A Guiding Pathway for CoReq

The Wizard of Oz, Illustration by W.W. Denslow (d. 1915), Library of Congress

Many of you have heard me argue against the term guided pathways in favor of a participle with connotations that I find more compelling: guiding pathways. The present participle suggests to me a more open, engaged, mentoring approach to pathways, which fits better with the liberal arts. As I have often quipped, the Yellow Brick Road was a guided pathway, and look what happened: Witches, Forks, and Flying Monkeys.

In the spirit of guiding pathways, I’d like to start a conversation about serving CoReq students in a more effective, focused way, a way that leverages faculty expertise along three different axes: the developmental ed experts, HUMA1301 Great Questions, and the LA Gateway. CoReq is moving in the direction of an INRW/ENGL1301 pathway, so let’s envision a thoroughly integrated curriculum, to maximize the clarity of the student’s trajectory and simultaneously the effectiveness of support services along the way.

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No more “soft skills”!

Words have consequences. When we talk about the skills students learn in the liberal arts, what are we saying when we call them “soft”?

First, as I have frequently said, if “soft skills” were all that soft, employers and CEOs wouldn’t be clamoring for them and they wouldn’t be so hard to find. More importantly, “soft” implies that these skills are somehow squishy, touchy-feely things that you just “pick up” by osmosis rather than acquire through application and dedication. You know, like the “hard sciences.”

When you call LA skills “soft,” you’re complicit in a value scheme that has placed these skills lower — but “the market” is telling you otherwise. So obviously, we need a better term.

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LA AMP planning framework

This Friday, we meet for a wide-ranging discussion of our vision of our future as an AoS, which we want to capture in our Academic Master Plan. I propose this framework as a resource for facilitating and organizing our discussion around four major areas, drawn from the student “life-cycle.” Students engage in education, not in a vacuum, but with areas of strength and needs, with unique contexts and histories, and with aptitudes and interests. The come with ideas about what they want to learn and why, which means there is an inherent intentionality to their pathway, whether or not they can articulate what that trajectory is or what it involves. Each of these areas suggests possibilities for enhancement, ways we can prepare ourselves to serve them on that trajectory — including helping them develop self-reflection on the pathway itself.

This discussion framework identifies three foundational factors in the student experience plus the student’s  aspirations for the future — which is each student’s purpose for coming to ACC in the first place.

  • The term liberal arts is inherently aspiration-focused, as these studies were originally conceived as equipping people for lives of autonomy,  community engagement, and self-determination. It’s appropriate, then, to talk about the liberal arts as foundational for thriving in a genuinely pluralistic society.
  • The tetrahedron represents the pathway from present realities to student aspirations. It’s four vertices represent four main areas for self-reflection and goals for enhancement; in short, these are four major areas for organizing our AMP discussion and visioning. The four areas are:
    • Support: leveraging student assets and addressing needs
    • Study: the “content” of the student’s path toward mastery
    • Situation: the context that forms the student’s support network
    • Aspirations: the ends-in-view of the student’s engagement in education
  • Obviously, the division of these four areas is arbitrary, as they are actually inextricably bound together in the student experience. (To give an obvious example, a student’s situation in terms of culture, family, faith, etc., has a direct effect on their formation and understanding of their own aspirations. To serve them, we must respect their autonomy, even as we help them in the transformative process of education.)
  • For each of these four, I have taken a stab at some prompts for generating discussion, leading to specific goals, indicated in the slides.

Join the discussion of the future of the liberal arts at ACC! Talk to your colleagues and send your ideas. You are welcome to comment here, email your department chair, or be in touch with me.

Prime Celebration

Today is 1/27, one of my favorite days of the year. In the number theory game I’ve been playing with dates since my junior high school days, today is the only Mersenne prime day of the year.

First, my game.

  • Step 1: Generate a number by writing the digits of the month and day as “mmdd.” Today, for instance, is 0127 or 127.
  • Step 2: Investigate the properties of the number you got from step 1 and celebrate. For instance, 127 is a prime number. Sometimes you get other interesting characteristics — as I recently pointed out about my birthday, 108.

