Here are my favorite resources:
LESSON PLANNING RESOURCES
Dr. Suh’s Problem Solving Cards
Dr. Suh’s Math Modeling Process Cards
Favorite BLOGGERS –
There are a number of resources available as sources of great, engaging mathematics tasks.
Michigan-developed MAISA CCSSI Units (Michigan Association of Intermediate School Administrators – Common Core State Standards Initiative)
Grades: kindergarten through high school
The MAISA project has taken the CCSS-M and CCSS-ELA standards and placed them in units of study for all grades K-11. The mathematics units include a unit plan, a detailed model lesson from the unit, one or more formative assessment tasks, and a wealth of other resources. The units are made available through MAISA’s Atlas curriculum management software’s public site.
Jo Boaler and her youcubed team at Stanford University have created and gathered a number of tasks across all grade levels. Since fall 2015, the team has also created a “Week of Inspirational Math” with the idea of kicking off the school year with highly engaging rich mathematics tasks.
Grades: kindergarten through high school
MathHooks.com – intriguing “hooks” for each of the grades 7 and 8 mathematics standards to help teachers kick off lessons through inquiry.
EMATHS – Excellent Michigan-produced tasks and units for Algebra 1, Geometry, and Algebra 2. The professional learning is also great, and along with the tasks, can change teaching and learning to enrich mathematical understanding and competence.
Mathematics Assessment Project – from MARS (Mathematics Assessment Resources Service)
Grades: Mainly 6-8 and high school
A 1993 NSF funded mathematics assessment project, Balanced Assessment included teams from Harvard, the University of California, Michigan State University, and the University of Nottingham. It was ahead of its time in creating tasks (rather than “problems”) for students to engage in, explore, and develop and provide evidence of deep understanding. Tasks are available at all grade levels, and have since been published by Corwin Press and by Teachers’ College Press.
Grades: kindergarten through high school
NRICH – Enriching Mathematics – from the University of Cambridge
Grades: kindergarten through high school; Select the “Teachers” menu option and choose from Early Years, Primary, or Secondary.
Inside Mathematics – Includes “Problems of the Month” and “Performance Assessment Tasks”, along with other helpful resources for teachers and professional learning providers.
Graphing Stories: Fifteen seconds at a time A collection of short video clips illustrating various types of change for students to graph. Not a “rich task” in itself, but the site takes the “heavy lifting” of providing suitable edited video clips for teachers to use as part of a task.
Grades: Middle school and high school
101 Questions provides a wealth of photos and video clips to inspire asking great mathematical and statistical questions. These graphics can help kick off a rich investigation.
Grades: mainly middle and high school; some suitable for upper elementary.
National Science Digital Library – Includes mathematics tasks. Choose MATHEMATICS as the “subject” and the grade level you are interested in viewing.
National Council of Supervisors of Mathematics – NCSM has published a new version of its “Great Tasks for Mathematics” (original set of problems released in the 1990s). Two books.
Grades: K-5 (“NCSM Great Tasks for Mathematics K-5”) and 6-12 (“NCSM Great Tasks for Mathematics 6-12”)
3-Act Math Problems – Inspired by Dan Meyer. An innovative way of approaching and enriching mathematics problems; many sites are noted in this LiveBinder.
Grades: Mainly middle school and high school.
Achieve the Core – Includes mathematical tasks along with other resources of interest to teachers.
Emergent Math – Includes CCSS Problem-Based Curriculum Units, along with links to the mathematical tasks within the units.
(Fee-based) Mathalicious has a number of tasks tagged to standards. They have now organized some tasks into units to assist teachers with embedding rich tasks into lessons throughout the course.
Grade levels: Grade 6 through High School
PBS provides over 1900 math-related itemsto spark ideas for rich tasks. Most of the entries here are not fully-developed tasks, but inspirations or launches for tasks. Use the filter provided to explore what’s available for your grade(s).
