Calculus in Middle School

Calculus for Middle School? Why Not? Right at the start, I’d like to stipulate that there is a difference between explaining Calculus and teaching Calculus to students. A twelve-year-old would have to be quite precocious indeed to have mastered the skills of algebra, as well as learned about the various other functional relations, needed toContinue reading “Calculus in Middle School”

How to Tell If Your Writing Has Value

February 9, 2017. Answering a question on quora.com: How Can You Value Your Writings? I’m assuming you have written something, and are now questioning if what you have written has value? First of all, does it have value to you? Are you proud of what you have written? It’s not always easy to answer this question,Continue reading “How to Tell If Your Writing Has Value”

Recreational Mathematics

April 17, 2018. Answering a question on quora.com: Can I do math as a hobby? Yes, by all means! While you may think that doing math means boring computations, nothing could be farther from the truth. There is a whole field called recreational mathematics—no, that is not an oxymoron. True, higher mathematics usually requires yearsContinue reading “Recreational Mathematics”

Contradicting Euclid?

Answering a question on quora.com August, 2019:  Why do high levels of maths contradict lower level maths? Why do ground rules of math get broken when you get to higher levels of maths? Unless you had a bad teacher, what was true remains true. There are times when things might seem to change, but ifContinue reading “Contradicting Euclid?”

Writing the King’s Series

February, 2016: Despite good intentions, it has been too long since my last post. So, what is my justification for the wait? What excuse do I offer? Well, I have been publishing. (Bows, and waits for the swell of applause . . . and waits . . .) Last summer I finally put two ofContinue reading “Writing the King’s Series”

“Fantastical” Science Fiction

November, 2015: Fantasy, Science Fiction, and “Fantastical” Science I’ve read lots of science fiction and lots of fantasy over the years. Most times the line between the two is pretty clear. Magic and dragons? Fantasy. Rocket ships and ray guns? Science fiction. However, some writers blur the genres. The best writers can create hybrid genresContinue reading ““Fantastical” Science Fiction”

Where Are the Math Students? Part 2

April 13, 2020: Introducing the Harry Potter School of Mathematics. Intrigued by the idea of a Hogwarts Academy for algebraic wizardry? Unfortunately, not only is this a bad idea, it’s an all too common feature of current mathematical education. Math requires an interesting combination of high level abstract reasoning skills linked with basic rote learningContinue reading “Where Are the Math Students? Part 2”