tools of learning Archives • https://educationalrenaissance.com/tag/tools-of-learning/ Promoting a Rebirth of Ancient Wisdom for the Modern Era Sat, 20 May 2023 18:52:30 +0000 en-US hourly 1 https://wordpress.org/?v=6.8.3 https://i0.wp.com/educationalrenaissance.com/wp-content/uploads/2025/04/cropped-Copy-of-Consulting-Logo-1.png?fit=32%2C32&ssl=1 tools of learning Archives • https://educationalrenaissance.com/tag/tools-of-learning/ 32 32 149608581 Building Ratio: Training Students to Think and Learn for Themselves https://educationalrenaissance.com/2020/09/12/building-ratio-training-students-to-think-and-learn-for-themselves/ https://educationalrenaissance.com/2020/09/12/building-ratio-training-students-to-think-and-learn-for-themselves/#respond Sat, 12 Sep 2020 12:20:22 +0000 https://educationalrenaissance.com/?p=1539 In 1947, medievalist Dorothy Sayers took the podium at Oxford University and delivered a lecture that would launch a referendum on modern methods of education. It took time, to be sure, but from our current vantage point in 2020, there is no doubt that her words left a sizeable imprint on the current educational landscape. […]

The post Building Ratio: Training Students to Think and Learn for Themselves appeared first on .

]]>
In 1947, medievalist Dorothy Sayers took the podium at Oxford University and delivered a lecture that would launch a referendum on modern methods of education. It took time, to be sure, but from our current vantage point in 2020, there is no doubt that her words left a sizeable imprint on the current educational landscape. The Association of Classical Christian Schools (ACCS) reports the existence of hundreds of Christian, classical schools across the nation, many of which point to Sayers’ lecture as a source for both inspiration and guidance.

What did Sayers share that day that elicited such a response decades later? 

In her own British way, the writer and poet articulated a forceful critique of modern education and then provided a compelling solution. At the 30,000 foot level, her critique was that modern educational methods were failing to equip students to learn for themselves. Her solution? Recover the lost tools of learning, also known as the liberal arts, in order to equip students to do the work of learning and be prepared for the complexities of life ahead.

In this article, I aim to demonstrate congruity between the classical principle of self-education and Doug Lemov’s concept of “Ratio” in Teach Like a Champion 2.0. This is a continuation of my ongoing series on “Teach Like a Champion in Classical Perspective.” Lemov is a leader in the charter school movement who is passionate about distilling the best techniques for the craft of teaching. Using data from state achievement tests as a starting point, Lemov and his team observed hundreds of top teachers across the nation to identify proven techniques for student success. Today I will specifically examine how Lemov’s concept of “Ratio” works well to support what Sayers believed to be the purpose of formal education: to train students to learn for themselves.

A Problem to be Solved

First, let’s get clear on the problem of modern education, as Sayers sees it. She opens her essay by criticizing modern educational methods for failing to prepare students to navigate the complexities of the modern world. In an age of mass-marketing and propaganda, schools were doing little to equip students to discern right from wrong in difficult situations where the truth is not immediately evident.

Sayers writes:

Has it ever struck you as odd, or unfortunate, that to-day, when the proportion of literacy throughout Western Europe is higher than it has ever been, people should have become susceptible to the influence of advertisement and mass-propaganda to an extent hitherto unheard-of and unimagined? Do you put this down to the mere mechanical fact that the press and the radio and so on have made propaganda much easier to distribute over a wide area? Or do you sometimes have an uneasy suspicion that the product of modern educational methods is less good than he or she might be at disentangling fact from opinion and the proven from the plausible?

It is incredible how firmly this punch, which was thrown over seventy years ago, lands today. The fact that Sayers wrote the preceding paragraph before the rise of the internet, social media, and the recent phenomenon of “fake news,” is fascinating. If the “press” and the “radio” were propagating mistruths and fallacious thinking back in the 1940’s, how much worse is the problem today? Who is preparing students to navigate such deceptive terrain? According to our lecturer, not schools.

And yet, Sayers isn’t quite finished; she continues her attack on modern education with a barrage of questions:

Do you ever find that young people, when they have left school, not only forget most of what they have learnt (that is only to be expected) but forget also, or betray that they have never really known, how to tackle a new subject for themselves? Are you often bothered by coming across grown-up men and women who seem unable to distinguish between a book that is sound, scholarly and properly documented, and one that is to any trained eye, very conspicuously none of these things? Or who cannot handle a library catalogue? Or who, when faced with a book of reference, betray a curious inability to extract from it the passages relevant to the particular question which interests them?

Here Sayers identifies an even deeper problem ingrained within modern educational methods. According to Sayers, not only were schools in her day releasing students into the world ripe for the picking by propagandists and media producers, they were failing to prepare students to learn for themselves. Schools, instead of preparing a generation of students capable of thinking independently and equipped with the wisdom to navigate complex situations, were graduating men and women who remain dependent upon the thinking of others. Sayers concludes:

They [teachers] are doing for their pupils the work which the pupils themselves ought to do. For the sole true end of education is simply this: to teach men how to learn for themselves; and whatever instruction fails to do this is effort spent in vain.

