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Article

Teacher Professional Development in STEM Education: An Integrated Approach with Real-World Scenarios in Portugal

by
Maria Cristina Costa
1,2,3,*,
António Manuel Dias Domingos
3,4,
Vítor Duarte Teodoro
3,4,5 and
Élia Maria Rodrigues Guedes Vinhas
6
1
Department of Mathematics and Physics, Instituto Politécnico de Tomar, Estrada da Serra, 2300-313 Tomar, Portugal
2
Smart Cities Research Center (Ci2), AcademiaCAP, Instituto Politécnico de Tomar, Campus de Tomar, 2300-313 Tomar, Portugal
3
CICS.NOVA—Interdisciplinary Centre of Social Sciences, Universidade NOVA de Lisboa, 1099-085 Lisbon, Portugal
4
Department of Social Sciences, NOVA School of Science and Technology, Universidade NOVA de Lisboa, 1099-085 Lisbon, Portugal
5
CeiED, Institute of Education, Lusófona University, 1749-024 Lisboa, Portugal
6
Agrupamento de Escolas de Pombal, 3100-484 Pombal, Portugal
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(21), 3944; https://doi.org/10.3390/math10213944
Submission received: 9 September 2022 / Revised: 12 October 2022 / Accepted: 13 October 2022 / Published: 24 October 2022
(This article belongs to the Special Issue STEAM Teacher Education: Problems and Proposals)

Abstract

:
The implementation of an integrated approach of STEM education with real-life scenarios is crucial to motivate students to learn and to better prepare them for real-world challenges, which is a big challenge for teachers. Therefore, there are implications for teaching practice and consequently the need for professional development. This paper presents an integrated approach of STEM education developed in the context of a collaborative professional development programme implemented in an exclusive online context, provoked by the COVID-19 pandemic. The programme aimed at providing teachers with knowledge and skills to develop STEM integrated tasks to be implemented in class. This study used a quantitative–qualitative approach to answer the research questions, using mixed methods to collect data. Participants are primary school teachers who participated in the programme during four months in the school year 2020/2021. Based on data collected from questionnaires, participant observation and teachers’ final reports, it was verified that teachers recognized the importance of obtaining training in STEM education and that this type of professional development was very relevant and improved their knowledge and skills to implement STEM hands-on practices in class. In addition, a case study of a science and mathematics 6th grade teacher is presented to illustrate how she implement integrated STEM tasks in class based on a real-world scenario such as the COVID-19 pandemic. Finally, teachers recognized the importance of this approach and that it increases students’ motivation to learn.

Graphical Abstract

1. Introduction

The literature refers to the need for implementing an interdisciplinary and student-centered teaching approach to better prepare students for the increasingly demanding challenges of modern societies [1,2]. In this regard, several authors argue that the introduction of STEM (Science, Technology, Engineering and Mathematics) education, based on real-life scenarios, motivates students to learn and promotes the development of 21st century skills [3,4,5]. Therefore, it is recommended the implementation of STEM education either at the level of elementary and middle school [3] up to high school [6]. In fact, STEM has been gaining more prominence and currently it is part of the school curriculum in several countries [1,7].
Although there is limited agreement in the international community about what STEM education means and how it should be taught [8,9,10,11], some authors present theoretical frameworks regarding STEM integration [8,12]. By an integrated approach of STEM education in class, in our research, we consider tasks that preferably include content related to all four of the STEM subjects included in the acronym [9]. In addition, at the elementary level (e.g., primary school), we recommend that tasks are introduced to students guided by the teacher to be adequate to their age. In this regard, teachers need to create a guided discovery environment to promote students’ learning in STEM subjects.
In Portugal, there are increasing calls for innovative approaches, having recently emerged several guidelines, namely on Essential Learning [13] in conjunction with the Profile of Students When Completing Mandatory Schooling [14]. The last document mentions the need for educational systems that contribute for the development of skills that allow students to respond to the complex challenges of the 21st century, taking into account the evolution of knowledge and technology. In this sense, the curriculum must be interpreted and managed by teachers, in order to explore real and different themes, adapting them to the school environment and to students’ needs. Therefore, there are implications for teaching practice and the contents of each area must be addressed and framed in everyday problems of both the students and the socio-cultural environment where they are inserted in [14]. This is a big challenge for teachers, who need professional development to be able to achieve these goals [1,2,15].
In 2020, the COVID-19 pandemic, caused by coronavirus SARS-CoV-2, affected all life in the world and had implications for the educational systems of different countries [16,17,18]. In Portugal, on 16 March 2020, the suspension of face-to-face teaching and learning activities was decreed to face the epidemiological context. Again, in January 2021, another suspension of face-to-face teaching showed that the pandemic was not yet over. This problem happened all over the world, where isolation and other measures were taken in different countries. The suspension of face-to-face teaching brought great challenges to schools, students and their teachers, who had to prepare and lecture classes online using resources that many of them did not know how to use before [19,20,21]. Therefore, the pandemic is a real-world scenario that has invaded our lives, provoking different opinions in the population because not everyone understood the need for extreme measures such as compulsory isolation or vaccination, among others [18].
This paper presents an integrated approach of STEM education based on real-life scenarios and developed in the context of a collaborative Professional Development Programme (PDP), targeted to primary school teachers (6 to 10 years old). Due to the COVID-19 pandemic, the PDP was implemented in an exclusively online context through the Zoom platform, from October 2020 to February 2021. By “exclusively online”, it is meant without face-to-face meetings.
To guide the study, the following research questions are addressed:
What are teachers’ perceptions about an online STEM hands-on PDP?
What STEM teaching strategies favored students’ understanding of a real-world problem?
The context of the PDP, together with the answer to the first research question, can give important insights to educators or other stakeholders interested in operationalizing this type of PDP. In addition, the answer to the second research question is a valuable contribution regarding the implementation of a strategy that includes STEM hands-on tasks in class based on real-world scenarios (e.g., COVID-19 pandemic), which is a big challenge to teachers who need specialized knowledge to teach the STEM contents and skills to develop this approach (e.g., how to create a guided discovery environment to promote students’ learning).
To develop the research, an empirical study with teachers who participated in the PDP was conducted. A case study of a 6th grade teacher (students of 11 to 12 years old) will be presented to exemplify an integrated approach of STEM education developed in class to make students understand the current real-world scenario of the COVID-19 pandemic, where mathematics is highlighted as required by some authors [22,23]. The paper is organized as follows. In the next sections, the literature review is included, followed by the methodology and data analysis and discussion. Finally, main conclusions are presented.

