GeoGebra in Mathematics Education: Bridging Theory and Practice for Sustainable Digital Learning

Introduction

The innovations brought about by the digital age have led to profound transformations in education systems, with mathematics instruction being one of the fields most affected by this shift (Hoyles & Noss, 2015). The integration of Information and Communication Technologies (ICT) into education has not only supported students’ learning processes but has also transformed teachers’ pedagogical approaches, enabling the development of more interactive and dynamic learning environments (Drijvers, 2019). In this context, mathematical digital competence (MDC) has emerged as a key concept that fosters students’ mathematical thinking processes and their ability to use digital tools effectively (Geraniou & Jankvist, 2019). Mathematical digital competence requires not only the acquisition of fundamental mathematical concepts but also a deep understanding of these concepts and their application in problem-solving processes through digital tools (Niss & Højgaard, 2011). Consequently, the role of dynamic mathematics software in education has become increasingly critical. Interactive mathematics software such as GeoGebra enables students to explore mathematical relationships, understand abstract concepts through visualization, and actively engage in problem-solving processes (Arzarello et al., 2012).

Developed in 2001 by Markus Hohenwarter (Hohenwarter & Jones, 2007) the dynamic mathematics software GeoGebra is now used by millions of students and teachers worldwide. Recent studies have demonstrated that GeoGebra enhances students’ problem-solving skills, supports deeper understanding of mathematical concepts, and allows teachers to present instructional content in a more interactive manner (Clements & Sarama, 2011; Leung & Bolite-Frant, 2015). However, a substantial proportion of the research in this field is based either on single case studies or on experimental designs with limited scope. This situation makes it difficult to examine the pedagogical role of GeoGebra in a multidimensional and integrative manner.

For this reason, there is a need for integrative research that is not confined to a single methodological approach but instead combines thematic structures derived from systematic literature syntheses with field-based qualitative data collection processes. Such an approach allows for an in-depth examination of how thematically identified patterns in literature gain meaning across different educational contexts and facilitates a more comprehensive understanding of the pedagogical role of GeoGebra in mathematics instruction. In line with this need, the present study adopts a two-phase, sequential exploratory qualitative design. In the first phase, qualitative studies published after 2015 were systematically examined through a meta-thematic analysis to identify the core thematic structures related to the use of GeoGebra in mathematics education. In the second phase, in order to explore how these thematic structures are reflected in classroom practice, students’ perspectives on their learning experiences were collected through semi-structured interviews following an 18 hr GeoGebra-supported instructional intervention conducted in a high school in southeastern Türkiye.

This integrative approach enables the themes derived from the literature and the student experiences emerging from instructional implementation to be interpreted jointly and relationally, thereby offering a contextualized and in-depth understanding of how GeoGebra is experienced in mathematics instruction and how it is pedagogically positioned. Accordingly, the main research question of the study is formulated as follows:

When the themes identified through meta-thematic analysis and the student experiences obtained from classroom implementation are considered together, how can the pedagogical role of GeoGebra in mathematics instruction be understood?

In addition to this overarching question, the following sub-questions are addressed:

Within this framework, the study aims to contribute to the understanding of GeoGebra not merely as a technical tool, but as a pedagogical component closely related to students’ conceptual meaning-making, engagement in the learning process, and the ways in which learning experiences are structured.

Theoretical Background

Digital transformation in education is fundamentally redefining teaching and learning processes, particularly in mathematics instruction. Traditional instructional environments are increasingly being replaced by digital, interactive, and student-centered structures, necessitating the reconfiguration of teacher roles, learning experiences, and pedagogical decision-making (Drijvers, 2019; Hoyles & Noss, 2015). This transformation represents not merely the integration of technology, but a pedagogical paradigm shift that requires the redesign of access to knowledge, learner autonomy, and assessment practices (Morgan-Thomas et al., 2020). The theoretical framework of the present study is constructed around two core dimensions of this transformation: (i) the digitalization of mathematics learning environments, and (ii) the pedagogical role of GeoGebra software as a prominent tool within this digitalization process.

