Tag Archives: modelling division

Fair Shares – Teaching Division in Grades 4-7

Fair Shares - Division ResourceHello, all…

I am pleased to announce the publication of my latest teacher resource book called Fair Shares – Teaching Division in Grades 4-7. The book features tasks, games and problems for intermediate aged students focussed on making sense of division.

Through stories, models, pictures and words, students are introduced to the idea of division as sharing and division as grouping.  Lessons include opportunities for talk, for exploration and for practice in the form of games and engaging tasks across the grades.  The lesson sequences are designed to address division of whole numbers and decimal numbers, to make meaningful connections to fractions and decimals in context and to support students in seeing patterns in quotients.  Lessons map out how to use manipulatives to model division situations, and literature connections to introduce great division contexts. Match to the WNCP curriculum, Fair Shares – Teaching Division in Grades 4-7 outlines a range of assessment tools to allow teachers to gather evidence – quickly and without stress on the part of the students – to show what their learners know and can do.

To order online, click here.

Thank you, as always, for your support.




Cuisenaire rods ROCK.

Here are some of my favourite Cuisenaire rod tasks for elementary.  There are so many cool things to be done with these materials, I can’t begin to delve into it all here, but start with some of these ideas and see what kinds of thinking your students come up with.  Remember it’s critical to record the numbers to accompany with your students’ constructions – modelling for them how a mathematician would record their reasoning is so very important.  It allows students to formalize their learning and make connections to the “naked math”…  (A phrase a dear friend of mine used to use often.  Attention-getting, no??)

As well, I’ve uploaded are some Cuisenaire provocations — images to inspire creativity that your younger students may enjoy.  To keep the play moving mathematically, try placing one or more of these pictures at the table where students are exploring the materials.  You can suggest they might like to try making something like the image, but it’s much more interesting to simply place the image on the table and walk away.  Your students will no doubt do something with the picture – and it’s oh-so-fun to observe them in action!

Look around your school for Cuisenaire rods – it’s not unusual to find them stashed away in a cupboard somewhere, forgotten.  They are a classic manipulative and one with great possibilities.  If you find them and want to figure out ways to use them, don’t hesitate to contact me.  I’d be happy to provide a workshop for your school staff, or to do a series of demonstration lessons with students across the grades with these versatile materials.

My favourite place to order Cuisenaire rods is through Spectrum Educational.  Be sure to get the wooden materials only – they truly demonstrate the relationships in the most compelling way.  Here’s a link to a class set of wooden materials from their on-line catalogue. For those of you in the lower mainland of BC, be sure to call Collins Educational — or drop by to pick some up.  They’re always happy to help.

Enjoy a lovely weekend.