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Mathematical Games

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lightbulbAbout this topic
Mathematical games are structured activities that involve mathematical concepts and strategies, often designed to enhance problem-solving skills, logical reasoning, and critical thinking. These games can be competitive or cooperative and typically require players to apply mathematical principles to achieve specific goals or outcomes.
lightbulbAbout this topic
Mathematical games are structured activities that involve mathematical concepts and strategies, often designed to enhance problem-solving skills, logical reasoning, and critical thinking. These games can be competitive or cooperative and typically require players to apply mathematical principles to achieve specific goals or outcomes.

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.

Key finding: This empirical study involving 153 middle school students demonstrated that the digital educational game "Decimal Point" led to significantly higher gains in decimal problem-solving on both immediate (effect size d = 0.43)... Read more
Key finding: Surveying 122 educators, this study identified key valued characteristics of non-digital mathematical games such as a balance between skill and luck, centrality of mathematical content, engagement, flexibility, and... Read more
Key finding: Through a systematic examination of teacher practices and preferences, this research established that primary educators predominantly favor non-digital games to support mathematics instruction, driven by factors such as... Read more
Key finding: This review synthesizes literature on digital math games and identifies crucial mechanics like goals and rewards, rules and instructions, aesthetics, interaction, challenge, and feedback that foster development of... Read more
Key finding: This review of 80 studies from 2017-2021 reveals an increasing quantitative and experimental research emphasis on digital and non-digital game-based learning in mathematics. It finds that games generally improve academic... Read more

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.

Key finding: The paper highlights a rigorous approach combining declarative characterization of game states with algorithmic solution development, emphasizing identifying winning and losing positions in two-player mathematical games. It... Read more
Key finding: In addition to its focus on engagement, the paper identifies feedback, challenge, and personalized learning as critical game mechanics that directly enhance cognition and problem-solving skills in mathematics. Such mechanics... Read more
Key finding: The authors propose a sixth principle of educationally-rich mathematical games: the potential to transform games into investigations. This shift from gameplay to inquiry promotes deeper mathematical thinking by encouraging... Read more
by James A Russo and 
1 more
Key finding: This paper identifies five powerful game mechanics in whole-class settings—such as competition, collaboration, chance, strategy, and exploration—which foster mathematical thinking and engagement. It dissects how the... Read more
Key finding: By studying elementary students, this research demonstrates correlations between abilities in pattern recognition and proficiency in playing mathematical games. The findings suggest that games can be strategically employed to... Read more

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.

Key finding: This paper provides a mathematical foundation for game theory concepts including players, strategies, utilities, and game forms (normal and extensive). It categorizes games by number of players, information, and payoff... Read more
Key finding: The work extends game theory to economic and strategic contexts, emphasizing concepts such as dominant strategies, Nash equilibrium, and mixed strategies. It highlights how such equilibria represent stable strategic outcomes... Read more
Key finding: This analytical study formalizes game theory concepts, defining games as quadruplets of players, strategies, outcomes, and payoffs. It differentiates between pure and mixed strategies and explicates representations like... Read more