Method

This study was designed as an exploratory qualitative investigation aimed at examining how GeoGebra, as a dynamic mathematics software, is used within teaching and learning processes in an authentic educational context and how it gains meaning within these processes. Exploratory research seeks not to test the effectiveness of a phenomenon, but rather to reveal how that phenomenon is constructed within a given context, how it is experienced, and how it operates in practice (Babbie, 2020).

In this respect, the study focuses on understanding the processes related to the pedagogical use of GeoGebra and the experiences of participants from a qualitative perspective. The research process consists of two complementary phases: the first phase involves a literature-based meta-thematic analysis, while the second phase entails an exploratory qualitative case study that examines how the thematic structure derived from this analysis is reflected within a real educational setting.

Meta-Thematic Analysis Process

Meta-thematic analysis is a qualitative synthesis process grounded in document analysis, in which findings derived from qualitative studies are integrated through themes and codes (Batdı, 2024). This approach aims to systematically examine qualitative research focusing on a particular topic and to identify shared thematic patterns across studies. In the present study, meta-thematic analysis was employed to reveal how GeoGebra is addressed in the literature within the context of mathematics education, the pedagogical purposes for which it is used, and the ways in which it is associated with teaching and learning processes. Accordingly, studies that examined the use of GeoGebra from a qualitative perspective were searched and analyzed in academic databases based on predefined criteria. Topic-specific keywords were used to identify relevant studies, and the research included in the analysis was selected in accordance with criteria related to methodological rigor and content relevance. The databases searched and the inclusion criteria applied in the study are presented in Table 1.

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Table 1.

Databases Searched in the Study and the Criteria Established for the Inclusion of Studies in the Research.

Databases	– WOS – Scopus – Springer – ERIC – Google Scholar
Keywords used	– GeoGebra and Mathematics Education – GeoGebra and Student Achievement – GeoGebra and Conceptual Understanding – Quantitative Research and GeoGebra
Criteria	– Published after 2015 – Related to mathematics education – Employing qualitative research methods to examine relationships – Investigating the effects of GeoGebra on student achievement, conceptual learning, or attitudes

In line with the identified databases and inclusion criteria, the studies retrieved were systematically reviewed and subjected to an inclusion or exclusion process based on their eligibility. To ensure transparency in this process, the stages of study inclusion and exclusion were visualized using a PRISMA flow diagram (Figure 1).

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Figure 1.

PRISMA flow diagram.

Implementation Process

The implementation process was conducted during the first semester of the 2024 to 2025 academic year. In line with the aims and scope of the study, the study group consisted of 30 ninth-grade students enrolled in a high school located in southeastern Türkiye. Participants were selected based on existing classroom structures, and no random assignment was employed. In this respect, the implementation was structured as an exploratory qualitative application process carried out in an authentic classroom setting. Within the scope of the implementation, learning outcomes related to the theme “Quantities and Change” in the secondary school mathematics curriculum were addressed, and GeoGebra-supported lessons were implemented to facilitate the concretization of abstract mathematical concepts. The implementation lasted for a total of 3 weeks, during which students participated in a structured instructional program totaling 18 hr.

The lesson plan was designed to include activities focused on concept exploration, dynamic visualization, and problem solving, and relevant digital materials were prepared prior to each lesson. The instructional process was monitored by the researcher to ensure that the implementation progressed in accordance with the planned structure. At the end of the implementation, semi-structured interviews were conducted in order to examine students’ experiences with GeoGebra-supported instruction in depth. The interview protocol was designed to elicit students’ experiences with using GeoGebra, their perceptions of the learning process, their experiences related to conceptual understanding, and their evaluations of the instructional process. As emphasized by Merriam and Tisdell (2016), semi-structured interviews enhance the depth of qualitative data by allowing participants to express their experiences in a flexible and meaningful manner.

