Two documents with recommendations for professional development

First, here is the final report from the Gearing Up conference at the Institute for Mathematics & Education held in April, 2011. It is very little changed from the draft that I put up a while ago: 2011_12_06_Gearing_Up.

Second, here is a report from a meeting organized by Paola Sztajn, Karen Marrongelle, and Peg Smith: http://www.nctm.org/uploadedFiles/Math_Standards/Summary_PD_CCSSMath.pdf

Task writing contest

At the Illustrative Mathematics Project, we have been planning to invite people to submit tasks for a “standard of the week.” We decided to make it a bit more interesting, and would like to announce the first round of our Standards Task Writing Contest beginning Tuesday, December 13th, 2011. The theme for this week is the K-8 functions stream (see pp 21-23 in “Examples of Structure in the Common Core State Standards’ Standards for Mathematical Content” by Jason Zimba). Some of the standards in this stream already have illustrations (see 6.RP.3, 7.RP.2, 7.RP.3, 8.EE.5) but most do not. People are invited to submit tasks for these standards:

  • 3.OA.9
  • 4.OA.5
  • 5.OA.3
  • 6.EE.9
  • 7.RP.1
  • 8.F.4

Authors of tasks selected for inclusion in the Illustrative Mathematics task bank will receive $200 per task (not per author, sorry!) and must be emailed by Monday, December 19th midnight in your local time zone to illustrativemathematics@gmail.com with subject line “Submission for Illustrative Mathematics Task Writing Contest Dec 12 – Dec 19, 2011.” If your task is accepted, we will notify you the week following the deadline. We may ask you to work with us to revise the task before we accept it.  People may submit multiple tasks. Any questions about the contest should be sent to the same email address with subject line “Question about Illustrative Mathematics Task Writing Contest Dec 12 – Dec 19, 2011.”

How it Should Look

All task submissions must include at least one complete solution. We will give extra consideration to tasks written by pairs or teams of people, tasks that have natural connections to other tasks related to this stream, and tasks with insightful commentary. Please submit tasks in word format or LaTeX, along with a pdf if possible. Here is a word_template. 

Things You Should Know Before Submitting

Writing a great task is an art, and tasks often benefit from multiple revisions. It would be helpful to read some of the tasks that have already been accepted at http://illustrativemathematics.org. To learn more about what makes a good mathematical task, read this article by Kristin Umland.

We look forward to reading your tasks!

New Project: Common Core Toolkit

Hello Common Core Enthusiasts!  My name is Ellen Whitesides and I am working for Bill McCallum at the Institute for Mathematics and Education (IM&E) at University of Arizona on all of our projects related to the Common Core.  You can check out our ongoing projects here:

http://ime.math.arizona.edu/commoncore/

IM&E is working as a part of a collaboration between NCTM, NCSM, ASSM, AMTE, CBMS, Achieve, AFT, IAS/PCMI, MfA, NAGB, and NEA to produce a day long professional development on the Common Core. The effort is authored by teachers across the country, will be field tested by teachers, and ultimately facilitated by teachers with teachers as the targeted audience. The toolkit will have activities hitting four main goals; to see structure in the standards, to understand the Standards of Mathematical Practice, to align tasks to the standards, and to understand the language used in the standards. Activities will be developed for Elementary, Middle School, and High School teachers. As we develop tools and activities for this project we will be posting them here in the Tools section of the blog so check back soon for PD tools to further explain the Common Core in Mathematics.  The toolkit should be ready for initial pilot testing this summer so stay tuned if your school or district might be interested in participating as a beta testing site for activities designed for the Toolkit.

What we’ve been working on …

It’s a long time since I posted something, but today I have some exciting news. Some of you may have noticed that about a week ago the Illustrative Mathematics Project went live with the next version of its website (illustrativemathematics.org). The site has a set of tasks for one standard at each K–8 grade level. More tasks will be appearing over the coming weeks.

Eventually the sets of tasks will include elaborated teaching tasks with detailed information about using them for instructional purposes, rubrics, and student work. Such a fully developed set of tasks will be what we call a Complete Illustration of the standard. Right now we are trying to build up our collection of Initial Illustrations of standards, which will have the following characteristics:

  • A minimum of 4 tasks (although typically 5-6 or more depending on the standard).
  • Most will be more like assessment tasks or brief teaching tasks. At least one will be the kernel of an instructional task that can eventually be more fully developed and elaborated with the help of teachers using it in classrooms.
  • The tasks in the set will vary in difficulty. Some but not all will be scaffolded.
  • A balance in computational/algorithmic and conceptual tasks.
  • An appropriate number of contextual problems for the standard.
  • Most of the tasks will illuminate the “center of mass” of the standard, and a few will light up the periphery.
  • At least one task will bridge in some way to another standard, ideally across domains or grade levels.

The new site also allows users to register. This is not necessary to see the tasks, but if you register you will be eligible for news bulletins and various opportunities for involvement in the project that will arise over the next few months.

Go to illustrativemathematics.org to see the new goodies. (This is still a beta site, and you may encounter slowness or other problems from time to time.)

Progression on Ratios and Proportional Relationships

Here is a draft of the Progression on Ratios and Proportional Relationships. This one took a long time because there is a lot of conflicting and confusing language about ratios and proportional reasoning out in the field, and we struggled with decisions about the extent to which we should try to standardize the language. So comments on this draft would be especially appreciated. [Corrected file uploaded 13 February 2012]