Beyond B-I-G: Teaching Measurement to 3-Year-Olds with Speech Delay

Teaching mathematical measurement to a three-year-old is a joyful, chaotic endeavor. At this age, measurement isn't about rulers and inches; it's about exploring the attributes of their word-discovering what is taller, heavier, or holds more sand. However, when a child experiences a speech delay or Developmental Language Disorder (DLD), these abstract comparative concepts can feel particularly elusive.

The challenge lies in the dual nature of mathematics. While many conceptual mathematical skills are non-verbal, the way we teach and access them is often high language-dependent. For children with speech delays, the verbal demands of mathematics can act as a significant barrier to demonstrating their true conceptual understanding.

Understanding the Language-Math Link

Research indicates that children with developmental language disorders often perform similarly to their typical developing peers on non-verbal mathematical tasks, such as conceptual experiments or magnitude comparisons. Their difficulties are primarily concentrated on tasks with higher verbal demands, such as counting, transcoding numbers, and solving story problems (Cross et al., 2018).

This distinction is crucial when tutoring on measurement. A child might inherently understand that one block tower is "more" more than another, but struggle to retrieve the specific words "taller" or "shorter" on command. Our tutoring must bridge this gap by minimizing verbal pressure while maximizing concrete, sensory experience.

Here are four evidence-based strategies to support early measurement skills in three-year-olds with speech delays.

1. Leverage Non-Verbal Formats and Gesture

Since verbal expression is a hurdle, emphasize non-verbal methods of representation. Encourage the use of hands, body, and objects to communicate mathematical ideas. Students of children with Specific Language Impairment (SLI) have found that they sometimes express more advanced mathematical knowledge through gestures than through speech, suggesting that their knowledge may be represented non-verbally (Mainela-Arnold et al., 2011).

Instead of asking, "Which one is longer?" as the child to show you. Model using your hands to indicate a wide distance for "long" and a pinched distance for "short," and encourage them to copy your body language. Use physical objects like yarn, blocks, or footsteps as non-standards measurement units, allowing them to see and feel the measurement.

2. Engage in Scaffolded "Math Talk"

We cannot avoid language entirely; it is the tool that helps children refine their concepts. The key is how we structure language. Instead of testing the child, use intentional descriptive "math talk" with shared activities.

The amount of math-related talk provided by educators and tutors is significantly related to the growth of preschoolers' conventional mathematical knowledge over the school year (Klibanoff et al., 2006). When tutoring, narrate the child's actions using targeted measurement vocabulary: "You made a taller tower!" or "Wow, that bucket is heavy." By pairing the word with immediate sensory experience, you are helping them build the lexical connection without demanding immediate verbal production.

3. Integrate Measurement into High-Quality Interactions

Learning should never feel like a drill, especially for a toddler. Mathematical concepts are most meaningful when they emerge naturally from play and interaction. The quality of interactions between educators and children, particularly domain-specific conversations about mathematical content, has been shown to promote both numeracy skills and mathematical language development (King & Purpura, 2021).

Turn snack time into a measurement lesson: "Who has more crackers?" or "Let's pour the milk. Is your cup full or empty?" Utilize sensory bins with sand or water to compare capacity, focusing on full, empty, and holds more. The inherent "fairness" debate in toddler play- "he has a bigger piece"- is sophisticated, motivating entry point into measurement.

4. Use Storytelling to Target Spatial-Mathematical Vocabulary

Picture books are excellent tools for contextualizing abstract concepts. Shared, dialogic, reading interventions that incorporate mathematical language, including spatial terms such as under, between, or longer, have been shown to significantly increase children's scores on subsequent mathematical assessment (Purpura et al., 2017).

Choose books that explicitly contrast sizes or spatial relationships. As you read, pause to model the spatial relationships physically or model the target vocabulary without pressure for the child to repeat immediately. You are building foundation comprehension that will eventually support their expressive language.

By focusing on concrete experience, non-verbal communication, scaffolded language, and interactive play, you can help your three-year-old discover the measurable magic of their world, ensuring that a delay in speech does not mean a delay in mathematical discovery.

References

Cross, A. M., Joanisse, M. F., & Archibald, L. M. D. (2018). Mathematical abilities in children with developmental language disorder: A scoping review. Language, Speech, and Hearing Services in Schools, 49(3), 395–408. https://doi.org/10.1044/2018_LSHSS-18-0041

King, Y. A., & Purpura, D. J. (2021). Direct and indirect pathways between the home physical environment and preschoolers' math skills. Early Childhood Research Quarterly, 54(1), 220–231. https://doi.org/10.1016/j.ecresq.2020.09.006

Klibanoff, R. S., Levine, S. C., Huttenlocher, J., Vasilyeva, M., & Hedges, L. V. (2006). Preschool children's mathematical knowledge: The effect of teacher “math talk.”. Developmental Psychology, 42(1), 59–69. https://doi.org/10.1037/0012-1649.42.1.59

Mainela-Arnold, E., Alibali, M. W., Ryan, K., & Evans, J. L. (2011). Knowledge of mathematical equivalence in children with specific language impairment: Insights from gesture and speech. Language, Speech, and Hearing Services in Schools, 42(1), 18–30. https://doi.org/10.1044/0161-1461(2010/09-0013

Purpura, D. J., Napoli, A. R., Wehrspann, E. A., & Gold, Z. S. (2017). Causal connections between mathematical language and mathematical knowledge: A dialogic reading intervention with preschoolers. Journal of Educational Psychology, 109(6), 844–855.https://doi.org/10.1037/edu0000171