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Keywords = gifted mathematics education

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19 pages, 895 KB  
Article
Academic and Socio-Emotional Experiences of a Twice-Exceptional Student
by Davut Açar and Muhammet Davut Gül
Behav. Sci. 2025, 15(10), 1349; https://doi.org/10.3390/bs15101349 - 2 Oct 2025
Abstract
Twice-exceptional students, who are both gifted and present with characteristics of neurodiversity such as Autism Spectrum Disorder (ASD), possess distinctive academic and socio-emotional needs that necessitate individualized educational strategies. This qualitative case study explores the academic and socio-emotional experiences of Murat, an eighth-grade [...] Read more.
Twice-exceptional students, who are both gifted and present with characteristics of neurodiversity such as Autism Spectrum Disorder (ASD), possess distinctive academic and socio-emotional needs that necessitate individualized educational strategies. This qualitative case study explores the academic and socio-emotional experiences of Murat, an eighth-grade learner identified as gifted and diagnosed with ASD, from the perspectives of the student himself, his mother, and his teachers. Data were collected through semi-structured interviews and analyzed using Braun and Clarke’s six-phase reflexive thematic analysis. The findings revealed that Murat achieved success in mathematics and science, particularly within enriched, strength-oriented environments that accommodated his sensory sensitivities. Despite challenges in social skills and group participation, he benefited considerably from teacher scaffolding and interactive pedagogies. His mother’s active engagement and strong family–school collaboration emerged as pivotal factors in his developmental progress. This study extends beyond individual challenges to highlight the potential strengths that arise from by the intersection of neurodiversity and giftedness. Additionally, it contributes to the limited body of literature exploring how the notion of twice-exceptionality manifests within underrepresented educational contexts. Future research could investigate diverse socio-cultural contexts and develop strategies to enhance teacher preparation and family engagement in supporting gifted learners with ASD. Full article
(This article belongs to the Section Educational Psychology)
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33 pages, 531 KB  
Article
Teacher Adaptability and Student Development in Online Teaching Environments: A Survey of Teachers of Chinese Mathematics Competitions for Gifted Students
by Tianqi Lin, Peijie Jiang and Bin Xiong
Behav. Sci. 2025, 15(5), 690; https://doi.org/10.3390/bs15050690 - 17 May 2025
Viewed by 651
Abstract
Despite advancements in information and technology, the benefits of online education for mathematically gifted students remain underexplored. In response, this study investigated the impacts of teacher competencies on students’ sustainable development in online mathematics competition education, examining the mediating role of teaching practice [...] Read more.
Despite advancements in information and technology, the benefits of online education for mathematically gifted students remain underexplored. In response, this study investigated the impacts of teacher competencies on students’ sustainable development in online mathematics competition education, examining the mediating role of teaching practice and the moderating role of teacher adaptability. Based on survey data from 289 Chinese mathematics competition teachers, the current research yielded the following findings: (1) Online teaching efficacy exerted a stronger positive influence on sustainable development compared with competition teaching professionalism, establishing the crucial role of technological competence in online education. (2) Teaching engagement and teaching practice significantly mediated the relationship between teacher competencies and sustainable development, with teaching engagement demonstrating stronger effects. (3) Teacher adaptability emerged as a significant moderator, empowering teaching practices and their effectiveness in promoting students’ sustainable development. These findings construct an integrated theoretical framework for understanding the translation of teacher competencies into student outcomes in online mathematics competition education, providing evidence-based guidance for enhancing teaching effectiveness in mathematics gifted education. Full article
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19 pages, 663 KB  
Article
Overexcitability and Perfectionism: A Comparative Study of Mathematically and Scientifically Talented, Verbally Talented, and Regular Students
by Chao-Chun Liao, Ching-Chih Kuo, Chin-Hsueh Chen and Chien-Chi Chu
Educ. Sci. 2025, 15(3), 392; https://doi.org/10.3390/educsci15030392 - 20 Mar 2025
Cited by 1 | Viewed by 1384
Abstract
High school students face critical psychological challenges during adolescence, including academic pressures and educational decision-making. Dabrowski’s Theory of Positive Disintegration provides a framework for understanding growth through disintegration and reintegration, with perfectionistic traits acting as intrinsic motivators for self-improvement. This study examined the [...] Read more.
