Abstract
Background and Motivation:
Mathematical competency in early primary education is a strong predictor of long-term academic achievement and economic outcomes. However, numeracy in Pakistan's public primary schools remains critically low. A key driver of weak mathematics performance is an over-reliance on rote memorisation and algorithmic procedures, at the expense of flexible numerical reasoning. Mental math — the ability to perform calculations efficiently and accurately without written aids — develops this flexibility by training students to apply strategic thinking to numerical problems. Despite a growing body of evidence from high-income contexts, there is limited rigorous evidence on whether structured mental math instruction, delivered through teacher training, can improve mathematical fluency and broader cognitive outcomes in a low-resource South Asian setting.
Intervention:
This study evaluates a mental math training programme delivered to mathematics teachers in public primary schools in District Attock, Punjab, Pakistan. The intervention trains teachers in a set of evidence-based mental computation strategies — including partitioning and recombining, sequencing, use of near-multiples, and doubling and halving — which they then integrate into regular classroom instruction for Grade 3 and Grade 4 students. The training is designed to be low-cost, replicable, and compatible with the existing national curriculum.
Study Design:
This is a parallel two-arm, school-level randomized controlled trial. Sixty public primary schools across Tehsil Attock and Tehsil Hassanabdal were randomly assigned to treatment (30 schools) or control (30 schools), stratified by tehsil and school gender type. Randomisation was conducted at the school level to avoid contamination between treatment and control classrooms. Control schools continue with standard instruction throughout the study period.
Data:
Data will be collected at baseline and endline. Student assessment measuring direct calculation, applied word problems, mathematics fluency, non-verbal reasoning through matrix pattern completion, cognitive inhibitory control through the Stroop colour-word task, and a standardized oral mental math sequence.
Primary Outcomes:
The primary outcomes are student scores on the mental math sequence, the direct calculation section, and the mathematics fluency section of the assessment. Secondary outcomes include applied word problem performance, non-verbal reasoning scores, and inhibitory control as measured by the Stroop task.
Heterogeneous Effects:
The analysis will examine heterogeneous treatment effects by student gender, baseline mathematics performance, school type (mixed versus single-sex), and household socioeconomic status.
Sample and Timeline:
The study covers approximately 2,800 Grade 3 and Grade 4 students across 60 schools.