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Carnegie Learning Math Solutions for In-Person, Virtual & Hybrid Learning

The teaching and learning scenarios we will encounter this year will undoubtedly bring new challenges to our practice as educators. These experiences will also drive innovation through the development of new tools and strategies. At Carnegie Learning, we believe that you are the most important ingredient to learning. We recognize your unwavering commitment and the passion you pour into your classrooms and students. That’s why we remain committed to providing you with resources and services that support you in these efforts, even as learning models change and evolve.





The Carnegie Learning Math Solutions have always given you the freedom to teach your way. Write-in consumable textbooks, also accessible in electronic format, facilitate active learning to get your students to collaborate and engage with others, think critically, and gain a deeper understanding of math. MATHia, our intelligent, 1-to-1 math software, gives students an independent learning experience with real-time feedback and examples to show why they got a problem wrong and how to get it right. Now more than ever, we are here to support you in implementing our math solutions in your new normal and ensuring your students thrive.

Many of the elements you need to be successful are built into the Carnegie Learning program, including:


  • extensive formative assessment
  • detailed reporting on student knowledge, knowledge gaps and unfinished learning
  • LiveLab for real-time monitoring of student work
  • high quality lessons and activities that can be facilitated in person or virtually
  • student at-home support through LiveHint
  • robust guidance for teachers in the Teacher Implementation Guide
  • summative assessments
  • practice in multiple formats


Teachers and administrators should continue to evolve teaching practices, leverage high quality materials, and still see significant learning gains in each of their students, even as learning modalities change and shift. We can help you make sure this happens!


Developing Routines and Procedures for Virtual Learning


Implementing Technology Tools to Drive Student Collaboration and Discourse

The first step is to determine the elements of teaching and learning that you want to maintain in the virtual environment. These should not materially change from the elements you were trying to instill in your face-to-face classroom environment. Collaboration, communication, conceptual understanding and procedural fluency are all things that can be accomplished in both virtual and face-to-face classroom environments.


  • Determine tools: technology, content and classroom management that will help facilitate your learning goals.
  • Collaboratively develop a virtual classroom culture with your students.
    • Provide students with an overview of virtual classroom tools (e.g., Chat, Annotate, Raise Hand, Share Screen) and the opportunity to engage and practice with them during content-agnostic classroom sessions. Tools can be incrementally introduced throughout the year.
    • Establish clear expectations for engagement and participation.
  • Create discussion boards within your online classroom and establish clear expectations for student posts and collaboration with their peers. A shareable Google Document can also be used to host these discussions.
  • Provide students with an overview of each tool so they fully understand the capabilities and expectations you have for use.




Synchronous Implementation

The lessons in the textbook are well suited for synchronous in-person and virtual learning environments. These lessons are designed to introduce students to the topic, build on prior knowledge and deepen conceptual understanding. They can be leveraged in whole class, small group and individual instruction.


They include:

  • Getting Started - which can be used to formatively assess student readiness for the lesson.
  • Lesson Activities - which build conceptual understanding by enabling students to explore the mathematics
  • Talk the Talk - an exit ticket from the lesson that can act as a formative assessment.



In a synchronous environment, teachers should leverage questions from the Teacher Implementation Guide to engage students and get them interacting with each other and the math. In a virtual environment, students can be broken into smaller groups and teachers can move between those groups before bringing students back together.


Asynchronous Implementation

In an asynchronous environment students might need a little support doing the lessons. We have developed lesson overview videos that students can watch first to introduce them to the lesson. Often, teachers have students take pictures of their work (if they are working in a physical textbook instead of an ebook) and upload them for review. Teachers can spot check student work on the lessons.


To fully understand student learning, teachers can access the Talk the Talk and the assignments, which provide great insight on student understanding. Teachers should give the Talk the Talk a deeper review. When doing assignments, students can access LiveHint to get support in a virtual or in-person environment. This capability extends the teacher by providing contextual support.

  • Activities and Tasks
  • Collaboratively develop a virtual classroom culture with your students
    • Lesson Activities
      • Virtual Task Sorts
      • Virtual Manipulatives
    • Talk the Talk
    • Assignment Pages
  • Resources
    • Student Learning Videos
    • LiveHint to support work in Assignment Pages
    • Glossary


Implementing Carnegie Learning’s MATHia


Synchronous Implementation


MATHia is a key component of the learning experience. The formative assessment and support MATHia provides ensures that students learning virtually are getting a robust learning experience and teachers are getting valuable data about what each student knows or is struggling with. We recommend that teachers start by leveraging some of the synchronous learning time for MATHia so that students learn how to use it effectively and get the most from the learning experience. Teachers can access LiveLab while students are working to identify those that need more targeted support.


  • Introduce MATHia during synchronous sections with students in classroom and virtual learning scenarios to support students in building independent learning skills.
    • Utilize Content Browser to demonstrate MATHia tools; students can also drive this exploration by sharing their screen.
  • Utilize synchronous MATHia time to facilitate small group and individual instruction.
    • MATHia data in reports and LiveLab highlights student misconceptions and gaps in understanding. This data, paired with Coherence Maps, can help inform teachers’ planning and facilitation of supplemental instruction.
    • In virtual settings, video conferencing tools can be utilized to pull select students and address identified topics.
    • Content Browser can be used to collaboratively work through and discuss the math within workspaces.


Asynchronous Implementation

MATHia is specifically designed for students to work independently. It gives each student a truly personalized experience and has multiple supports built in to keep them on track:


  • Step-by-Step Examples guide students through sample problems, describing each step, rephrasing or redirecting questions, and honing in on the parts of the problem that are proving difficult.
  • Contextual Hints help students with problem-solving when they get stuck or exhaust their approach to an answer.
  • Just-in-Time Feedback responds to student inputs and reflect common misconceptions they may have.
  • Progress Meter gives students up-to-the-minute insight into how they are progressing on the skills presented in each problem, and how much work they have remaining in the workspace.
  • Glossary
  • Text-to-Speech
  • Google Translate


Got questions about how to implement this? Email us at We’re here to help you and your students have an excellent school year.