An Invisible Scaffold Supporting All People: How Technology Should Work in the Math Classroom

December 2024

students in front of a laptop

CPM is about more math, but it is also about more people. Since 2008, when I took a summer job through a connection in my CPM precalculus class, I have been surrounded by people passionate about student-centered math classrooms. Five years later, I was working full time at CPM. In the years since, I have worked with many math teachers, and I will say that their passion for education and math is incredible. 

I have worked on much of the technology developed to support how students experience math curriculum: The first version of Homework Help, the original eTools for CPM eBooks, and the licensing system.

It has really been a journey for me. I have learned so much by working at CPM, which is great because the learning never stops. The same goes for technology. All technology must be iterated and refined into something as easy as possible for people to really use.

Expanding Learning Opportunities in the Math Classroom with EdTech

The power of technology is that it opens up new opportunities in general. This can include new ways to teach and new ways to learn—different people learn in different ways and different ideas resonate with different people. Education technologies help expand the opportunity space, opening up different ways to engage with curriculum materials and advance learning. They remove barriers or friction, making it easier for a student to come to the table or a teacher to support different kinds of students. Ultimately, technology integrated well allows for increasing accessibility.

Classroom Technology Provides Tools of Opportunity and Choice 

Near the beginning of my time working on technology in education, it felt like an augmentation. I was taking something that was already in a physical curriculum and then making it digital. Or I was creating supports like eTools, animations, and Homework Help. The work was about creating additional opportunities for people who were interested. Curriculum still stood on its own without technology.

What I have seen over time is more and more embracing of technology. CPM’s Inspiring Connections curriculum in particular was built with technology at the core, in order to bring in new types of teaching and learning that would not be possible without technology. 

Personally, I highly value the opportunity and choice integrated technology brings to a classroom. Building technology into the core of Inspiring Connections enables new opportunities for students to engage. It also provides teachers with more choices for ways to teach a lesson and affords students more ways to learn than we have ever been able to deliver before.

Education Technology That Is Almost Invisible 

Technology in education is at its best when it removes obstacles and provides a smooth and straightforward experience–enabling other ideas to come forward. 

I really like to think of the analogy of a smartphone. Smartphones did not introduce anything dramatically new, per se, they just put everything we needed in one easily accessible place. It is something that feels so natural and so invisible. We use it for everything every day, making our life easier in 1,000 ways. When we lose our phones, we say, “Wait, how did I survive without this before?”

I am not expecting technology in the classroom to be something explosive or to dramatically change the way that people teach and learn. The future of EdTech is something that makes the whole process exponentially easier—without getting in the way.

This brings us back to the human element of successfully implementing technology. We have to refine the technology to make it better. We need people to come to the table—there is so much need for communication, understanding, and diverse perspectives when it comes to EdTech. When the human element is guiding development and implementation every step of the way, removing barriers and expanding opportunity, that is when technology in the classroom can be so successful.

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Eli Marable

CPM Senior Developer

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Algebra Tiles Blue Icon

Algebra Tiles Session

  • Used throughout CPM middle and high school courses
  • Concrete, geometric representation of algebraic concepts.
  • Two-hour virtual session,
  •  Learn how students build their conceptual understanding of simplifying algebraic expressions
  • Solving equations using these tools.  
  • Determining perimeter,
  • Combining like terms,
  • Comparing expressions,
  • Solving equations
  • Use an area model to multiply polynomials,
  • Factor quadratics and other polynomials, and
  • Complete the square.
  • Support the transition from a concrete (manipulative) representation to an abstract model of mathematics..

Foundations for Implementation

This professional learning is designed for teachers as they begin their implementation of CPM. This series contains multiple components and is grounded in multiple active experiences delivered over the first year. This learning experience will encourage teachers to adjust their instructional practices, expand their content knowledge, and challenge their beliefs about teaching and learning. Teachers and leaders will gain first-hand experience with CPM with emphasis on what they will be teaching. Throughout this series educators will experience the mathematics, consider instructional practices, and learn about the classroom environment necessary for a successful implementation of CPM curriculum resources.

Page 2 of the Professional Learning Progression (PDF) describes all of the components of this learning event and the additional support available. Teachers new to a course, but have previously attended Foundations for Implementation, can choose to engage in the course Content Modules in the Professional Learning Portal rather than attending the entire series of learning events again.

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Building on Instructional Practice Series

The Building on Instructional Practice Series consists of three different events – Building on Discourse, Building on Assessment, Building on Equity – that are designed for teachers with a minimum of one year of experience teaching with CPM instructional materials and who have completed the Foundations for Implementation Series.

Building on Equity

In Building on Equity, participants will learn how to include equitable practices in their classroom and support traditionally underserved students in becoming leaders of their own learning. Essential questions include: How do I shift dependent learners into independent learners? How does my own math identity and cultural background impact my classroom? The focus of day one is equitable classroom culture. Participants will reflect on how their math identity and mindsets impact student learning. They will begin working on a plan for Chapter 1 that creates an equitable classroom culture. The focus of day two and three is implementing equitable tasks. Participants will develop their use of the 5 Practices for Orchestrating Meaningful Mathematical Discussions and curate strategies for supporting all students in becoming leaders of their own learning. Participants will use an equity lens to reflect on and revise their Chapter 1 lesson plans.

Building on Assessment

In Building on Assessment, participants will apply assessment research and develop methods to provide feedback to students and inform equitable assessment decisions. On day one, participants will align assessment practices with learning progressions and the principle of mastery over time as well as write assessment items. During day two, participants will develop rubrics, explore alternate types of assessment, and plan for implementation that supports student ownership. On the third day, participants will develop strategies to monitor progress and provide evidence of proficiency with identified mathematics content and practices. Participants will develop assessment action plans that will encourage continued collaboration within their learning community.

Building on Discourse

In Building on Discourse, participants will improve their ability to facilitate meaningful mathematical discourse. This learning experience will encourage participants to adjust their instructional practices in the areas of sharing math authority, developing independent learners, and the creation of equitable classroom environments. Participants will plan for student learning by using teaching practices such as posing purposeful questioning, supporting productive struggle, and facilitating meaningful mathematical discourse. In doing so, participants learn to support students collaboratively engaged with rich tasks with all elements of the Effective Mathematics Teaching Practices incorporated through intentional and reflective planning.