All papers in Mathematical Games

Education is a pivotal component of human capital development. However, barriers to human capital development exist, particularly in the education sector of Akwa Ibom State. This necessitated the study to assess the barriers to human... more
Mathematical games are widely used in primary school classrooms, yet the activities that are labelled as "games" vary considerably in their structure, cognitive demands, and potential to support student reasoning. This conceptual paper... more
This study was designed to determine the students' achievement in Physics in secondary schools through the care of equipment, using demonstration and enhanced lecture methods in Nsit-Ubium, Akwa Ibom State, Nigeria. Three research... more
An integer-based mathematical game was the main subject of the study. The aim of this study was to analyse the mathematical content of the game which was developed by a fourth-grade student called Esin, and to examine the intuitive... more
Mass illiteracy is a major problem in most third world countries; hence most governments encourage adult education. Nigeria is a third world country where a high proportion of the adult populations are illiterates. Teacher variables like... more
The systemic thrust of this education centered on the liberal arts modality and not the sciences. This system of education was formulated to serve the colonial interest which was at the center of colonial policy formulation whereas the... more
The study focused on the effect of using T-game in teaching Mathematics among 80 Grade VII Students of Tabok National High School in the Mandaue City Division, Tabok Mandaue City for the 2014-2015 school year. Specifically, it looked into... more
The study focused on the effect of using T-game in teaching Mathematics among 80 Grade VII Students of Tabok National High School in the Mandaue City Division, Tabok Mandaue City for the 2014-2015 school year. Specifically, it looked into... more
In this paper we describe the contributions made by Margherita Piazzolla Beloch to the field of elementary geometric construction. In particular we examine her solution of the classical Greek problem of doubling the cube via paper... more
Martin Gardner eglence matematiginde uzmanlaşmış ABD'li popüler matematik ve popüler bilim yazarıdır. Scientific American'da 25 yıl boyunca yazdıgı "Matematiksel Oyunlar" (Mathematical Games) köşesi matematigin popülerleşmesinde,... more
This study centered on perception of teachers' motivational variables and senior secondary one students' academic achievement in Biology in Abak Local Government Area of Akwa Ibom State. The Quasi Experimental design was used for the... more
Mathematical games are widely employed by primary school teachers in many countries to support mathematics instruction. Despite broad usage, teacher decision making in relation to both why they choose to use mathematical games as a... more
Although teacher education programs are offered in Nigeria by different teacher education institutions (as provided in the National Policy on Education), and varying degrees of success recorded, various problems still confront the program... more
This group was aware of the historical heritage of the colonial educational system that produced the grammar school-liberal arts nature of Nigerian education and the elitism that was attached to it. They
Because many seniors choose Medicare Part D plans offering poorer coverage at greater cost, the authors examined the effect of price frames, brand names, and choice set size on participants’ ability to choose the lowest cost plan. A 2 × 2... more
by James A Russo and 
1 more
Australian primary school teachers have reported that they use games frequently in teaching mathematics. In this paper, the authors discuss the game mechanics of five types of mathematical games that can be particularly powerful for... more
Higher learning institutions, including universities and polytechnics around the world are increasingly focusing on e-learning (i.e., ICT-enabled education) to help boost both the quality and quantity of education that they provide. Many... more
The advents of internet and Globalization have brought diversified activities in all aspects of human endeavour including the classroom. The introduction of instructional technologies in the classroom has caused a lot of researches in... more
Os jogos têm despertado o interesse de investigadores no sentido de averiguar o benefício da sua prática no desenvolvimento de capacidades. Este interesse emerge, possivelmente, das caraterísticas motivadoras do jogo em geral e do facto... more
Um estudo realizado junto de alunos do 3.º ao 6.º ano de escolaridade permitiu verificar a existência de relação entre a força do jogador de xadrez e a capacidade de resolver problemas com padrões. Este resultado suscitou a curiosidade de... more
Games have been triggering researcher's interest to verify whether their practice brings benefits to the development of abilities. This interest emerges, probably, from the motivating characteristics of playing in general and from the... more
Higher educational institutions have utilized problem-based learning (PBL) approaches over the last two decades. The approach has been found to enable educators to adopt different teaching and learning strategies. This study examined how... more
Personal financial literacy (PFL) is an imperative life skill that all 21st-century students should have. Research shows that the levels of financial literacy in both developing and developed countries are very low across people of all... more
