The Future of Teaching and Learning Mathematics with Digital Technologies

Author(s):  
Michèle Artigue
Author(s):  
Dorinda Mato-Vázquez ◽  
Mª Montserrat Castro-Rodríguez ◽  
Camino Pereiro González

Digital technologies have brought about a revolution in all areas of life: technological, business, communicative, cultural, and even in knowledge and entertainment. In the educational landscape it also has its reflection and the methodologies and resources have been redrawn, in terms of different media, channels, languages, narratives, etc. These changes, substantive and profound, affect all the society simultaneously, but other agents as educational administrations and the publishing sector is also involved. In this research we analyze a sample of institutional portals and commercial platforms that offer digital didactic resources in the area of mathematics in the Autonomous Community of Galicia. We focus on the type of materials, the pedagogical model that underlies them, the differences between commercial and institutional platforms, their use, impact on teaching and learning mathematics in the classroom, etc. The instrument used was a questionnaire designed ad hoc and validated and administered to 13 commercial platforms; both those produced commercially by publishing companies and those of an institutional nature generated by the regional administrations of the Canary Islands, Galicia and Valencia. The results indicate that, although the range of online offer of didactic materials for mathematics is wide and with varied formats, they have pedagogical shortcomings that do not favor active methodologies or a true integration of other alternatives that promote the development of open, flexible educational projects that facilitate the attention to the individual and collective diversity of each person, as well as the participation, interactivity / connectivity of the educational community, since most reproduce the format of the printed textbook by adding some online resources.


Author(s):  
Margaret L. Niess

Powerful and modern digital technologies have significantly impacted mathematics teaching – both what is to be learned and how it should be learned. Technology, pedagogy, and content knowledge (TPACK) is the knowledge that teachers rely on for teaching content with appropriate digital technologies. What preparation do mathematics teachers need in order to develop this knowledge needed for integrating appropriate digital technologies as teaching and learning tools? The challenges of understanding TPACK and identifying appropriate educational programs for pre-service mathematics teachers call for thoughtful attention toward the development of the knowledge, skills, and dispositions that support the dynamic nature embedded within the TPACK construct. The design of appropriate pre-service teacher learning trajectories for developing a rigorous TPACK emphasizes that both how and where they learn to teach mathematics are fundamental to what is learned about teaching and learning mathematics. Redesign ideas and models support re-thinking and re-designing pre-service mathematics teacher preparation programs.


2015 ◽  
Vol 5 (1) ◽  
pp. 31-48
Author(s):  
Paulina Pannen

With the rapid development of ICT and its ramification in our world, especially education, can we envision how education will look like in the future, especially in Indonesia, and in the teaching and learning of mathematics? Employing Zappa’s Envisioning the Future of Educational Technology (2013) and NMC Horizon Report (2014) K-12 Edition, this paper will reflect on the effort of ICT integration in teaching and learning, especially in the teaching and learning of mathematics, in Indonesia. Taking stock of the existing Government’s policy on ICT and ICT in Education, also of the facts and figures of Indonesia’s ICT profile, this paper discusses initiatives, practices, and studies of ICT in Education, integration of ICT in the teaching and learning of mathematics, what technology and how to integrate in the teaching and learning of mathematics, and some future prediction on the evolution of teaching and learning due to emerging technologies.


2019 ◽  
Vol 12 (2) ◽  
pp. 209-216 ◽  
Author(s):  
Celina Aparecida Almeida Pereira Abar ◽  
◽  
Ubirajara Carnevale de Moraes ◽  

Author(s):  
Catherine Attard ◽  
Nigel Calder ◽  
Kathryn Holmes ◽  
Kevin Larkin ◽  
Sven Trenholm

Author(s):  
Yeping Li ◽  
Alan H. Schoenfeld

AbstractMathematics is fundamental for many professions, especially science, technology, and engineering. Yet, mathematics is often perceived as difficult and many students leave disciplines in science, technology, engineering, and mathematics (STEM) as a result, closing doors to scientific, engineering, and technological careers. In this editorial, we argue that how mathematics is traditionally viewed as “given” or “fixed” for students’ expected acquisition alienates many students and needs to be problematized. We propose an alternative approach to changes in mathematics education and show how the alternative also applies to STEM education.


1987 ◽  
Vol 71 (458) ◽  
pp. 314
Author(s):  
Paul Ernest ◽  
Peter G. Dean

SAGE Open ◽  
2016 ◽  
Vol 6 (4) ◽  
pp. 215824401667137 ◽  
Author(s):  
Judah Paul Makonye ◽  
Josiah Fakude

The study focused on the errors and misconceptions that learners manifest in the addition and subtraction of directed numbers. Skemp’s notions of relational and instrumental understanding of mathematics and Sfard’s participation and acquisition metaphors of learning mathematics informed the study. Data were collected from 35 Grade 8 learners’ exercise book responses to directed numbers tasks as well as through interviews. Content analysis was based on Kilpatrick et al.’s strands of mathematical proficiency. The findings were as follows: 83.3% of learners have misconceptions, 16.7% have procedural errors, 67% have strategic errors, and 28.6% have logical errors on addition and subtraction of directed numbers. The sources of the errors seemed to be lack of reference to mediating artifacts such as number lines or other real contextual situations when learning to deal with directed numbers. Learners seemed obsessed with positive numbers and addition operation frames—the first number ideas they encountered in school. They could not easily accommodate negative numbers or the subtraction operation involving negative integers. Another stumbling block seemed to be poor proficiency in English, which is the language of teaching and learning mathematics. The study recommends that building conceptual understanding on directed numbers and operations on them must be encouraged through use of multirepresentations and other contexts meaningful to learners. For that reason, we urge delayed use of calculators.


2021 ◽  
Author(s):  
Dragana Glogovac ◽  
◽  
Marina Milošević ◽  
Bojan Lazić ◽  

Modern primary education, especially mathematics, requires constant innovation of teaching practice in order to modernize, rationalize, and efficiently the teaching process. Teaching mathematics should be experienced as a process that promotes learning with understanding, stimulates motivation, active learning, research, critical thinking, analysis, problem solving, drawing conclusions, exchange of experiences. The tendency to improve the quality of mathematics education has resulted in many studies pointing to the benefits of research-based mathematics (IN) teaching, known as inquiry-based learning (IBL), recognized as an essential way of organizing the teaching process to develop key competencies, abilities and skills in 21st century. Тhe aim of this paper is to see, based on a comprehensive theoretical analysis and the results of previous research. The created model of teaching mathematics based on research represents a useful framework for improving the quality of the process of teaching and learning mathematics, and empowers teachers in its application and affirmation, gaining insight into the way of organizing research learning.


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