Problem-Solving
KenKen – a Video Introduction to the 3×3 Puzzle
By Bill Lombard on 22 July, 2010
Here is a four minute video that introduces the 3×3 KenKen. It can be played in HD (720p) for use in classrooms with projectors. KenKen is a logic and mathematical puzzle which is similar to Sudoku. As a math teacher, I use KenKen to teach and reinforce logical, deductive reasoning and to help with number [...]
Posted in Mr. L's Videos | Tagged KenKen, numeracy skills, Problem-Solving, Puzzle, Video | Leave a response
Games and Puzzles that Reach the Kids and Teach the Standards
By Bill Lombard on 27 November, 2009
The title of this post is from a conference session at the California Math Council conference at Asilomar in December, 2009. You may download the handout, with instructions for some activities, through the following link: Games and Puzzles that Reach the Kids and Teach the Standards – download file Puzzles and Games are a great [...]
Posted in Math Activity, Puzzle | Tagged games, logical reasoning skills, mathematical games, mathematical reasoning, number strategies, Problem-Solving, resources for teachers | 3 Responses
What Are the Odds of Losing Your Lunch? – A Probability Adventure
By Bill Lombard on 17 May, 2009
Here’s a neat problem recently under discussion in our school district: “Four kids, each with their own lunch, go on a trip. When it’s time to eat, the four identical-looking lunches are mixed up and the kids randomly choose one. what is the probability that exactly one kid gets his own lunch?” This problem is [...]
Posted in Pedagogy | Tagged intriguing puzzles, logical reasoning skills, marilyn vos savant, monty hall problem, probability, Problem-Solving, visual modeling | Leave a response
Average Rate of Speed – a Simple Solution to a Confusing Problem
By Bill Lombard on 30 March, 2009
Ask people the following problem, and almost all of them will get it wrong: “If a car goes up a hill at 20 m.p.h. and comes down the same hill at 30 m.p.h., what is the average rate of speed for the whole trip?” The “obvious” answer is 25 m.p.h., but that would be wrong. [...]
Posted in Math Activity, Mr. L's Videos | Tagged intriguing puzzles, logical reasoning skills, Problem-Solving, visual modeling | Leave a response
Friday Afternoon Lifesavers – the Teacher’s Best Friend; Part 7, Twins, an Exploration in Congruence and Symmetry
By Bill Lombard on 26 February, 2009
Friday Afternoon Lifesavers are exactly what they sound like: at the end of the week when you and your students are running out of gas, these activities come to the rescue. They are mathematical, engaging, fun, and give the teacher a much-needed break. One way to help kids become better problem solvers is to pose [...]
Posted in Math Activity | Tagged congruent shapes, friday afternoon lifesavers, Problem-Solving, spatial visualization, symmetry | 2 Responses
KenKen News – Will Shortz Adds Puzzle to Daily New York Times Puzzle Page
By Bill Lombard on 9 February, 2009
The New York Times has added KenKen to its Puzzle Page, next to their crossword puzzle, and publish it daily Monday-Saturday. This puzzle launch is accompanied by an article by the NYTimes Puzzle Editor, Will Shortz. Here are some excerpts from Will’s article: “KenKen, which starts in The New York Times today next to the [...]
Posted in Puzzle | Tagged games, KenKen, language skills, mathematical reasoning, Problem-Solving, Puzzle, Will Shortz | 1 Response
Friday Afternoon Lifesavers – the Teacher’s Best Friend; Part 4, A Knight’s Tour
By Bill Lombard on 6 February, 2009
Friday Afternoon Lifesavers are exactly what they sound like: at the end of the week when you and your students are running out of gas, these activities come to the rescue. They are mathematical, engaging, fun, and give the teacher a much-needed break. A Knight’s Tour is a motivating activity/puzzle that works with both over [...]
Posted in Puzzle | Tagged critical thinking, friday afternoon, intriguing puzzles, lifesavers, mathematical reasoning, Problem-Solving, Puzzle | 2 Responses
KenKen Puzzles – Six New Puzzles for You Each Day from 4×4 to 9×9
By Bill Lombard on 25 January, 2009
I just received word that new daily KenKen puzzles are now available at this kenken.com website. You can choose from small puzzles, such as the 4×4, all the way to the mega-size 9×9 for real KenKen enthusiasts. All the puzzles are rated Medium. This serves as a nice companion to the New York Times KenKen [...]
Posted in Puzzle | Tagged KenKen, logical reasoning skills, mathematical reasoning, Miyamoto, number sense, Problem-Solving, Puzzle | 8 Responses
KenKen Conundrum – How Many Possible Puzzles Are There?
By Bill Lombard on 9 January, 2009
On the way to school yesterday an interesting question occurred to me. How many ways are there to arrange the numbers 1, 2, 3, 4 in a 4×4 grid according to KenKen rules? After driving a few more miles, I came up with “the answer” of 288. I shared this with my first class of [...]
Posted in Puzzle | Tagged KenKen, permutations, Problem-Solving, Puzzle, Will Shortz | 17 Responses
Rubik’s Cube – Dr. Jessica Fridrich and the Mathematics Behind the Popular Puzzle
By Bill Lombard on 3 January, 2009
Dr. Jessica Fridrich likes to tackle problems that might seem impossible to others. Rubik’s Cube is an example. She has created what is possibly the world’s most common strategy for speed-solving the popular puzzle, and is the subject of a YouTube video. httpvh://www.youtube.com/watch?v=XwojxzhSlWA The Fridrich Method deals with more than 50 algorithms, which are rotations [...]
Posted in Puzzle, Website Resource | Tagged algorithms, fridrich method, jessica fridrich, Problem-Solving, Puzzle, speed cubing | Leave a response
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