Key research themes
1. How do digital and non-digital mathematical games influence engagement and learning outcomes in mathematics education?
This theme investigates the comparative impact of digital versus non-digital mathematical games on student engagement, motivation, and proficiency. Understanding which modalities and design characteristics of games better promote meaningful learning in mathematics is critical given teacher preferences and educational contexts. Empirical studies here delve into effect sizes, student enjoyment, and differential benefits for various learner abilities.
2. What game mechanics and design principles support mathematical problem-solving and conceptual understanding in mathematical games?
This theme explores specific game mechanics and theoretical design frameworks that scaffold cognitive, affective, and behavioral engagement, thereby facilitating deep mathematical understanding and problem-solving abilities. It also investigates how declarative and operational perspectives in gameplay contribute to players’ strategic thinking, analysis of winning positions, and algorithmic solution development in mathematical problem-solving games.
3. How does game theory inform the mathematical modeling and analysis of strategic decision-making in mathematical games and cryptography?
This theme addresses the mathematical grounding of games via game theory, focusing on strategic interaction, equilibria, and algorithmic modeling. It includes analyses of combinatorial and cryptographic games, illustrating the use of formal game-theoretic frameworks to study decision-making, incentive alignment, and solution strategies in abstract games and security protocols, with mathematical rigor.