Lockhart’s spirited exhortation celebrates mathematics as a field of inquiry, not some place where we handle bones in hopes of naming the corpse. As he dismantles the discovery process, showing how simple points on a page imply complex computative proofs, I realize what my math teachers should have offered, but usually withheld: the right to ask my own questions.
This play of ideas, where I have the encouragement to try something new, offers such thrills that, since finishing the book, I’ve trolled bookstores and the Internet seeking experiments to try. When proving squares has me arranging pennies on a table to discover patterns, it transforms math from the inert “skillz drillz” that misguided me twenty years ago into an experience that leaves me rolling on the floor, laughing uncontrollably at the thrill of discovery.
Historian James Loewen, in Lies My Teacher Told Me, blames the same forces Lockhart does: teachers who don’t challenge themselves or keep abreast of developments, and textbook writers who pander to those teachers and committees. The result speaks for itself. Students consider history a fait accompli, avoid asking questions, and see learning as a process of plugging memorized facts into multiple-choice questions.
Years ago, a friend showed me her son’s Hamlet homework. I was appalled that the entire assignment focused on stage events: who said what, what came before and after, and so on. Hamlet doesn’t matter because moments occur in sequence! It matters because it speaks to our shared fundamental human experience. But this assignment stripped the play of its inherent beauty and joy.
When the same complaint echoes across multiple curricula, I wonder: has something failed, not with individual disciplines, but with the entire process? Fields like math, history, and literature once formed the “liberal studies,” a core educational experience that frees the human soul. Why then do students emerge feeling shackled, weighed down, and enslaved?
I’ve taught long enough to recognize one important fact: teaching is hard. I don’t mean for students. Being a teacher, responding to students’ needs, and anticipating their struggles tomorrow, next week, next year, and in their careers—teaching is difficult. And it should remain difficult, because it’s difficult for students, and if they see us trivializing their struggles, they justly regard their difficulties as not that important, unworthy of their effort.
Educated students should emerge into their adult roles, not in possession of memorized facts, but prepared to ask the most important questions, and then pursue the answers. Life is not an open-book quiz. Teachers, please: keep it difficult. Keep it taxing. And stay transparent enough that students can see your struggles. Anything less robs kids of their most important ability, the ability to think.
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