What Sayers is referring to here is the classical principle of self-education. This is the idea that, as the saying goes, it is better to teach a man to fish rather than to merely give him one. Students need to learn how to learn if they are going to navigate this world wisely and virtuously.

Elevating the Ratio

Keeping what Sayers has said about the need for students to learn for themselves, let’s now examine what Doug Lemov writes about “Ratio.” For Lemov, the whole point of ratio is to get students to do as much of the cognitive work as possible. The more work students are required to do, the greater the ratio, and the more effective the teaching. Of course, Lemov isn’t interested in students engaging in any sort of learning activity, but the kind of work that is truly cognitively demanding. He frames three different approaches for making this happen: questioning, writing, and discussing. 

First, though, he clarifies that student participation itself is not equivalent to ratio. It is possible to have a high rate of class participation and yet low ratio with regards to rigorous cognitive work. Likewise, it is possible to have high “Think Ratio”–work that is truly rigorous–but low class participation. As the graph indicates below, the key is to seek both. Lemov writes, “When you seek ratio, you ultimately seek to be high on both axes” (240). 

Teachers, then, should always be engaged in self-diagnosing ratio in their classrooms, asking the questions “How rigorous is the work?” and “How many are participating?”. 

The Content Prerequisite 

Next, Lemov turns to what he calls “The Content Prerequisite” in order to reach the highest levels of ratio. This is the idea that in order for students to engage in rigorous thinking, they need actual mental content, or knowledge, to think about. Lemov acknowledges that in the current educational landscape, the memorization of “mere” factual knowledge is not highly regarded. But he goes on to argue that exercises where students try to “think deeply” without knowing much turns out to be vacuous. “Facts and rigor,” Lemov insists, “are not opposites as some educators continue to suggest, but synergistic partners” (19).

Interestingly, Lemov is not alone on this view. The importance of knowledge acquisition in the learning process is confirmed by the research in Make it Stick: The Science of Successful Learning. In this book, the authors argue that retrieval practice–recalling facts or concepts or events from memory–is crucial for gauging effective learning. In an early chapter of the book, entitled “Learning is Misunderstood,” they point out that creative thinking, a popular phrase in today’s educational world, and increasing knowledge, go hand in hand. Using a building metaphor, the authors write:

Memorizing facts is like stocking a construction site with the supplies to put up the house. Building the house not only requires knowledge of countless different fittings and materials but conceptual knowledge, too…Mastery requires both the possession of ready knowledge and the conceptual understanding of how to use it (18).

In other words, one can’t effectively engage in problem solving, creative thinking, or rigorous analysis without knowing from memory the facts relevant to the topic. It is all too common today to brush off teaching factual knowledge with the quip “I’ll just Google it,” or “That’s what Wikipedia is for.” While it is true that we live in an age in which more information is at our grasp than ever before, it still falls to each individual human learner to sort the information into comprehensible categories. And ironically, to sort information, you need to know information.

(Side note: If you are looking for a great strategy to increase the amount of memory recall in your classroom we recommend checking out Jason’s eBook on the practice of narration.)

The Importance of Knowledge

In her own way, Sayers confirms the importance of the knowledge prerequisite in her lecture. She creatively ascribes the Trivium, the three classical language arts, to three coinciding stages of childhood development. Admitting herself that her views on child psychology are neither “orthodox or enlightened” she defines the work of the grammar (elementary school) stage as memorizing, reciting, chanting, and observing. In short, it is about collecting mental material, or knowledge, that the mind will go to work on in later developmental stages. Sayers writes:

What that material actually is, is only of secondary importance; but it is as well that anything and everything which can usefully be committed to memory should be memorized at this period, whether it is immediately intelligible or not…At this stage, it does not matter nearly so much that these things should be fully understood as that they should be known and remembered. Remember, it is material that we are collecting.

While most classical educators today will disagree with Sayers’ explanation of the Trivium, from a historical standpoint, and critique her understanding of childhood development, let’s not miss her key insight here. It is the same idea that Doug Lemov and the authors of Make it Stick are touching on: knowledge matters. A rigorous education, one in which students are doing the cognitive lifting in a manner that prepares them to learn for themselves, requires the acquisition of knowledge. Where precisely this fits within the liberal arts paradigm is debatable, but the necessity of knowledge, or the content prerequisite, as Lemov calls it, is not.

Building Ratio in the Classroom

Now that we have discussed these preliminary matters, let’s turn to Lemov’s three ways for building ratio and empowering students to do the work of learning: questioning, writing and discussing.

First, teachers build ratio through questioning. When students are asked good questions and expected to give thoughtful answers, they are doing the bulk of the cognitive lifting. They are being asked to explain the concept or make a connection between two ideas. Rather than the teacher lecturing from “on high,” students are engaged in the demanding task of working out knowledge for themselves. Some of the most useful techniques I have found for increasing ratio through questioning are as follows:

  • Wait Time: Allow students time to think before answering. If they aren’t productive with that time, narrate them toward being more productive.
  • Cold Call: Call on students regardless of whether they’ve raised their hands.
  • Break it Down: When a student makes an error, provide just enough help to allow her to solve as much of the original problem as she can.