High school students face critical psychological challenges during adolescence, including academic pressures and educational decision-making. Dabrowski’s Theory of Positive Disintegration provides a framework for understanding growth through disintegration and reintegration, with perfectionistic traits acting as intrinsic motivators for self-improvement. This study examined the psychological profiles of 641 Taiwanese high school students: 207 mathematically and scientifically talented students (MSTS), 187 verbally talented students (VTS), and 247 regular students (RS). Using the ME III, refined from the ME II, and the Multidimensional Perfectionism Scale, our research assessed overexcitabilities (OEs) and perfectionism traits. MSTS and VTS scored significantly higher in Intellectual and Imaginational OEs than RS, with VTS also overperforming in sensual OE. MSTS and VTS showed higher personal standards, while VTS excelled in organization, and RS reported higher parental criticism. Emotional OE correlated with perfectionism, such as concern over mistakes, doubts about actions, and parental criticism, while Intellectual OE positively correlated with personal standards and negatively with parental criticism. Intellectual and Emotional OEs jointly predicted personal standards and organization; while Sensual, Intellectual, and Emotional OEs predicted doubts about actions, etc. These findings underscore the importance of tailored educational and counseling strategies to address the unique needs of gifted students, fostering environments that enhance their abilities and overall well-being. Full article
(This article belongs to the Special Issue Teaching and Learning for Gifted and Advanced Learners)
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24 pages, 961 KB  
Article
The Impact of Online Education on Gifted Mathematics Students from Different Family Backgrounds
by Guangyu Xu, Peijie Jiang and Bin Xiong
Sustainability 2024, 16(19), 8444; https://doi.org/10.3390/su16198444 - 27 Sep 2024
Cited by 2 | Viewed by 3133
Abstract
Goal 4 of the United Nations Sustainable Development Goals emphasizes ensuring inclusive and equitable quality education to achieve sustainability. It is well known that gifted mathematics education is crucial, but teachers for gifted mathematics education are extremely scarce. The promotion of sustainability in [...] Read more.
Goal 4 of the United Nations Sustainable Development Goals emphasizes ensuring inclusive and equitable quality education to achieve sustainability. It is well known that gifted mathematics education is crucial, but teachers for gifted mathematics education are extremely scarce. The promotion of sustainability in gifted mathematics education on a large scale is an important issue to ensure equity and quality in education. Mathematical competitions have always been an important method for gifted education and have received widespread attention from students and parents. Many high school students prepare for these competitions through extracurricular gifted mathematics tutoring. With the advancement of science and technology and the outbreak of the COVID-19 pandemic in 2020, many tutoring courses have gradually turned to online courses. Online gifted mathematics education has become a model for developing gifted education. In this study, we conducted an in-depth analysis of the learning patterns, grades, and family backgrounds of students participating in mathematics competitions in 10 key high schools in Liaoning Province from 2018 to 2024. The research results are as follows: (1) Before the COVID-19 pandemic, extracurricular gifted mathematics education primarily consisted of offline courses. During the COVID-19 pandemic, online learning resources developed rapidly and became prevalent, while offline education decreased. (2) Students from high-income families preferred offline courses when participating in extracurricular gifted education tutoring for mathematics. In contrast, students from middle- and low-income families were more inclined to choose online courses. Household registration and the place of residence had a weak correlation with the time spent participating in online gifted mathematics education. Among the influencing factors, material resources such as computers, smartphones, and broadband internet had a significant mediating effect. (3) With the advent of online education, the correlation between mathematics competition achievements and family income significantly decreased. However, students from rural families face challenges in accessing online education due to a lack of material resources consequent to the COVID-19 pandemic, resulting in lower mathematics competition achievements. The results show that online gifted education in mathematics breaks through the limitations of time, space, and resources; solves the problem of scarce teaching staff; and helps promote a comprehensive strategy for sustainable development in gifted education. At the same time, issues such as the digital divide, insufficient hardware, and limited internet access still need to be addressed. Full article
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15 pages, 5164 KB  
Article
Gifted Students’ Actualization of a Rich Task’s Mathematical Potential When Working in Small Groups
by Anita Movik Simensen and Mirjam Harkestad Olsen
Educ. Sci. 2024, 14(2), 151; https://doi.org/10.3390/educsci14020151 - 31 Jan 2024
Cited by 2 | Viewed by 2268
Abstract
This article examines gifted students’ (ages 13–16) groupwork on a rich task in mathematics. This study was conducted in Norway, which has an inclusive education system that does not allow fixed-ability grouping. The purpose of this study was to better understand how to [...] Read more.