2. Literature Review

To face a fast-changing world and the complexity of modern societies, the literature advocates the need to motivate students to learn and gain skills related to STEM subjects [1,5,11,15]. However, there is limited agreement about what STEM education means [8,10,24,25], how to develop a STEM curriculum and how it should be taught, which means there is a need for more research in this matter [3,22], namely regarding teaching practices and teachers’ professional development [26].
Aiming at reducing “the ambiguity” of STEM education, Aguilera et al. [8] (p. 3) presented a theoretical framework for STEM education regarding disciplinary integration and associated teaching methods. Following the guidelines of several authors, they identified three levels of integration of the STEM disciplines from multidisciplinary, interdisciplinary to transdisciplinary. In all three levels, Science, Technology, Engineering and Mathematics are incorporated into the same activity. In the first level (Multidisciplinary), each discipline has its own learning goals and all STEM disciplines are equally relevant. In the second and third levels, “the learning goals transcend the individual disciplines, since they involve various disciplines”. In the second level (Interdisciplinary), “the learning goals are (predominantly) curriculum oriented”. In third level (Transdisciplinary), learning goals “focus on the problem, preferably real-world problem, and they are oriented towards social implications”.
This framework has similarities with Vasquez et al. (2013) who also discussed different levels of integration describing a continuum of increasing levels such as multidisciplinary (shared theme in separate instructional disciplines), interdisciplinary integration (learning goals from multiple disciplines are merged within a specific concept) and transdisciplinary integration (respond to a real-world essential question using 21st century skills). Vasquez et al. [12] stated that in between this continuum levels, there is flexibility for the educators to approach mathematics and STEM education. The age of students, namely their experience and cognitive development need to be taken into account regarding the implementation of these levels of integration. In the early ages (e.g., primary school), teachers have a more relevant role to adapt the contents to students, whereas in secondary and higher education, a degree of interdisciplinary or transdisciplinary integration can be provided with the teacher in a more secondary role [8,12].
In addition, there are issues related to skill shortages in STEM fields [27], being necessary to highlight the role of M in STEM to innovate and improve mathematics teaching [23], which can be an innovation for teaching mathematics [22]. Furthermore, there is a need to develop research to understand how STEM integration can promote mathematics education [24], how to make mathematics more meaningful across disciplines and also to support teachers in this direction [28].
An increasing number of authors argue about the importance of an integrated approach to STEM education [6,29,30,31], namely about integrating the four disciplines [9]. In addition, meaningful learning should be provided by relating the most important contents of the subject to be taught with the most relevant aspects of the student’s cognitive structure, including the environment where the student is inserted in [32]. Furthermore, for more effectiveness, STEM education should make the transition from traditional lecture-based teaching strategies to more inquiry and project-based approaches [33,34]. Moreover, it should resort to relevant interdisciplinary real-world scenarios [15], with the aim of providing students with skills to solve real-life challenges and improve their achievement [27,35,36].
In this regard, teachers have a crucial role to provide students with the contexts and strategies recommended to develop an effective STEM education in schools, which is related to the implementation of tasks in class that include interdisciplinary real-world scenarios [1,15,37]. Therefore, teachers need to have knowledge and skills to be able to deliver meaningful knowledge related to the subject matters to teach and understand the feedback of their lessons on students [38]. These last authors state that learning implies that new information is processed and incorporated into students’ previous knowledge or creating new schemes of knowledge. In this regard, teachers need to know how to present information and ideas in a meaningful way, which is a complex mission that requires knowledge and creativity.
Teachers’ beliefs and perceptions related to STEM education are important regarding the implementation of STEM education in schools because they will influence teachers’ STEM instruction [39]. Based on a systematic literature review, the same authors verified that, although teachers recognized that interdisciplinary STEM education can be potentially beneficial for students, they also identified several challenges and barriers to its implementation. For example, they reported lack of subject matter knowledge concerning STEM content, lack of teacher support and lack of instructional resources, among other issues. In addition, they refer that pre-service and in-service training was inadequate and did not prepare them for this approach. Therefore, they recognize that they are not prepared to integrate STEM subjects. Thus, to overcome these problems and improve the implementation of STEM education, teachers suggest the need for effective professional development that provides them with learning opportunities to increase their ability to effectively integrate STEM content. Finally, Margot and Kettler [39] argued for the need for more studies that document the success of STEM programs, suggesting that they would be beneficial as examples to increase the implementation of STEM education.
Regarding STEM education, an integrated approach should include real-world scenarios with the aim of engaging students and provide them with meaningful learning [15], which can be a difficult challenge to teachers in schools [2]. In fact, the modern world faces complex problems that involve interdisciplinary knowledge and skills to solve them, which requires curricular integration in schools [1,2]. However, there is a need for more studies regarding issues about preparation of STEM teachers and professional development programs on integrated STEM [25]. The same authors proposed a five-step framework for developing STEM curricula, where we highlight “Select a real-world context or problem” and “Design a series of activities to engage students”.
Furthermore, in the context of the COVID-19 pandemic, there is a need to develop systems of teacher support and collaboration to provide teachers with knowledge and skills to introduce new pedagogies [40]. Therefore, an emphasis on in-service professional development of teachers is required to accomplish this goal [18]. In this regard, it is crucial to offer teachers an appropriate and effective professional development programme that provides them with knowledge and skills to innovate their practices, in particular, in STEM education [9]. According to Darling-Hammond, Hyler, Gardner and Espinoza [41], effective professional development is defined as “structured professional learning that results in changes to teacher knowledge and practices, and improvement in student learning outcomes” (p. 2). Therefore, it is not enough to develop PDPs, it is crucial that they impact teachers’ knowledge and practice which leads to student learning.
In summary, the promotion of STEM education, namely an integrated approach with real-life scenarios, has implication in teachers’ practices, which requires their professional development. However, the literature identifies a lack of consensus on a definition of STEM education, and also the need for more research regarding how it should be taught and about teachers’ professional development in this matter [3,10,25]. In addition, more studies documenting successful STEM programmes should be provided as examples to increase the implementation of STEM education [39].

3. Materials and Methods

In this section, we begin by describing the PDP followed by the methodology of the research.