A second way to build ratio is through writing. As Jordan Peterson shared in a classroom lecture, the best way to teach students to be critical thinkers is to teach them to write. Both the amount and quality of writing students do on a regular basis are key determinants for their ability to think and learn for themselves. Perhaps one of the greatest advantages of writing assignments is that 100% of students are doing the cognitive work, as opposed to one or two when a question is answered orally by one or two students. I have to say, as someone who has been teaching writing for several years now, I actually get a small adrenaline rush when I’ve crafted a well-worded writing prompt and watch every single one of my students go off to the races in fulfilling it. Some key techniques that I’ve found helpful for building ratio through writing include:

  • Everybody Writes: Prepare your students to engage rigorously by giving them the chance to reflect in writing before you ask them to discuss.
  • Art of the Sentence: Ask students to synthesize a complex idea in a single, well-crafted sentence. The discipline of having to make one sentence do all the work pushes students to use new syntactical forms.
  • Build Stamina: Gradually increase writing time to develop in your students the habit of writing productively, and the ability to do it for sustained periods of time.

Building Ratio Through Discussion

A final way Lemov offers teachers to increase ratio in their classrooms is through discussion. He saves this way for last because in some sense it is the most predictable. When students are sitting in a circle and engaged in discussion, there is an (almost) inevitably high degree of ratio going on. In most classical schools, discussion is constantly used pedagogically as a tool for training in the liberal art of dialectic. So the benefits of discussion are well-known and celebrated.

Nevertheless, teachers would do well to remember that not all discussions are created equal. Students simply sitting in a group and restating their opinions at each other, as Lemov notes, does not qualify as a discussion (314). These are merely disconnected verbal interactions. Instead Lemov defines a discussion as “a mutual endeavor by a group of people to develop, refine, or contextualize an idea or set of ideas” (315).

I agree with Lemov’s definition here with one philosophical caveat. It should be clarified that the ideas Lemov is speaking of are not to be understood as mere personal accounts of what people think about the world, whether or not these ideas actually correspond to reality. Rather, a worthy discussion should lead to the discern of objective truth, of the way the world actually is. Thus discussion always has a morally formative and humanizing goal: to expose students to the truth, that they might abide in it, and go on to express it prophetically to others.

Some helpful techniques for building ratio through discussion are as follows:

  • Habits of Discussion: Make your discussions more productive and enjoyable by normalizing a set of ground rules or “habits” that allow discussion to be more efficiently cohesive and connected.
  • Batch Process: Give more ownership and autonomy to students–particularly when your goal is discussion–by allowing for student discussion without teacher mediation, for short periods of time or for longer, more formal sequences.

Conclusion

In this article, I’ve attempted to demonstrate agreement between the classical principle of self-education and Doug Lemov’s idea of building ratio. When students are expected to do the cognitive lifting in the classroom, they are being prepared to learn for themselves, not just at school, but throughout all of life. Certainly Lemov’s techniques are insufficient for achieving the broader vision of human flourishing from a classical perspective, which entails growth in wisdom and virtue, but nevertheless, his insights for ways teachers can empower their students to learn for themselves are noteworthy. I heartily commend them to you in your broader aim to recover the lost tools of learning in the education of your students. As Sayers implies at the end of her lecture, it would seem that nothing less than the future of western civilization depends on it.

Other articles in this series:

Work, Toil, and the Quest for Academic Rigor

“Teach Like a Champion” for the Classical Classroom, Part 3: Check for Understanding

“Teach Like a Champion” for the Classical Classroom, Part 2: Teacher-Driven Professional Development

“Teach Like a Champion” for the Classical Classroom, Part 1: An Introduction

The post Building Ratio: Training Students to Think and Learn for Themselves appeared first on .

]]>
https://educationalrenaissance.com/2020/09/12/building-ratio-training-students-to-think-and-learn-for-themselves/feed/ 0 1539
Charlotte Mason and the Liberal Arts Tradition, Part 1: Mapping a Harmony https://educationalrenaissance.com/2020/02/15/charlotte-mason-and-the-liberal-arts-tradition-part-1-mapping-a-harmony/ https://educationalrenaissance.com/2020/02/15/charlotte-mason-and-the-liberal-arts-tradition-part-1-mapping-a-harmony/#respond Sat, 15 Feb 2020 14:09:26 +0000 https://educationalrenaissance.com/?p=911 “What has Athens to do with Jerusalem?” the church father Tertullian skeptically asked. Tertullian was writing at a time in which church leaders were weighing the pros and cons of mining the Greco-Roman philosophical tradition for insights they could utilize in the development of a distinctively Christian philosophy.  Similarly, within the Christian classical school movement, […]

The post Charlotte Mason and the Liberal Arts Tradition, Part 1: Mapping a Harmony appeared first on .

