Saturday, October 01, 2022

50 Dangerous Things

Were you a "free-range kid?"

Free-Range Kids are largely left alone to explore the world independently. That includes trying things out, making mistakes, finding joy in exploration and experimentation, getting hurt on occasion, surviving those occasions, learning from errors, and growing up confident and competent in handling oneself.

We boomers were free-range kids. Gone after school until sunset and dinner time, off doing who knows what, who knows where, with whomever we pleased. 

Riding bikes miles away and speeding downhill in t-shirts, jeans, and flip-flops with no helmets (bike helmets weren't yet a thing; we wouldn't have worn them anyway). Cimbing across tall hills, shooting BB guns at soda cans, throwing rocks and clods of dirt at each other (and getting hit, painfully, on occasion). Exploring underground rain tunnels and coming up out of manholes, scaling tall school buildings after dark, hiking cross-country in Boy Scouts with only a map and compass, etc. All this was unremarkable and everyday.

Along these lines, 50 Dangerous Things (You Should Let Your Children Do) is medicine for modern parental paranoia. 

From the amazon description:

"In a time when children are too often coddled, reminds readers that climbing trees is good for the soul, and that a pocket knife is not a weapon. Full of exciting ways children can explore the world around them, this book explains how to “Play with Fire” and “Taste Electricity” while learning about safety. With easy-to-follow instructions, it includes:

• Activities, like walking a tightrope

• Skills, like throwing a spear

• Projects, like melting glass

• Experiences, like sleeping in the wild

As it guides you through these childlike challenges and more, the book will inspire the whole household to embrace a little danger."

Other recommended "dangerous" activities include learning to whittle, tie knots, make fires, stand on the roof, find beehives, go underground, perform on the street, cross town on public transit, sleep in the wild, make a rope swing, climb a tree, play with dry ice, drop from high places, and more.

Along the same lines, I recommend The Coddling of the American Mind, by Jonathan Haidt.

Haidt's book picks up where 50 Dangerous Things leaves off, and elucidates how unnecessarily frightened helicopter parenting – smothering kids with constant supervision – is actually far more harmful to young people than allowing them to take calculated risks and build confidence and independence in the process.

An important book for over-anxious parents raised by over-anxious parents.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Thursday, September 01, 2022

Gödel, Escher, Bach

Douglas Hofstadter's mind-bending tome about self-reference and meta-thinking published in 1979 is a classic in recreational mathematics. Getting all the way through it is a tantalizing, formidable intellectual challenge.

Self-reference applies to ideas that loops inward (outward?) on themselves. 

Some examples:

This sentence is false. Seeing one's own eyeballs (without using a mirror). Brushing the bristles of a brush with that same brush.

Hofstadter compares the works of three geniuses: Kurt Godel in the domain of pure mathematics, M. C. Escher in the world of fine art, and Johann Sebastian Bach in the realm of western classical music. The similarities are, indeed, surprising and impressive.

All three masters dealt with the concept of circular self-reference, but in different ways. Godel proved the illogical nature of mathematics (which is, itself, based on logic); Escher was famous for stairs that climbed upward to the bottom of the stairs and identical tessellating foreground and background images that seem, somehow, to "cause" each other; Bach would take a short series of notes, and then invert the same motif, play it backwards, string these versions together, etc.

The book is highly intriguing, almost addictive. But it isn't for the faint-of-heart or faint-of-mind. I tried to finish it. Wasn't able to. Made me dizzy. Read it at your own risk.

Buy GEB here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Monday, August 01, 2022

Get a Head Start

A head start in life is a great advantage, and nowhere is this more clear than in the educational realm.

For example, any parent with a good high school education can teach his or her child to read at a very early age. See: Teach Your Child to Read in 100 Easy Lessons.

Likewise, any child who can draw stick figures with a crayon can learn to form letter shapes.

Simple mathematical concepts can be taught as soon as a child can count. Counting objects is the first step in acquiring "number sense," a visceral feel for numbers essential to mastering mathematics. The goal of all early math education should be the development, strengthening, and maintenance of number sense, along with the ability to do accurate mental and paper/pencil calculations and estimates. These aims should be ardently pursued and achieved in grades K-6.

Parents can work with eager children at home to provide them an early start. My own daughter was reading at age four, mastering math facts at five, operating with negative numbers at six, typing at seven, and doing algebra at eight.

Not all parents are professional academic tutors, as I am. Still, it doesn't take much forethought for most parents to provide their children a leg up in their schooling.

For those who wish to have professional guidance, I offer private consulting for parents of young children. In addition to providing general information about schools, early education, and tutoring at home, I help parents design and implement individualized, age-appropriate academic head start plans tailored to each child's particular needs and interests. You can contact me here for more information about this unique service.

An good head start is a great gift, one of the best parents can offer their children.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Friday, July 01, 2022

Mad Minute

Mastery of the basic facts of arithmetic is the first step toward mathematical fluency, and is a central early academic goal. 

A "Mad Minute" is a simple, daily exercise for elementary school students striving to memorize their basic math fact "tables." Mad Minute worksheets contain several dozen questions using the same operation (addition, subtraction, multiplication, or division), and are an excellent way to provide kids with daily practice.

To complete an exercise, students are given one minute to answer as many questions as they can. Each correct answer earns one point. After the minute is over, the number of correct answers is counted and written atop the page. Speed, therefore, is essential to a high score. However, students stop earning points after the first mistake! So accuracy is even more important. 

[Note: Mad Minutes introduce and reinforce two very important rules in studying mathematic – speed is important but accuracy is even more important – and are therefore doubly beneficial.]

Mad Minutes should be assigned at home each day (one for each operation, if possible, according to the student's current ability).

Mad Minute exercises are also great ways to track progress, since each completed exercise acts as a current assessment of mastery. Students might enjoy recording their scores in a 2-column table, and visualizing them using a 2-D chart with dates along the horizontal axis and scores along the vertical – an excellent way to introduce the concept of numbers as data. You can find large-format graph paper here and here.

Mad Minute books, providing multiple worksheets for each operation, have been around for decades. Click here to buy the latest on amazon.

Free downloadble/printable basic number fact worksheets, along with online drills and simple games, plus more worksheets and drills covering advanced work with operations, decimals, percents, and fractions, and simple mental exercise games like Make a Match and Find It, can be found on lizardpoint.com here.

Hint: Downloaded files are easier to work with, since workbooks eventually fill up and need to be re-purchased. Mad Minute exercise files, on the other hand, like those available on lizardpoint, can be printed over and over again, as needed.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, June 01, 2022

The Great American Bathroom Books

Imagine a single-volume guide to a classic liberal arts education. You get essentially that in The Great American Bathroom Books, Volume 2.

Containing two-page thumbnails of all-time great written works, readers get a taste of famous titles without having to invest hours in the process. Single-sitting synopses are well-organized and well-written. Think of each as a summary of a summary, a shortened "Cliff Notes." 

Volumes 1-3 include main plot points, central themes, and condensed analysis of classic works of literature, important novels and plays, and popular recent non-fiction titles. All but Volume 3 are out of print. Read the second volume, first.

But a good used copy on amazon here or eBay here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.