Contests in Progress:
There are various meanings and significances for the number 999. For one thing, it's the emergency phone number in Great Britain and some other places. Another UK related but much less important usage was as the name of a London punk-rock band quite some while ago.
Perhaps of greater interest is that 999 is a so-called Kaprekar number. An adapted version of the Wikipedia definition of a Kaprekar number is as follows: "A natural number in a given number base is a Kaprekar number if the representation of its square in that base can be split into two parts that add up to the original number." So, quite trivially 999 squared in base 10 is 998001, which can be split into 998 and 001, which add up to 999. Simple!
We'll omit the more fanciful descriptions of 999 as an "angel number" and instead tell you why we've chosen this title for today's column, which features a very special problem by grandmaster composer Brian Hinkle. It has nine pieces per side, or 9x9, and of those pieces, 9 are kings, hence, 9x9x9 or 999.
Here's the position.
Brian would prefer no spoilers, so we won't say anything further, not even whether it's easy, medium, or hard (although, since it's from Brian, "easy" would surprise us). See how you do with it. Take 999 seconds, 999 minutes, or however long you wish. Try 999 different approaches. But certainly you only need to click your mouse once--- not 999 times--- on Read More to see the solution.[Read More]
Major Malcolm Wheeler-Nicholson was an interesting character to say the least. After an abruptly terminated military career, he went on to become a prolific writer of both fiction and non-fiction, such as the book shown above, published in 1943, which analyzes the strategies of the Axis powers. Notably, some accounts point to him as the founder of DC Comics.
But sometimes the hard way is the only way. The 65th in Bill Salot's stunning "Unofficial World Championship" checker problem contests is here, and it bears the title Strategic Non-Strokes. Bill says these positions are "won the hard way" without resorting to a big stroke. We won't say the wins are "ground out"--- that reminds us too much of doing long division by hand in grade school--- but technique and insight is definitely required.
You can view all the problems on the usual contest page. Try them all and then be sure to vote for the one you think should be the winner.
As an introduction to the contest, have a look at the problem below.
Can you win this ... the hard way? Or any way? See how you do and then let your mouse click hard on Read More to see the solution and notes. After that, head on to the contest page for four more great problems.[Read More]
The drawbridge goes back a long way. In medieval times, castles might be protected by a moat spanned by a drawbridge, which, if the castle were to be attacked, would be pulled up to deny access to the invaders. In the photo above, a more modern use of a drawbridge is shown; when a large vessel needs to cross the roadway, the bridge is pulled up to allow passage.
A bridge in checkers, of course, is something different. Bridge positions have been heavily analyzed. Whole books have been written about them. They certainly can be tricky.
Today's speed problem is about a bridge, and White is seeking a draw--- hence, it's a "drawbridge" position. It's not very difficult and is within range of the thoughtful novice. Old pros will see it right away.
Got it? Did you cross the bridge or was it a bridge too far? No matter. Cross your mouse over to Read More and click to verify your solution.[Read More]
In our modern world, things that are "no problem" are perceived by some to actually be a problem. The very phrase itself, "no problem" falls into this category. We are told by some "experts" that when we say something is "no problem" that's a negative statement, because it contains the word "problem" and will cause the listener to start thinking that there actually might be, or could have been, a problem.
We think this is a bit far-fetched and another example of people deliberately looking for a "problem."
Well, modern "experts" notwithstanding, we won't hesitate to say that today's speed problem is "no problem." Of course, it's a checker problem--- what else?--- but solving it should be no problem at all.
As always we like to provide a range of material for a range of checker playing abilities, from eager novice to aspiring amateur to advanced expert and even problems at the grandmaster level. Today's problem is at the novice level, but those of you with more advanced skills might wish to see how quickly you solve it. A skilled player should solve it in a mere couple of seconds, while a novice may have to think about it a little. But it's all to the good and hopefully a bit of checker fun.
When you've got the solution, it will be no problem to click on Read More to double-check your answer.[Read More]
The fellow above is committing a felony and we sure hope he gets caught. The poor woman victim is going to have a nasty surprise, and a lot of headaches, when she realizes her wallet is gone, with all her cash, credit cards, and documents. Theft, especially from someone vulnerable, is truly reprehensible.
However, in our game of checkers theft might bring you praise instead of jail time, although the victim still isn't going to be happy. In this, the 64th of Bill Salot's amazing problem solving competitions, theft--- of the checker variety--- is the theme. You can access the contest problems here. Do try all the problems and be sure to vote for the one you think is best.
Mr. Salot sent us a "teaser" problem to introduce the concept.
A rather nice little challenge, so try it and don't rob yourself of some real solving pleasure. When you're done, you can steal a look at the solution by clicking on Read More.[Read More]
Things have improved for the working person since last Labor Day. Unemployment is low and many employers are desperate to make hires. Wages are up at least a little, although inflation is a big worry and fingers crossed that there is no recession.
But we should always remember the reason for the Labor Day holiday, which is to recognize the millions of working people that have made and continue to make America a great nation. Without the hard workers who fill every conceivable kind of job and perform every conceivable type of task, where would we be? Each and every worker is important, and each and every worker deserves respect and recognition.
Checkers in the past has been thought of as the working person's mind game. We like that description. So to celebrate the day, as we always have in the past, we turn to an American problem composer, Tommie Wiswell, and a composition he calls All Around the Mulberry Bush.
