Digital Technology In Mathematics Education Research Articles

Beliefs of Undergraduate Mathematics Education Students in a Teacher Education Program about Visual Programming in Mathematics Classes

AbstractIn the digital age, the range of digital technologies used in mathematics education grows. Since beliefs are affective-cognitive elements that significantly determine teachers' behavior in the classroom, they are an interesting field of research in mathematics education. A review of previous research has identified different groups of beliefs about the use of digital technologies in mathematics classes. These studies are not focused on specific digital technologies. In an empirical case study that is presented in this paper, the aim was to figure out how beliefs that can be described specifically about the use of visual programming relate to general beliefs about the use of digital technologies in mathematics education. A qualitative content analysis of the reflection journals of seven undergraduate mathematics education students on their work with Scratch, a visual programming environment, in a university seminar led to the formation of ten belief categories about the use of visual programming in mathematics classes. Most of the beliefs are associated with a positive attitude towards visual programming in mathematics education. However, some beliefs could also be identified that refer to the limits and challenges of using visual programming and thus demonstrate rather negative associations. Only a few of the categories identified match the list of belief groups about digital technologies in mathematics education identified in previous research. Some possible reasons for these results are discussed and further research interests in the field of beliefs about the use of digital technologies are suggested.

Co-designing teaching with digital technologies: a case study on mixed pre-service and in-service mathematics teacher design teams

The development of professional digital competencies is an important condition for a meaningful integration of digital technologies in mathematics education. A widely used and empirically studied approach for the professional development of in-service teachers are teacher design teams, in which lessons are collaboratively planned, implemented and reflected. However, this approach has not yet been considered for the collaboration of pre-service and in-service teachers. Therefore, this article examines in a holistic case study mixed teacher design teams composed of pre-service and in-service teachers. A total of 23 interviews were conducted with pre-service and in-service teachers and analyzed by inductive development of categories using the method of qualitative content analysis. The case study shows among other things, that the different prerequisites of the participants can lead to a relatively clear division of roles within the collaboration, which turns out to be suitable for the professionalization of both pre-service and in-service mathematics teachers.

Using Digital Technologies in Mathematics Education at Primary and Preparatory Schools

Using Digital Technologies in Mathematics Education at Primary and Preparatory Schools

Development of professional competencies of future technical university specialists through professionally-oriented teaching of mathematics

Relevance. In modern conditions of globalisation, the issue of the prospects for the organisation of professionally oriented mathematics education in the Republic of Kazakhstan is one of the most important problems for improving the quality of technical education in the state. Purpose. The purpose of the study is the analysis and practical implementation of the methodological component to increase the levels of readiness of future specialists of a technical university for the development of professional competencies, as a guarantee of the education of a competent specialist ready to carry out professional activities. Methodology. The following methods are used: analysis, comparison, systematisation, classification, generalisation and experiment, and methods of mathematical statistics. Results. The study conducted at Korkyt Ata Kyzylorda University developed a methodological toolkit aimed at enhancing the professional competencies of future technical university specialists through professionally-oriented mathematics education. Key findings include the identification of effective pedagogical conditions, such as diverse educational activities, the activation of independent cognitive work, the integration of digital technologies in mathematics education, and the use of professionally-oriented tasks, which collectively contribute to higher levels of readiness among students. Conclusions. The research underscores the importance of a structured approach to professionally-oriented mathematics education in technical universities. By implementing a methodological system that incorporates components and criteria of readiness, educational institutions can significantly improve the professional competencies of future specialists. The study suggests that further refinement of these methodologies can continue to elevate the quality of technical education in the Republic of Kazakhstan, ensuring that graduates are well-prepared for professional activities. Keywords: higher education; teaching methods; components of readiness; pedagogical conditions of training; digital technologies

The role of digital technologies in mathematics education: purposes and perspectives

The role of digital technologies in mathematics education: purposes and perspectives

Recent developments in using digital technology in mathematics education

In this paper we review selected significant developments in the use of digital technology in the teaching and learning of mathematics over the last five years. We focus on a number of important topics in this field, including the evolvement of STEAM and critical making as well as the process of redefining learning spaces in the transformation of the mathematics classroom. We also address the increasing use of computer algebra systems and dynamic geometry packages; and the issue of student collaboration online, especially using learning environments and social media. We briefly touch on artificial intelligence systems, including hyper-personalisation of learning, multimodality and videos. We include a brief discussion on the impact of COVID-19 on mathematics education, and lastly on the more theoretical perspective of the epistemology of digital technology and the construct of humans-with-media. We conclude the discussion with some possible concerns and mentioning some possible new topics for research in the field.

