesting articles. We can even post memes or jokes.

I’ve become more and more concerned about my kids’ online privacy and safety, and I guess this is kind of like a gated virtual lawn where I can keep more of an eye on their activity. I think it’s worth trying out. I hope it works out.

Putting Together a Prayer

I first heard about Matthew Dicks on The Gist when he came as a recurring guest to give short lessons on storytelling. He has since started his own podcast, Speak Up Storytelling, based on his storytelling workshops.

On a recent episode of his podcast, he talked through his storytelling process from ideation to revision, step-by-step. It’s really a remarkable episode, and I love anatomies of process; you should really give it a listen.

Recently, I was asked to do something similar regarding my occasional prayers as an elder at my church. I guess I have a hyper-local infamy regarding these somewhat florid invocations (there I go again), and a few want to know how I come up with these things. For their edification, and for my own reflection on my process, I offer this over-long post.

[Note: I know not every reader of this blog shares my faith. The very nature of this entry makes it both about writing and about spirituality. Just so you know.]

I usually start with what things I already know.

  • I try to confine my prayer to about a typewritten page, double-spaced.
  • I’m given the theme of the prayer ahead of time; the elders rotate through praying about pillars of our church’s mission, and my next turn will be about “philanthropy.”
  • Our senior pastor has recommended that we include in our prayers an exhortation to members derived from Titus 2:1; for my topic my suggested exhortation goes, “We ask our members to fulfill their area of service and to do this with all their might. Unless each party of the body….”
  • At the tail end of the prayer, I include some specific entreaties that have recently become relevant in the congregation. I know I’ll probably mention issues of health, financial difficulty, and mental distress.

I’ve patterned my prayers after the ones I heard as a congregant at Tenth Presbyterian Church in Philadelphia. I’ve always admired their psalmic quality, how they stood at an intersection of theological explication and confessional unbosoming. I think an ideal corporate prayer expresses both the mind of the congregation and the truth of God’s Word.

So then my first guiding question is: What might be the questions, thoughts, anxieties, misunderstandings, celebrations, etc. around the topic within my church right now? Two prepositions and an adverb set the parameters for this question. I’m confining myself to my given topic (philanthrophy). I’m considering my specific parish. And I’m minding the immediate context.

In the past, I explored how the term “philanthropy” might be misconstrued and that it has a certain definition within our church’s mission, and I also considered how it might be difficult to serve given constraints on time and other resources.

By the time I pray (as a church elder) next, our area will be facing a peak of Covid-19 admissions. Easter would have passed. A good chunk of our congregation works in government, another good chunk works in healthcare. There are a number of singles in our church, as well as members with parents whom they are physically separated from. Most everyone would have been in isolation, confined with their families or roommates or just themselves, for almost a month. I sense stoic strength but also angst and sadness. I also sense a kind of restlessness, a desire to be more active or emotional, a yearning for catharsis maybe.

In this context, the notion of “philanthropy” might seem like too weak a word, too passive a gesture. It sounds like throwing money at a problem or making only the slightest overture of care, whereas in the past the term “philanthropy” might have seemed grandiose. That feels like a good starting place to me. I can go in a lot of other directions, but it’s better to stick to one main idea that seems deep and relevant.

My next guiding question is: How does Scripture speak to these thoughts? This question usually breaks down for me into three corollaries: “What is our sinfulness?,” “Who is God?,” and “What hope does the gospel give?”

By the sinfulness inquiry, I don’t mean to imply that having concerns is sinful. Instead, I want to reflect on how our concerns reflects our mortal limitations, immanent temptations, and spiritual desires.

Well, I think we have the ultimate helplessness of the human condition — and the natural desire for control and significance. There is also a desire for closure, for satisfaction, to see good and right triumph over suffering. And there is a profound denial that instead of the solution, we are the problem, and it sometimes takes massive systemic failures for us to realize how foolish, small-minded, and short-sighted we are.

In contrast, Scripture tells of a God who is all-powerful, sovereign over time and creation. His will is absolute; His word is efficacious. Easter celebrates His triumph over death and sin. And His philanthropy was one of covenant-keeping through revelation, sacrifice, and promise. He forms, through improbable candidates, ambassadors of His redemption.

Which leads us to the Gospel. The good news of Easter is that of a catharsis already achieved. After eons of frustration and experimentation with idols, ages of slavery under laws both worldly and godly, generations of anticipation of a promised hope, God provides a lamb for our atonement, which turns out to be a lion for our worship. Under His aegis we have the righteousness, power, and blessing to enact a kingdom reality in a still-fallen world. What we do in God’s name gets magnified in an eternal dimension.

Those last couple of paragraphs, I should say, took a while to write, with a lot of pacing around. All of this takes some time and reflection; nothing is as easy as it looks. And when I usually do this, I don’t actually write it all out; I just scribble notes on scraps of paper.

