Please ensure Javascript is enabled for purposes of website accessibility Challenge
  • IRIS Center
  • Resources
    • IRIS Resource Locator
      Modules, case studies, activities, & more
    • Evidence-Based Practice Summaries
      Research annotations
    • High-Leverage Practices
      IRIS resources on HLPs
    • Films
      Portrayals of people with disabilities
    • Children's Books
      Portrayals of people with disabilities
    • Glossary
      Disability related terms
    • For PD Providers
      Sample PD activities, planning forms, & more
    • For Faculty
      Top tips, coursework planning, & more
    • Website Navigation Videos
      Getting around our Website & modules
    • New & Coming Soon
      Latest modules & resources
    • IRIS Archived Resources
      Modules, alignment tools, & more
  • PD Options
    • PD Certificates for Educators
      Our certificate, your PD hours
    • Log in to Your IRIS PD
    • For PD Providers
      Sample PD activities, planning forms, & more
    • IRIS+ School & District Platform
      A powerful tool for school leaders
  • Articles & Reports
    • Articles
      Articles about IRIS use & efficacy
    • Internal IRIS Reports
      Reports on IRIS use & accomplishments
    • External Evaluation Reports
      Evaluations of the IRIS Center
    • IRIS Stories
      Our resources, your stories
    • News & Events
      What, when, & where it's happening
  • Help
    • Help & Support
      Get the full benefit from our resources
    • Website Navigation Videos
      Getting around our Website & modules
  • High-Quality Mathematics Instruction: What Teachers Should Know
Challenge
Initial Thoughts
Perspectives & Resources

What is high-quality mathematics instruction and why is it important?

  • 1: The Importance of High-Quality Mathematics Instruction
  • 2: A Standards-Based Mathematics Curriculum
  • 3: Evidence-Based Mathematics Practices

What evidence-based mathematics practices can teachers employ?

  • 4: Explicit, Systematic Instruction
  • 5: Visual Representations
  • 6: Schema Instruction
  • 7: Metacognitive Strategies
  • 8: Effective Classroom Practices

Resources

  • 9: References, Additional Resources, and Credits
Wrap Up
Assessment
Provide Feedback

High-Quality Mathematics Instruction: What Teachers Should Know

Challenge

Review the movie below and then proceed to the Initial Thoughts section (time: 3:03).

/wp-content/uploads/module_media/math_media/movies/math_chall.mp4

Transcript

Transcript: Challenge

Over the last five years, the principals and teachers in the Lincoln School district focused their attention and resources on improving reading instruction. The result of those efforts was an increase in student reading scores. Given this success, the administrative personnel at the district level now wish to do the same for their students’ mathematics performance.

To begin, the district superintendent hires a consultant to observe and to informally interview a representative sample of kindergarten through twelfth-grade teachers. The consultant collects information about the practices and activities the teachers implement during mathematics instruction. She also reviews the current curriculum for each grade level.

Finally, the consultant issues a report of her findings: The good news is that the curriculum aligns with their state’s standards. However, many school personnel are not using all of the included materials or are not able to cover all the skills outlined in the scope and sequence of each grade level’s curriculum. Additionally, some school personnel are not teaching the skills correctly or aligning their instruction with the curriculum materials. More, most are emphasizing teaching computational skills over real-world problem-solving skills. Because of this, the students do not develop a strong understanding of mathematics concepts. They also struggle to make connections between them.

  • Upper-level teachers must reteach topics covered in the earlier grades.
  • A majority of students across grade levels perform poorly on high-stakes standardized tests.
  • A large number of students have difficulty meeting high school graduation requirements related to mathematics.
  • A disproportionate number of students have to take remedial mathematics courses in college.

To address these issues, the consultant recommends that the teachers implement high-quality mathematics instruction. By doing so, school personnel should see an improvement in student performance. The district personnel reply that—as far as they knew—they were already using high-quality mathematics instruction and had been all along. Given this revelation, they are unsure of what they need to do differently.

Here is your Challenge:

What is high-quality mathematics instruction and why is it important?

What evidence-based mathematics instructional practices can teachers employ?

Print Friendly, PDF & Email
Back Next
Join Our E-Newsletter Sign Up
  • Home
  • About IRIS
  • Sitemap
  • Web Accessibility
  • Glossary
  • Terms of Use
  • Careers at IRIS
  • Contact Us
Join Our E-Newsletter Sign Up

The IRIS Center Peabody College Vanderbilt University Nashville, TN 37203 [email protected]. The IRIS Center is funded through a cooperative agreement with the U.S. Department of Education, Office of Special Education Programs (OSEP) Grant #H325E220001. The contents of this website do not necessarily represent the policy of the U.S. Department of Education, and you should not assume endorsement by the Federal Government. Project Officer, Anna Macedonia.

Copyright 2025 Vanderbilt University. All rights reserved.

* For refund and privacy policy information visit our Help & Support page.

Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

  • Vanderbilt Peabody College
We use cookies to ensure that we give you the best experience on our website. If you continue to use this site we will assume that you are happy with it.Ok