Remote teaching in the Mathematics degree course at the Federal University of Acre: perspectives, difficulties and future possibilities

This research aimed to identify potentialities and protect from remote moments between professors and students of the Mathematics Degree Course at the Federal University of Acre during the pandemic moment, as well as actions that can be worked on by the subjects for a “next” post-pandemic. As methodological resources and source of information, teachers and students were consulted through an intuitive command to identify difficulties/concerns and possibilities with respect to development actions in the period called Emergency Remote. This investigation was qualitative in nature, as I understand that I deepened the understanding of the social group in question and its trajectory does not require quantification. The information was processed in the light of the Philosophy of Mathematics Education, Critical Mathematics Education and Digital Technologies in Mathematics Education. The quality of the students' internet and the possibilities for evaluating students by teachers represented the greatest difficulties encountered during the pandemic. representaram as maiores dificuldades encontradas no momento pandêmico.

Opinions of elementary mathematics teacher candidates on the use of digital technologies in mathematics education

Although it is desired to be integrated into education quickly with the advancement of technology, it takes time to embed such changes in education. Teachers and teacher candidates are expected to have sufficient readiness and technological infrastructure in order to keep up with the targeted and rapid transformations. The study aims to determine the views of elementary mathematics teacher candidates (EMTC) on the use of digital technology (DT) in mathematics education. A case study, one of the qualitative research methods, was used in the research. The data of the study conducted with 83 elementary mathematics teacher candidates were collected within the framework of nine open-ended questions. In line with the analyses carried out, it was concluded that undergraduate courses positively affect the use of digital technologies in mathematics education. It has been stated that the COVID-19 pandemic has opened the door to the use of digital technologies in mathematics education, and opinions on what digital technologies can be used in mathematics education have been put forward. Suggestions were made that teacher candidates should increase the courses on the use of digital technologies in their undergraduate education.

Teaching and Learning Sciences within the Covid-19 Pandemic Era in a Greek University Department

Around the globe Covid-19 pandemic has influenced not only the education, but also our everyday life, among other aspects. In Greece, distance learning started to get in use widely in tertiary education, since the first national lockdown was announced and reshaped education in many ways. In the University of Thessaly, in the Department of Mathemat­ics, undergraduate students opt for a lot of different courses to attend and due to the Covid-19 crisis all of them are taught via web platforms. Some of the most significant theoreti­cal subjects are «Calculus» (with applications in Science and Mechanics), «Physics» (Classi­cal Mechanics) and «Philosophy of Science». In addition, some other applied subjects are «Programming Languages» and «Digital Technologies in Mathematics Education» and the impact the above have, generally in edu­cation and society itself. In this paper, we describe the different ways students have re­acted regarding learning Sciences in a distance learning environment. We split our case study in two parts. The first one is about the way students experience e-learning and the second one is about their suggestions for the next day. Integrating e-questionnaires and interviews and taking into account parameters like economic factors and the permanent residence issue, we asked the students about their preferences among face-to-face learning, distance learning and a blended model. Remarks about the academic life and the possible ways of taking the extra step, after the Covid-19 crisis ceases to exist, are made.

COVID-19 and the use of digital technology in mathematics education.

Once the COVID-19 crisis is over, will everything” return to normal” or will we instead witness an ongoing boom in online learning? A time of crisis is an opportunity for all education systems to look to the future; there is enormous potential for digital technology in mathematics education, regardless of the impact of COVID-19. In this paper, the researcher focuses on answering two research questions: (1) Is COVID-19 the gateway for digital learning in mathematics education? (2) What type of digital technology is being used in mathematics education during the COVID-19 pandemic? The study also provided a discussion on the implications that such digital technologies could have on research into the field of mathematics education and practice in addition to suggestions for future research directions on this topic. Interviews were chosen as techniques for the purpose of this research, which were undertaken with hundred and twenty mathematics teachers from different secondary schools in the Kingdom of Saudi Arabia. The researcher found that 98% of participants believed that COVID-19 is the gateway for digital learning in mathematics education. In addition, 97% claimed that the use of online education by schools had expanded greatly following the coronavirus outbreak. This has resulted in various forms of software being used to facilitate communicate between teachers and students included mobile technologies, touchscreens and pen tablets, digital library and designing learning objects in mathematics education, Massive Open Online Courses (MOOCs) in mathematics, and computer algebra systems (CAS) such as Mathematical, Maple, MuPAD, MathCAD, Derive and Maxima.

