Meaningful Homework?
Since the beginning of school, I have been a part of many discussions across grade levels about the value and purpose of homework. Using our homework policy as a guide, teams have developed homework that helps consolidate learning, is rooted in inquiry, allows for a degree of choice, and integrates IT in transforming how homework is communicated and completed. 

At the end of last school year, I posted about Dan Meyer’s work on how to engage students in inquiry-based mathematics through open-ended problem solving. This past week, the Grade 2 team put this into practice while inquiring into how they can organise numbers by using a big bag of Gummi Bears packets. Following this lesson,  they created a video of the lesson and posted it on their blogs to support parents in understanding what is going on in the classroom; allow students to articulate their learning; and create engaging ways to extend learning beyond the classroom. 

This led one student bringing in several boxes of Hubba Bubba for the class to explore just as they had with Gummi Bears. Below shows the progression of the lesson they developed using Dan Meyer’s Three Acts of a Mathematical Story:

• ACT 1: Engage All and Lower Barriers to Entry
• ACT 2: Determine and Overcome Obstacles
• ACT 3: Resolve Conflict and Extend

ACT 2: Determine and Overcome Obstacles
Students began to figure out what they need to know and solve the problem. “What information would be useful to know here?" After students have listed all the information they need in order to solve the problem, they document their exploration to answer them. 

Students then took time to organise their mathematical thinking on paper.  

ACT 3: Resolve Conflict and Extend
The students then were shown the original box, again and discussed and reflected on how they solved the problem.  Whose estimates were the closest? How did they figure out their estimation? How did students solve the problem? Are there any other questions that weren't answered? 

"Yes, you can each have a pack of gum." :-) 

YouCubed:  Mathematical Fluency Without Fear 

Over the past several years, Jo Boaler, Professor at Stanford University, has developed YouCubed, a website dedicated to promoting inquiry- and concept-based mathematics instruction. In her most recent publication, Fluency Without Fear, she posits that a focus on fluency in mathematics is important; however, fluency is often misinterpreted as rote memorization of math facts without any number sense.

• “High achieving students use number sense and it is critical that lower achieving students, instead of working on drill and memorization, also learn to use numbers flexibly and conceptually. Memorization and timed testing stand in the way of number sense, giving students the impression that sense making is not important.”
• “When we emphasize memorization and testing in the name of fluency we are harming children, we are risking the future of our ever-quantitative society and we are threatening the discipline of mathematics (Boaler, pg. 8).”

Fluency Without Fear provides many concrete activities students can engage in to expand their conceptual understanding of number sense. Take a look at the end for some easy and ready-to-use activities for your classes, such as:

• How Close to 100?
• Pepperoni Pizza
• How Many Are Hiding?
• Shut the Box

Conceptual Learning: Number
Hear Jo speak about the importance of conceptual-based mathematics teaching and learning for all our students, particularly with our students who struggle the most.