Mathematics CTS Supplement Search
CTS maintains a supplementary database of resources.The resources are content specific and can be used to supplement a specific CTS topic. For example, if you are a teacher conducting an individual study or you are designing a CTS for professional development on the topic of graphing, you might search for an article in the supplementary database to enhance your study. By selecting Data Analysis under "Category"; Bar Graphs, Histograms, and Line Graphs under "CTS Topic", and Journal Article"under "Resource Type" and then clicking the "Apply" button, you will come across the webbased article,Making Sense of Graphs: Critical Factors Influencing Comprehension and Instructional Implications published in the Journal for Research in Mathematics Education. Clicking on the title of the resource will then give you the full description of how it can be used with CTS. Each time a new mathematics supplement is posted, it will appear in the Mathematics Supplement box on the CTS home page.

The selected reading, pages 313315, can be used for addtional readings in Section IV to examine research on student learning.
Barbara Moses (Ed.) (1999). Algebraic Thinking, Grades K12: Readings from NCTM's SchoolBased Journals and Other Publications. Reston, VA: National Council of Teachers of Mathematics. 
This article describes a study conducted with 200 high school students to learn about studentís preconceptions about probability. Students...
Madsen, Richard W., Secondary Studentsí Concepts of Probability, Getting the Best from Teaching Statistics, University of Missouri, Columbia, Missouri. For pdf article online: http://www.rsscse.org.uk/TS/gtb/madsen.pdf 
Research Ideas for the Classroom is a threevolume series of research interpretations for early childhood, middle grades, and high school...
National Council of Teachers of Mathematics (1993). Research ideas for the classroom: high school mathematics. New York, NY: MacMillan 
A collection of essays which offer insights into the emphasis on statistics in the K12 mathematics curriculum. Through the investigation of...
Lajoie, Susanne P., editor, Reflections on Statistics: Learning, Teaching and Assessment in Grades K12 (1998) Mahwah, NJ: Lawrence Erlbaum Associates. 
Description: A series of video clips (? hour each) with accompanying support materials such as problem solving activities, online and print...
WGBH Education Foundation (2003). Annenberg Media Learner.org To view these video clips: http://www.learner.org/channel/courses/learningmath/number/overview/index.html 
This article describes the results of a multiyear research project on algebraic reasoning in middle school students. The article describes...
Knuth, Eric J., Alibali, Martha W., McNeil, Nicole M., Weinberg, Aaron, Stephens, Ana C. (2005) Middle School Studentís Understanding of Core Algebraic Concepts: Equivalence + Variable. ZDM 37(1). To read this article online: http://www.ithaca.edu/faculty/aweinberg/papers/9Knuth_final.pdf 
This article outlines critical factors that appear to influence graph comprehension and identifies instructional implications. The factors...
Friel, Susan N., Curcio, Frances R., Bright, George W. (2001). Making Sense of Graphs: Critical Factors Influencing Comprehension and Instructional Implications. Journal for Research in Mathematics Education March Issue: 124158 
This article describes surprising misconceptions revealed by a fifthgrade student during a series of interviews about probability. A brief, but...
Nicolson, Cynthia Pratt (2005). Is Chance Fair? One Studentís thoughts on Probability. Teaching Children Mathematics September Issue: 83 
How Students learn uses the principles and findings from How People Learn within the context of the mathematics classroom. An introduction to the...
Bibliographic Citation: The National Research Council. ( 2005) Washington, D.C: National Academies Press. The read this book online: http://darwin.nap.edu/books/0309089492/html 
The authors propose 'intuitive rules' that students use to reason about mathematics and science concepts. The book provides many examples how...
Stavy, Ruth and Tirosh, Dina (2000). How Students (Mis ) Understand Science and Mathematics. NY, NY: Teachers College Press.