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Keywords = mathematically gifted students

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20 pages, 312 KB  
Article
Comprehensive Talent Profile of Students in the United Arab Emirates: A Baseline Nationwide Giftedness Identification Study
by Ashraf Moustafa, Maxwell Peprah Opoku, Ahmed Morsy, Clinton Adjei Frimpong, Eleana Charalambous and Mariam AlGhawi
Educ. Sci. 2026, 16(5), 670; https://doi.org/10.3390/educsci16050670 - 22 Apr 2026
Viewed by 469
Abstract
Gifted education is gaining traction in many non-Western contexts, including the United Arab Emirates (UAE), which has developed many policies to develop giftedness. However, the identification of giftedness relies heavily on instruments developed in Western contexts, which have the potential to derail efforts [...] Read more.
Gifted education is gaining traction in many non-Western contexts, including the United Arab Emirates (UAE), which has developed many policies to develop giftedness. However, the identification of giftedness relies heavily on instruments developed in Western contexts, which have the potential to derail efforts toward promoting gifted education in the UAE. This study aimed to present data on 999 grade 4 to 12 students who completed the UAE’s national gifted identification test, known as the Hamdan Gifted test. Guided by the Cattell–Horn–Carroll theory, this study reports data on ability tests (verbal ability, nonverbal ability and preknowledge of mathematics and science) completed by students across the UAE between 2018 and 2023. The results revealed that 53% of the participants demonstrated superior ability in science, whereas 19% reported superior ability in mathematics. The percentage of students who demonstrated superior ability in other domains was as follows: verbal ability (52%; word crossing), verbal ability (14; true/false) and nonverbal ability (29%). The study concludes with recommendations for teacher development to enhance the teaching of mathematics to gifted students in schools in the UAE and beyond. Full article
22 pages, 1403 KB  
Article
Student Engagement in an Advanced Mathematics Program: A Case Study of Two Gifted English Learners
by Jenny Yang
Educ. Sci. 2026, 16(2), 213; https://doi.org/10.3390/educsci16020213 - 1 Feb 2026
Viewed by 823
Abstract
Underrepresentation of English Learners (ELs) and students with disabilities in advanced learning opportunities is a long-standing equity issue. However, increasing access alone does not guarantee authentic engagement. This case study examined how elementary-age gifted English learners in early elementary, including a student with [...] Read more.
Underrepresentation of English Learners (ELs) and students with disabilities in advanced learning opportunities is a long-standing equity issue. However, increasing access alone does not guarantee authentic engagement. This case study examined how elementary-age gifted English learners in early elementary, including a student with a speech and language impairment, engaged with an advanced elementary mathematics curriculum. Triangulated data were collected from 11 recorded lessons and transcripts, systematic observation coding, field notes, and a teacher interview. Situated within a larger quasi-experimental project but using an embedded instrumental case study design, the study drew on 11 video-recorded lessons, systematic direct observation (modified BOSS, 2624 coded intervals), field notes, and a post-program teacher interview. Descriptive analyses and logistic regression showed that student engagement was highly contingent on both instructional design and teacher facilitation. Whole-class instruction, often overly didactic, yielded passive or off-task behaviors, especially for the EL with disabilities. In contrast, structured small-group tasks and clearly assigned roles fostered greater participation and verbal engagement. Findings suggest that placement in advanced settings is necessary but insufficient; engagement must be continuously scaffolded through interactive formats, clear roles, and language-supportive routines so that ELs and ELs with disabilities can participate fully. Full article
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21 pages, 3258 KB  
Article
Developing Mathematical Creativity in High-Potential Kindergarten English Learners Through Enrichment and Tangram Activities
by Gülnur Özbek, Rachel U. Mun, Yuyang Shen, Weini Lin, Melissa Spence and Seokhee Cho
Educ. Sci. 2025, 15(12), 1581; https://doi.org/10.3390/educsci15121581 - 24 Nov 2025
Viewed by 1090
Abstract
Early mathematical learning predicts later academic achievement, and creativity within mathematics plays a central role in higher-order thinking. This study examined the effects of linguistically responsive mathematics enrichment programs for nurturing mathematical creativity. Participants were 250 high-potential kindergarten English Learners across six urban [...] Read more.