]]>
“What has Athens to do with Jerusalem?” the church father Tertullian skeptically asked. Tertullian was writing at a time in which church leaders were weighing the pros and cons of mining the Greco-Roman philosophical tradition for insights they could utilize in the development of a distinctively Christian philosophy. 

Similarly, within the Christian classical school movement, some have asked, “What has Charlotte Mason to do with Dorothy Sayers?” In other words, can the pedagogical insights of the British educator Charlotte Mason be conducive for classical education today? Where is there harmony? Where is there discord?

While a full treatment of this question, and the subsequent questions I posed, would require more than a single blog post, I want to begin the conversation by highlighting one prominent interpretation of classical education and then dispelling of two myths that would suggest Charlotte Mason and the tradition are at odds. The interpretation of classical education I will highlight comes from Kevin Clark and Ravi Scott Jain’s The Liberal Arts Tradition: A Philosophy of Christian Classical Education, which has become a seminal text in the Christian classical school movement.

A Paradigm for the Liberal Arts Tradition

To get started, let me first summarize Clark and Jain’s proposed paradigm for the liberal arts tradition. To be clear, I am not suggesting, nor do the authors, that this paradigm gets everything right about the western tradition of education. The history of education in western civilization spans millennia and cultures. It therefore encompasses a variety of thinkers and ideas that vary depending on their context and position within its development. Nevertheless, to suggest that there is no tradition at all is equally incorrect. Through careful study, we can observe some common threads present across time and place, which together bear witness to a single living tradition. It is precisely this rich heritage of education which Clark and Jain seek to uncover and illuminate for modern day scholars and practitioners alike.

The authors define the purpose of the liberal arts tradition in the West as follows: “Grounded in piety, Christian classical education cultivates the virtues of the student in body, heart, and mind while nurturing a love for wisdom under the lordship of Christ.” To unpack this purpose statement and help their readers keep the big picture in mind, they divide the paradigm into multiple categories—Piety, Gymnastic, Music, Arts, Philosophy, and Theology—or PGMAPT, for easy remembering. Let me briefly walk us through each category now.

Piety is the abiding love, gratitude, and loyalty members of a tradition share for their heritage. When fully realized, piety harnesses the heart and will toward a proper sense of duty for what has come before.

Gymnastic is the focused and intensive training of the physical body. As embodied souls, or ensouled bodies, humans must gain mastery of their physical bodies if they are to truly flourish in a physical world.

Music (not to be confused with the modern “subject” of music) tunes the heart to wonder, delight, and love. It forms the affections and moral imagination of the youngest students. Rather than focusing exclusively on instruments or singing, musical education is directed toward joyful engagement with reality. 

The Arts refer to the Liberal Arts, both the Trivium (language arts) and Quadrium (numerical arts). Together they are to be understood as the tools of learning, the intellectual skills required to create and justify knowledge.

Philosophy is the pursuit of wisdom and knowledge about the world, understood in a threefold division: knowledge about humans, nature, and metaphysics. Together these divisions point toward a single unified and synthetic view of knowledge and reality.

Finally, Theology is the study of divine revelation, which is the culmination of knowledge in the western educational tradition. Theology provides the unifying framework for all the liberal arts and sciences. 

The Learning Tree

Together these categories work together sequentially, resulting in a paradigm, or a comprehensive structuring, of the liberal arts tradition. To help their readers grasp this structuring, Clark and Jain liken it to a tree. 

tree diagram representing the Liberal Arts Tradition
Used by permission of CAP

The roots of the tree are piety, for, without piety, a person would have no reliable map or compass for one’s purpose in life. Piety serves both as a launching pad and source of sustenance for one’s understanding and approach to a meaningful life. Next come Gymnastic and Music, located on the lowest part of the tree trunk, indicating that these categories begin during the earliest years in a child’s education. Physical development and self-control, for example, are crucial during this stage. What initially begins with basic head movement and rolling on the floor quickly turns into crawling, walking, and soon enough, running and jumping. Likewise, the minds of children are incredibly active and curious, seeking to absorb everything in their paths. Therefore, the right stories, songs, and art should be offered and assimilated for their moral imaginations to flourish. 

With this foundation laid in the early years, training in the liberal arts occurs next. Not understood as stages in childhood development, but rather as dynamic tools of learning across grade levels, students learn how to use these tools as they engage with linguistic and mathematical content. The language tools have to do with all that is necessary to read and interpret a text, think critically, engage in discussion, and communicate both orally and in writing with eloquence. The number tools have to do with understanding the complex relationships between quantity, size, location, and shape, and then applying this knowledge toward practical outcomes. 

