Math Content Support

Deepen Your Mathematical Understanding

These dynamic five-day learning sessions will guide you toward new thinking focused on learning math in a collaborative, student-centered learning environment. 

Carnegie Learning Math Academy Workshops deepen your understanding of math content, pedagogy, and student learning through intensive Common Core and state standard aligned workshops for all K-12 educators. 

Math Academy Workshops focus on three key outcomes:
  1. Understand and analyze grade-appropriate content and tasks
  2. Problem solving in a learner-centered environment
  3. Heighten awareness of teacher practices

The Math Academy Workshops are ideal for any educator who wants to gain a better understanding of the connection between early math concepts and algebraic thinking by studying the best practices in math instruction framed by the Common Core State Standards and the Standards for Mathematical Practice. Read about the success of these workshops, as featured in NCSM Journal!  

We recommend the Math Academy Workshops be delivered over five consecutive days for maximum results. We understand scheduling can be a challenge so we also offer a more flexible model with three days up front followed by two days at a later time. The Math Academies are delivered on-site in your district. 

Math Academy Workshops Available

Early Number Concepts

(Grades K-3)

Educators will:

  • Investigate characteristics of the base-ten number system
  • Use physical models to explore number relationships
  • Develop number sense through number construction and deconstruction
  • Expand the base-ten number system to include very small and very large numbers
  • Use models to represent operations with whole numbers
  • And more! 

Early Fraction Concepts

(Grades K-5)

Educators will:

  • Investigate multiple representations of fractions
  • Connect fractions as parts to whole and whole to parts
  • Explore equivalent factions
  • Determine fractional representations given parts of the whole
  • Use models of fractions to solve problems
  • And more!

Fraction Sense and Operations

(Grades K-5)

Educators will:

  • Investigate multiple representations of fractions
  • Interpret the meaning of both fractions and wholes
  • Compare fractions
  • Examine relationship between equivalent and simplified fractions
  • Extend fractions to ratios
  • Model operations with fractions
  • And more!

Connecting Decimals and Percents to Fractions

(Grades 4-6)

Educators will:

  • Relate decimals and percents to fractional models
  • Examine the place value system
  • Develop decimal and percent number sense
  • Reason with decimals and percents
  • Apply fractions, decimals, and percents in practical application
  • And more!

Geometric Thinking

(Grades 6-8)

Educators will:

  • Sort shapes to define attributes
  • Complete and describe basic geometric constructions using a variety of tools
  • Investigate quadrilaterals
  • Discover the Pythagorean Theorem
  • Perform transformations in a variety of ways
  • Construct nets and model geometric solids
  • Use manipulatives and technology to derive various formulas
  • And more!

Proportional Reasoning and Linear Relationship

(Grades 6-8)

Educators will:

  • Distinguish between fractions and ratios
  • Compare ratios and solve proportions
  • Compare proportional and non-proportional relationships
  • Explore a variety of informal strategies for examining proportional relationships
  • And more! 

Developing Algebraic Thinking

(Grades 6-8)

Educators will:

  • Examine multiple representations of functions
  • Explore ratio, rate, and proportional reasoning from a functional perspective
  • Compare linear, quadratic, and exponential functions
  • Use technology to explore functions
  • And more!

Algebraic Thinking

(Grades 9-12)

Educators will:

  • Solve, analyze and discuss mathematical tasks
  • Consider the effects of different levels of mathematical tasks on student achievement
  • Analyze the Standards for Mathematical Practice
  • Write algebraic expressions to determine values for real-world situations
  • Use verbal descriptions, diagrams, algebraic expressions, tables, and graphs to represent problem situations

Probability and Statistics

(Grades 9-12)

Educators will:

  • Solve, analyze and discuss mathematical tasks
  • Consider the effects of different levels of mathematical tasks on student achievement
  • Analyze and summarize the Standards for Mathematical Practice
  • Begin examining the Probability and Statistics standards
  • Begin differentiating between mathematical and statistical thinking and reasoning

Transitioning to the Common Core State Standards

(Grades K-12)

Educators will:

  • Deepen understanding of how to implement student-centered classrooms and applying Standards for Mathematical Practice into lessons
  • Analyze exemplary, research-based versions of Common Core tasks for rigor
  • Build teacher capacity for developing their own rigorous student-centered tasks
  • Discuss and model best practice instructional strategies to support Common Core for Mathematics implementation
  • And more!

Leadership Academy

(Grades K-12)

The leadership academy equips leaders with the ability to support building and district-level Carnegie Learning implementations. The academy is tailored to the school/districts needs and could addresses:

  • Introduction to the Carnegie Learning Curriculum
  • Understanding and Modeling the Student Centered Classroom
  • Understanding and Exploring the Software
  • Data-Driven Decision Making
  • Implementation Fidelity
  • Understanding available resources to help sustain implementation
  • Leading the Transition to the Common Core in Mathematics
  • Carnegie Learning Parent Resources and Family Math Night
  • And more!

Custom Content Academy

(Grades K-12)

Carnegie Learning works with your leadership to develop a content academy for a custom topic or Common Core strand.