Mathematics CTS Guides

The centerpiece tool of Curriculum Topic Study is the CTS study guide. There are 92 CTS study guides of various grain sizes, from specific to broad, representing a comprehensive range of content and process-based mathematics topics. Specific topics may be subsumed within broader topics. Selecting the grain size of a CTS topic study guide depends on your purpose. For example, if your purpose is to focus on triangles, then you might choose the CTS guide, Triangles. If your purpose is to focus on different classes of polygons, including triangles, then you might choose Two Dimensional Shapes. A broader purpose might address characteristic properties and relationships among two and three dimensional shapes. In this case, you might choose Geometric Relationships. It is up to the CTS user to determine how broad or specific you want your topic study to be.

The 92 CTS topics are organized in 7 categories, 5 of the categories representing the content standards of the NCTM standards, 1 category representing the problem solving and process standards, and 1 category representing topics that cross several content standards. The CTS study guides within a particular category reflect the purpose of the study. For example, if your purpose is to examine curricular content related to properties of addition and subtraction, you would select the Properties of Operations guide in the category Numbers and Operations. Click here to download a list of the Mathematics CTS Study Guides.

The 7 categories used for organizing the Mathematics CTS guides are:

  • Numbers and Operations
  • Algebra
  • Geometry
  • Measurement
  • Data Analysis
  • Integrated Topics
  • Problem Solving and Processes Mathematics

CTS Study guides CTS topics can also be combined to form a broad study of a content standard. For example, if you want to study a broad content standard or subject area such as Geometric Measurement, there is no CTS guide for Geometric Measurement. However, a careful examination of the guides in the Geometry and Measurement Categories show that a combination of Geometric Shapes, Angle Measurement, and Perimeter, Area, and Volume can collectively address the subject area of Geometric Measurement.

Structure of a CTS Study Guide- Each CTS Study Guide has 6 sections, each with a specific purpose. These sections and their purposes include:

Section I: Identify Adult Content Knowledge

Section II: Consider Instructional Implications

Section III: Identify Specific Concepts and Skills

Section IV: Examine Research on Learning

Section V: Examine Coherency and Articulation

Section VI: Link Back to State Standards or Local Curriculum

Each of the sections described above links to pre-vetted readings from the CTS source books. Click here to download a sample CTS study guide and an "Anatomy of a CTS Study Guide" that describes the specific purposes of each section of a CTS study guide.

Fractions_Guide.pdf88.5 KB
MathCTS_Anatomy_Study_Guide.pdf326.51 KB
MathCTSGuideList.pdf60.47 KB