Skip to Content

Developing Mathematical Reasoning: Avoiding the Traps of Algorithms

Class Details

  • Class Type: Online
  • Date: 6/1/2026 - 7/26/2026
  • Adams State Credit: 3
  • Nonmember Price: $235
  • CEA Member Price: $135
  • Registration for the optional graduate credits ($55 per credit) is a separate transaction through Adams State. Registration information will be available after you enroll and once the course is listed on the graduate credit portal.

  • Currently Enrolled: 7 of 30

About the Course

In this 8-week book study course we will dive into “Developing Mathematical Reasoning: Avoiding the Trap of Algorithms, Grades K-12” by Pamela Webber Harris. Participants will internalize what is meant by the slogan “math is figure-out-able” and the importance of teaching students increasingly sophisticated mathematical reasoning rather than relying on a set of rules for solving problems. Through reading, reflection, discussions, and assignments, participants will gain insights and practical strategies to enhance their teaching practices and ensure every student is capable of understanding and doing real math.

This course is appropriate for all K-12 math teachers. Other content areas are welcome to join, but the majority of topics are related to math teaching. Any educator who is also a parent of a K-12 aged student may also find the content helpful when supporting their student at home.

Required Text:

Upon completion of this course, the student will be able to:

  • Identify the five stages of mathematical reasoning and how a student moves through those stages.
  • Analyze a student’s thinking in real-time and guide them towards the next stage of mathematical reasoning.
  • Instruct math content using strategies, instead of relying on algorithms as teaching tools.
  • Reflect on their teaching practices and make adjustments to create a reasoning-based math classroom, not one focused on answer-getting.
  • Adapt curriculum materials to prioritize mathematical reasoning pathways.
  • Grade(s): Kindergarten 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade 7th Grade 8th Grade 9th Grade 10th Grade 11th Grade 12th Grade Elementary K-5 Secondary 6-12
  • Subject(s): Math Professional Development
  • Teacher Quality Standard(s): QS 1.A QS 1.C QS 2.C QS 3.A QS 3.B QS 3.C QS 3.D QS 3.E QS 4.B

Reviews

Katie
This is an excellent course for any math teacher looking to foster reasoning skills and make math figure-out-able! The assignments help you get the most from the text and you will walk away with a lot of concrete ideas to implement in your classroom.
Megan
This has been one of the most beneficial and useful texts I have read to help give me knowledge and tools to become a better math teacher for my students. I HIGHLY recommend it and this class. The class was well organized and really helped me gain the skills about the 5 stages of mathematical reaosning, reflect on my own reasoning, and get plans and resources in motion to apply it directly to my classroom.

Leave a Review