Cognitively Guided Instruction (CGI)
updated October 29, 2014
- This is an ongoing, evolving site. Please feel free to
comment, suggest changes, provide additional info, etc. Email
feedback to me.
The starting point for CGI is the original book prepared by the
developers, Carpenter, Fennema, Franke, Levi and Empson: Children's
Mathematics: Cognitive Guided Instruction.
This outstanding introduction provide the theory and
many examples of classroom implementation.
- There are a vast number of web site with CGI materials.
As I've reviewed various sites I've classified the information I
found into three categories.
Resources for Teachers
Bay Area Math Project has listed all the problem types with
Downey Unified School District
Cognitively Guided Instruction: This entire DUSD
website is devoted exclusively to CGI. From the home page,
which in and of itself is very engaging, there are links for
teachers with materials for each grade level. There are also
online copies of in services training and materials for
problems by University of Wisconsin - Oshkoshhers:
Extensive collection of problems classified as easy to harder.
Native American stories to motivate math lesson
by South Dakota teachers: 74 page booklet organized by
CGI problem type and grade level. There are a few pages of
problems for each grade level. This is a pdf file, so select the
pages for your grade and then just print those.
These links take you to grade level specific materials.
(Note: for some links of handouts or sample problem, the file
is downloaded and not opened as a web page.)
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Resources for Parents
for Parents: A two page overview of CGI and what parents can
do to help their child with mathematics. Adopted from the US
Dept of Education materials. The Dept of Ed has
extensive materials, suggested games and other general information.
Newsletters: A series of 17 newsletters developed by the
original U of Wisconsin team that developed and did the original
research on CGI.
Roadmaps to Common Core Standards / Parent Roadmaps- Mathematics:
Materials prepared by the Council of Urban City Schools.
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Wisconsin - Oshkoshhers has an extensive site on CGI with
background articles, problem sets and series of pages on using
Native American stories to motivate mathematics.
chart of CGI problem types.
Top 8 Reasons To
Use Cognitively Guided Instruction (CGI) to Address the Common
Core does a nice job discussing why CGI should be used to meet
Common Core objectives. The author of this article, Michelle's Math,
has a list of links to various resources useful from her consulting
perspective. Those I found reviewed and found helpful are
individually linked in this list.
Practices Network Cognitively Guided Instruction (CGI):
2007 summary of evaluation research and short discussion of
Math Encourages Ingenuity and Reasoning: News article
summarize history of CGI development at the U of Wisconsin Center
for Educational Research and provides overview of goals and
In 2008 I investigated Singapore
Math and created a website summarizing much of what I learned.
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Return to Jason Frand's Homepage
Please feel free to email me with questions and
Olympiad Coach and
Los Angeles County-wide Math
Olympiad Tournament Chairperson
Unified School District
Assistant Professor, Retired
and Director, Retired
Anderson School of Management
prepared August 30, 2014