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At the STEM Innovation for Inclusion in Early Education (STEMI2E2) center, we are developing and validating learning trajectories for science, technology, and, engineering. At the same time, we are improving existing trajectories for math. Why are learning trajectories critical to early childhood educators? Learning trajectories help educators understand how children think and learn about STEM topics and at the same time, how to support progressions in child thinking and learning.

About the Authors
Douglas H. Clements'' headshot Douglas H. Clements, Ph.D.
Dr. Clements received his PhD from the University at Buffalo, State University of New York. Previously a preschool and kindergarten teacher, he has conducted funded research and published over 500 articles and books in the areas of the learning and teaching of early mathematics and computer applications in mathematics education.

Julie Sarama's headshotJulie Sarama, Ph.D.
Dr. Sarama received her PhD from the University at Buffalo, State University of New York. Dr. Sarama has taught secondary mathematics and computer science, gifted math at the middle school level, preschool and kindergarten mathematics enrichment classes, and mathematics methods and content courses for elementary to secondary teachers. She designed and programmed over 50 published computer programs, including her version of Logo and Logo-based software activities (Turtle Math™, which was awarded Technology & Learning Software of the Year award, 1995, in the category "Math").

WHAT ARE LEARNING TRAJECTORIES?

Research-based learning trajectories include three parts:

  1. a goal,
  2. a developmental progression, and
  3. teaching.

The goal is grounded in content knowledge of the topic (for example science, technology, engineering, or math). To reach the goal, children learn each successive level of thinking in the developmental progression. Children move through the progression via teaching designed to build understanding and skill that enables thinking at each higher level. Teaching includes the environment, interactions, and activities. At the core of learning trajectories is children’s thinking and learning. So, their educational experiences are sure to be developmentally appropriate.

EXAMPLE

For example, we know that most young children learn to keep one-to-one correspondence up to about 5 objects in a line before they learn that the last counting word tells how many in the set the counting, and only later how to keep one-to-one correspondence in unordered sets of objects. This is just a small section of the developmental progression for counting illustrating how it can help sharpen our observation skills and help us plan informal and more intentional activities.
As this example suggests, learning trajectories are well developed in mathematics (and some non-STEM fields such as literacy). But we are also learning how children develop and understanding of science and engineering concepts. So learning trajectories can guide teaching in all STEM domains.

PRACTICE POTENTIAL FOR YOUNG CHILDREN WITH DISABILITIES

For early childhood educators, assessing, understanding, and teaching with learning trajectories based on the developmental sequences described here is especially important for children with disabilities. Children with disabilities might be operating at levels different from their peers. They may be at quite different levels in one topic (say, counting) than others (such as geometry). Because learning trajectories offer several “ways into” important topics like arithmetic (e.g., counting, subitizing, partitioning), children can build on their strengths. At the same time, they can make developmental progress in other topics. Also, learning trajectories’ levels are broader ways of thinking (e.g., to get to the next level), rather than narrower skills. So, children can both learn and show competencies in each level using a variety of modalities and representations. Most importantly, learning trajectories can be aligned with formative assessment and the Individualized Education Program (IEP) or the Individualized Family Service Plan (IFSP) process.

Most early childhood professionals agree in general with the notion of “meeting each child where they are.” But, in STEM fields especially, few have been supported in understanding a developmental (formative) path that:

  1. describes and explains where children’s level of thinking is,
  2. what the next challenging, but achievable, level is, and
  3. how to support, children, including making accommodations and modifications for
    those with disabilities, to accomplish their goals.

 

Formative Assessment
(Strategy) 

Learning Trajectories
(Technique)

Where are you trying to go?

Goal

Where are you now?

Developmental Progression

How do you get there?

Teaching (activities)

 

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Children can develop the foundations for STEM (science, technology, engineering, math) learning right from infancy. Yet children with developmental delays and disabilities are especially denied opportunities to learn STEM.  By the time children get to high school, the disparity in STEM learning is very obvious (see chart below).  Data from the Department of Education show a large disparity in enrollment in STEM courses between high school students with (IDEA) and without a disability.

Chih-ing lim's headshotby
Chih-Ing Lim,  PhD.
Co-director of the STEM Innovation for Inclusion in Early Education Center (STEMIE)

For us as a field, this presents opportunity for improvement in early childhood STEM learning. We know preschoolers’ free play involves STEM skills as they explore patterns and shapes; engineer with various materials; and explore scientific concepts. Even infants and toddlers’ exploration of the world around them is STEM-related — as they experiment with concepts of cause and effect, shapes, and experience with their senses. We also know families are children's first and longest lasting teachers. Families are more likely to implement and use intervention practices when they understand the benefits. Yet, how do we move the dial more toward including young children with disabilities in STEM learning? One way is to center instruction around learning trajectories or developmental progression. We’ll talk about the process more in future posts. Doing so focuses practitioners’ attention on children’s thinking and learning rather than their memberships in diverse groups (e.g., racially, ability). Using learning trajectories also helps avoid perceptions that can negatively affect early childhood STEM teaching and learning.


US department of education data that illustrates the percent of high school students enrolled in STEM courses

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Welcome to the Community

Hi and welcome to the STEM4EC community, an initiative of STEMIE (STEM Innovation for Inclusion in Early Education) national center. We look forward to your participation.  We started this community as a way to engage you in exchanging ideas, personal narratives, and questions about including young children with disabilities in STEM learning. Whether you are an early childhood or early childhood special education practitioner, faculty, family member of a child with disabilities, or a STEM industry professional, this place is for you!  Here are a few easy ways for you to contribute:

About the Authors
Megan Vinh's headshotMegan Vinh, PhD.
Director of the STEM Innovation for Inclusion in Early Education Center (STEMIE)
Chih-ing Lim's headshotChih-Ing Lim,  PhD.
Co-director of the STEM Innovation for Inclusion in Early Education Center (STEMIE)

 

Share your ideas and experiences

We feature a weekly blog on STEM learning for young children with disabilities. Blogs include insights, infographics, guest articles, videos, podcasts, and more.  Learn about early STEM learning and children with disabilities. Share your comments with us — your ideas and experience.  Your comments and replies are valued!

Join in the Community

Sign up for an account to maximize your impact! Network with others who are interested in advancing STEM in early childhood, exchange and develop ideas and knowledge with others, and share stories and experiences. 

Send us your ideas

Have an idea for a community discussion or event?  Let us know at stemie@unc.edu

Pass a 'word of mouse' to your colleague

All community blogs and infographics have share links for quick share to social media and email.  Share away!  Also, feel free invite anyone else who might be missing out.  

Review the community guidelines

Finally, here is a link to our community guidelines and privacy statement.   

 

We look forward to learning together with you.

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Welcome

Hello and welcome to the STEM4EC Community.  We invite your participation.

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Fact: Assistive technology ranges from low-tech aids, such as grasping supports, to specialized high-tech supports, such as an augmentative communication system, based on the individualized needs of the child.


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