This article examines gifted students’ (ages 13–16) groupwork on a rich task in mathematics. This study was conducted in Norway, which has an inclusive education system that does not allow fixed-ability grouping. The purpose of this study was to better understand how to cultivate mathematical learning opportunities for gifted learners in inclusive education systems. The analysis was conducted from a multimodal perspective, in which students’ coordination of speech, gestures, and artifact use was viewed as part of their learning process. The findings contribute to discussions on gifted students as a heterogeneous group. Moreover, our analysis illustrates how giftedness can be invisible, leading to unrealized potential and low achievement. We suggest that more attention be paid to teaching by adapting to gifted students’ individual needs, particularly if the intention is to provide high-quality learning opportunities for gifted students in inclusive settings. Full article
(This article belongs to the Special Issue Teaching and Learning for Gifted and Advanced Learners)
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17 pages, 604 KB  
Article
Assessment and Gifted Discourse in Swedish Early Years Education Steering Documents: The Problem of (In)Visibility
by Valerie Margrain and Jorryt van Bommel
Educ. Sci. 2023, 13(9), 904; https://doi.org/10.3390/educsci13090904 - 7 Sep 2023
Cited by 3 | Viewed by 3402
Abstract
This study explores how assessment is presented in Swedish early years’ steering documents and considers risks for young gifted students in relation to assessment (or lack thereof). Document analysis was undertaken on, firstly, Swedish curriculum documents for the preschool and for the compulsory [...] Read more.
This study explores how assessment is presented in Swedish early years’ steering documents and considers risks for young gifted students in relation to assessment (or lack thereof). Document analysis was undertaken on, firstly, Swedish curriculum documents for the preschool and for the compulsory school, and secondly, mapping materials used in the preschool class with six-year-old children. Results show that assessment is not a term used in Swedish early years curricula. Instead, preschool teachers are asked to evaluate their own practice; preschool class teachers are asked to engage with mapping and only to consider working toward later assessment goals in year 3 of school. A plethora of alternative assessment terms are used in the curriculum without definition. Giftedness is also invisible in the curriculum. However, the mapping materials used with six-year-old students in the subject areas of mathematics and Swedish do encourage teachers to consider children who achieve mastery early. Further, these materials provide supportive questions and activities for teachers to use in exploring further. The specific examples of assessment discourses and the need to consider gifted children are combined in this article to highlight aspects of teacher work that are important for the educational rights of an often-forgotten group of learners. Full article
(This article belongs to the Special Issue Identifying and Supporting Giftedness and Talent in Schools)
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20 pages, 2775 KB  
Article
Development and Evaluation of a Pioneer School-Based Gifted Education Program (Project GIFT) for Primary and Secondary Students in Hong Kong
by Daniel Tan Lei Shek, Alan Chi Keung Cheung, Anna Na Na Hui, Kim Hung Leung and Ruby Shui Ha Cheung
Int. J. Environ. Res. Public Health 2022, 19(8), 4832; https://doi.org/10.3390/ijerph19084832 - 15 Apr 2022
Cited by 5 | Viewed by 5699
Abstract
In this study, we used a quasi-experimental research design with pretest and post-test data collected from an experimental group and a control group to investigate changes in students after participating in a school-based gifted education program (Project GIFT) in Hong Kong. There were [...] Read more.
