Math Class for Educators
Problem-Based Learning/Inquiry
Below is a description of open and parallel problems, some examples of both types problems, as well as some links to sites where you can view many more, ready-to-use examples.
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This website includes open and parallel problems for Kindergarten-Grade 3 and Grades 3-5 students: Parallel and Open Task Problem-Solving Math Bank
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The University of Waterloo posts problems for Grades 5-12 students every week, aptly called "Problems of the Week". In addition to a new problem every week, the site also includes a bank of past problems that can be utilized: Problem of the Week
Open Problems
Parallel Problems
- Problems that allow for many possible entry points and solutions.
- They encourage students to think of more than one answer.
Examples:
Create a pattern. What is the rule for your pattern?
Your pattern starts at 5. What is your pattern and pattern rule?
- Similar problems that are presented together, but that vary in complexity and difficulty.
- They provide choice for students.
Example:
Mild: Create a 4-digit number. Represent it in as many ways as you can.
Medium: Create two 4-digit numbers. Compare them.
Spicy: Create two 5-digit numbers. Compare them.
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