In this study, no quantitative measurement instruments (such as pre-tests, post-tests, or achievement tests) were used; instead, the data collection process was based on students’ post-implementation perspectives. This approach made it possible to examine how GeoGebra-supported instruction was experienced and interpreted by students from a qualitative perspective, and provided a basis for the integrative interpretation of the themes derived from the meta-thematic analysis and the student experiences emerging from the field implementation. The implementation process was carefully planned, and each stage was monitored by the researcher to ensure the integrity of the application. The weekly implementation plan, the topics covered, and the distribution of the related learning outcomes are presented in Table 2.

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Table 2.

Implementation Process.

Learning outcomes	Week
MAT.9.2.1. Mathematical reasoning aimed at examining the qualitative properties of the linear base function defined on the real numbers as f(x) = x and the linear functions derived from this function in the form g(x) = a · f(x ± r) ± k (where a, r, k ∈ℝ and a ≠ 0).	Week 1: Within the scope of learning outcome 9.2.1, linear relationships between two quantities in everyday life were addressed; the concepts of direct proportion, inverse proportion, and dependent and independent variables were explained. During the instructional process, emphasis was placed on the definition of linear functions, their domains and ranges, slopes, zeros, whether they are increasing or decreasing, their maximum and minimum values, whether they are one-to-one, and sign analyzes. In addition, the definitions of constant and identity functions were provided, graphs were constructed, and the common points of multiple function graphs were examined through comparison. Students reinforced their understanding of the topic by constructing these graphs using the GeoGebra application.
MAT.9.2.2. Using analogical reasoning to examine the qualitative properties of absolute value functions defined on the set of real numbers in the form f(x) = ±|ax ± b| ± c biçimindeki (a, b, c ∈ℝ ve a ≠ 0	Week 2: Within the scope of learning outcome 9.2.2, the concept of absolute value and the properties of absolute value and piecewise functions were addressed in detail. In this context, the domains and ranges of the functions, their zeros, whether they are one-to-one, their maximum and minimum values, intervals of increase and decrease, sign analyzes, and graphing were examined. In addition, positive and negative translations of functions with respect to the x- and y-axes and their relationships with piecewise functions were emphasized. Students deepened and reinforced their understanding of these concepts by graphing the functions using GeoGebra. Necessary measures were taken to ensure that students could use the application effectively.
MAT.9.2.3. Solving problems involving equations and inequalities expressed with linear functions.	Week 3: Within the scope of learning outcome 9.2.3, linear functions, absolute value functions, and simple inequalities were visualized in a single coordinate system using GeoGebra. The graphs of multiple functions were constructed, and their common intersection points and the relationships among them were examined in detail. Students reinforced their understanding of the topic by interacting with GeoGebra to produce these representations.
	Week 4: To assess the impact of the GeoGebra application on the process components covered, a semi-structured interview form (Appendix 1) was administered. The interview form consisted of a total of six questions.

Teacher Profile and Classroom Context

The teacher who conducted the instructional implementation in this study is a high school mathematics teacher with 10 years of professional experience. The teacher holds a master’s degree in Curriculum and Instruction and possesses in-depth knowledge of curriculum development, instructional design, and assessment and evaluation. This academic background contributed to the teacher’s ability to make theoretically grounded decisions when structuring lesson plans and to ensure pedagogical alignment throughout the implementation process. In addition, the teacher has participated in various in-service training programs on the use of dynamic mathematics software, particularly GeoGebra, and has developed experience in integrating these tools into instructional practices. This professional expertise enabled the GeoGebra-supported instructional process implemented in the study to be carried out in a planned, systematic, and pedagogically coherent manner.

The lessons were conducted in a classroom equipped with an interactive whiteboard and internet access. Under the teacher’s guidance, students engaged in both individual and group work. This setting provided a conducive environment for observing the effects of the implementation and for analyzing students’ conceptual learning processes within dynamic mathematics environments.

