Persistent challenges in mathematics achievement, particularly in problem-solving, are evident in under-resourced junior high schools. This necessitates innovative pedagogical interventions that leverage cognitive transfer from complementary disciplines to enhance mathematical reasoning. This article proposes a novel conceptual framework to theorise the mechanisms of cognitive transfer from structured chess instruction to mathematics problem-solving competency. It aims to delineate the specific cognitive processes involved and provide a testable model for future empirical research. The framework is developed through a synthesis of cognitive load theory, theories of transfer of learning, and domain-specific problem-solving literature. It is designed to inform a subsequent quasi-experimental study comparing mathematics scores between intervention and control groups. The framework posits that chess instruction primarily enhances mathematics performance by developing meta-cognitive skills in strategic planning and systematic evaluation of alternatives. A central proposition is that transfer effects will be most pronounced in geometric reasoning and word problems, with an anticipated effect size of at least 0.3 standard deviations. The proposed framework offers a rigorous theoretical foundation for investigating chess as a pedagogical tool for cognitive development in mathematics. It clarifies the hypothesised causal pathways from chess training to specific mathematical competencies. Curriculum developers and teacher educators should consider integrating the framework's principles into the design of extracurricular cognitive enrichment programmes. Future research should empirically validate the model's components through controlled studies. cognitive transfer, conceptual framework, mathematics education, problem-solving, chess pedagogy, Ghana This paper provides the first detailed theoretical model explicating the mechanisms of chess-to-mathematics transfer within the context of sub-Saharan African basic education, offering a structured basis for curriculum innovation and targeted intervention.
Asante et al. (Sat,) studied this question.