3.1. The teachers’ Professional Development Programme

An empirical study with teachers who participated in a PDP was developed. The programme entitled “Promoting Interdisciplinarity in Basic Education: New methodologies in teaching Mathematics, Science and Technology” includes several workshops related to STEM with a duration of two to three hours (Table 1). The main goal of the workshops was to provide teachers with knowledge and skills to develop and implement integrated STEM hands-on practices in class. Science topics are related to sound, electricity, biology, astronomy, amongst others.
The PDP was developed in partnership with a Teacher Training Center and approved by the Pedagogical Scientific Council for Continuing Education, which is responsible for the accreditation and evaluation of in-service PDP in Portugal. The programme consisted of a total of 26 h with 13-h workshops with college educators (Table 1) and another 13 h of autonomous work of the teachers in class supervised by the educators. The PDP was announced on the Teacher Training Center website and teachers made their inscription voluntarily. At the end of the programme, the teachers presented a portfolio that included an individual report with a critical account of the PDP and evidence of the tasks developed and implemented in class with the students.
In the 2020/2021 school year, a teachers’ PDP was approved to start, but the COVID-19 pandemic had to be considered. After a few meetings with the Teacher Training Centre leader and some teachers, it was decided that the format would be online through the Zoom platform and using the Teacher Training Center’s Moodle platform for the asynchronous work.
However, the strong component of hands-on practical activities that characterized previous editions, and contributed to its success, needed to be included. In this regard, given the importance of exemplifying the hands-on experiments, several videos and tutorials were prepared. In addition, live demonstrations and interactive sharing the screen of the computer with the teachers were performed.
In the first workshop, the STEM education approach is introduced to teachers, namely strategies of implementation in class. Several examples of tasks implemented by other teachers are presented to help the participant teachers understand the methodology and to inspire them to develop this approach. In addition, teachers are encouraged to create their own tasks according to the curriculum they teach and the school level they work in. A collaborative environment is provided among educators and teachers in order to help them in the PDP.
In previous research by the authors of this paper, regarding previous editions of the PDP, lack of science knowledge (e.g., sound or electricity) by primary school teachers was identified [9], which made it difficult for teachers to develop interdisciplinary tasks. Therefore, during the workshops, theoretical contents related to science are introduced at the same time as teachers practice what they are expected to implement in class with their students. In addition, examples of STEM practices developed by other teachers were reinforced to help teachers implement this approach.

3.2. Methodology of Research

The participants in this research are primary school teachers who participated in the PDP (Table 1). This paper uses a mixed methodology with a qualitative approach and also a questionnaire that was applied to teachers. The qualitative methodology with an interpretative approach includes participant observation by some authors of this paper during the workshops of the PDP [42]. The main goal of a qualitative methodology is to understand a phenomenon in its real context and from the point of view of its participants [43]. Moreover, a case study is empirical research that observes a phenomenon within its real-life context, allowing a generalization of the results obtained, and requiring skills and expertise from the researchers [44]. In this regard, a case study of a Mathematics and Natural Sciences teacher, with two classes of Grade 6 students is presented.
In addition, documental analysis of teachers’ final reports was performed, and participating teachers completed a questionnaire, developed by the researchers, regarding their perceptions about the PDP including the online format. To preserve the identity of the participants, all names in this paper are fictitious.
At the end of the last workshop of the programme, teachers were invited to fill in a questionnaire that was developed in Google Forms. All the teachers who participated in the workshop answered voluntarily to the questionnaire: 13 teachers (12 female teachers and one male teacher) from twelve schools of Portugal. Table 2 and Table 3 give information about the age of the teachers and about the grade level they teach, respectively. In Portugal, the 1st cycle of primary school includes four grade levels (1st to 4th grade, 6 to 9 years old), and 2nd cycle of primary school includes two grade levels (5th to 6th grade, 10 to 12 years old).
As can be seen, in Table 1, about 92.4% of the teachers were older than 40 years old, and 53.9% were older than 50 years old. Table 2 gives information about the grade level they teach.
At the end of the PDP, teachers presented written reports with a critical account and their perceptions about the programme and, also, proposals of tasks to implement in class, as well as evidence of the activities developed in class with their students.
Several teachers developed STEM tasks related to real world scenarios (e.g., sound, astronomy, sustainable development goals, among others). Since the COVID-19 pandemic is a real-world phenomenon that invaded our lives and affected students, namely through social isolation measures, a case study of a teacher who implemented tasks based on this scenario was chosen. Moreover, her example shows how to implement integrated STEM tasks in class based on a real-world scenario. Teacher Elisa (fictitious name) was aged 55 years old and had 30 years of in-service experience. Supervised by the PDP educators, she developed interdisciplinary tasks to make students understand the spread of the disease and raise awareness of the need for precautions to be taken to prevent its consequences.

4. Results and Data Analysis

In this section, we discuss the PDP based on the perceptions of teachers who participated in the programme in the school year 2020/2021. After, we present the case study of a Mathematics and Natural Sciences teacher, who developed STEM integrated tasks based on a real-world scenario and implemented them in two 6th grade classes.