Together the liberal arts of language and number are the tools of learning that equip a student to think independently and dynamically. And while the training in these skills includes the transmission of some knowledge content, the focus is on honing skills that they may then go on to utilize in their own pursuits of knowledge down the road. Philosophy, the pursuit of wisdom, consists of all the subjects, or fields of knowledge, that one can study, such as chemistry, biology, economics, history, or literature. Philosophy, as the domain of all knowledge, is located at the highest point on the tree trunk, indicating that if a student has made her way up to this point, she is now ready to begin the real work of the tree: bearing fruit. This feature of the illustration is crucial for it reminds us as educators that the ultimate purpose of education is not mere knowledge, but virtue formation and the cultivation of desire directed toward the good, true, and beautiful.

And where does theology belong on the tree you might ask? Interestingly, theology itself is not located in any one particular place on the tree, but instead is situated above the tree. This unique positioning communicates that knowledge and understanding of the Triune God transcends all the other categories of education.

Dispelling Two Myths about Charlotte Mason and the Liberal Arts Tradition

Now that I’ve sketched out Clark and Jain’s comprehensive interpretation of the liberal arts tradition, I want to now dispose of two myths that question whether Charlotte Mason’s educational principles fit within the tradition.

Doug Wilson of New Saint Andrews College

The first myth is the simplistic notion that while Charlotte Mason emphasizes ideas, classical education focuses on something else entirely: facts. While it is true that Charlotte Mason greatly emphasizes the power of ideas, it is not accurate to say that classical education, or the liberal arts tradition more broadly, focuses on facts. The popularization of this viewpoint is, of course, understandable. The birth of the classical Christian school renewal movement began, in some ways, with Doug Wilson’s interpretation and application of the Trivium as he understood medievalist Dorothy Sayers to be explaining it. According to this treatment of the Trivium, the elementary years should focus exclusively on fact memorization as a way of honing the liberal art of grammar.

Recently, however, this view of grammar has been shown to be insufficient and inconsistent with the liberal arts tradition. The liberal art of grammar, as it would come to be shown, has more to do with reading and interpretation of language rather than fact memorization, and, additionally, was never historically confined to a particular stage in childhood development. So the idea that classical education necessarily elevates facts over ideas isn’t historically accurate and therefore not essential to the liberal arts tradition. More and more classical schools today are moving away from this approach, in fact, while retaining Sayers’ fundamental insight that young minds can and should be intellectually challenged appropriately. 

The second myth I wish to dispel is that Charlotte Mason elevated, above all else, the cultivation of a love for learning, while classical educators prioritize academic rigor. In response to this myth, let me say that Charlotte Mason was indeed passionate about awakening the minds of children to real knowledge. She believed that each child was a person made in the image of God, and, therefore, parents and teachers are limited to certain methods for raising and teaching these young scholars. She was deeply committed to educating children in a way that is befitting of their personhood: morally, spiritually, intellectually, and physically.

But this conviction is in no way incompatible with an academically rigorous education. In fact, it is reasonable to argue that this high view of children warrants an academically rigorous education properly defined. Children are not be treated as mere cattle on a farm or products on an assembly line. They enter this world with immense potential to think, create, explore, write, observe, perform, analyze, and more. As a result, the sort of work we give children to do in the classroom ought to activate and strengthen these capacities to the limits of each child’s potential. Charlotte Mason herself pokes fun at the sort of educational environments that are free of hardship, adversity, and genuine challenge. Humans, as it turns out, thrive in the face of challenge and experience real joy when coached to achieve excellence.

scientist with chemicals in flasks

Now, to be sure, Charlotte Mason did question the usefulness of grades and competition as tactics for motivating children to learn. Stemming from her view of human minds as living and hungry for knowledge, she firmly believed that knowledge itself ought to be the reward for the worthy work of learning. Interestingly, the strength of intrinsic motivation for learning has been confirmed in recent literature. For example, in David Pink’s Drive, the author shows that modern research has revealed that for worthy tasks, like learning, intrinsic motivation is more powerful for long-term gains and sustained achievement. So although Charlotte Mason was careful to not permit motivators often associated with academic rigor to enter her classrooms, there turns out to be good reasons, which are actually a,menable toward academic rigor, for doing so.

Hopefully I have whet your appetite for the possible harmony Charlotte Mason and the liberal arts tradition may share. In my next article, I will continue the conversation through providing some specific examples, such as narration (download Jason’s eBook here), habit training (download Patrick’s eBook here), and nature study from Charlotte Mason’s pedagogical practices that fit within Clark and Jain’s PGMAPT paradigm. For now, I encourage educators today who are interested in synthesizing these inspiring approaches to education to step back into their classrooms and give these ideas a try!

The post Charlotte Mason and the Liberal Arts Tradition, Part 1: Mapping a Harmony appeared first on .

]]>
https://educationalrenaissance.com/2020/02/15/charlotte-mason-and-the-liberal-arts-tradition-part-1-mapping-a-harmony/feed/ 0 911
The Flow of Thought, Part 4: The Seven Liberal Arts as Mental Games https://educationalrenaissance.com/2019/11/09/the-flow-of-thought-part-4-the-seven-liberal-arts-as-mental-games/ https://educationalrenaissance.com/2019/11/09/the-flow-of-thought-part-4-the-seven-liberal-arts-as-mental-games/#respond Sat, 09 Nov 2019 15:52:03 +0000 https://educationalrenaissance.com/?p=638 There’s a lot of talk these days about the war between STEM and the liberal arts (which we are meant to understand as the humanities generally). Often this gets posed as a trade-off between a utilitarian education—training our future engineers, scientists and programmers—vs. a soft education in human skills and cultural awareness. Given the hype […]

The post The Flow of Thought, Part 4: The Seven Liberal Arts as Mental Games appeared first on .

