tist’s opinion, despite all the barriers of involving such
services, Web-oriented education is a rapidly grow-
ing educational area. With the help of these services,
we can offer a bright educational environment cre-
ated with the use of different strategies and technolo-
gies of education. While making a selection of Web-
resources, every person has an opportunity to design
Personal Learning Environments (PLE) according to
their line of work. All things considered, master-
ing new resources and designing their PLE calls forth
timeliness of developing methods and ways to help
and support Mathematics teachers.
We have investigated the experience of scientists
who have contributed to the implementation of Web
technologies in higher education. Carrying out such
analysis we have studied recommendations by Kom-
pen et al. (Kompen et al., 2009) who point out the
importance of describing Web 2.0 tools and services
that may be chosen to collect and process the informa-
tion. Tautkevi
ˇ
cien
˙
e and Dubosas (Tautkevi
ˇ
cien
˙
e and
Dubosas, 2014) have emphasized the need to develop
such Web 2.0 tools that will encourage students’ de-
sire for publishing and sharing the knowledge created
by them.
Among studies on the methods for designing Per-
sonal Learning Environments, the ones focused on de-
signing PLE for schoolers and students prevail. Their
goal is e-learning, remote, or non-formal learning.
Thus, Kompen et al. (Kompen et al., 2019) drafted
general guidelines for the implementation and use of
the personal learning environment by students in a
formal format in higher education (University level).
Alharbi et al. (Alharbi et al., 2013) tried to allow
students to design their technologies of PLE, such
as blogs, websites, and Web 2.0 services. The re-
searchers offered a model for designing PLE, which
covers both traditional formal (in Universities), and
informal (private) academic learning.
Shaikh and Khoja (Shaikh and Khoja, 2012) em-
phasize the necessity to study the role, which a
teacher plays in the learning process. The researchers
outline the competencies, necessary for teachers who
help students plan or design Personal Learning En-
vironments. Couros (Couros, 2006) holds the same
opinion and states that a teacher can provide online
learning better if they designed their PLE model.
Building a teacher’s PLE model requires under-
standing the essence of the term Personal Learning
Environments. There are different approaches to de-
termine it given in (Attwell, 2007; Drexler, 2010; van
Harmelen, 2006; Kompen et al., 2019; Segura and
Quintero, 2010; Shaikh and Khoja, 2012), but there
is no general definition of the term PLE.
The authors of this article will follow a definition,
suggested by Kompen et al. (Kompen et al., 2019),
who consider PLE to be a set of Web-technologies
having a different level of integration and which help
users manage the flows of information on education,
knowledge creation, and skills development. Such an
approach, according to Perikos et al. (Perikos et al.,
2015) will help to identify the most suitable tools to
create content for PLE. Moreover, scholars firmly be-
lieve, that such research will contribute to the devel-
opment of educational online courses on how to use
Web 2.0 tools. Following the conclusions made by
scientists, we can see the use of such an approach to
develop online courses with the purpose to prepare
higher school Mathematics teachers. Relevance and
timeliness of the issue to design PLE for Mathematics
teachers was discussed during the International Con-
ference on Sustainable Future: Environmental, Tech-
nological, Social and Economic Matters (ICSF 2020)
(Vlasenko et al., 2020b), the participants of which
concluded the necessity to develop and implement on-
line support for Mathematics teachers in designing
PLE.
According to the research conducted by Vlasenko
et al. (Vlasenko et al., 2020a), first of all, designing
PLE requires finding out the types of activities that
the teacher carries out, and, secondly, determination
of those Web 2.0 tools that can make this activity full.
This article is aimed at the presentation of a
Mathematics teacher’s PLE model and description of
Web 2.0 tools that support the teacher during their ac-
tivities.
2 METHOD
Applying deductive content analysis of research pa-
pers (Couros, 2006; Kadle, 2010; Morrison, 2013;
Quinn, 2009), the authors of the present paper con-
cluded the necessity to structure PLE of University
Mathematics teachers, based on the types of their ac-
tivities. When singling out the types of such activi-
ties, the authors also took into consideration the sur-
vey results. The survey, which had 16 questions, was
designed with the help of an open online service and
uploaded to the platform “Higher school Mathematics
teacher” (Vlasenko, 2019).
87 respondents were involved in the survey, of
which 70% have more than 15 years of experience in
higher education. 56.5% of respondents hold the po-
sition of associate professor, and 30.4% – professor.
At the same time, 87% of respondents have a doctoral
degree.
The questions were aimed at defining the aware-
ness level of the academic staff about using Web-
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