Mr. L's Math
Tools & Techniques for Math Teachers and Students
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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

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

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

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

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

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

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?

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 Speed Cubing - from the New York Times

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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Popular Posts

  • Math in Daily Life – A Website Showing the Many Everyday Uses of Mathematics 27 comment(s)
  • KenKen Conundrum – How Many Possible Puzzles Are There? 17 comment(s)
  • KenKen Puzzles – Six New Puzzles for You Each Day from 4×4 to 9×9 8 comment(s)
  • GeoGebra Prim – a Simpler Version of GeoGebra for Younger Students 8 comment(s)
  • Math & Teaching Quotations 7 comment(s)
  • George Polya, Master Problem Solver – a Model for All Math Teachers 5 comment(s)
  • Pentomino Tessellations: Tiling the Plane Helps Build Problem-Solving Skills 4 comment(s)
  • KenKen – A New Puzzle for Sudoku and Kakuro Enthusiasts 4 comment(s)
  • Key Facts to Know in Algebra 1 4 comment(s)
  • 20 Free Online Math Games for Students 4 comment(s)

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