]]>
There’s a lot of talk these days about the war between STEM and the liberal arts (which we are meant to understand as the humanities generally). Often this gets posed as a trade-off between a utilitarian education—training our future engineers, scientists and programmers—vs. a soft education in human skills and cultural awareness.

Given the hype for STEM, defending the value of the humanities (as Martin Luther did, for one) is an important move in the broader education dialogue. And it’s one that’s not very hard to make, when there are articles like this one on how Google was planning to hire more humanities trained employees rather than more programmers. It turns out that technological change and the job market aren’t making the humanities irrelevant after all.

But for a while I’ve felt that the trade-off between STEM and the humanities is an unfortunate false dichotomy. (Logic lesson: false dichotomy – when two things are posed as mutually exclusive options when both can be embraced at the same time.) The seven liberal arts of the classical tradition encompassed BOTH the language arts of the trivium (grammar, dialectic and rhetoric, or perhaps humanities in a general sense) AND the mathematical arts of the quadrivium (arithmetic, geometry, music and astronomy).

illustration of a galaxy representing the liberal art of astronomy as STEM discipline

In a way, astronomy was the paradigmatic STEM discipline, since it wove together the science of the natural world with mathematical calculations to “save the appearances” and had applications to the travel technologies of the day.

Problems with the Trade-Off Between STEM and the Humanities

Part of the problem with the whole dichotomy is that we’re left arguing about whether to privilege STEM over the humanities or the humanities over STEM, when embracing both would be mutually beneficial. After all, scientists still need to write and publish those rhetorical masterpieces we call academic papers to advance the discipline. And what culturally savvy hipster could not benefit from some of the scientific precision of mathematics and design thinking?

But the other problem, which is more to the point for this blog article, is that a utilitarian focus doesn’t serve either the humanities or STEM careers very well. And that’s because too much focus on money-making skills for the job market doesn’t end up creating the best professionals in either domain. That comes from deep work, passionately and regularly pursued. The best programmers get good at it because they love programming!

STEM and the humanities, or the seven liberal arts of the trivium and quadrivium, were discovered and developed in the first place, because getting into the flow of thought is a source of happiness and joy for human beings. Thinking along the lines of the liberal arts is more like a mental game than a utilitarian bid for power, money or success.

We get support for this notion from an unlikely source, the modern positive psychologist Mihayli Csikszentmihalyi. In his book Flow: The Psychology of Optimal Experience (Harper Perennial 2008), he writes:

“It is important to stress here a fact that is all too often lost sight of: philosophy and science were invented and flourished because thinking is pleasurable. If thinkers did not enjoy the sense of order that the use of syllogisms and numbers creates in consciousness, it is very unlikely that now we would have the disciplines of mathematics and physics.” (126)

The background for our psychologist’s claim is his idea that our consciousness as human beings is naturally disordered and chaotic, and so one of the primary ways to build human happiness is to engage in activities that order consciousness. While he explores many other ways of achieving flow, that optimal state where our skills meet our challenges and our focus is absorbed by a meaningful activity, one of his chapters is on the flow of thought, or how thinking itself can be an avenue into flow.

Mathematicians and physicists didn’t make their greatest discoveries and push the bounds of human knowledge because of utilitarian motives, but because they got lost in the joy of thought. As he goes on to explain, this claim flies in the face of many historians’ standard explanations of key discoveries:

“The evolution of arithmetic and geometry, for instance, is explained almost exclusively in terms of the need for accurate astronomical knowledge and for the irrigational technology that was indispensable in maintaining the great ‘hydraulic civilizations’ located along the course of large rivers like the Tigris, the Euphrates, the Indus, the Chang Jiang (Yangtze), and the Nile. For these historians, every creative step is interpreted as the product of extrinsic forces, whether they be wars, demographic pressures, territorial ambitions, market conditions, technological necessity, or the struggle for class supremacy.” (126)

Brown rice terraces as an example of ancient irrigation technology

Yes, these developments in arithmetic and geometry coincided with applications to “irrigational technology,” but that doesn’t mean that the individuals who invented them did so for such utilitarian reasons. Often it happens that the knowledge necessary for some practical application is discovered first with no thought of its usefulness or application. Then only later, and often by someone else, that knowledge is applied to a practical problem felt by the civilization.

