25 Thinking Questions | About.com: Mathematics | Archimedes' Lab | Canadian Mathematical Society - Crux Mathematicorum with Mathematical Mayhem | Cyberchase | Education World | Galileo.org | Greg Tang | Jayden's Rescue | More Puddle Problems For Canadian Schools | NCTM | Noyce Foundation | NRICH | Peter Liljedahl | Photograph Math Problems (K-12) | PIMS | Problem Solver | Singapore Math Word Problem of The Week | TEDTalks | U of Waterloo | Wikipedia | Yukon Education Resource Services

25 Thinking Questions

(Grades 1-3)

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Introducing the new Canadian 25 Thinking Questions series for Grades 1, 2 and 3. These grade-specific activities are designed to teach the big concepts of mathematics using concrete manipulatives.

Based on the popular 20 Thinking Questions series, these innovative resources focuses on students?use of specific manipulatives to solve problems with multiple solutions or methods.
  • Students explore abstract concepts through manipulation of concrete objects
  • Teaching tips
  • Each book contains 25 challenging investigations that emphasize problem-solving using manipulatives
  • The series is correlated to provincial expectations/outcomes
  • Provides students with the tools to develop the foundation of understanding necessary to ensure success with future mathematics learning
  • Activities for individual and cooperative group learning
  • Activities make use of the following manipulatives: Interlocking Cubes, Pattern Blocks, Attribute Blocks, Sorting Treasures, Base Ten Block

To order this product please download the order form.

Sample Material
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Grade 1
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Grade 2
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Grade 3

Note: YTA & YEU members can ask Paula.Thompson@yesnet.yk.ca for a copy.

About.com: Mathematics

Math Stumpers
These problems are aimed at all ages and promote problem solving, decision making and reasoning.

Archimedes' Lab

Solve it & win a prize

Canadian Mathematical Society - Crux Mathematicorum with Mathematical Mayhem

Senior High and Beyond http://cms.math.ca/crux/


Education World

What can students learn from and enjoy at the same [[#|time]]? Puzzles, that's what! Puzzles have an inherent appeal to students. Learn how you can use that appeal to sharpen students' thinking and problem solving skills, develop new concepts, and reinforce skills in mathematics. For more information about teaching with puzzles, check out http://www.educationworld.com/a_curr/strategy/strategy064.shtml.

It All Adds Up Puzzles Archive (Grades 3 and up)

Math Cross Puzzles Archive (Grades 3 and up)

Sudoku Puzzles Archive


Math Fair Problems (Grades 1-12)

Greg Tang

Greg Tang has written a series of books that use rhyme and riddles to get kids thinking about creative problem solving. Titles include:
All of these books, with math lesson plan inserts, are in the Teachers' Professional Library. Consider signing some of these books out during April since it is Poetry Month or any time of year!

Jayden's Rescue

Jayden's Rescue
Jayden's Rescue

YTA and YEU members can sign the Jayden's Rescue kit (K 3767) out of the TPL.

 Description:  Kit: 31 copies of book (123 p.), 1 reproducible student
               booklet, 1 board game page, 1 teaching manual.
 Summary:      Jayden's rescue is a combination of mathematics and
               literature. This is the story of three kids who are on a
               quest to free a queen while solving mathematical puzzles. At
               the beginning fo the book, Alex, the main character,
               experiences a fear of, and poor self-confidence in,
               mathematics. As he and his friends solve problems to unravel
               the mystery, he gains confidence in mathematics and a well-
               developed independent problem-solving ability. The problems
               in the book could be presented to a class in several
               different ways. A few are: students solve the problems before
               reading the story; students read the story, then solve each
               problem using a different strategy than the one given in the
               book; and teacher reads the story out loud and pauses for
               problem solving breaks as they arise in the book.

More Puddle Problems For Canadian Schools

Challenge your students with these new Canadian Puddle Questions investigations.

  • Ten brand new and challenging investigations in each book written and field tested in Canadian schools
  • Blackline masters of student pages are written in English and French
  • Investigations at each grade level focus on key math concepts common to all provincial curricula
  • Scoring rubrics follow provincial assessment standards
  • Student exemplars, teaching notes and curriculum correlations provided for each problem
  • CD includes assessment rubrics for Atlantic and Western provinces and territories

To order this product please download the order form.

Follow the Links Below To View Sample Material For Each Grade:
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Note: YTA & YEU members can ask Paula.Thompson@yesnet.yk.ca for a copy or More Puddle Questions For Canadian School. Please specify the grade.