Now, what is there to celebrate about 127?

Let’s start with Mersenne’s prime theorem. If a prime number can be represented as a Mersenne number, then the power of 2 that generates that number must be prime. Mersenne numbers have the form

2^p - 1

For instance, 15 is a Mersenne number because it can be expressed as

2^4 - 1 = 15

Obviously, 15 is not prime (among other things, it’s divisible by 3, as my birthday post revealed), but many Mersenne numbers are — like 7:

2^3 - 1 = 7

Now here’s the theorem: if a Mersenne number is prime, then the power to which 2 is raised must be prime. Since we’re looking at 7, notice that the power, 3, is also prime. Very cool.

(And it’s convenient, too, because we can use this theorem to narrow the field of prime candidates. I like looking for primes among large Mersenne numbers, with a little help from Python. In fact, I’m slowly compiling triple-Mersenne primes. These are Mersenne primes whose power is a Mersenne prime whose power is also a Mersenne prime. You can’t get entertainment like that on TV.)

That brings us to 127, which is

2^7 -1 = 127

127 is prime, and 7 is prime. But 127 is the only Mersenne prime that corresponds to a day in the year, according to my game. Why?

The next lower candidate for a Mersenne prime would use the power 5 (Why?), so we have

2^5 - 1 = 31

31 is not a well-formed day-number according to the rules of my game. (I’m fine with dropping leading 0s, but not interspersing 0s willy-nilly to get an arbitrary result—that offends my basic sense of order and fair play). All the smaller Mersenne primes, therefore, won’t qualify for my game.

What about larger Mersenne primes? The next candidate uses 11 (Why?), but let’s see:

2^11 - 1 = 2047

Two problems: 2047 is not prime. (It’s 23 * 89, in fact.) And even so, there’s no 20th month. (By the way, this also shows that not all primes are Mersenne primes — not even close!)

Yes, 127 is the only Mersenne prime day of the year — but there’s more!

127’s power is 7, which is a Mersenne prime, as we say above. But 7’s power is 3, which is also a Mersenne prime!

2^2 - 1 = 3

So, 127 is a triple-Mersenne prime. See if you can parse this lovely relation:

 2^(2^(2^2 - 1) - 1) - 1

The expression in the innermost parentheses generates 3, the expression in the next pair generates 7, and the whole expression makes 127.

There you have it. 127 is not just the only Mersenne prime day of the year, it’s also a triple-Mersenne prime.

That’s cause for prime celebration.

What is the Liberal Arts Gateway?

Now that LA Gateway-designated courses are appearing in the course schedule, people are asking: What is the LA Gateway? Here’s the philosophical framework, distilled.


The Liberal Arts Gateway

Aspiration

The Liberal Arts can save civilization by equipping students to thrive in a pluralistic society through deep engagement in our disciplines.

Guiding Values

  • Student centered course designs
  • Equity and inclusion build into all facets of the course, from recruitment to materials and assignments and beyond
  • Responsiveness to downpath stakeholders: What needs will our students face in next course, the degree plan, transfer institution/employer, career, family, community, and ultimately, The Good Life? Have those needs in mind when you build your course.


Five P’s of Intellectual Character 

Build opportunities to practice these verbs into your course, talk about them explicitly, and model them every class period.

  • Persevere: Don’t give up — in this assignment, in this course, in a conversation, in a line of inquiry, in the pursuit of truth, or in the work of saving civilization.
  • Progress: Learn how to gauge progress for yourself — benchmarks, indicators, self-reflection, honesty (with yourself, above all). We stand on the shoulders of giants, but give yourself credit for climbing up there to have a look.
  • Produce meaningful intellectual work — and challenge yourself to do better work every next time.
  • Promote the fruits of your work to others — both as a courageous attempt to say something true and as an invitation to hear others critique your work.
  • Perpetuate these traits, deepen them into habits of mind, and expand them to encompass more and more of your intellectual life.