For instance, Csikszentmihalyi tells of the discovery of nuclear fission and how the arms race of World War II is often urged as the inciting historical factor. However, the advancements in knowledge necessary to its development came before and were discovered in a more pleasurable and altogether collegial manner:

“But the science that formed the basis of nuclear fission owed very little to the war; it was made possible through knowledge laid down in more peaceful circumstances—for example, in the friendly exchange of ideas European physicist had over the years in the beer garden turned over to Niels Bohr and his scientific colleagues by a brewery in Copenhagen.” (126)

The joy of thought, of discovery and of solving abstract problems lies at the base of the advance of knowledge, in every age, time and place. As our psychologist summarizes:

“Great thinkers have always been motivated by the enjoyment of thinking rather than by the material rewards that could be gained by it.” (126)

This is supported by several quotations from the Greek philosopher Democritus, a highly original thinker: “It is godlike ever to think on something beautiful and on something new”; “Happiness does not reside in strength or money; it lies in rightness and manysidedness”; “I would rather discover one true cause than gain the kingdom of Persia” (127).

The seven liberal arts of the trivium and quadrivium are those tools of knowledge that are so pleasurable in the handling. Let’s take some time to break down a few of them and see how they work, just for the joy of it.

Download free resource.

Gaming the Liberal Art of Grammar

In the classical tradition grammar referred to a much broader category of skills that the modern subject does today. It included all the complex skills involved in reading and interpretation, as well as the mechanics of writing. The term was derived from the Greek word for ‘letter’ (gramma), and thus referred to the holistic study of letters. The famous Roman orator and teacher Quintilian explained in the 1st century that the best Latin translation of the term was the Latin word litteratura from which we get ‘literature’ (see Institutes of Oratory II.1).

Girle reading Oxford English Dictionary in the flow of thought

It’s not an accident that in our psychologist’s many studies, one of the most cited ‘flow activities’ that people self-report is the act of reading (Csikszentmihalyi 117). Deep reading, getting lost in a book, is for many a pleasurable activity—the title of Alan Jacob’s book The Pleasures of Reading in an Age of Distraction (which I highly recommend) says it all.

Of course, the foundation of this great grammatical activity of piecing letters together into words is the activity of naming itself. Brining order to consciousness relies on some sort of ordering principle and words provide that. They name persons, places, things or ideas, therefore creating order in the mind for an experience or phenomenon, where only chaos existed before:

“The simplest ordering system is to give names to things; the words we invent form discrete events into universal categories.” (124-5)

In both the Judeo-Christian worldview and the Greek roots of the classical tradition, this primacy of the word is endorsed:

“In Genesis 1, God names day, night, sky, earth, sea, and all the living things immediately after He creates them, thereby completing the process of creation. The Gospel of John begins with: ‘Before the World was created, the Word already existed…’; and Heraclitus starts his now almost completely lost volume: ‘This Word (Logos) is from everlasting, yet men understand it as little after the first hearing of it as before….’” (125)

Readers of the Bible will know that in Genesis 2 God assigns the task of naming the animals to Adam in the sequence leading up to the creation of Eve. Adam, whose name means ‘humanity’ in Hebrew, is given the honor and joy of naming the animals that God brings before him—a task that is fitting for him, given how human beings were made in the image of God according to the chapter before.

In its broadest sense then, grammar and the other trivium arts of dialectic and rhetoric involve the practitioner of them in the process of bringing order out of chaos. It is a godlike activity, to borrow the phrase from Heraclitus, to name and distinguish and describe reality. Why should we wonder that such a process would be pleasurable?

Aside: Download the Free eBook “5 Tips for Fostering Flow in the Classical Classroom”

Wondering how to practically apply the idea of flow in your classroom? These 5 actionable steps will help you keep the insights of flow from being a pie-in-the-sky idea. Embody flow in your classroom and witness the increased joy and skill development that result!

You can download “5 Tips for Fostering Flow in the Classical Classroom” on the flow page. Share the page with a friend or colleague, so they can benefit as well.

Embarking on the Quest of the Quadrivium

As with the language arts, it is to the ancient roots of the classical tradition that Csikszentmihalyi goes in order to explain the flow of thought along the lines of the quadrivium:

“After names came numbers and concepts, and then the primary rules for combining them in predictable ways. By the sixth century B.C. Pythagoras and his students had embarked on the immense ordering task that attempted to find common numerical laws binding together astronomy, geometry, music and arithmetic. Not surprisingly, their work was difficult to distinguish from religion, since it tried to accomplish similar goals: to find a way of expressing the structure of the universe. Two thousand years later, Kepler and then Newton were still on the same quest.” (125)

Watch webinar!

The point that our psychologist is eager to make in this recitation is that the quadrivium arts were not abstract skills aimed at utilitarian ends. Instead, Pythagoras and his students had religious goals of a monumental nature in their numerical and mathematical work. The birth of the quadrivium was nothing less than a “quest” to “find a way of expressing the structure of the universe.”

