Resource Collection: Building Educators' Understanding of Early Mathematics to Promote Students' Later Mathematics Success


January 2016

These resources are drawn from in-person and web-based events, hosted by the Santa Clara County Office of EducationSilicon Valley Education Foundation, and the Silicon Valley Research Alliance at REL West, designed for educators that share strategies for teaching math to young children. The content focuses on the foundational PK - grade 2 mathematics knowledge and skills necessary for students to achieve mastery of the Common Core State Standards and meet with success across grade levels. This page contains the following resources, below:

  • Discussion Guide
  • Videos
  • Transcripts
  • PowerPoint Presentations
  • Hands-on Activity Worksheet
  • Additional Resources
  • Tips for Facilitators


1. Discussion Guide for Facilitators

2. Video

The full webinar video features Professor Frye presenting live using a powerpoint and voiceover and three individual videos of Professor Takahashi. These three videos of Professor Takahashi can also be viewed individually at the following links:

i. Planting the Seeds for CCSS-M, Part 1: An Emphasis on Problem Solving

ii. Planting the Seeds for CCSS-M, Part 2: Four Recommendations for Addressing the Standards for Mathematical Practice

iii. Planting the Seeds for CCSS-M, Part 3: Thinking Mathematically Through Number Composition and Decomposition

3. Webinar and Video Transcripts

Webinar Transcript

Dr. Takahashi Video 1 Transcript

Dr. Takahashi Video 2 Transcript

Dr. Takahashi Video 3 Transcript

4. Webinar PowerPoint Presentations

Webinar PowerPoint Presentation

Dr. Takahashi PowerPoint Presentation

5. Worksheet with a hands-on activity to explore connections between early math instruction and students' later math success

Interactive Activity

Additional Resources

Carnegie Mellon Children's School Director Sharon Carver: Meaningful Math in Earlie Childhood Education

School Readiness and Later Achievement, Duncan et al., 2007 research abstract

Common Core State Standards Initiative Website, standards for K-12 Math

Tips for Facilitators: Using These Materials for Professional Learning

The resources from these two events provide strong, research-based content to help educators in preschool or primary grades especially consider instructional practices to improve students' mastery of the CCSS-M. Suggestions are given below for using the materials as a whole or in part for professional learning.

1. Plan for engagement with these resources by developing some questions or a problem of practice regarding math instruction, professional development, or data use in your school or district. This will ensure that your use of the materials is targeted, strategic, and mindful of participants' time.

2. Select key resources and develop professional learning opportunities that respond to your focus or problem of practice. Some suggestions follow:

    •    Develop sessions to unpack the IES Teaching Math to Young Children Practice Guide. Utilize the guide as well as the first half of the archived webinar with Professor Frye or the video in the Additional Resources with Professor Carver, another guide author, to consider how the recommendations can be used in your context. 

    •    View the full webinar with question prompts related to your problem of practice.

    •    Use the video clips of Professor Takahashi's presentation relevant to your problem of practice. Consider, for example, application at different grade levels or different student groups (e.g. English learner students). Locate classroom video examples of these strategies in use to reflect on as a team.

    •    Use the hands-on activity worksheet to consider how skills need to build across grade levels. Have manipulatives available to model how solving the problem might be done with students.


Dr. Douglas Frye, Associate Professor, University of Pennsylvania Graduate School of Education. Biography

Dr. Akihiko Takahashi, Associate Professor, DePaul University. Biography