In this study, we used a quasi-experimental research design with pretest and post-test data collected from an experimental group and a control group to investigate changes in students after participating in a school-based gifted education program (Project GIFT) in Hong Kong. There were 3207 successfully matched students (3rd to 9th graders) joining the Level 1 program (for all students) alone or both the Level 1 program and Level 2 program (for gifted students). Participants of the experimental and control groups completed validated measures on creativity, multiple intelligences, gifted characteristics, self-efficacy, psychological well-being, and satisfaction with life before and after participating in the program(s). One-way ANCOVA results revealed that students in the experimental groups showed positive changes after joining the program(s), with a greater impact for students joining both Level 1 and Level 2 programs. Students participating in both Level 1 and Level 2 programs displayed significant improvement in creativity, academic performance, logical–mathematical intelligence, intrapersonal intelligence, self-efficacy, autonomy, environmental mastery, and personal growth compared to the control counterparts. This study illustrates the benefits of the Level 1 and Level 2 programs in promoting the holistic development of the program participants. Full article
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11 pages, 233 KB  
Article
Organic Creativity for 21st Century Skills
by Jane Piirto
Educ. Sci. 2021, 11(11), 680; https://doi.org/10.3390/educsci11110680 - 25 Oct 2021
Cited by 8 | Viewed by 3207
Abstract
This article contains 15 “takeaways” about how to teach organic creativity, from actual teachers with several hundred total years of experience. Teachers of English, physics, Advanced Placement Calculus, science, theater, the visual arts, dance, school administration, school counseling, educational psychology professing, world languages, [...] Read more.
This article contains 15 “takeaways” about how to teach organic creativity, from actual teachers with several hundred total years of experience. Teachers of English, physics, Advanced Placement Calculus, science, theater, the visual arts, dance, school administration, school counseling, educational psychology professing, world languages, mathematics, the education of the gifted and talented, social studies, music, and elementary education describe their strategies for teaching for intuition, imagination, insight, imagery, risk-taking, openness to experience, feeding back, improvisation, and other aspects of creativity that arise from the subject matter. Full article
(This article belongs to the Special Issue Gifted Education, Creativity and Leadership Development)
15 pages, 10412 KB  
Article
Graph Theory for Primary School Students with High Skills in Mathematics
by Rocío Blanco and Melody García-Moya
Mathematics 2021, 9(13), 1567; https://doi.org/10.3390/math9131567 - 3 Jul 2021
Cited by 6 | Viewed by 4686
Abstract
Graph theory is a powerful representation and problem-solving tool, but it is not included in present curriculum at school levels. In this study we perform a didactic proposal based in graph theory, to provide students useful and motivational tools for problem solving. The [...] Read more.
Graph theory is a powerful representation and problem-solving tool, but it is not included in present curriculum at school levels. In this study we perform a didactic proposal based in graph theory, to provide students useful and motivational tools for problem solving. The participants, who were highly skilled in mathematics, worked on map coloring, Eulerian cycles, star polygons and other related topics. The program included six sessions in a workshop format and four creative sessions where participants invented their own mathematical challenges. Throughout the experience they applied a wide range of strategies to solve problems, such as look for a pattern, counting strategies or draw the associated graph, among others. In addition, they created as challenges the same type of problems posed in workshops. We conclude that graph theory successfully increases motivation of participants towards mathematics and allows the appearance and enforcement of problem-solving strategies. Full article
(This article belongs to the Special Issue Research on Powerful Ideas for Enriching School Mathematical Learning)
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12 pages, 351 KB  
Article
Improving Gifted Talent Development Can Help Solve Multiple Consequential Real-World Problems
by Jonathan Wai and Benjamin J. Lovett
J. Intell. 2021, 9(2), 31; https://doi.org/10.3390/jintelligence9020031 - 13 Jun 2021
Cited by 14 | Viewed by 6438
Abstract
Fully developing the talents of all students is a fundamental goal for personal well-being and development and ultimately for global societal innovation and flourishing. However, in this paper we focus on what we believe is an often neglected and underdeveloped population, that of [...] Read more.
