Having started the year with a diverse group from very different mathematical backgrounds, we were inspired by their concentration, perseverance, and the unique strategies they developed in order to solve the problem. What most impressed us was the number of students that approached us to share tentative solutions at the end of the period. They each had individual interpretations of how the problem should be solved and were eager to share the conjectures that had led them to their solutions. Since first introducing the problem, we have taken it up more in depth as a larger group. Kids have been working in teams based on original ideas they had in common for how a solution might be reached. They are excited, motivated, and eager for our next math class so that they can continue to develop and connect their understanding. Our Grade 7 and Grade 9 students have also since taken up the problem, inspired by the mathematical reasoning skills of their younger peers. If there was ever any doubt about the power of inquiry in a math classroom, these last few weeks have put it to rest for our team. Check out our video!! We'd love your feedback...

## November 15, 2011

### The Candy Problem

I mentioned the Candy Problem in a previous post in which I alluded to having provided the kids with a challenging math problem that even teachers had been taking a significant chunk of time to solve. We presented the problem as part of an end-of-semester formative assessment. We had had many conversations previous to presenting them with this problem about multiples, factors, common factors, number patterns and multiplicative relationships. Our goal was not to evaluate the kids based on whether or not they could complete the problem but to provide them with a means of generating conjectures and demonstrating their thinking process.

Having started the year with a diverse group from very different mathematical backgrounds, we were inspired by their concentration, perseverance, and the unique strategies they developed in order to solve the problem. What most impressed us was the number of students that approached us to share tentative solutions at the end of the period. They each had individual interpretations of how the problem should be solved and were eager to share the conjectures that had led them to their solutions. Since first introducing the problem, we have taken it up more in depth as a larger group. Kids have been working in teams based on original ideas they had in common for how a solution might be reached. They are excited, motivated, and eager for our next math class so that they can continue to develop and connect their understanding. Our Grade 7 and Grade 9 students have also since taken up the problem, inspired by the mathematical reasoning skills of their younger peers. If there was ever any doubt about the power of inquiry in a math classroom, these last few weeks have put it to rest for our team. Check out our video!! We'd love your feedback...

Having started the year with a diverse group from very different mathematical backgrounds, we were inspired by their concentration, perseverance, and the unique strategies they developed in order to solve the problem. What most impressed us was the number of students that approached us to share tentative solutions at the end of the period. They each had individual interpretations of how the problem should be solved and were eager to share the conjectures that had led them to their solutions. Since first introducing the problem, we have taken it up more in depth as a larger group. Kids have been working in teams based on original ideas they had in common for how a solution might be reached. They are excited, motivated, and eager for our next math class so that they can continue to develop and connect their understanding. Our Grade 7 and Grade 9 students have also since taken up the problem, inspired by the mathematical reasoning skills of their younger peers. If there was ever any doubt about the power of inquiry in a math classroom, these last few weeks have put it to rest for our team. Check out our video!! We'd love your feedback...

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Nice work! I was particularly impressed by the last student, who observed that the answer is one less than the least common multiple. This is how a mathematician would solve the problem.

ReplyDeleteThanks so much for the feedback! We shared your comment with the last student in the video who was thrilled. We think that they all have potential as future mathematicians... :-)

ReplyDeleteDo you mind if I quote you and link this post from the Math Thinking blog? See http://maththinking.org

ReplyDeleteNope not at all, that would be awesome! Thanks!

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