Digital Instructional and Pedagogical Gaps in Mathematics Education during COVID-19: APOS Theory Based Laboratory Methodology in Higher Education

The COVID-19 pandemic globally transformed the face to face teaching and learning into digital online teaching and learning. The uptake and integration of digital technology in mathematics education have been gradual for many decades. However, the COVID-19 pandemic has reshaped the digital teaching and learning and made it an imperative and safe remote instruction and pedagogy of the day in mathematics education and education in general. We explored the uptake and use of virtual mathematics laboratory methodology for undergraduate Calculus teaching and learning as a remote instruction and pedagogy gap revealed during the COVID-19 infections prevention and containment period in Zimbabwe. The main objective of the study was to identify digital instructional and pedagogical gaps that existed in addressing students' mathematical misconceptions in Calculus learning in using the APOS theory and a virtual mathematics laboratory. Data was collected from 160 undergraduate students taking Calculus courses via APOS theory mediated digital mathematics laboratory for a semester. Results revealed that the undergraduate students who took the Calculus courses via the digital mathematics laboratory methodology performed better than those who used to take the same courses using didactical approaches. This COVID-19 crisis ushered in digital teaching and learning experiences that clearly spelt out the existence of digital instructional and pedagogical gaps in mathematics education.

Integrating digital technology in mathematics education: a Swedish case study

ABSTRACT Integrating digital technology in education is challenging. This study reports on three high school mathematics classes where teachers attempted to improve their teaching and student learning by using a digital tool. For analysis we use the Information System Artifact model Lee et al. (2015) which distinguishes between three integrated sub-artifacts, the technological, the informational and the social and the Structurational Practice Lens to educational technology Halperin (2017). Using interviews and observations we find the major obstacle for student learning is a less developed social artifact. Students have difficulties using the tool effectively when teachers do not work to develop shared practices in technology use. When teachers do not themselves use the tool actively, they do not fully understand how students can learn from it, neither can they help them in synthesizing teacher- and tool instructions. Students end up having “two masters” competing rather than integrated teacher instruction and technology assistance.

A transposição didática na elaboração de um objeto de aprendizagem no GeoGebra

Resumo: O objetivo deste trabalho é descrever como questões da teoria da Transposição Didática estão presentes na construção de um Objeto de Aprendizagem no GeoGebra e algumas contribuições disso na Educação Matemática com Tecnologias Digitais. Para isso, apresenta-se o que se compreendem como Objetos de Aprendizagem e os diferentes processos e ações no processo da Transposição Didática. Na sequência, descreve-se como essas questões teóricas estiveram presentes na elaboração do simulador, o qual é compreendido como um Objeto de Aprendizagem. Na descrição, evidenciou-se que parte dos processos e ações da Transposição Didática estiveram presentes na elaboração, mesmo que ele não tenha sido idealizado à luz desta teoria. Neste sentido, conclui-se que na utilização das Tecnologias Digitais na Educação da Matemática é possível perceber características da Transposição Didática. 
 Palavras-chave: Transposição Didática; Objeto de Aprendizagem; GeoGebra.

On music production in mathematics teacher education as an aesthetic experience

This paper addresses the integrated use of the arts and digital technology in mathematics education—specifically involving aspects of preservice teachers’ mathematical activity while engaging in music production, in pedagogic scenarios conceived of as aesthetic mathematical experiences (AMEs). Theoretically, the research evokes notions such as digital mathematical performance, aesthetics, humans-with-media, and musical theory. Methodologically, the study presents a pedagogic model for mathematics teaching and learning through music production; the model is elaborated using qualitative case studies in which preservice teachers (education majors and mathematics majors) created mathematical songs with music software. In their songs, the education majors explored place value and the mathematics majors explored progressions. The research highlights the mathematical ideas and the narrative nature of the lyrics, as well as the digital structure of the songs created collectively. The study also emphasizes aspects of thinking-with-music-software related to musical concepts such as intervals, note values, and harmonic fields. The results reveal that the AMEs offered ways for preservice teachers to think mathematically and aesthetically through the composition of the lyrics and by the creation of virtual instruments with music software.

CAS Assisted Proofs in Upper Secondary School Mathematics Textbooks

This article addresses the didactical effects of CAS assisted proofs in Danish upper secondary mathematics textbooks as a result of the 2005 reform that introduced CAS as a part of the upper secondary level curriculum (and examinations). Based on a reading of 33 upper secondary school mathematics textbooks, 38 instances of CAS assisted proofs are identified in ten different textbooks. The CAS based proofs in these textbooks are of three types: complete outsourcing of the proof to CAS; partial outsourcing of the proof to CAS; and additional verification of the proof’ correctness by CAS. Analyses of examples of each of these types are provided. The analyses draw on theoretical constructs related to both proofs and proving (e.g. proof schemes) and to use of digital technologies in mathematics education (lever potential, blackboxing, instrumental genesis). In particular, the analyses make use of a distinction between epistemic, pragmatic and justificational mediations. Results suggest both potential problems with using CAS as an integrated part of deductive mathematical proofs in textbooks, since it appears to promote undesired proof schemes with the students, and difficulties with understanding these problems using the constructs of epistemic and pragmatic mediations that are often adopted in the literature regarding CAS use in mathematics teaching and learning.