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Encourage students to collaborate with family, in hopes that it may become an on-going effort. For middle-aged students, Figure This! has an assortment of problems with hints and solutions! For more problems and solutions, see the Problem Database chock full and sorted by grade band and mathematics content topic. Consider sending a collection home specific to students' needs!

YTA and YEU members: E-mail me at Paula.Thompson@yesnet.yk.ca if you would like a copy of the following article:
  • "Turning Traditional Text Book Problems Into Open-Ended Problems" from Mathematics Teaching in the Middle School November 2003

Weekly Problems

Primary http://www.nctm.org/resources/archive.aspx?id=3604&journalid=4
Intermediate http://www.nctm.org/resources/archive.aspx?id=3604&journalid=3
Secondary http://www.nctm.org/resources/archive.aspx?id=3604&journalid=2

Noyce Foundation



The NRICH project aims to enrich the mathematical experiences of all students, from 5 to 19, by offering them the opportunity to explore interesting and challenging mathematics.
They aim to foster a community where students can be involved and supported in their own learning, and where effort and achievement are celebrated.
  • Weekly Problem
  • Find Problems By Topic
  • Live Problems - Have you sent us your solutions?
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    Don't forget that you can send us your solutions to the current live problems which are linked in Trending. See the upper primary list here, the lower secondary list here and the upper secondary list here. This article gives you some guidance on what members of the NRICH team look for when considering solutions to publish on the site.
  • Freebies
    • Postcards - The NRICH postcards are shown below, listed roughly in order of difficulty, easiest first. Click on the letter to see a larger version. Copies can be obtained for the price of post and packaging by emailing nrichfreebies@maths.org , stating the letters of the postcards you would like to order.
    • A Sorry - this card is temporarily unavailable
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      B Sorry - this card is temporarily unavailable
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      C Sorry - this card is no longer available
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      D Sorry - this card is no longer available
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    • Posters

Peter Liljedahl

  • Associate Professor, Faculty of Education, Simon Fraser University, Burnaby, British Columbia Canada
  • Numeracy Tasks for grades K-12.

Photograph Math Problems (K-12)

Consider sending me the following items to post on the blog:
  • a photo
  • a mathematical question(s)
  • curriculum connections

More info:


The November 2010 problems have just been posted on the PIMS Problem Site. Students still have about 2 weeks to send in solutions to the October 2010 problems. The URL is http://www.pims.math.ca/education/math_problems/.

The problems are meant for BC students in grade 11 or below (the student may be taking Math 12). This is open to Yukon students now too. The website will be updated soon to reflect this change.

The problems are generally not easy, though they try to make the first two accessible. With the student's permission, how the student does on the problems could be communicated to the teacher.

New problems are posted each month. They are due at the end of the months from October through May. Solutions are posted shortly after the submission deadline.

Students get individual feedback about their solutions.

Problem Solver

Activities for learning problem-solving strategies. The Problem Solver Updated Edition 2008 teaches ten strategies of problem solving and a four step approach to problem solving. Great for teachers who are unfamiliar with teaching problem-solving strategies. A CD-ROM with additional practice problems makes this the most extensive problem-solving program available. Teachers can now print blackline masters or use them on an interactive white board. Click on the links below to download the following:
Note: YTA & YEU members - This resource is in the Catalogue of Curriculum Materials and can be ordered via the regular ordering process through Resource Services.
Problem solver 1: activities for learning problem-solving strategies, updated 2008
Problem solver 2: activities for learning problem-solving strategies, updated 2008
Problem solver 3: activites for learning problem-solving strategies, updated 2008
Problem solver 4: activities for learning problem-solving strategies, updated 2008
Problem solver 5: activities for learning problem-solving strategies, updated 2008
Problem solver 6-8: activities for learning problem-solving strategies, updated 2008

Singapore Math Word Problem of The Week

Test your skill! Challenge your students! Try SDE's Singapore Math Word Problem of the Week. Each week, one new problem for each grade level (1-6) is drawn from SDE's workbook series, Word Problems for Model Drawing Practice. Solutions are given the following week. Try one now! Check out the previous week's solutions to see how it works too.


Ideas Worth Spreading

About This Talk: Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. At TEDxNYED, Dan Meyer shows classroom-tested math exercises that prompt students to stop and think.
About Dan Meyer: Dan Meyer is exploring the way we teach teachers to teach kids. Full bio and more links.

U of Waterloo


Unsolved mathematics problems .

Yukon Education Resource Services

Our Collection - Do a keyword search with "Problem Solving" at http://www.resourceservices.gov.yk.ca/?lang=en&module=ourcollection.
This book is also available in French.
external image 0205417973.jpg The K-3, 3-5, 5-8, and K-8 books are all available through the regular ordering process through Resource Services or from amazon.ca.