Early mathematical learning predicts later academic achievement, and creativity within mathematics plays a central role in higher-order thinking. This study examined the effects of linguistically responsive mathematics enrichment programs for nurturing mathematical creativity. Participants were 250 high-potential kindergarten English Learners across six urban schools in New York, Texas, and California. A linguistically responsive enrichment intervention adapted from the Mentoring Young Mathematicians (M2) math curriculum was implemented for 80 h across seven months. Using the Tangram Creativity Assessment, fluency, flexibility, and originality were measured in students’ tangram problem solving. Additional predictors included Tangram Problem Solving Speed (TPSS), general reasoning (CogAT), and mathematical achievement (NWEA MAP Math). ANCOVA showed significant post-test differences favoring the intervention group across all creativity components. Two-group structural equation modeling analysis supported measurement invariance and explained 55–60% of posttest creativity variance. TPSS emerged as the strongest predictor, with greater effects for the intervention group. These findings highlight the potential of enrichment programs and language-accessible geometry tasks to cultivate creativity in young gifted ELs by strengthening their mathematical foundation while supporting flexible and original problem solving. Full article
(This article belongs to the Special Issue Creativity and Education)
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25 pages, 1259 KB  
Article
Latent Profile Analysis of Computational Thinking Skills: Associations with Creative STEM Project Production
by Gülnur Özbek
Educ. Sci. 2025, 15(11), 1561; https://doi.org/10.3390/educsci15111561 - 19 Nov 2025
Cited by 1 | Viewed by 924
Abstract
This study examines the performances of gifted and talented high schoolers in transforming computational thinking skills and mathematical knowledge into creative STEM project production. A mixed-methods sequential explanatory research design involving 112 participants was employed. In the first quantitative phase, the Computational Thinking [...] Read more.
This study examines the performances of gifted and talented high schoolers in transforming computational thinking skills and mathematical knowledge into creative STEM project production. A mixed-methods sequential explanatory research design involving 112 participants was employed. In the first quantitative phase, the Computational Thinking Skills Scale was administered to assess problem-solving, creative thinking, algorithmic thinking, cooperative learning, and critical thinking skills. Latent profile analysis yielded three CTS profiles: high (29%), moderate (51%), and basic (20%). The qualitative phase used a case study to examine, latent profile participants’ project production experiences of computational thinking in problem-solving, cooperative learning, critical thinking, creative thinking, and algorithmic thinking, as well as the domain, outcomes, and dissemination of projects over 23 weekly sessions. The results indicated that while three latent profiles demonstrated comparable performances in problem-solving and cooperative learning, differences in creativity of project products and dissemination were associated with variations in algorithmic, critical, and creative thinking skills. Algorithmic and logical designs, mathematical models, prototypes, and patent applications produced by gifted high school students reflected the transformation of computational thinking skills into creative project productivity. Full article
(This article belongs to the Special Issue Creativity and 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
Cited by 2 | Viewed by 3318
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
Cited by 1 | Viewed by 2239
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 2 | Viewed by 3796
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 4 | Viewed by 4668
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 3 | Viewed by 3432
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 4 | Viewed by 4827
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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23 pages, 1201 KB  
Article
Top Achievers in Mathematics in the End of Upper Secondary School
by Laura Niemi, Jari Metsämuuronen, Markku S. Hannula and Anu Laine
Educ. Sci. 2023, 13(8), 775; https://doi.org/10.3390/educsci13080775 - 28 Jul 2023
Cited by 2 | Viewed by 3764
Abstract
Important questions regarding mathematical giftedness are how and when it is possible to identify. To be identified as gifted, the student must have natural potential but also an appropriate mix of motivation, support, and challenges. This study is based on longitudinal data following [...] Read more.