Data Coding and Analysis

The excerpts included in the reviewed studies were coded by taking into account the type of study (thesis or article), the source of the excerpt (teacher, student, or pre-service teacher), and the page number on which the excerpt appeared. These codes were used in the presentation of the findings. In cases where the original study did not assign sequential identifiers to participant code was marked with “**” to indicate that no participant number was avaiable in the source. This notation is also reflected in the presentation of the findings. Table 3 presents examples of the codes assigned to the studies examined in the meta-thematic analysis process, along with the corresponding descriptive information for each code.

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Table 3.

Coding Framework of the Studies Examined in the Meta-Thematic Analysis Process.

Name	Study ID	Page	Participants	Codes
Article	1	23	PST15	A1/23–PST15
Thesis	2	12	MT7	T2/12–MT7

Note.“**” denotes excerpts from studies in which participants were not assigned sequential identifiers in the oriignal source; consequently, participant numbers could not be included in the coding.

In this study, the collected research was examined in detail using document analysis, and the coding process was conducted with the support of MAXQDA software. The coding procedure followed the stages of open coding, axial coding, and selective coding (Strauss & Corbin, 1998). These stages enabled the systematic categorization and analysis of the data. Participant perspectives (raw data) extracted from the reviewed studies were examined repeatedly, and new themes and codes were generated accordingly. Throughout this process, the consistency and reliability of the coding were considered critical factors in enhancing the rigor of the analysis (Mayring, 2000). The themes and codes identified during the meta-thematic analysis were examined and interpreted in depth within the context of the participant perspectives analyzed in the studies (Batdı, 2021, p. 92).

Analyzes conducted independently by two researchers were compared, and Cohen’s Kappa reliability coefficient was calculated to determine inter-coder agreement (Cohen, 1960). The inter-coder agreement value was calculated as 0.92, indicating a high level of agreement. This result was recorded as an important finding supporting the reliability of the study. The coding process was carried out collaboratively by the researcher and an academic expert in the field. The studies were analyzed independently, the resulting themes and codes were compared, and any discrepancies that emerged were resolved through academic discussion. Following the resolution of these differences, the coding process was finalized, thereby strengthening the reliability of the research.

Results

In this study, a meta-thematic analysis was conducted on the research studies identified in the literature. Through this type of analysis, it was aimed to analyze data obtained from qualitative studies in order to generate detailed and comprehensive findings. The themes and codes derived from the analyses were presented in the form of models. These models address four dimensions of GeoGebra: its effects on academic achievement, its impact on the learning process, its influence on attitudes toward the course, and its limitations.

Figure 2 presents the codes expressed with respect to the contributions of GeoGebra applications to achievement in mathematics courses. The codes grouped under this theme represent aspects of GeoGebra that directly contribute to academic achievement. Some participant statements referencing the codes within this theme are as follows:

“At first, I couldn’t understand what the teacher explained. But I immediately understood what was on the computer. I understood the computer part the most. I drew it myself, which made it easier to understand. The computer makes learning easier.” T_3/65– S**

“Previously, what I knew was based on memorization. But with these kinds of applications, I draw, see, and try by myself. That’s why it’s better.” A_3/9– S**

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Figure 2.

The effect of GeoGebra on math course success.

In conclusion, students indicated that GeoGebra accelerates the learning process, facilitates learning, helps them better understand of concepts, and positively affects exam performance. These findings indicate that GeoGebra makes significant contributions to enhancing students’ academic achievement.

Figure 3 presents the codes related to the aspects of GeoGebra applications that enhance learning processes. The codes grouped under this theme demonstrate that GeoGebra supports the learning process by facilitating the understanding of mathematical concepts. Some participant statements referring to the codes within this theme are as follows:

“It became easier to visualize mathematical concepts in my mind.” A_3/8– S**

“I think that using GeoGebra software in mathematics instruction would be beneficial for teachers. When I reach a level where I can teach using this software, I believe I will not struggle to explain many topics that students find difficult.” A_2/16– PST₈

“…For example, when I saw the limit theoretically, I couldn’t understand what it was. But when I built it with GeoGebra, I easily saw the relationship between them.” A_2/18– PST₂₅