We can easily see how such a pursuit would catch the hearts and minds of students. Kevin Clark and Ravi Jain present a similar picture of the quest of the quadrivium in their book The Liberal Arts Tradition: A Philosophy of Christian Classical Education (which is coming out soon in a revised and updated version!). They point out that “there was deeply spiritual element to it as well…. Pythagoras thought that the harmony of the spheres, part of the liberal art of music, was established by the power of ‘the One’” (version 1.1, p. 53). This, along with their suggestion that “the study of mathematics ought to strike a balance between wonder, work, wisdom and worship,” seems suggestive of the type of joy and pleasure attained in a flow activity.

Of course, for that to be the case, there would need to be, not only a transcendent quest, but also a series of sub-goals and intermediate tasks with clear feedback and of limited scope, so that the rules for a flow activity could be met. When a challenge exceeds the person’s skills by too much, anxiety tends to crush the possibility for flow; likewise, make the activity too easy and boredom ensues (Csikszentmihaly 74).

chalkboard with complex mathematical equations and solutions

The development of rules, representations and proofs seem to assist in the process of defining discrete next steps in the grand quest:

“Besides stories and riddles all civilizations gradually developed more systematic rules for combining information, in the form of geometric representations and formal proofs. With the help of such formulas it became possible to describe the movement of the stars, predict seasonal cycles, and accurately map the earth. Abstract knowledge, and finally what we know as experimental science grew out of these rules.” (125)

It seems that the experience of flow and the advancement of discovery almost require the phenomenon of the absent-minded professor. That is because one of the demands of flow is that the mind be wholly absorbed in a meaningful activity. The scientist or mathematician so absorbed has “temporarily tuned out of everyday reality to dwell among the symbolic forms of their favorite domain of knowledge” (127). A great example of this is how the philosopher Immanuel Kant placed his watch in a pot of boiling water while holding carefully onto his egg in the other hand, ready to time out its cooking.

As our psychologist concludes:

“The point is that playing with ideas is extremely exhilarating…. Not only philosophy but the emergence of new scientific ideas is fueled by the enjoyment one obtains from creating a new way to describe reality.” (127)

The Games of the Mind and the Tools of Learning

Such observations about how the liberal arts of both language and number are pleasurable activities may raise a brow of confusion for some teachers and parents.

After all, knowing that great professors, scientists and philosophers can have a grand old time in their work doesn’t solve the angst of my child or the child in my class, who is either bored by a particular discipline or filled with anxiety and self-consciousness.

anxiety over math and STEM

So how can we help turn the tools of learning into games of the mind for our students who struggle?

Part of the advice our psychologist’s book seems to imply is a reframing of the teacher’s task. While we might be inclined to think that teachers are primarily supposed to deliver correct information to students, perhaps instead teachers should be designers of flow activities within the discipline. If our goal is to cultivate a love of learning in students, then they will have to experience the challenge and discovery of learning for themselves. Receiving the answers is not an empowering, godlike task that optimally challenges your current skills (unless you’re at least required to narrate them back…).

Some examples are probably in order here. In a humanities class, perhaps students should be involved in the process of naming new experiences and ideas that they encounter in their books. How often, I wonder, does a humanities teacher think of the work of reading as an activity in which students will encounter new realities that they will then try to make sense of through concept formation? Are we asking them to notice and describe, to discuss and distinguish? That takes a lot of time devoted to classroom dialogue and is not so efficient as telling students the answers that teacher or students have diligently culled from SparkNotes.

For mathematics instruction Ravi Jain has discussed the importance of puzzle, proof and play. If we can get students puzzling and playing with numbers and formulas, then they will get in flow and start loving the process of discovery. Answers and alternate methods will generate excitement and be stored in their memory, as they strive for greater levels of skill along the quest. It can’t just be about chugging problems and memorizing formulas for an extrinsic reward, like a grade. The best programmers weren’t grade-chasers in their programming class (if they took one and weren’t just self-taught).

puzzle piece as a game for the liberal arts

After all, the quest for ordering reality through language and number isn’t just about money and success. It’s a transcendent human activity, naturally pleasurable and desirable in and of itself. When we treat it as less than that, we fail to initiate our students into their full God-given inheritance as image-bearers and culture makers.

What other ideas do you have for turning the tools of learning into flow activities?

New Book! The Joy of Learning: Finding Flow Through Classical Education

Enjoying this series? Jason Barney revised and expanded it into a full length book that you can buy on Amazon. Complete with footnotes and in an easy-to-share format for teacher training or to keep in your personal library, the book aims to help you apply the concept of flow in your classical classroom.

Make sure to share about the book on social media and review it on Amazon!

Past installments – Part 1: Training the Attention for Happiness’ Sake, Part 2: The Joy of Memory, Part 3: Narration as Flow. Future installments – Part 5: The Play of Words; Part 6: Becoming Amateur Historians; Part 7: Rediscovering Science as the Love of Wisdom; Part 8, Restoring the School of Philosophers, Part 9, The Lifelong Love of Learning.

The post The Flow of Thought, Part 4: The Seven Liberal Arts as Mental Games appeared first on .

]]>
https://educationalrenaissance.com/2019/11/09/the-flow-of-thought-part-4-the-seven-liberal-arts-as-mental-games/feed/ 0 638