A few course design suggestions

  • Talk to your colleagues! This philosophical framework keeps us focused on student needs and the student experience, but saving civilization requires encountering the disciplinarity of our disciplines.
  • Organize your course around a theme and meaningful questions
  • Explicitly talk about a toolkit for your discipline
  • Use (real) case studies
  • Include at least one self-reflective assignment (a moment for students to step back and take stock of the transformative experience in your course)

 

Birthday greetings

Today is January 8, my birthday. While it’s customary to receive birthday greetings, this year I’m sending you a greeting. Indulge me.

Those of you who know that I’m a closet number theorist won’t be surprised at the observation that the number 108, the month and day of my birth, is the product of the first two primes each raised to the power of itself:

108 = 2^2*3^3

The fact that the fifth-grade me was enchanted by this discovery should tell you something about me. I’m still enchanted by the secret lives of numbers, by the way.

A birthday can be a moment of reflection, a sort of “state of life” self-assessment. I’m not one to waste heartbeats on regrets — there’s far too much to be done! — but I don’t mind investing a few heartbeats in gratitude.

I’m grateful for the many, many people who have made my life richer by sharing their excellences with me, and I’m grateful for all the people I don’t know who nevertheless enrich our lives through their work and inspiration and dreams. And failures. In my best moments, I cherish failure as a trusted friend — the kind who loves you enough not to lie.

I’m especially grateful for all the people who disagreed with me in matters large and small. I’ve grown far more with you in my life than I would have without you. You encouraged me to take a larger view and helped me see the smallness in my own perspective. Idolatry isn’t pretty, no matter where you find it (or how comfortable it may seem).

Nature distributes her gifts unevenly, and I am grateful for the gift of a temperament that is too naive to be afraid to try new things. As an early teen, Heinlein introduced me to Lazarus Long, who taught me that specialization is for insects — a sentiment that would make me an appropriate epitaph. Lazarus also taught me that one lifetime is not nearly enough. Later, Nietzsche’s Zarathustra would teach me that if one lifetime is enough, then there’s no one to blame but myself.

I’m grateful for the privilege of serving ACC as a philosopher, trouble-maker, department chair, dean of humanities and communications, and defender of the liberal arts. I’m grateful for the meandering path that led me to this point — even when I felt lost, and especially when I was lost. I feel a little like Odysseus — but not nearly as sad about being far from home.

LAHC Convocation 2019: The Liberal Arts Gateway

or

How to save civilization

A title like this prompts us to consider the end of civilization. I recently had a professor tell me that if his section were canceled, it would be the coming of the End of Civilization. My response was that I’d like to offer the section again in the 12-week session, thereby postponing the End of Civilization by a few weeks.

That’s not the End I have in mind.

Rather, I want to talk about the end of civilization in that other sense: end as telos, as in teleology. As in, What is civilization for?

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Leaving Innsbruck

I first heard Heinrich Isaak’s choral piece, Innsbruck, ich muß dich lassen, in a Renaissance music history course as an undergrad at Southwestern University. The piece (with the tune in the tenor voice) made me cry. I seem to recall telling my classmates that it was the saddest melody ever written.

Walking to Innsbruck Altstadt

Isaak lived from 1450 to 1517, which is roughly from Gutenberg’s invention of the printing press to Luther’s 95 Theses. Not too much is known about Isaak’s life, but we do have at least some of his music, and we have scattered references to his career, here and there. Isaak was so prolific, and so popular and influential in German-speaking lands, that a later writer even called him “Henricus Isaak Germanus.”

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A philosopher’s path

What do you tell yourself?

This past academic year, I faced a personal challenge, and in view of this challenge, a friend and colleague asked me a very interesting question: What do you tell yourself about all this? Walking the centuries-old Philosophenweg up the Heiligenberg in Heidelberg, I found myself thinking about this question again.

The Philosopher’s Walk, which you can’t actually see, across the Neckar, Heidelberg
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