Teacher is a central factor in any educational system and the job confidence of any teacher goes a long way to boost educational benefits obtained by learners. Investigating into variables that are related to job-confidence to provide... more
This study is a survey aimed at ascertaining the attitude of academic staff in tertiary institutions in Imo State Nigeria towards the use of information and communications technology (ICT) in teaching. It also examines their level of use... more
Os jogos têm despertado o interesse de investigadores no sentido de averiguar o benefício da sua prática no desenvolvimento de capacidades. Este interesse emerge, possivelmente, das caraterísticas motivadoras do jogo em geral e do facto... more
Mobile educational applications encompass some of the most valuable learning tools that have ever been developed. Games for learning are most effective when multiple sessions are involved. Previous research on the use of educational games... more
O presente trabalho trata da importância do uso dos jogos para a aprendizagem de matemática no Ensino Médio, apresentando sugestões práticas de como utilizar os jogos para facilitar o desenvolvimento e o raciocínio lógico dos alunos com... more
The cry for sustainable development in any field of life cannot be achievable without best practices in that enclave. This study examines the relationship between examination mal-practices and student nurses' readiness to learn for... more
The notion of equivalence is a very important concept for students and should be developed from a young age. This article demonstrates how students can deepen their relational understanding of the equals sign by exploring inequalities... more
Mathematics is an important subject that guides most other matters and still has great relevance in each person's life. Still, its learning is often barred by students who judge it as complicated or tedious. If necessary, a reflection on... more
It seems that educational system in Nigeria has undergone only quantitative improvement in terms of number of schools and students’ enrolment. However, there has been little effort in respect to the capacity to manage them through... more
Los videojuegos son un medio básico de aprendizaje pues, además de aprovechar las propiedades didácticas de la lúdica, permiten involucrar al jugador de manera natural en situaciones que en la vida real no resultan significativas o... more
Arastirmanin amaci ortaokul 5.sinif Fen bilimleri dersi, Canlilar Dunyasini Gezelim ve Taniyalim unitesi icin gelistirilen klasik ve teknolojik destekli oyunlarin derslerde kullanimi sonrasi ogrencilerin oyunlar konusundaki goruslerini... more
First-year university students often lack an effective method of study and have little awareness of how to approach the preparation of a university exam in general and of a Calculus exam in particular. In this paper we present some... more
Non-digital games are frequently used to support primary mathematics instruction. Moreover, we know from the literature that to increase the likelihood that a chosen mathematical game is educationally rich it should reflect specific... more
In this paper we describe the contributions made by Margherita Piazzolla Beloch to the field of elementary geometric construction. In particular we examine her solution of the classical Greek problem of doubling the cube via paper... more
It is challenging and retrospective to find ICT Polytechnics lagging in the full application of automation in their administrations. This study investigated the effect of automation on manual administration of Ogun State Polytechnics, a... more
by James A Russo and 
1 more
Non-digital games are frequently used to support primary mathematics instruction. Moreover, we know from the literature that to increase the likelihood that a chosen mathematical game is educationally rich it should reflect specific... more
Teacher is a central factor in any educational system and the job confidence of any teacher goes a long way to boost educational benefits obtained by learners. Investigating into variables that are related to job-confidence to provide... more
This article specifically discusses the sculptured year-number-numeral on the inscriptions of Java in the ‘sengkala’ form. Sengkala is a javanese chronogram. The objective of this research is to expose the use of the early three sengkala... more
Games have been triggering researcher's interest to verify whether their practice brings benefits to the development of abilities. This interest emerges, probably, from the motivating characteristics of playing in general and from the... more
Bu çalışmada oyunların çocuk gelişiminde etkisini ve matematik dersinde oyunların kullanılmasının etkisini incelemek amacıyla yapılmıştır. Çalışmanın yöntemi nitel araştırma yöntemlerinden durum analizi desenidir. Bu araştırmada amaçlı... more
The study examined principals' emotional intelligence as well as integrity and their administrative effectiveness in public secondary schools in Akwa Ibom South (Eket), Senatorial District of Akwa Ibom State, Nigeria. Two research... more
The study examined principals' emotional intelligence as well as integrity and their administrative effectiveness in public secondary schools in Akwa Ibom South (Eket), Senatorial District of Akwa Ibom State, Nigeria. Two research... more
Introduction and training of “Fast Math Tricks” for elementary school students in GMIT Petra Kefamenanu congregation aims to develop students' thinking skills and interest in mathematics. This community service activity is carried out... more
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