Grade levels: Pre-K through High school
Illustrative Mathematics has released an excellent mathematics curriculum resource for grades 6 through 8. It has received a nearly perfect score from EdReports.org. See also the other rich tasks at the website.
Math Landing: Resources and Tools for Elementary Math Specialists and Teachers. Grades: K-5. Check out the Classroom Collections. Grouped by Standard of Mathematical Practice.
Estimation 180 provides photos which teachers can use a prompts for estimating and developing number sense. Many of these photos could serve as prompts for Number Talks or Math Talks. The site provides lessons, other activities, and other resources.
Grade Levels: kindergarten through high school
CIC Task Library (Complex Instruction Consortium) – Tasks for High School – You may need to sign in with a Google account. Once in the site, click on CONSORTIUM, and then on TASK LIBRARY.
East Midlands (U.K.) Math Tasks – A collection of tasks along with teacher guides.
Grade levels: kindergarten through high school
North Carolina has developed a number of tasks as part of their Department of Education curriculum support. They are posted by grade level. Look under the “Compiled Documents”.
Click on the grade level to visit:
North Carolina High School Resources – “Math Resources for Instruction” documents provide or link a suggested task for each standard. Look in the purple “Instructional Resources” box of the table.
Resources to help plan for and implement these great math tasks for teaching and learning:
Thinking Through a Lesson Protocol (TTLP)
For a number of “math in real life” resources (not necessarily rich tasks), visit Math in Daily Life from Annenberg (Learner.org)
Some of my pre-service teachers favorite VM apps
Name of Tool:
|Full URL: http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html|
|Why did you select this tool?||I really like this tool because it is very user friendly. You can literally make 100’s of combinations of virtual manipulatives that you would like to use and tailor the site to fit your individualized needs. I also like the way the manipulatives look on the site. They are very realistic looking and I think that the students would enjoy using them.|
|How well does it address the target math content?||This site would be great to help with my math lesson on fair share. I think that the picture I took (see below) demonstrates how I could use this site to represent questions on the SmartBoard for my 1st grade students to see. I could present several situations like the one that I have pictured and even allow the students to come up and move the manipulatives themselves.|
|Specifically, how would you use this tool to help expose the student’s understanding of the topic?||This site really helps to show students if they can make a fair share or not. The visuals are also big and easy to see. Because I chose to use two ten frames, the students can very easily move the little squares into the correct boxes to see if both people would get a fair share. I could also modify what I have in the picture and show three ten frames and that would help the students be able to make a fair share between three people. This simple task helps to teach the students about dividing numbers by 2 and 3. It is also a great introduction to ½ and 1/3 and even potentially ¼.|
|List the ways the tool takes advantage of technology.||– Can be done on the SmartBoard in front of a large group (no need for a document cam with actual manipulatives)
– Kids today love to do things on the computer and this makes learning the concept for them even more fun
– There are SO many types of manipulatives on this site. Many teachers do not have access to those materials at their school and the backgrounds on the site may be hard to come up with or draw.
|Name of Tool:
Virtual Polygons for Tessellations
|Why did you select this tool?||I selected this tool because my teacher that I am observing just recently did a lesson on tessellations and wanted to incorporate some technology into her lesson. Unfortunately, there are a lot of ineffective virtual tessellation websites out there. It took me a while to find one I liked and that was actually helpful. This website also has an informative instructional video to help teachers know how to use it correctly.|
|How well does it address the target math content?||This website addresses the content (tessellations) pretty well, but I think it could have been a little more detailed with more color choices and it could potentially be more user friendly.|
|Specifically, how would you use this tool to help expose the student’s understanding of the topic?||This tool would make it easier to see teacher created tessellations as a whole group and would also allow the students to see the step-by-step of creating a tessellation as the teacher makes it!|
|List the ways the tool takes advantage of technology.||This tool is great because it really uses the advances in technology to its advantage. Creating a tessellation by hand with literal manipulatives, can take time and it can be difficult to make extremely accurate. This program helps students create tessellations with several shapes at a fairly rapid pace and overall makes it a similar process.|