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Description

This stack is designed to provide mathematics educators at every level with demonstrable experiences in research-based mathematics instructional practices where every student is engaged in discourse-rich, cognitively demanding, and equitable mathematics learning environments.

What You'll Demonstrate

You will demonstrate essential components in lesson preparation, delivery, and reflection vital for high-quality mathematics instruction.

Who Should Apply

  • PK12 teachers of mathematics,
  • instructional coaches,
  • and other education support professionals

Micro-credentials


The CarolinaCrED College of Education, University of South Carolina logo above an illustration of a person pointing at a math equation: 2/3 + 3/5.
Demonstrating Fraction Addition Strategies

The educator demonstrates for learners multiple research-based strategies to add fractions.

A graphic of a person pointing at a math equation on a board, showing a/b - c/b =. The image is framed by text reading CarolinaCrED College of Education, University of South Carolina.
Demonstrating Fraction Subtraction Strategies

The educator demonstrates for learners multiple research-based strategies to subtract fractions.

University of South Carolina CarolinaCrED College of Education logo above icons of an open book and a math symbols square on a yellow background.
Developing Appropriate Story Problems

The educator identifies key problem structures in the design of addition and subtraction story problems and develops story problems appropriate to advance student understanding of addition and subtraction concepts.

Logo for CarolinaCrED, College of Education, University of South Carolina, above an icon showing three people with speech bubbles containing math symbols.
Facilitating a Mathematical Discussion

The educator facilitates a productive mathematics discussion about a mathematical task that promotes mathematical reasoning.

CarolinaCrED College of Education, University of South Carolina logo above an illustration of a ladder, person, gear inside a light bulb, and arrow, symbolizing innovation and progress in education.
Implementing Tasks: Mathematical Reasoning

The educator uses a five-part planning protocol to demonstrate a thoughtful setup for the lesson and plans for the implementation of a task that promotes mathematical reasoning.

The logo for CarolinaCrED College of Education at the University of South Carolina above a drawing of two people with speech bubbles showing algebraic expressions, one with x+y and the other with y>z.
Planning for Student Discussions

The educator plans for a productive mathematics discussion about a mathematical task that promotes students' mathematical reasoning.

A graphic shows a magnifying glass, a person icon, a light bulb with a gear inside, and a right-pointing arrow. The top displays the CarolinaCrED College of Education logo for the University of South Carolina.
Promoting Mathematical Reasoning

The educator identifies cognitively demanding tasks (based upon Task Analysis Guide) that address a grade-appropriate learning goal that promotes mathematical reasoning.

University of South Carolina College of Education logo above an icon of a globe with a magnifying glass on a yellow square background.
Supporting Students: Mathematical Reasoning

The educator plans for the exploration of a task that promotes students' mathematical reasoning.

CarolinaCrED College of Education, University of South Carolina logo at the top. Below is a yellow square with black symbols: two zeros stacked, one with a dot and arrow pointing right, next to another zero.
Understanding Place Value Progression

The educator selects tasks that encourage the use of multiple representations of mathematical ideas through the collection of student work samples that make use of differing representations of mathematical content.

CarolinaCrED College of Education, University of South Carolina logo above an icon with symbols representing technology, sports, science, and the arts inside a cloud shape.
Using Funds of Knowledge in Mathematics Instruction

The educator selects from a menu of ideas for bringing in individual students' experiences and practices outside of school to design mathematical learning opportunities.

CarolinaCrED College of Education, University of South Carolina logo above an icon showing a pencil drawing on a board with a pi symbol and a gear underneath.
Using Multiple Representations

The educator identifies and selects a cognitively demanding task (based upon Task Analysis Guide) addressing a grade-appropriate learning goal that promotes using multiple representations.

CarolinaCrED College of Education, University of South Carolina logo above an icon of a person surrounded by five question marks, connected by lines, on a yellow background.
Planning Purposeful Questions

The educator intentionally plans for questions to help deepen learner understanding and broaden mathematical thinking.

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Collecting and Analyzing Assessment Data

The teacher demonstrates effective use of formative and summative assessment practices to uncover and make sense of students' mathematical understanding of a specific mathematics concept.

Gray image placeholder with a centered icon depicting a landscape image symbol, indicating no image is available.
Collecting and Analyzing Assessment Data

The teacher demonstrates effective use of formative and summative assessment practices to uncover and make sense of students' mathematical understanding of a specific mathematics concept.

Gray image placeholder with a centered icon depicting a landscape image symbol, indicating no image is available.
Using Funds of Knowledge in Mathematics Instruction

The teacher selects from a menu of ideas for bringing in individual students’ experiences and practices outside of school to design mathematical learning opportunities.

Gray image placeholder with a centered icon depicting a landscape image symbol, indicating no image is available.
Diagnostic Interviews in the Mathematics Classroom

The teacher demonstrates effective use of diagnostic interview techniques to elicit student thinking and appropriately analyzes the collected data.