4.1. Teachers’ Perceptions about the PDP

As referred before, the workshops of the PDP were totally online because of the COVID-19 pandemic. At the last workshop of the PDP, a short and simple questionnaire was applied to teachers using Google Forms with four Likert items with a five-point scale (these items were previously assessed and validated by one of the authors not involved in the construction of the questionnaire). Table 4 shows the relevant questions and Table 5, the results of the answers to the questions (n = 13).
As can be seen in both tables, all teachers responded positively to all the questions. For example, in Q1, all teachers agree that the approach proposed in the workshops is more motivating for students’ learning. This approach is related to hands-on experiments implemented promoting interdisciplinarity with STEM contents, which is in line with the literature that recommends it (e.g., [31]).
Regarding the importance of obtaining training in this area, all the teachers recognize that it is “High” and “Very High”, with 92.3% for “Very High”. This means that they find this PDP important and that they need to have guidance related to STEM education. Besides recognizing the importance of promoting STEM education, it also means that teachers understand the need to acquire knowledge and skills to implement STEM hands-on practices in class. These results are in line with Margot and Kettler [39] who report that teachers suggest the need for effective professional development that provide them with learning opportunities to increase their knowledge and ability to effectively integrate STEM content.
Question Q3 is related to the usefulness of the PDP in teachers’ practices and question Q4 with the online format. All teachers responded positively to both questions. However, the results are not as enthusiastic as in the previous questions. This may be related to their confidence on knowledge and skills about implementing hands-on practices in class and, regarding question Q4, on the preference for face-to-face workshops.
Next, excerpts from teachers’ final reports, presented in February 2021, are discussed in order to bring more light to the discussion (Table 6). In this table, we highlight the following dimensions: Motivation and expectations, Online format, Workshops and curricula contents, Impact of the PDP in teachers, Innovative practices, Collaborative environment among teachers and educators, and Impact in students.
Besides revealing great expectations, motivation and enthusiasm, the excerpts from teachers also refer to the structure and content addressed in the PDP (e.g., Olinda, Beatriz, Paula, in Table 6), which they consider that corresponded to their interests and improved their professional performance. In addition, Naomi indicates that curricula content was “approached in a clear, objective and attractive way” with “informative and precise materials” and with the support of the educators. Additionally, besides “professional enrichment” as described by teacher Alcina, Beatriz refers to “different ways of approaching certain topics” that she did not “put into practice” before, which means that she did not use this approach before, therefore she had the opportunity to learn and practice. Moreover, she recognizes that this “innovative approach” promotes students’ interest. Indeed, this is related to innovation in the approach of the PDP that promotes innovation in teachers practices and has impact on students. Furthermore, Beatriz highlights the collaborative environment of the workshops and the knowledge it provided to “reach students”. In fact, she refers that she gained knowledge and autonomy to implement an approach more motivating to students. Teacher Mary also refers to new resources and different pedagogies that improved her knowledge and performance. Paula mentions improvements in her knowledge and confidence about STEM contents (“more secure”) and the collaborative work that provided “new ideas, technologies and tools”. In addition, Paula states that she “will continue to implement the knowledge and practices” acquired in training. Based on these perceptions, it is verified that teachers refer that they improved their knowledge, confidence and performance regarding the approach implemented in the PDP, which is crucial for them to develop these practices in class. In fact, as referred by [37], teachers’ beliefs and perceptions will influence their STEM instruction.
Regarding the online context of the workshops, teachers made positive comments such as “it still allowed the exposition of doubts, the participation and interaction in the activities, the deepening of new knowledge and the sharing among the trainees” (Beatriz); “I was always motivated despite not being face-to-face” (Olinda); “was fundamental and added value, for a better understanding of the subjects addressed and their application” (Cristal); “the work of the trainers was exceptional, having put us at ease and motivated to the issues in question” (Catherine). Indeed, Beatriz refers to innovation in her practices, namely regarding interdisciplinarity related to STEM education. Cristal highlights the importance of “synchronous sessions” to provide knowledge about STEM subjects and Catherine refers to the “exceptional” work of the educators.
Based on teachers’ testimonies (Table 6) and on the results of the answers to question Q4 (Table 5), it is concluded that, although being online workshops, teachers found the approach of the educators appropriate and that it was a worthwhile PDP. This feedback from teachers is important to conclude that it is important to continue to promote their professional development, even without face-to-face workshops.
Elisa is a Mathematics and Natural Sciences teacher whose case study will be presented in the next subsection. Like the other teachers, she participated in the PDP in the school year 2020/2021 and lectured two 6th grade classes with 26 and 19 students each. Given the COVID-19 pandemic scenario, this was one of the topics addressed on the workshops. For example, how to use mathematics for students to understand various virus transmission scenarios. In her final report, Elisa refers to the importance of promoting an interdisciplinary approach of STEM education and her expectations about the PDP:
The theme is too important to update the trainee’s knowledge as a teacher at the 2nd cycle of elementary education, making this PDP a real training opportunity.
(…) the trainee’s initial expectation was that she would certainly enjoy different and innovative experiences, as is typical of the activities promoted by most higher education institutions.
(Elisa, Final report, 2021 January)
In the above citation, it is possible to understand that Elisa recognizes the importance of the contents approached in the PDP and that she had high expectations about “different and innovative experiences” because the PDP was implemented by a higher education institution. Concerning the online format of the PDP, she refers that:
(…) all contents were fully complied with, the different scheduled workshops were developed in synchronous sessions, via the Zoom platform, and no constraints resulted from this.
There is no question that certain face-to-face experiences would be more fruitful. However, the content approach, in the different sessions, was completely appropriate to the context in which we are living.
(Elisa, Final report, 2021 January)
As referred above, although Elisa considers that face-to-face activities are more fruitful, she also considers that the approach used by the educators on the online workshops of the PDP “was completely appropriate” and “no constraints resulted from this”.
In summary, regarding the context of the PDP, despite being an online format, it was verified that teachers recognize the importance of the contents and the approach introduced in the workshops with live demonstrations and interactive computer screensharing activities. Furthermore, the PDP contributed to new knowledge and innovative practices in the classroom that motivate students to learn.