Important questions regarding mathematical giftedness are how and when it is possible to identify. To be identified as gifted, the student must have natural potential but also an appropriate mix of motivation, support, and challenges. This study is based on longitudinal data following students from 3rd grade in primary school to the end of upper secondary school between 2005 and 2015. We focus on top achievers (<2% of age cohort) of the national mathematics final exam at the end of upper secondary school. We investigate how accurately top achievers at the end of secondary school can be identified in 3rd, 6th, and 9th grades using national tests. We identify mathematical tasks that predict future top achievement and analyze how attitudes, gender, and parental background factors relate to high proficiency. Most top achievers had already been identified by 3rd grade and almost all of them by 9th grade. However, recognizing future top achievers was not very accurate, as they were indistinguishable from many students whose performance did not reach the same level over time. The best predictor for future top achievement was a student’s ability to solve non-routine and atypical tasks in early school years. Full article
(This article belongs to the Special Issue Identifying and Supporting Giftedness and Talent in Schools)
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23 pages, 1834 KB  
Article
Teachers’ Beliefs and Their Influence on Math Instructions for Gifted English Learners
by Jenny Yang, Gülnur Özbek and Seokhee Cho
Educ. Sci. 2023, 13(7), 728; https://doi.org/10.3390/educsci13070728 - 17 Jul 2023
Cited by 8 | Viewed by 4926
Abstract
The dynamic interplay between teachers’ beliefs and practices significantly impact the quality of instruction and the trajectory of talent development in young students. This case study explores the beliefs and practices of two elementary teachers instructing gifted ELs in mathematics. The constant comparison [...] Read more.
The dynamic interplay between teachers’ beliefs and practices significantly impact the quality of instruction and the trajectory of talent development in young students. This case study explores the beliefs and practices of two elementary teachers instructing gifted ELs in mathematics. The constant comparison method was used to analyze data collected from classroom observations, semi-structured interviews, and field notes. Three factors were found to affect the (in)consistency between teachers’ expressed beliefs and observed practices: compatibility among core and peripheral beliefs, knowledge about evidence-based practices, and classroom management skills. Students exhibit higher levels of participation, communication, and engagement in critical thinking skills when their teacher embraces constructive perspectives in teaching mathematics, demonstrates pedagogical expertise, and employs a proactive classroom management approach. Conversely, students encounter restricted opportunities to independently construct their own understanding of mathematics when their teacher holds maladaptive beliefs about teaching mathematics, has limited knowledge of evidence-based practices, and has an authoritarian classroom management style. These findings underscore the need for a new approach to professional development (PD) that encourages teachers to critically examine the connection between their beliefs and instructional practices and their impact on the student’s mathematical talent development. Full article
(This article belongs to the Special Issue Identifying and Supporting Giftedness and Talent in Schools)
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16 pages, 961 KB  
Article
Towards Equity: Exploring Gifted and High Achieving Students’ Lived Experiences with a Mathematical Enrichment Program Based on PISA
by Hanan Shaher Almarashdi, Ahmed H. Mohamed and Adeeb M. Jarrah
Sustainability 2023, 15(5), 4658; https://doi.org/10.3390/su15054658 - 6 Mar 2023
Cited by 7 | Viewed by 4284
Abstract
The purpose of this research was to study the effectiveness and usefulness of a Mathematics Enrichment Program (MEP) from students’ perspectives. The case study presented in this paper highlights the need for the MEP as a possible way to fulfill the needs of [...] Read more.
The purpose of this research was to study the effectiveness and usefulness of a Mathematics Enrichment Program (MEP) from students’ perspectives. The case study presented in this paper highlights the need for the MEP as a possible way to fulfill the needs of high-achieving and gifted students in mathematics in regular classrooms. This MEP was designed to improve students’ mathematical literacy in relation to their readiness for work after school and using mathematics in real life. The process for developing the MEP was described. The sample consisted of 51 grade 10 students from the advanced stream in two high schools in the UAE. Quantitative and qualitative data were collected through a survey designed specifically for this study to gain insight into students’ perceptions of their participation in the MEP experience. Students’ responses to the survey showed a significant impact of the enrichment program on them in many aspects. It is evident that this program helped the students see the importance of mathematics in their life. Although participants reported excitement and more understanding of their mathematics classroom, a few students complained about the of lack of time and difficulty with language and problem-solving skills. Full article
(This article belongs to the Collection Towards a Sustainable Future through Innovative STEM Education)
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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 10 | Viewed by 6953
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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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 5831
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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