Dr. Karen C. Fuson

For 50 years I have been studying how children understand math ideas, designing teaching materials based on how children learn and understand, and working in schools to help teachers teach in new ways to support all children to learn.  For much of this time I was a professor at the School of Education and Social Policy and Department of Psychology at Northwestern University.  I published over eighty research articles on mathematics teaching and learning including children’s counting and their developing understanding of addition and subtraction methods, multiplication and division, fractions, ratios, and proportion.  I spent over ten years in a range of different classrooms developing the NSF-funded math program, the Children’s Math Worlds Research Project.  I worked with many wonderful fellow researchers and teachers.  I resigned from my position in 2002 to have more time to devote to my research and to national service in math education.  I am now a Professor Emerita at Northwestern University continuing to do my research and writing at home.


I was a member of the National Research Council’s Mathematics Learning Study Committee that wrote Adding It Up and the Committee on Early Childhood Math that wrote Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity.  I wrote the chapter on whole numbers for the NCTM Research Companion to the 2000 Standards and wrote the introductory chapter for the National Research Council’s How Students Learn: Mathematics in the Classroom.  I am the author of the K-6 math program Math Expressions published by Houghton Mifflin Harcourt.  This program is based on my research in classrooms in the Children’s Math Worlds Project, on earlier and later research I carried out, and on research by others in the NRC reports and on aspects of international math programs (Dr. Sybilla Beckmann is my co-author for the Grade 6 books).  I am a co-author on five of the NCTM grade-level books for teachers about the focal points (PK, K, G1, G2, G5).  I worked on the Common Core State Standards-Math and on the learning progressions for these standards and advised PARCC and Smarter Balance on their math test design and items.

About this Website

Why this website?

I want to share with everyone the results of my research because teachers have told me that this research can change how they teach.  They also say that when they teach based on how children learn, the children understand so much more than the teachers thought possible.  Teachers also can learn more about mathematical ideas because most of us including me did not have a chance to learn with understanding so we need those opportunities now.


What is in this website?

Each of the sections below can be reached by clicking on that tab in the MENU.


Teaching Progressions.

I have gathered my research-based teaching ideas into visual and audio Teaching Progressions that show the research-based visual supports that enable children to build math ideas.  I discuss how these ideas develop through the year and through the grades.  I organized these Teaching Progressions by math topic using the topics in the Common Core State Standards (CCSS) and explain the progression of the standards for each math topic.  I show the teaching approaches I developed in classrooms in the Children’s Math Worlds Research Project and then used in Math Expressions.  These Teaching Progressions can help people using any program understand more deeply how visual supports support math teaching and learning and can enable viewers to see the progressions of math teaching and learning in action.  My development of visual supports was supported by the National Science Foundation and so anyone can use these supports.  Click on the MENU at the top right and then click on the words Teaching Progressions in the list that appears below the MENU. You can download the description of all Teaching Progressions available here on this website by clicking here.


Classroom Videos.

The National Science Foundation funded A Video Research Report of the Children’s Math Worlds Research Project to show the levels of learning possible by children from backgrounds of poverty who experience good teaching.  The classroom videos were taken in four public schools, three high-poverty urban schools with some to most students speaking a native language other than English and a suburban school with immigrants from many countries. The classrooms you will see were built by the continuing efforts of many dedicated teachers, students, parents, school administrators, and members of the Children’s Math Worlds research team.  Language and ideas of students, teachers, and parents were woven into the curriculum as it was revised each year.  The project had a strong emphasis on children explaining their thinking and on using math drawings developed in the project to support student thinking and explaining.  None of our teachers had learned math in this way, so they were all brave pioneers in learning how to create such classrooms. All classrooms are complicated places, and no teaching segment can be perfect.  We can all have ideas about how to change things the next time. I am enormously proud of and grateful to these teachers for being willing to share their classrooms so that everyone can see what students can do if we support them in their thinking.  The Teaching Progressions show in  more detail the learning progressions students experienced to reach the points shown on these Classroom Videos.  To view the Classroom Videos, click on the MENU at the top right and then click on the words Classroom Videos in the list that appears below the MENU.  You can download the description of and more information about the Classroom Videos available here on this website by clicking here.



I have gathered some of the research that underlies the classroom teaching/learning approaches.  Click on the MENU at the topic right and then click on the word Publications in the list that ppears below the MENU.  You can sort the table of publications by math topic or by type of research publication (shorter or longer).  You can download a pdf file of a publication for your own educational use.  When a publication is a chapter in a book, you might want to look at the whole book for other useful chapters.  Authors of these publications include members of the Children’s Math Worlds Project team, my PhD students, post-doctoral students, and colleagues at Northwestern University and elsewhere.  Authors who have gone on to faculty positions at a university have emails or that university listed so that you can contact them to follow their other research.  You can download the references for all publications available here on this website by clicking here.


Visual Presentations.

I have gathered pdf files of some PowerPoint presentations I have made at conferences because these summarize visually ideas I think are important.  Click on the MENU at the top right and then click on the words Visual Presentations in the list that appears below the MENU.  Many of these presentations are about math domains, and you can find out more about these domains in the Publications and in the Teaching Progressions for those domains.  Sort the Publications list to find papers for that math topic, and look at the column following each Visual Presentation title to see which Teaching Progression to view for more detail and audio to go with the visual.  You can download the references for all presentations available here on this website by clicking here.



If you want to find the titles of other things I have written or presentations I have given, you can look here in my Curriculum Vitae.



Contact me using the Contact Form where you can leave me a message about this website.  I will try to check messages once a week and reply as soon as possible.  Sometimes I am traveling and cannot get back right away.  Thanks for your interest.




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