4.2. Teacher Elisa Case Study: Tasks Implemented in Two 6th Grade Classes in the Context of COVID-19 Pandemic

Teacher Elisa discussed with the facilitator of the PDP (first author of this paper) several possibilities of activities that could be implemented in her class. She mentioned several times that she wanted the activities to be within the curriculum she was teaching and to have meaning for her students. After several proposals by the educators and discussion, she finally opted for one of the proposals with an interdisciplinary approach in the context of the COVID-19 pandemic. One goal was to use mathematics to help interpret and predict the evolution of the pandemic according to various possible contagion scenarios. Inspired by the [45] paper, Elisa planned and developed several tasks to be implemented in classes with different curricular unities: Natural Sciences, Mathematics and Information and Communication Technologies (ICT).
In a first stage, she started by introducing the COVID-19 theme in the Natural Sciences class because the virus context is part of the curricular contents of this discipline, in the field of Environmental Aggressions and Integrity of the Organism. However, Elisa felt that her students did not fully understand how the virus spread and why this pandemic had such an impact on our lives that isolation measures had to be taken.
In a second stage, she developed several tasks to be implemented in the Mathematics classes. Table 7 describes some possible scenario of infection proposed to the students to help them understand the reason for the need of confinement isolation situations.
In task 1, Elisa explained that it would be considered the scenario where “Each student infects two colleagues” and that “Sick students are isolated at home and no longer infect colleagues”. She also constructed a grid with 12 lines and 12 columns, where each square represents one student from a school (Figure 1). In addition, a table with the “Day” in the first column, the “Number of students who gets sick” in the second column and the “Total number of sick students” in the third column was constructed (Table 8). After, she asked the students to start painting the number of sick students on the grid:
Imagine that each square on a grid (Figure 1) represents a student from a school. One day, which we will call day 1, one of the students becomes sick with COVID-19. Represent him, painting a red square on the grid.
She also asks students to fill in Table 8 with the following information:
Fill in the table, with the information about the “Number of students who gets sick” (Column 2) and the “Total number of sick students” (Column 3). For example, on day one, you write one on both columns.
Next, she gives information about how the sick student infects the others:
Let us now assume that each sick student will infect two students on average (To say that it is on average means that it may be that only one person infects one colleague, but there is another that infects three, and therefore, on average, each person infects two colleagues). So, the next day, day 2, there are two more students with COVID-19 who were infected by the first student with this disease; in all, there are already three sick students. Therefore, paint two more squares on the grid, and fill in the table with this information: on day two, two in column two and three in column three.
Elisa asks students to continue:
Again, sick students are isolated at home and no longer infect colleagues. Now, each of these two students is going to infect two other colleagues, and on the third day, there are four more sick students. Therefore, paint four more squares on the grid, and fill in the table with this informatio
Next, she asks several questions:
(a)
If each of these students now infects two more colleagues, how many new students will be infected on the 4th day?
(b)
And what is the total number of sick students?
(c)
In what day is everyone sick?
(d)
What if the school had 1000 students, after how many days would all students be sick?
(e)
Can you write the numbers of column two in powers of two?
Table 9 is filled with the numbers until the day where all the squares on the grid (Figure 1) are red, which means that all 144 students are sick. As can be seen, on the 8th day, all students will be sick with COVID-19, in a school with a number of students bigger than 127 and smaller or equal to 255 students.
From 45 students from two classes of teacher Elisa, almost all presented the results as stated on Table 8. Only two students, one from each class, considered that the school only had 144 students, and for this reason, on the 8th day, only 17 students get sick, and the total number of sick students is 144 (Figure 2, table on the left).
Below follows the answer of one of these two students:
On the 8th day, only 17 students get sick because in total there are only 144 students and 127 students are already infected, so only 17 students are missing.
[Student A]
The same student also presented the table on the right of Figure 2 to answer that on the 10th day, all students from a school with 1000 students would be sick.
Another question asked by the teacher was to write the numbers in column two in powers of two. A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent. Based on this question, she explained to the students that “the growth of students sick with COVID-19 was exponential”.
The following figure gives examples of answers given by the students. On the left, the result given by most of the students and on the right one of the students who considered the total number of students on the school as 144.
On Figure 3, the powers on the right were written by the second student who had in account that the school had only 144 students. Next, his explanation is presented:
The double of 64 is 128 and thus only 17 non-infected students are left, so it is not possible to obtain a double of 128, so the remaining ones are infected (17 people).
The last student understood that, in column two, on each day, the number of students who gets sick is the double of the previous day but in the case of a school with 144 students, on the 8th day, it was not possible to consider the double because there only were 17 students left. This explanation means he has critical thinking. However, he could consider the example with more students as presented in the left.
After ending task 1, teacher Elisa introduced the next task as stated on Table 7:
You can think of a different situation. Imagine that each student infects three colleagues. After how many days are all students sick?
Use the previous procedure to make your observations and record them in Table 5.
The following figure gives examples of answers given by the students considering the scenario of infection presented in task 2 (Figure 4). On the right, the Table belongs to one of the students who considered the total number of students equal to 144, as stated by teacher Elisa, the student “remained faithful to the line of reasoning he had applied in the development of the previous task”.
At this stage, at least in the 6th B class, a high point of motivation of the students was visible in solving the task. The students were generally and visibly excited because they understood the situation they were experiencing.
(Elisa, Final report, 2021 January)
She continues, exemplifying students’ discourse:
“Now I understand, now I understand everything, this is so fast, contagion, … and we are not counting everyone, families are missing and other people who have contact with them!”
[Student C]
The student was immediately supported by his colleagues….
(Elisa, Final report, 2021 January)
The above citations show that the students did understand the “situation they are experiencing”, which is the COVID-19 pandemic, and recognized the problem of spreading the decease so fast. On the work sheet of task 2, Elisa asked several questions. Next, we present answers that students gave to the following question: Compare this result with the result you got when each student infected two students. What do you conclude?
I can conclude that the contagion of the students was faster in this situation, so much that they were all sick on the sixth day, two days earlier than in the past situation.
[Student D]
I conclude that if each student infects one more student, then the results would be drastic; for example, on day 5, in Table 1, there are 31 sick students. However, in Table 2, that same day, there would be 121 sick students.
[Student E] (Here, Table 1 is on Figure 2, and Table 2 is on Figure 4)
When each student infects three, there are many more infected students, and the growth is much more exponential.
[Student F]
Based on her observations, Elisa concludes about students’ perceptions:
Overall, the students realized the dimension of the problem, became more informed about its magnitude, and realized that, in reality, the processes are much worse than in the model studied.
(Elisa, Final report, 2021 January)
This conclusion is in line with one of her goals, which was to raise awareness and understanding about the need for confinement in the context of the COVID-19 pandemic. To reinforce this perception, she introduced the following task:
You certainly understood the evolution scenarios of COVID-19, which you analyzed in the previous tasks. Point out three reasons, of a social nature, for which confinement was necessary.
Next, some students’ answers are presented:
A person can infect more than one person and the disease will spread more easily. If everyone gets infected, doctors cannot treat everyone. We were confined to allow time for the vaccine to be made.
Confinement is important for the virus to infect fewer people in order not to infect more people. If we become contaminated, hospitals will be full. If we are confined, scientists will have more time to produce the vaccine.
The reason was because if we continued to live together, COVID would spread and the hospitals would be full, and they would not be able to treat everyone.
Prevent the disease from spreading further. Prevent further deaths. Hospitals would run out of beds.
Confinement is important to ensure social distance, that is, it avoids physical contact through kissing, hugging or even the simple touch and thus we control the spread of the virus. On the other hand, the fact that we are confined will greatly reduce large clusters of people, whether at work, in transport or in social gatherings.
In her report, Elisa explains the reflection with students on measures to be taken to prevent the COVID-19 pandemic:
In this task, the students reflected on the objectives pursued with confinement and social isolation as well as all the other rules that are suggested for the control of the pandemic.
In fact, based on students’ answers, it is possible to conclude that they understood the reasons for confinement, as intended by teacher Elisa.
Besides task 2 from Table 7, Elisa conducted tasks 3 and 4 from the same table. Next, we present how she introduces task 4:
To keep the situation under control, the likelihood of infecting someone must be less than one.
What does it mean “less likely to infect someone less than one”? After all, we cannot infect only half a person… You must think about the average again. It means, for example, that if there are ten sick people, they will infect less than ten other people, that is, every day the number of people who get sick is less than the number of people who got sick the day before.
Do the following experiment and proceed to the records in Table 4: it assumes that the probability of contagion remains always less than one and that, each day, the number of students who become ill is equal to the number of students who became ill the day before one less. Suppose that on the first day there are 10 sick students.
After how many days are there no students getting sick? (…) How many students became ill? (…)
The following figure gives examples of answers given by the students considering the scenarios of infection presented in tasks 4, where “Probability to infect someone is less than one” (Figure 5).
Next, we present the answers that a student gave to the questions asked by Elisa:
There are no students falling ill after 11 days.
55 students became ill.
And Elisa commented this task:
In this task, the students contacted with the term “probability” which became a concept of the 3rd cycle of elementary education.
Most students understood the situation in question. “Teacher, when will this happen”?
Elisa also used Excel files to illustrate what happens in the different scenarios over the days, which allowed the students to observe how quickly the numbers grew in cases where the probability of infecting someone was greater than one. On the other hand, when it was less than one after some days, no one else will be sick (Figure 6).
Elisa decided to end this theme consolidating knowledge of Natural Sciences that she thought had not been well assimilated at the beginning of the school year:
To complete the task around Dr. Providência’s article [45], students completed a text of gaps mobilizing knowledge on the topic “Microorganisms” that were the target of exploration, in the Natural Sciences classes and evaluated in tests and where some weaknesses had been seen. In this way, it functioned as a moment of knowledge recovery/consolidation.
(Elisa, Final report, 2021 January)
Figure 7 shows the text with the gaps filled in by one of the students.
Translation of the text:
COVID-19 is a disease caused by a virus called Sars-CoV-2. In order to reproduce, it needs to infect a host cell. The details of this microorganism were only possible to know, thanks to a device that physicists developed to see the infinitely small, called an electron microscope.
Table 10 shows STEM contents included in the tasks developed and implemented by teacher Elisa.
With regard to implications on her future practices, Elisa refers that:
The trainee considers that the frequency of this training, from now on, will have implications for the preparation of her classes. She will seek to intensify her teaching practice with experiences that require the mobilization of different areas of knowledge and will lead her students to a better articulation of knowledge, promoting as much as possible the development of the ability to reason, communicate and defend points of view in all students.
(Elisa, Final report, January 2021)
In her final report, Elisa referred to the impact on her classes and on the students:
The trainee feels quite satisfied with the work she developed, firstly, because she realized that her students were very motivated, that they adhered to the proposed tasks, there was even an unusual frenzy, especially in class B and some students verbalized that the task allowed them to understand the frightening spread of the virus that plagues us.
In fact, Elisa recognizes motivation in her students who finally understood “frightening spread of the virus”. Although she already introduced this theme previously, she reinforces that it was with these tasks that students understood the need for measures to prevent propagation of the disease:
It should be noted that the trainee at the time of application of the activity had already taught the content of “Microorganisms” and obviously had contextualized and integrated the whole problem of the pandemic, but it was with the activity “When will everyone be sick?” that students understood the reason for the rules to which we are/are subject to limit the spread of the disease.
Additionally, the teacher highlights the interdisciplinary approach provided in the tasks she implemented in class:
On the other hand, the interdisciplinary aspect of the task allowed the articulation of the disciplines of Natural Sciences, Mathematics and Information and Communication Technologies and, thus, to participate in the Domain of Curricular Autonomy and Flexibility, as well as in the School Project.
Finally, Elisa identifies the importance of implementing this approach with students to better prepare them to the real-world challenges as stated in the literature. Moreover, she intends to keep participating in this type of PDP:
In today’s world, full of complex challenges, the development and integration of multiple literacies, inspired by real situations, will certainly allow for more meaningful learning in which talent, individual qualification, the scientific system and democratic citizenship are strengthened. We are grateful for the opportunity, and we await other formative moments of undeniable value.
In summary, the teacher Elisa case study exemplifies the implementation of interdisciplinary tasks related to STEM (Table 10), with real-world problems such as the COVID-19 pandemic.