“Sometimes I worry that I won’t be able to explain a topic or meet students’ expectations in mathematics teaching. When mathematical expressions are very abstract, hard to understand, or meaningless, I believe I can express them better with GeoGebra. GeoGebra can be more effective in mathematics teaching because it visualizes and concretizes the concepts.” A_2/15– PST₁₈

“The best aspect is that it is dynamic. This is a great advantage because you can see movement there. You can move the point, move the graph. You can move everything you draw. You don’t have that opportunity on the board. Sometimes you can’t even draw properly. You can’t fully show what you want to show. I think this can be helpful.” T_4/71– TE₁

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Figure 3.

The effect of GeoGebra on learning process.

In conclusion, the statements under this theme reveal that GeoGebra applications are a powerful learning and teaching tool for both students and teachers, particularly by facilitating the concretization, visualization, and understanding of mathematical concepts through its dynamic features.

Figure 4 presents the codes related to the aspects of GeoGebra that influence student motivation and attitudes toward mathematics lessons. The codes under this theme indicate positive changes in students’ attitudes toward mathematics and increases in their motivation. Increased interest in the lesson, reduced mathematics anxiety, and the encouragement of active participation were observed. It was also reported that GeoGebra enhances not only students’ interest but also pre-service teachers’ engagement with the subject and contributes to the development of teaching-related self-confidence.

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Figure 4.

The effect of GeoGebra on attitudes toward the course.

Participants emphasized that GeoGebra offers greater opportunities for interaction and practice during lessons, thereby making the learning process more meaningful. In addition, the ability to conduct individual explorations and examine concepts independently made learning more appealing for students.

Both students and pre-service teachers stated that mathematics lessons became more engaging, meaningful, and aligned with their interests through the use of GeoGebra. They noted that the use of digital tools made mathematics learning more enjoyable and helped them follow lessons more attentively. Some participant statements referring to the codes within this theme are as follows:

“After learning to use GeoGebra in mathematics teaching, my confidence increased. As I develop myself in this software, I believe I will become a more effective teacher and succeed in teaching mathematics.” A_2/14– PST₁

“Instead of lessons constantly taught on the board with a pen, being able to do it practically ourselves helped my development.” A_3/9– S**

“GeoGebra impressed me a lot because I saw theorems I didn’t know before, and now I want to teach them using GeoGebra… because my confidence increased, I overcame my fear, and now nothing can stop me.” A_2/15– PST₆

In conclusion, the statements under this theme indicate that GeoGebra positively affects students’ and pre-service teachers’ attitudes toward lessons, enhances their motivation, supports confidence development, and provides a more interactive, meaningful, and enjoyable learning environment for mathematics teaching.

Figure 5 presents the limitations of GeoGebra applications as expressed by the participants. Although GeoGebra has many strengths that support the learning process, several limitations were also reported by students, pre-service teachers, and teacher educators. These limitations were categorized into technical, pedagogical, and individual dimensions.

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Figure 5.

Limitations of GeoGebra.

From a technical perspective, the main limitations include the software’s inability to support certain mathematical formulas and symbols, the complexity of its structure making it difficult learn and users lack of full mastery of its features. A teacher educator emphasized that effective use of the software requires understanding both the tool itself and the underlying mathematical concepts, and that a deficiency in either can hinder learning:

“Students need to be taught this program well. They need to understand both the tool and the software and make an effort to learn. If they don’t know the concepts, they also need to learn those. When two things that are hard to understand overlap, it leads to a deadlock.” T_4/78– Te1

In the pedagogical context, some students reported reluctance toward using computers during lessons and stated that they preferred traditional instructional methods. This finding highlights the importance of teacher guidance when transitioning to technology-supported learning environments. One student expressed this view as follows:

“There is no need to use a computer in class. I prefer the teacher to explain the lesson. I would rather listen to the teacher than learn from the computer.” T_3/67– S**

Among individual limitations, some students struggled to use the program effectively due to a lack of digital literacy. Additionally, some students were cautious about computer-based learning, citing potential health concerns associated with prolonged computer use. One student expressed this concern:

“I don’t find lessons taught with a computer as useful as lessons taught with a book because computers emit radiation, but books do not.” T_3/66– S**

In conclusion, the statements under this theme indicate that, despite these limitations, GeoGebra remains an effective learning tool that encourages students’ active participation in problem solving and supports the development of higher-order skills such as analytical thinking, error analysis, and collaborative evaluation.