Fully developing the talents of all students is a fundamental goal for personal well-being and development and ultimately for global societal innovation and flourishing. However, in this paper we focus on what we believe is an often neglected and underdeveloped population, that of the gifted. We draw from the cognitive aptitude and gifted education research literatures to make the case that solutions to consequential real-world problems can be greatly enhanced by more fully developing the talents of the intellectually gifted population, which we operationalize in this paper as roughly the top 5% of cognitive talent. Should well-supported high achievers choose to solve them, these problems span health, science, economic growth, and areas unforeseen. We draw from longitudinal research on intellectually precocious students and retrospective research on leaders and innovators in society, showing that mathematical, verbal, and spatial aptitudes are linked to societal innovation. We then discuss two remaining fundamental challenges: the identification of disadvantaged and marginalized groups of students who have traditionally been neglected in selection for gifted programming suited to their current developmental needs, and the building of skills beyond academic ones, specifically in the related areas of open-minded thinking and intellectual humility. Full article
(This article belongs to the Special Issue How Intelligence Can Be a Solution to Consequential World Problems)
30 pages, 4804 KB  
Article
Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book
by Angel Gutiérrez, Adela Jaime and Pablo Gutiérrez
Mathematics 2021, 9(8), 832; https://doi.org/10.3390/math9080832 - 11 Apr 2021
Cited by 5 | Viewed by 3803
Abstract
In mathematics education, technology offers many opportunities to enrich curricular contents. Plane symmetries is a topic often skipped by primary teachers. However, it is important and may be worked in attractive ways in dynamic geometry software environments. In any regular classroom there are [...] Read more.
In mathematics education, technology offers many opportunities to enrich curricular contents. Plane symmetries is a topic often skipped by primary teachers. However, it is important and may be worked in attractive ways in dynamic geometry software environments. In any regular classroom there are students with different levels of mathematical attainment, some needing easy tasks while others, particularly mathematically-gifted students, need challenging problems. We present a teaching unit for plane symmetries, adequate for upper primary school grades, implemented in a fully interactive electronic book, with most activities solved in GeoGebra apps. The book allows student to choose which itinerary to follow and attention is paid to different levels of students’ mathematical attainment. The research objective of the paper is to make a networked analysis of the structure and contents of the teaching unit based on the Van Hiele levels of mathematical reasoning and the levels of cognitive demand in mathematical problem solving. The analysis shows the interest of networking both theories, the suitability of the teaching unit, as the Van Hiele levels and the cognitive demand of the activities increases, and its usefulness to fit the needs of each student, from low attainers to mathematically-gifted students. Full article
(This article belongs to the Special Issue New Insights into Geometrical Transformations)
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17 pages, 641 KB  
Article
Networking Theories on Giftedness—What We Can Learn from Synthesizing Renzulli’s Domain General and Krutetskii’s Mathematics-Specific Theory
by Maike Schindler and Benjamin Rott
Educ. Sci. 2017, 7(1), 6; https://doi.org/10.3390/educsci7010006 - 29 Dec 2016
Cited by 5 | Viewed by 8833
Abstract
Giftedness is an increasingly important research topic in educational sciences and mathematics education in particular. In this paper, we contribute to further theorizing mathematical giftedness through illustrating how networking processes can be conducted and illustrating their potential benefits. The paper focuses on two [...] Read more.
Giftedness is an increasingly important research topic in educational sciences and mathematics education in particular. In this paper, we contribute to further theorizing mathematical giftedness through illustrating how networking processes can be conducted and illustrating their potential benefits. The paper focuses on two theories: Renzulli’s domain-general theory on giftedness as an interplay of creativity, above-average ability, and task commitment; and Krutetskii’s mathematics-specific theory on gifted students’ abilities. In a “proof of concept”, we illustrate how the abilities offered in Krutetskii’s theory can be mapped to the three traits described by Renzulli. This is realized through a mapping process in which two raters independently mapped the abilities offered by Krutetskii to Renzulli’s traits. The results of this mapping give first insights into (a) possible mappings of Krutetskii’s abilities to Renzulli’s traits and, thus, (b) a possible domain-specific specification of Renzulli’s theory. This mapping hints at interesting potential phenomena: in Krutetskii’s theory, above-average ability appears to be the trait that predominantly is addressed, whereas creativity and especially task-commitment seem less represented. Our mapping demonstrates what a mathematics-specific specification of Renzulli’s theory can look like. Finally, we elaborate on the consequences of our findings, restrictions of our methodology, and on possible future research. Full article
(This article belongs to the Special Issue Advances in Gifted and Talented and Creativity Research)
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