b4Math: Development and validation of a digital assessment for early numeracy in kindergarten classrooms

Read full text
Authors: Christian Peake, Esmeralda Dionicio, Yovanna Galaz-Nowajewski, Kamila Schulz
Cited by: 0

Abstract

Early numeracy constitutes a foundational component of later mathematical learning, yet rigorously validated assessment tools for preschool-aged children remain scarce in Latin American contexts. The present study aimed to develop and psychometrically validate b4Math, a digital screening tool designed to assess early numeracy in children attending the final year of preschool (age 5). The tool is designed to support classroom-based screening and instructional decision-making. b4Math evaluates five domain-specific numerical processes: cardinality, counting sequence, number identification, symbolic number comparison, and ordinality, aligned with curricular objectives for early mathematics education. Data were drawn from two cohorts in Chile (total N = 357), collected across two waves (2023–2024). Construct validity was examined using confirmatory factor analysis (CFA). Four dichotomous-response tasks (cardinality, identification, comparison, and ordinality) were modeled using a correlated four-factor CFA with the WLSMV estimator, showing excellent fit and clear multidimensional structure. The counting-sequence task, yielding continuous responses, was analyzed separately using a single-factor CFA with robust maximum likelihood estimation (MLR), demonstrating high factor loadings and internal consistency. Measurement invariance across gender and temporal stability (test–retest) were supported. Internal consistency indices were satisfactory across subscales. External validity was established through associations between b4Math factor scores and mathematical achievement as measured by the Applied Problems subtest of the Woodcock–Muñoz Battery. Overall, results support the reliability and validity of b4Math as a culturally pertinent, digitally delivered assessment of early numerical skills. b4Math offers educators and researchers in Latin America an efficient tool for screening and monitoring foundational numerical competencies critical for later mathematics learning.

Fields of Study & Subjects

Cognitive and developmental aspects of mathematical skills Mathematics Education and Teaching Techniques Psychometric Methodologies and Testing

Publication details

Publication date
12 January 2026
Document type
Preprint