Discussion

The findings of this study indicate that the dynamic mathematics software GeoGebra can play a pedagogically meaningful role within the context of mathematics teaching and learning. While the findings provide valuable insights into GeoGebra’s role, it is important to note that the study was conducted in a single classroom with a limited number of participants, which may affect the generalizability of the results. GeoGebra is considered not merely a technological tool providing visual support, but as a learning environment that enhances interaction with abstract mathematical concepts and enriches students’ learning experiences. Within the two-stage exploratory qualitative design employed in this study, the thematic structure developed through meta-thematic analysis was interpreted alongside student perspectives obtained from a real classroom setting. This approach enabled the discussion of thematic overlaps and divergences between the prominent themes emerging in the literature and the students’ experiences in the implementation context. Given the substantial body of research on GeoGebra in mathematics education, this study does not aim to develop a new theory but rather seeks to provide an integrative contribution to existing knowledge by synthesizing qualitative literature from 2015 to 2025 and supporting it with classroom-based empirical data.

One of the notable findings of the study concerns how students experience GeoGebra in their processes of understanding mathematical concepts. In particular, the dynamic and visual representation of abstract concepts such as functions, graphs, and algebraic relationships through GeoGebra appears to provide students with a learning experience that allows them to recognize relationships among these concepts. This aligns with Yerushalmy and Shternberg’s (2001) notion of multiple representation fluency, suggesting that students’ transitions between algebraic and graphical representations are experienced as a learning process that supports mathematical thinking. In this context, GeoGebra is perceived not merely as a tool for presenting mathematical knowledge but as a learning environment in which students can reorganize mathematical objects and establish connections across different representations. Statements such as “I understood better when I drew it myself” highlight the importance of learners constructing their own representations from a constructivist perspective (DiSessa, 2018). Such experiences suggest that mathematical thinking is not simply a process of reaching a solution, but rather involves making connections between representations and generating meaning through these relationships.

The interactive nature of GeoGebra demonstrates that students can engage directly with mathematical objects in a dynamic learning environment. Student feedback indicates that observing the immediate effects of changes in mathematical parameters on graphs supports a more exploratory and experiential approach to learning. These experiences, when considered within the framework of instrumental genesis theory (Drijvers, 2019), provide insights into how digital tools are appropriated as part of the learning process. Statements such as “I could better see the change in the function as I moved the graph” illustrate that students understand mathematical relationships through dynamic processes rather than static representations. In this sense, GeoGebra functions as a learning environment that enables students to experiment, explore different possibilities, and generate meaning based on their observations. The continuous interaction with dynamic representations can be interpreted as a structure that allows students to engage in the learning process more actively and inquisitively (Zhou, 2025).

The study also provides important insights into how GeoGebra-supported instruction affects students’ motivation and attitudes toward mathematics. Students’ perspectives indicate that lessons conducted with GeoGebra are perceived as more engaging and participatory. This suggests that students are more willing to engage in mathematical activities and find the learning process more meaningful. From the perspective of self-determination theory (Deci & Ryan, 2013), GeoGebra-supported learning environments appear to satisfy students’ needs for autonomy, competence, and relatedness. Students’ reports of developing a sense of control over their learning through exploratory activities relate to autonomy; their ability to experiment with mathematical representations relates to competence; and classroom interactions and shared activities relate to relatedness. In this way, GeoGebra is experienced as a learning environment that allows students to develop meaningful relationships not only with content but also with their own learning processes (Goldin, 2014).