5. Discussion and Conclusions

Promoting an integrated approach of STEM education with real-life scenarios is crucial to motivate students to learn and to better prepare them to understand and solve real-world problems [3,4,5]. However, this requires innovation in teachers’ practices, which is a big challenge for teachers who need professional development to gain knowledge and skills to succeed at this approach [1,2,8,9,39], namely to highlight the role of mathematics [20,21]. In addition, according to Margot and Kettler [39], teachers reported several issues concerning STEM education, such as lack of subject matter knowledge, lack of teacher support and lack of instructional resources, including inadequate training which compromises the implementation of this approach.
This paper presents an integrated approach of STEM education developed in the context of a collaborative PDP and implemented in an exclusive online context, because of the COVID-19 pandemic. The literature refers to the need for developing systems of teacher support and collaboration to introduce new pedagogies [40], with an emphasis on in-service teachers’ professional development. The PDP presented in this paper provided teachers with knowledge and skills to introduce STEM education in schools through support and collaboration among educators and teachers, which can be an example for others who intend to reproduce this approach, namely online.
Although some teachers mentioned their preference for face-to-face workshops, they also recognized the relevance of the online format (Table 6), where the hands-on experiments were exemplified through videos and live sessions with the teachers. In addition, they referred that the programme corresponded and exceeded their expectations concerning its structure, contents, creativity, collaboration, innovation and improvement in teachers’ practices. Moreover, teachers revealed interest, enthusiasm and motivation regarding the contents provided in the workshops of the PDP and indicated that they gained new knowledge that will have impact on their practices. Furthermore, they mentioned that promoting interdisciplinarity with several subject matters and resorting to real-world scenarios is more motivating to students and contributes to promote their interest to learn. This is in line with the literature that recommends that this approach improves students significative learning and consequently their learning achievement [27,31,36,37]. These teachers’ beliefs and perceptions are important because, as mentioned by [39], they will influence teachers STEM instruction.
Therefore, an exclusive online PDP can provide teachers with knowledge, and also can engage and motivate them to innovate their practices as required in an effective PDP [39]. Moreover, several teachers, who participated in this study, developed interdisciplinary tasks related to STEM contents and implemented them in class. Due to the current scenario of the COVID-19 pandemic, the teacher Elisa case study was chosen to exemplify the implementation of STEM integrated tasks based on a real-world scenario. It was verified that she did develop STEM practices within an authentic context for the purpose of connecting these subjects to enhance student learning as stated by Kelley and Knowles [15]. In fact, she used the real scenario of the COVID-19 pandemic with the aim of introducing tasks with meaning for her students and related to the curricula of Natural Sciences, Mathematics and Information and Communication Technologies. Moreover, the teacher achieved one of her initial objectives, which was to make students understand the dissemination of the disease and to be aware of the need for measures to face the pandemic. Furthermore, Elisa recognized that it was based on this approach that students finally understood the problem of exponential grow of infection and the impact on real life, and consequently the need for isolation or vaccination measures. Additionally, she identified critical thinking skills and significative learning because of this initiative. Her conclusion is in line with [37], who states that a strategic approach of STEM education provides students with higher levels of critical thinking skills, improves problem solving skills and also increases learning retention. Moreover, relevant interdisciplinary learning environments were provided as recommended by some authors [27,36]. In fact, Elisa highlights the interdisciplinary tasks she implemented in class and the importance of implementing this approach with real-life scenarios that provides students with meaningful learning and better prepares them for the real-world challenges. In summary, the teacher Elisa case study exemplifies the implementation of interdisciplinary tasks related to STEM (Table 10), with relevant real-world problems, such as the COVID-19 pandemic, as recommended in the literature [15].
Furthermore, based on Aguilera et al.’s [8] and Vasquez et al.’s [26] theoretical framework for STEM education, tasks developed by Elisa are between the second and third level. In fact, the learning goals transcend the individual disciplines, are curriculum oriented (interdisciplinary) and, also, focus on a real-world problem and are oriented towards social implications (transdisciplinary). Indeed, the real real-world problem of the COVID-19 pandemic, caused by coronavirus SARS-CoV-2, was approached, in order to make students understand the phenomena, namely several scenarios of infection. In addition, social implications were discussed such as the need for measures to prevent or minimize the problem. Elisa was able to prepare and implement STEM tasks highlighting the role of mathematics for her students to understand this problem, which was successful, because it was based on these tasks that students finally understood the pandemic, which did not happen before when the subject was approached in the science class. Therefore, it was the STEM approach that promoted meaningful learning in students.
Based on this research, it was verified that it is possible to operationalize an exclusive online PDP in STEM education that motivates teachers and improves their knowledge and skills to implement STEM hands-on practices in class. In addition, teachers recognize the importance of resorting to relevant real-world scenarios because it increases students’ motivation to learn. Finally, the teacher Elisa case study exemplifies a strategy to implement integrated STEM hands-on tasks in class, based on real-world scenarios, as is the case of the COVID-19 pandemic, which is an approach that promotes students’ meaningful learning.
Regarding the limitations of this study, more research needs to be provided about the efficacy of online PDP formats regarding hands-on STEM education approach, namely in other levels of school such as secondary school.