Towards a definition of \u201cmathematical digital competency\u201d

Due to the embeddedness of digital technologies in mathematics education of today, we often see examples of students simultaneously using their mathematical competencies and digital competencies. In relevant literature, however, these are not seen as a connected whole. Based on reviewing existing competency frameworks, both mathematical and digital, and by exploring an empirical example, this article addresses the question of how to think about and understand a combined “mathematical digital competency” (MDC). In doing so, the article relies on the two theoretical frameworks of the instrumental approach and conceptual fields to “bridge” the mathematical and digital competency descriptions.

Underlying Theories for use of Digital Technologies in Mathematics Education

In this paper, we aim to build on conceptual framework to encourage readers to reflect on the educational scenarios of this digital era, especially in relation to Mathematics Education. We will address research that describes challenges to schools and teachers added by the technological environments. Mathematics Education could employ a wide range of technological resources and researches have shown some positive results with their uses. However, the sole access to these resources does not guarantee meaningful learning by students. We consider that distance learning could allow opportunities for lifelong learning and paths for continuing education to promote a renewal in teaching practices. Therefore, it’s important for all teachers to reflect on their competencies to use technologies in their teaching practices. This requires studying and reading about the subject, related theories and papers of which some presented in this paper. We will indicate the theoretical-methodological potentialities in teaching and learning of mathematics in this digital era. We hope that the indications of underlying theories along with the texts can contribute for overcoming such challenges.

Mathematics Teachers and Digital Technology: A Quest for Teachers’ Professional Development in Indonesia

This article aims to explore a possible criterion of digital technology mathematics teachers’ professional development[1]. The criterion was canvassed through qualitative exploratory study which involve a hybrid model of DigiTech TPD, online published articles of related TPD, and theoretical perspective which relate to digital technology in mathematics education. Related frameworks (Drijverset al, 2010; Trocki & Hollebrands, 2018) and content analysis were utilized to analyze the first two data. Theoretical perspectives of digital technology in mathematics education were accounted to reflect prior data and explore the criterion. We found that the current TPD[2]has not developed the knowledge of task design and supported teachers' roles in orchestrating technology-rich mathematics teaching as seen in the low level of tasks and teachers' orchestration in the classroom. Related articles on TPD in Indonesia show that the programs have not touched decisive factors of successfully implementing digital technology. An alternative criterion for DigiTech TPD is explored which includes three aspects namely theoretical approach, model and content. It could be alternative point of departure for designing and conducting DigiTech TPD in Indonesia.

Mathematics Teachers and Digital Technology: A Quest for Teachers’ Professional Development in Indonesia

This article aims to explore a possible criterion of digital technology mathematics teachers’ professional development[1]. The criterion was canvassed through qualitative exploratory study which involve a hybrid model of DigiTech TPD, online published articles of related TPD, and theoretical perspective which relate to digital technology in mathematics education. Related frameworks (Drijverset al, 2010; Trocki Hollebrands, 2018) and content analysis were utilized to analyze the first two data. Theoretical perspectives of digital technology in mathematics education were accounted to reflect prior data and explore the criterion. We found that the current TPD[2]has not developed the knowledge of task design and supported teachers' roles in orchestrating technology-rich mathematics teaching as seen in the low level of tasks and teachers' orchestration in the classroom. Related articles on TPD in Indonesia show that the programs have not touched decisive factors of successfully implementing digital technology. An alternative criterion for DigiTech TPD is explored which includes three aspects namely theoretical approach, model and content. It could be alternative point of departure for designing and conducting DigiTech TPD in Indonesia.

The use of Digital Technology in Mathematics Education for Engineering Students

Digital technology is essential in teaching and learning mathematics to understand the basic concept and the way of problem solving technique. The primary observation found that the mathematics lecturers are not fully utilizing digital technology in their classroom, while teaching engineering students. A survey was conducted to study the barriers preventing the integration and adoption of digital technology in teaching mathematics. Five major barriers were identified: insufficient lecturer training opportunities, inadequate technical support, and lack of knowledge about ways to integrate digital technology to enhance the curriculum, lack of time in the college or university schedule for involving Information and Communication Technology and unavailability of digital resources for the students to access the necessary mathematical materials. To overcome some of these barriers, this research proposes a prototype system for teaching and learning mathematics. The prototype system consists of three users; administrator, lecturer and students. It has many amenities such as lesson planner, assignments, collection of mathematical tools, resources storage, and mathematical guidelines, latest research and projects, forum and so on. The prototype system will be prepared for teaching and learning mathematics much more interesting, inventive, innovative, exploratory, and user friendly manner.