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Patterns: Foundations for Algebraic Reasoning

Developing & Assessing Mathematics Understandings

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In Patterns: Foundations for Algebraic Reasoning, the first in MEC’s series of mathematics content courses, K-20 teachers of mathematics have an opportunity to live and learn mathematics within a supportive learning environment that models optimal classroom practice. Participants solve challenging and engaging problems both collaboratively and as independent problem solvers. They also engage with colleagues in professional discussions of mathematics, instructional practice and other relevant issues. 

Participants develop and/or deepen their own mathematical understandings of a range of mathematical ideas, including:

  • generalizations with patterns that have proven their mathematical power and significance
  • the relationships among the various representations  of a function–  graphical, numerical / tabular, geometric, algebraic and verbal / situational
  • linear, quadratic and exponential functions
  • multiple ways to solve a mathematical problem
  • what it means to have a productive mathematical disposition
  • what it means to be a powerful user of mathematics

Practices modeled in this nine-day course prepare educators to help students become successful problem solvers who are able to use mathematics as a powerful tool for making sense of situations and information in the world. Educators learn how to fundamentally restructure classrooms to align with how people learn mathematics.

Participants consider how to effectively implement strategies modeled in the course, including:

  • mathematics inquiry 
  • differentiation and interventions
  • probing student thinking with productive questioning
  • building on student thinking and interactions with peers and teacher
  • creating an optimal learning environment
  • simplifying equations and expressions
  • formative and summative assessment
  • the role and importance of clear communication using proper mathematical language and notation
  • the tenets of constructivism as applied to mathematical learning

Prerequisite: MEC Patterns: Foundations for Algebraic Reasoning course is the prerequisite for all other MEC Mathematics Content Courses.

Audience: teachers, mathematics leaders, math coaches/mentors and university and college faculty