Furthermore, the findings indicate that GeoGebra-supported learning environments can accommodate individual learning preferences. Student perspectives suggest that the combined use of visual representations, interactive activities, and algebraic expressions provides meaningful learning opportunities for students with diverse learning preferences. This can be interpreted as a learning experience that makes student heterogeneity, often overlooked in mathematics instruction, more visible (Hariri et al., 2025). Students’ ability to construct their own representations, regulate their learning pace, and structure problem-solving processes individually can be associated with learner agency as described in the literature. As Biesta and Tedder (2007) note, learner agency reflects the individual’s capacity to interpret the learning process based on their own experiences rather than external direction. In this study, students’ statements—such as “I drew it myself and understood it better” or “I solved the problem by moving the graph”—indicate that learners actively participated in their learning process and assumed agentic roles in constructing mathematical meaning.

In this context, GeoGebra is experienced as a learning environment in which students do not merely consume provided knowledge but actively engage with mathematical objects to create their own learning pathways. Similarly, research by Kumpulainen and Gillen (2019) on digital learning environments, which focuses on multimodal expression and learner agency, suggests that the interactivity and representational variety offered by GeoGebra may provide a context that supports the development of learner agency.

Conclusion and Recommendations

The findings of this study provide significant insights into how GeoGebra can be positioned as a pedagogically meaningful tool in mathematics education. Qualitative evidence based on student perspectives suggests that GeoGebra is experienced not merely as a supportive technological tool but as a learning component that enriches conceptual understanding, allows students to navigate between multiple representations, and supports mathematical meaning-making. Accordingly, it is recommended that GeoGebra be pedagogically integrated into curricula, particularly in areas such as functions, geometry, mathematical modeling, and multiple-representation skills. Such integration should move beyond a narrow focus on tool usage and be designed to foster students’ conceptual thinking, relational reasoning, and representational fluency.

From the perspective of teacher education, the findings indicate that training programs focusing solely on the technical aspects of the software are insufficient for effective and meaningful use. Teachers need comprehensive professional development programs, structured within the Technological Pedagogical Content Knowledge (TPACK) framework, that enable them to integrate GeoGebra into mathematics teaching pedagogically. These programs should encourage teachers to design, implement, and reflect on lesson plans by combining technology, pedagogical strategies, and mathematical content knowledge. In this way, teachers can become not only competent users of GeoGebra but also practitioners who leverage the software to enhance students’ cognitive and affective learning experiences.

Moreover, the sustainable and inclusive implementation of GeoGebra’s pedagogical potential depends on specific contextual factors. Differences in students’ digital literacy, teachers’ experience with pedagogical integration of GeoGebra, and schools’ technical infrastructure are important variables that influence how digital tools are experienced in learning environments (Perry et al., 2019; Zengin, 2023). The present study was conducted in a single high school in southeastern Turkey with 30 ninth-grade students within a specific instructional context, which limits the direct generalizability of the qualitative findings. Therefore, the results should be interpreted as contextualized examples of how GeoGebra-supported instruction is experienced and interpreted by students in a particular setting. Future research is expected to examine similar or contrasting patterns of GeoGebra’s pedagogical use across diverse socio-cultural contexts, school types, and teacher profiles, employing qualitative or mixed-methods designs. In particular, design-based research approaches offer significant potential for investigating the long-term integration of GeoGebra into instructional practices, evaluating the sustainability of such integration, and developing context-sensitive instructional designs.

Finally, recent developments in artificial intelligence present new avenues for research in mathematics education when integrated with GeoGebra. The use of large language models, such as ChatGPT, in GeoGebra-supported learning environments to provide real-time hints, feedback, and personalized learning experiences can contribute to the development of innovative instructional approaches. However, for such integrations to be pedagogically meaningful, research is needed to support teachers’ and students’ critical and informed use of these systems. In this context, addressing digital inequalities, strengthening technical infrastructure, and designing technological tools in a culturally responsive manner are crucial to ensuring equitable and sustainable use of GeoGebra and similar digital tools in education.