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!

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]

Drafty draft of Fractions Progression

Here is an early draft of the progression for Number and Operations—Fractions. Unlike the other drafts I have posted, this one does not yet incorporate all the feedback we got from initial review, so more than usual I am interested in your comments. In particular I would like to know if it is too dense and needs more explanation, or if it is just right.

If you are reading it with Adobe Acrobat, you will need the latest version (10.1). If you are using a Mac, you can also use the native Mac pdf reader Preview, or the open source pdf reader Skim.

We hope to get drafts of the remaining K–8 progressions out soon; thank you for your patience.

[File updated 2/5/12 to fix printing problems.]

[File updated 9/19/13 with corrections.]

[31 July 2012] This thread is now closed. Please ask questions here.

Examples of structure in the content standards

Here is a draft of a document by Jason Zimba describing structures in the content standards: CCSS Atlas (in docx format, here is a pdf of the same document). It incorporates some of Jason’s writings that I have posted before (e.g. the stuff about pinnacles, and the graphic of flows leading to algebra), but has a lot of new material as well. Well worth reading for those thinking about assessment and curriculum based on the standards.

[Edited 2011/7/09 to add pdf file.
Documents Edited 2011/12/01]

The data part of the Measurement and Data Progression

We decided to combine the geometric measurement part of the MD Progression with the Geometry Progression (coming soon!). Here is a draft of the data part of the MD Progression (covering both categorical and measurement data): ccss_progression_md_k5_2011_06_20.

We will be releasing a draft of the Fractions progression before the end of June, and the Ratios and Proportional Relationships progression in early July.

[29 July 2012] This thread is now closed. You can ask questions here.