Author Contributions

Conceptualization, M.C.C., A.M.D.D. and V.D.T.; methodology, M.C.C., A.M.D.D., V.D.T. and É.M.R.G.V.; validation, M.C.C., A.M.D.D., V.D.T. and É.M.R.G.V.; formal analysis, M.C.C. and A.M.D.D.; investigation, M.C.C., A.M.D.D. and V.D.T.; resources, M.C.C., A.M.D.D., V.D.T. and É.M.R.G.V.; data curation, M.C.C., A.M.D.D., V.D.T. and É.M.R.G.V.; writing original draft preparation, M.C.C.; writing—review and editing, M.C.C., A.M.D.D. and V.D.T.; visualization, M.C.C., A.M.D.D., V.D.T. and É.M.R.G.V.; project administration, M.C.C. and A.M.D.D.; funding acquisition, A.M.D.D. All authors have read and agreed to the published version of the manuscript.

Funding

This work is supported by national funds through FCT—Foundation for Science and Technology, I. P., in the context of the project PTDC/CED-EDG/32422/2017.

Acknowledgments

The authors thank all teachers who participated in the professional development programme.

Conflicts of Interest

The authors declare that they have no competing interest.

Abbreviations

STEM: Science, Technology, Engineering and Mathematics; PDP: Professional Development Programme; MEC: Ministério da Educação [Ministy of Education]; DGE: Direção-Geral da Educação [General Directorate of Education].