We'll give you a small hint by saying it's the patient and careful worker that brings home the bacon. Work away at this one and see the fruits of your labor. Clicking on Read More will show you the solution.[Read More]
We've all heard the expression "easy as pie" to refer to something that is indeed very easy. But finding the origins of this expression is not quite as easy as pie.
There are a couple of theories. In 1855 the expression "nice as pie" appeared in print. In 1884 Mark Twain wrote "polite as pie." In 1886 "it's like eating pie" was found in Sporting Life. Finally in 1887 we see "it's as easy as pie" in the Newport Mercury.
Another idea traces back to pre-Reformation England, when the rules for computing the date of Easter were called "Pie." The theory goes on to speculate from the context that "Pie" originally meant something overly complicated and morphed into something that was in fact very easy. This seems a bit of a stretch.
And the most unusual idea of all relates the expression to the Maori word "pai" which means "good" and perhaps led to the Australian expression, in the 1920s, "pie at" or "'pie on" which meant "to be good at something" which was itself perhaps "easy as pie." This also seems a bit contrived.
We'll go with the explanations from the 1800s, and present a speed problem which is indeed as easy as pie.
Most players will solve this instantly. See if you solve it at first glance. Novices may have to think a bit but also should be able to get it. No matter your status, treat yourself to a piece of pie after you've verified your solution by clicking on Read More.[Read More]
Who doesn't love a good mystery? Who, at one time or other hasn't fancied being a detective and coming up with the cleverly hidden solution to some heinous crime?
Today we're pleased to present a very special entry in Mr. Bill Salot's long-running series of outstanding checker problem composition contests, a series he calls the Unofficial World Championship. Each contest has featured a theme, but today, we're not revealing what it might be. It's a "mystery" theme. Can you solve all the problems and figure out the theme? Thankfully, no terrible crime has taken place but the mystery is nonetheless intriguing, fascinating, and perhaps even worthy of Mortimer Holmes himself (as featured in our series, The Checker Murders)!
To start you out, here's an example. Willie Ryan wrote that this problem, published by George H. Slocum in 1894, was "one of the most exquisite stroke problems on the record." The problems entered in Contest 63 demonstrate some of the same characteristics.
Can you get it? You can always click on Read More to see the solution, but we won't give away the Mystery Theme. Be sure to go to the contest page to find our three challenging contest problems. Don't forget to cast your vote for the one you like best.[Read More]
In today's Checker School column, we're going full-bore academic. Here's the abstract from a recent paper entitled When Problem Solving Followed by Instruction Works: Evidence for Productive Failure by Tanmay Sinha and Manu Kapur.
"When learning a new concept, should students engage in problem solving followed by instruction (PS-I) or instruction followed by problem solving (I-PS)? Noting that there is a passionate debate about the design of initial learning, we report evidence from a meta-analysis of 53 studies with 166 comparisons that compared PS-I with I-PS design. Our results showed a significant, moderate effect in favor of PS-I (Hedge's g 0.36 [95% confidence interval 0.20; 0.51]). The effects were even stronger (Hedge's g ranging between 0.37 and 0.58) when PS-I was implemented with high fidelity to the principles of Productive Failure (PF), a subset variant of PS-I design. Students' grade level, intervention time span, and its (quasi-)experimental nature contributed to the efficacy of PS-I over I-PS designs. Contrasting trends were, however, observed for younger age learners (second to fifth graders) and for the learning of domain-general skills, for which effect sizes favored I-PS. Overall, an estimation of true effect sizes after accounting for publication bias suggested a strong effect size favoring PS-I (Hedge's g 0.87)."
If you managed to follow all of that, you might wish to seek out the full paper, which is easily found on-line and is freely available. But what's this got to do with our game of checkers?
As it turns out, quite a bit. Should we study a concept in a checker book (like, for instance, fourth position) and then solve problems based on that theme? Or should we try some problems first, likely encountering failure, and only then go back and study the tutorial material? The paper suggests the latter for all but the youngest age groups.
Well, then, let's put this into practice, shall we? Here's a problem from Richard Pask's best-selling (in checker book terms, at least) Checkers for the Novice. If you're an expert player, you'll find the problem easy and you won't need the instruction. But for the rest of us --- what learning method will work best?
Choose your approach. See what resonates with you. You can actually experiment with the entire book, if you wish.
We won't give the solution here; it's Diagram 57, part of Lesson 11 in Mr. Pask's book. If by any chance you don't have a copy, it's a free download.
So, what method did you choose? What was the easiest way for you to learn the concept demonstrated in this problem? Book first? Problem first? Do let us know what you think.
Although this column is being written some weeks in advance, it looks as though 4th of July 2022 is going to be a vast improvement over the past Covid years. Although we know that Covid will never be completely gone, we're back to at least some semblance of normal, and there will be 4th of July parades and outdoor celebrations. And while the world situation and the economy could be better, we're happy for what we have, and most of all we're happy and proud to be Americans and we love celebrating the anniversary of our nation's independence.
On such holidays we often turn to another American patriot, the great champion Tommie Wiswell. Today we have a problem he called Blitz, and you'll see why when you solve it.
See if you can win it. You don't have to play "blitz" --- take all the time you want, but when you're finished, definitely blitz your mouse over to Read More to see the solution.[Read More]