Do I have a prayer yet? No. I have some direction and some material, but there’s still a lot of shagginess here. I need to now hunker down and try to crystallize what I have into something with a beginning, middle, and end.

Beginning. I always start by writing out my introductory patter — just because it’s pretty easy to do, and it gets a little momentum going.

Hi, I’m Tom. I’m an elder here at NewCity, and this week we’re going to pray on our church’s mission of philanthropy. While we’re all shuttered up inside our homes, we may feel stymied from serving each other. We may even feel helpless or hopeless in the face of such enormous changes. Let’s pray through those fears.

This is slightly different from how I usually start; I want to address the atypical context of this prayer. It also hints at the theme to come.

Now to start. How do I want to address God? I think here I want to emphasize Christ in his incarnation and victory.

Dear Lord, you came into a world frustrated in its fallenness, a world emasculated in sin. You took on our darkness and disease and frailty and let it suffocate you on the cross. But on the third day, you broke free, and our chains fell away.

I tend to write slowly, picking my way through diction, feeling out the sound of phrases in my mind. I’m a sucker for alliteration, like the F’s in “frustrated…fallenness…frailty…free.” “Emasculated” is a powerful, almost shocking, word that emphasizes our crippled agency. “Disease” and “suffocate” are nods to the pandemic. I have to be careful not to be too heavy-handed with such allusions.

I think there’s a rhetorical opportunity with “But on the third day.” It feels a little bit like a gospel call-out, and repeating the phrase might build its effect. But if I’m going to repeat it, what concepts do I want to fold into it?

You suffered in a mortal body — wept, grew tired, grew hungry — let it break, let it bleed, let it die. But on the third day, you rose and greeted us with open arms, in a body still scarred by your sacrifice.

You were left utterly alone, abandoned by your disciples, rejected by your people, separated from yourself, the face of the Father turned away. But on the third day, you gathered back your flock, one by one, calling to each who would hear, forming them into a church.

So I chose how Christ suffered and conquered bodily then socially because these are the prevailing anxieties of our current climate. I’m starting to pile on short phrases and clauses to extend sentences because they’re useful in building up rhythm and tension.

The drama I’m building is a little risky. It can easily start to sound overreaching and bombastic — something I’m sure my other prayers can be faulted for. I think it’s worth going for here because the prayer is addressing a longing for significance and story and catharsis.

I’m also aiming for that last phrase (“forming them into a church”) because that would give me a good transition into the topic of philanthropy.

We, too, then are your body, formed in your victory but not yet in full glory. Let us honor it faithfully, from the most visible part to the most vulnerable. Let the members of this church continue to serve each other, not programmatically, but out of the creativity and generosity of your compassion.

This takes advantage of Paul’s metaphor of the church as compared to Christ’s physical body. To honor the church is to honor Jesus himself. I modified the exhortation to tailor it to our isolated circumstances. I don’t use the word “philanthropy” at all in the prayer because I think we’re talking about something more broad, less technical.

What I still think I need to address is our power in Christ. Here I think I’m going to pick up a phrase from a recent devotion in Luke that has been lingering in my head.

Unworthy though we are, you have redeemed us and elected us for such a time as this. Take our measure, press it down, shake it together, and let it run over for your good and sovereign will.

Quoting Scripture (appropriately) always elevates a prayer. The references to Esther and Luke brings a depth that would normally take whole paragraphs to conjure.

That might be it for the main section. I usually leave writing out the specific entreaties at the end until the night before. I’ll recall specific conversations I’ve had and also check the shepherding notes compiled together by the pastoral staff.

Before wrapping it all up, it’s worth considering how the prayer might be received by different kinds of people in the church: kids, parents, seekers, Republicans, etc. Will they find something edifying in it? Something provocative? Who has been overlooked?

Once I give it that once-over, I try to let it go. Hopefully you were in God’s hands when you wrote it, and now it will be in His hands once you deliver it.

Crown of Thorns

Tomorrow is Good Friday, a commemoration of Christ on the cross. There will also be an inter-denominational movement to dedicate that day to fasting and prayer — appropriate, I think, both to the occasion and to the global trial we’re undergoing:

https://byfaithonline.com/a-call-for-a-day-of-prayer-and-fasting-good-friday-april-10-2020/

Since so many of us are feeling various degrees of duress, I’d like to share two resources that have given me some wisdom and comfort.

One is a short book or tract by John Piper, being made available for free in both ebook and audiobook forms:

Coronavirus & Christ

The other is a podcast conversation between Tim Ferriss and Esther Perel. As a therapist and counselor, Perel shares the challenges she is hearing about and the perspective she’s been sharing.

Tim Ferriss Show: Relationships in Quarantine (with Esther Perel)

I’ve also found replacing my impulse to constantly check the news with a discipline of short prayers and Scripture readings to be palliative.