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Figure 1. Grid where each square represents one student at a school.
Figure 1. Grid where each square represents one student at a school.
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Figure 2. Each student infects two colleagues.
Figure 2. Each student infects two colleagues.
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Figure 3. Writing the numbers in column two in powers of two.
Figure 3. Writing the numbers in column two in powers of two.
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Figure 4. Each student infects three colleagues. During this task, teacher Elisa observed some excitement in her students.
Figure 4. Each student infects three colleagues. During this task, teacher Elisa observed some excitement in her students.
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Figure 5. Probability to infect someone is less than one.
Figure 5. Probability to infect someone is less than one.
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Figure 6. Examples of Excel files.
Figure 6. Examples of Excel files.
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Figure 7. Text of gaps, filled by one student, on the topic “Microorganisms” explored, in the Natural Sciences classes.
Figure 7. Text of gaps, filled by one student, on the topic “Microorganisms” explored, in the Natural Sciences classes.
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Table 1. Teachers’ workshops of the PDP in the school year 2020/2021.
Table 1. Teachers’ workshops of the PDP in the school year 2020/2021.
WorkshopsDateDuration
Introduction to STEM education. SolarSystemGO: Journey through the Solar System1/10/20202 h 30 min
Science in the world around us. Sustainable Development Goals15/10/20202 h 30 min
Technologies and modeling in mathematics5/11/20203 h
Discover the mysteries of sound26/11/20203 h
Methodologies and sharing of good practices in STEM education28/01/20212 h
Table 2. Age of the teachers who participated in the workshop.
Table 2. Age of the teachers who participated in the workshop.
Age Range≤3030–4040–5050–5555–60
Frequency0 (0.0%)1 (7.0%)5 (38.0%)5 (38.0%)2 (15.4%)
Table 3. Distribution of the teachers by the grade level they teach (ES—Educational Support).
Table 3. Distribution of the teachers by the grade level they teach (ES—Educational Support).
Grade Level1st2nd3rd4th5th6thES
1st to 4th
Frequency2
(15.4%)
2
(15.4%)
3
(23.1%)
3
(23.1%)
0
(0.0%)
2
(15.4%)
1
(7.7%)
Table 4. Questions of the questionnaire.
Table 4. Questions of the questionnaire.
QuestionTypeMain Result
Q1Is the STEM approach proposed in the PDP more motivating for students’ learning?Likert scale13 (100%) for ≥ “High”
Q2Do you think it is important to obtain training in the areas covered in the PDP?Likert scale 13 (100%) for ≥ “High”
Q3Was attending this PDP useful for your classroom practices?Likert scale12 (92.3%) for ≥ “High”
Q4Was the online format, with demonstrative videos and interactive sessions to teach how to use the resources proposed through screen sharing in the Zoom platform, adequate?Likert scale12 (92.3%) for ≥ “High”
Table 5. Frequency of the answers to the questions with a five-point Likert scale.
Table 5. Frequency of the answers to the questions with a five-point Likert scale.
Very LittleLittleMore and LessHighVery High
Q1 2 (15.4%)11 (84.6%)
Q2 1 (7.7%)12 (92.3%)
Q3 1 (7.7%)2 (15.4%)11 (76.9%)
Q4 1 (7.7%)3 (23.1%)10 (69.2%)
Table 6. Dimensions of teachers’ perceptions about the PDP in the school year 2020/2021.
Table 6. Dimensions of teachers’ perceptions about the PDP in the school year 2020/2021.
DimensionExcerptTeacher
Motivation and expectationsAll the contents were fulfilled in an interesting way and exceeded my expectations.Olinda
It was a training course that I enjoyed attending and that met the expectations I had at the beginning, having even exceeded those expectations.Beatriz
My expectation was to help and facilitate students to overcome their difficulties as well as to influence their enthusiasm and creativity.Paula
Online formatI was always motivated despite not being face-to-face, which would be much more interesting (…) the topics covered corresponded to my interests (even if online).Olinda
Although this training was online, it still allowed the exposition of doubts, the participation and interaction in the activities, the deepening of new knowledge and the sharing among the trainees.Beatriz
Due to the current situation in which we live, training was taught at a distance, with synchronous sessions, which was fundamental and added value, for a better understanding of the subjects addressed and their application, as it provided trainees to share the screen and view all the work done and so answer/clarify doubts in the elaboration of each trainee’s projects.Cristal
Despite the difficulties inherent in promoting online training, I believe that the work of the trainers was exceptional, having put us at ease and motivated to the issues in question.Catherine
(…) all contents were fully complied (…) in synchronous sessions, via the Zoom platform, and no constraints resulted from this.Elisa
Workshops and curricula contentsThe contents were all approached in a clear, objective and attractive way.Naomi
This action provided professional enrichment (…) in an interdisciplinary way, in the scope of several curricular areas.Alcina
The various workshops on the different science topics (…) transmitting to us the need to invest in an innovative approach to curricular themes, and in the classroom context (…) This training became very interesting, as it encouraged us to innovate and showed us different ways to promote interdisciplinarity.Beatriz
Impact of the PDP in teachersThe topics and learning content that were addressed allow me to improve my professional performance.Beatriz
(…) workshops provoked a great interest and enthusiasm in the trainees in wanting to do, and in wanting to experiment with their students what they learned.Paula
This action provided professional enrichment (…) in an interdisciplinary way, in the scope of several curricular areas, and innovation in the strict practical sense of the development of classes.Alcina
(…) transmitting to us the need to invest in an innovative approach to curricular themes, and in the classroom context.Beatriz
Each workshop allowed us to acquire and develop different knowledge, showing us a very motivating way to reach students.Beatriz
(…) it allowed me to visualize different ways of approaching the various themes as it extended my knowledge to improve my professional performance.Mary
My evolution was significant, feeling more secure regarding the contents of the PDP (…) In the future, I will continue to implement the knowledge and practices I acquired in training.Paula
(…) the frequency of this training, from now on, will have implications for the preparation of my classes.Elisa
Innovative practicesThis action provided professional enrichment, new perspectives of approach in the teaching-learning (…) innovation in the strict practical sense of the development of classes.Alcina
(…) different ways of approaching certain topics that I had not yet put into practice.Beatriz
(…) the use of new technological tools/instruments.Mary
(…) exploration and use of new ideas, technologies and tools.Paula
Collaborative environment
among teachers and educators
The trainers used quite informative and precise materials, about what was intended to be addressed. The questions or doubts raised by the trainees were promptly clarified.Naomi
(…) it allowed us to deepen new knowledge and share experiences, in an environment of mutual help between trainees.Beatriz
(…) the collaborative work developed with colleagues and trainers was important with regard to the exploration and use of new ideas, technologies and tools.Paula
Impact in students(…) captivate students, resulting in the extraordinary interest they revealed and very determined to carry out the proposed tasks (…) very motivating way to reach students (…) working with students, in order to give them new methodologies in the teaching of mathematics, science and technology.
(…) contribute to the success of students’ learning
The students were generally and visibly excited because they understood the situation they are experiencing.
Overall, the students realized the dimension of the problem, became more informed about its magnitude (…).
Beatriz

Mary
Elisa
Table 7. Tasks implemented in the Mathematics classes.
Table 7. Tasks implemented in the Mathematics classes.
TasksScenario of InfectionBasic Number of Transmission
1Each student infects two colleaguesR0 = 2
2Each student infects three colleaguesR0 = 3
3Each student only infects one colleagueR0 = 1
4Probability to infect someone is less than oneR0 < 1
Table 8. Each student infects two colleagues.
Table 8. Each student infects two colleagues.
DayNumber of Students Who Gets SickTotal Number of Sick Students
000
111
2
Table 9. Each student infects two colleagues.
Table 9. Each student infects two colleagues.
DayNumber of Students Who Gets SickTotal Number of Sick Students
000
111
223
347
4815
51631
63263
764127
8128255
Table 10. STEM contents of the tasks implemented by teacher Elisa.
Table 10. STEM contents of the tasks implemented by teacher Elisa.
ScienceTechnologyEngineeringMathematics
Natural Sciences
Microorganisms
Disease spread
Pandemic
Computer
Internet
Wikipedia
Power Point
Excel.
Planning, designing and performing the activities.Powers
Exponential growth
Mathematical model
Variable
Iteration
Functions
Graphics
Organization of tables
and data visualization.
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Costa, M.C.; Domingos, A.M.D.; Teodoro, V.D.; Vinhas, É.M.R.G. Teacher Professional Development in STEM Education: An Integrated Approach with Real-World Scenarios in Portugal. Mathematics 2022, 10, 3944. https://doi.org/10.3390/math10213944

AMA Style

Costa MC, Domingos AMD, Teodoro VD, Vinhas ÉMRG. Teacher Professional Development in STEM Education: An Integrated Approach with Real-World Scenarios in Portugal. Mathematics. 2022; 10(21):3944. https://doi.org/10.3390/math10213944

Chicago/Turabian Style

Costa, Maria Cristina, António Manuel Dias Domingos, Vítor Duarte Teodoro, and Élia Maria Rodrigues Guedes Vinhas. 2022. "Teacher Professional Development in STEM Education: An Integrated Approach with Real-World Scenarios in Portugal" Mathematics 10, no. 21: 3944. https://doi.org/10.3390/math10213944

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