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Error Analysis in Math and Beyond

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Overview and Purpose

In everyday life, we make constant errors, especially through the learning process. The error analysis technique allows educators to bring awareness to common misconceptions and errors, making it an "aha" or "wow" moment. This technique is a great tool to utilize in the classroom because it allows learners to realize that mistakes can be a learning experience.

My goal for this mini-course is to educate educators on how to incorporate this protocol to promote critical thinking. While it was used for math, it can be used for ELA. Additionally, I want educators to be able to foster a classroom environment that sees mistakes as valuable chances to learn, encourages students to develop resilience and a growth mindset. Implementing the error analysis will do so!


After implementing this technique in my 5th grade classroom several times, I came to realize the positive outcomes. My students were learning from common mistakes, analyzing why they were made and correcting them to deepen their understanding.

For educators, this course will provide them with methods to incorporate the error-analysis protocol. In addition, this course is designed to allow users to evaluate their teaching methods and find ways to integrate error analysis into their instruction.

Throughout this course, we will address the following:

  • What is error analysis and why is it beneficial to use in the classroom?
  • The four levels of cognitive demands in mathematical tasks
  • How to design tasks using this protocol.

Needs Assessment

This mini course means to address the following:

  • Educational Opportunity: The challenge in education posed by error analysis is the students' often incorrect interpretations or lack of understanding of material, which can impede their learning advancement.

This mini-course offers a chance to improve teaching methods by methodically recognizing and tackling these mistakes to enhance comprehension and memory. By utilizing error analysis, teachers can identify individual misunderstandings, knowledge gaps, or consistent errors that point to underlying issues in a student's understanding. When students are also able to utilize this technique, they too can identify misconceptions and understand why they are making this mistake. This proactive strategy permits personalized interventions, empowering educators to offer specific assistance and input. In the end, the chance lies in improving teaching techniques and improving student academic results by closely examining mistakes.

  • About the Learners: The participants in this mini course are teachers who will be gaining some insight on the error analysis technique and how they can use it with their students. While anyone can take this course, it will benefit any grade level and subject teacher. Participants may have little to no experience with this technique. By the end of the course, they will have the basic knowledge to implement the technique in their classroom.
  • Addressing the Gaps: The main gap is students' insufficient abilities in recognizing and analyzing errors, which hinders their capacity to learn from their errors. Closing this divide necessitates specific teaching approaches that instruct students on how to effectively analyze mistakes, enabling them to manage their learning and enhance their academic results.

Performance Objectives

After completing this mini-course, learners will be able to:

  • Educators will be able to clearly state the principles and objectives of error analysis, illustrating how it can improve student learning and self-assessment.
  • Educators will be able to create strategies to assist students in reflecting on their mistakes, motivating them to assess the causes of their errors and explore other methods.
  • Educators will be able to create interesting tasks and drills that enable students to practice identifying mistakes in different areas like math, writing, and science.
  • Educators will be able to create a classroom environment that sees mistakes as valuable chances to learn, encouraging students to develop resilience and a growth mindset

Course Units

This mini-course includes the following units. Click the title of a unit to go to its page.

Unit 1: What is error analysis and why is it beneficial to use in the classroom?

After this unit the participants will be able to:

  • Gain an understanding of error analysis and its benefits in the classroom
  • Engage in error analysis by reviewing sample student work.

Unit 2: The four levels of cognitive demands in mathematical tasks

After this unit the participants will be able to:

  • Understand the 4 levels of cognitive demands
  • Analyze tasks based on the demands

Unit 3: Designing tasks using this protocol

  • Design your own tasks
  • Facilitate a peer review
  • Assess tasks based on feedback

Extended Resources

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