Pub Date : 2023-02-24DOI: 10.17648/acta.scientiae.7165
Patricia Vásquez, Jaime Mena Lorca, Elisabeth Ramos Rodriguez
Context : One of the most relevant tasks of mathematics education is the teaching professional development (TPD) of mathematics teachers. In higher education, it is evident that the type of teaching in mathematics courses for engineering has not been transformed despite the changes that the curriculum has undergone. Objective : To show the design stage of a teaching experiment in relation to professional development programmes for higher education mathematics teachers who teach engineering careers, created under the principles that guide such effective improvements. Design : Through a qualitative approach, we chose the design-based research to design a TPD programme for university teachers who teach mathematics in an Engineering College, whose training is aimed at teachers of basic sciences and mathematics for engineering, attending to the changes required by the 21 st -century teaching. Environment and participants : With the eight principles of effective TPD programmes and the ALaCT process, cycles of reflection are planned to train university teachers. Data collection and analysis : A teaching experiment for effective TPD is designed. This design considers situations created by the experts and those presented by the participating teachers. Results : The situations that the participants face will allow them to have a series of problems for their teaching, with their justifications in the field of mathematics didactics. Conclusions : The different stages of the ALaCT reflection cycle allow the experts to install the reflection in the teachers participating in the experiment. One of the main difficulties was counting on the process of teaching and learning linear algebra problems brought by the participants.
{"title":"Elements for the Design of a Teaching Experiment for Mathematics Teachers in Engineering Careers","authors":"Patricia Vásquez, Jaime Mena Lorca, Elisabeth Ramos Rodriguez","doi":"10.17648/acta.scientiae.7165","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7165","url":null,"abstract":"Context : One of the most relevant tasks of mathematics education is the teaching professional development (TPD) of mathematics teachers. In higher education, it is evident that the type of teaching in mathematics courses for engineering has not been transformed despite the changes that the curriculum has undergone. Objective : To show the design stage of a teaching experiment in relation to professional development programmes for higher education mathematics teachers who teach engineering careers, created under the principles that guide such effective improvements. Design : Through a qualitative approach, we chose the design-based research to design a TPD programme for university teachers who teach mathematics in an Engineering College, whose training is aimed at teachers of basic sciences and mathematics for engineering, attending to the changes required by the 21 st -century teaching. Environment and participants : With the eight principles of effective TPD programmes and the ALaCT process, cycles of reflection are planned to train university teachers. Data collection and analysis : A teaching experiment for effective TPD is designed. This design considers situations created by the experts and those presented by the participating teachers. Results : The situations that the participants face will allow them to have a series of problems for their teaching, with their justifications in the field of mathematics didactics. Conclusions : The different stages of the ALaCT reflection cycle allow the experts to install the reflection in the teachers participating in the experiment. One of the main difficulties was counting on the process of teaching and learning linear algebra problems brought by the participants.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47481968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-22DOI: 10.17648/acta.scientiae.7363
Ivan Andrés Padilla Escorcia, Jenny Patricia Acevedo Rincón, M. Montes
Background: The study of the knowledge of the mathematics teacher has focused attention on differentiating mathematics preservice teachers from other types of professionals who know the area to establish specific characteristics that can identify the professional licensed for the teaching of mathematics. Objectives: To characterise the specialised knowledge of the teacher who incorporates information and communication technologies (ICT) in the teaching of mathematics using modelling. Design: Qualitative research based on an instrumental case study. Setting and participants: The study is carried out in a secondary basic education course, with a teacher with training and experience in teaching mathematics with technological resources. Data collection and analysis : The analyses focused on three subdomains of the mathematics teacher’s specialized knowledge model, namely: knowledge of the topics, knowledge of mathematical practices, and mathematical knowledge for teaching, by adapting indicators to the categories of knowledge of these subdomains, integrated with aspects of modelling. Results: The relationships that arise between categories of the subdomains were found and are evidence of the need for the teacher who teaches mathematics to know the subject discipline in depth and to relate it to their didactic-pedagogical knowledge to develop mathematical modelling processes using the ICTs. Conclusions: The construction of knowledge indicators of the KoT, KMP, and MKT allowed us to understand and interpret the specialised knowledge of the teacher when teaching conics, particularly, the circumference, through mathematical modelling with the specialised GeoGebra software.
{"title":"Specialised Knowledge of the Mathematics Teacher to Teach through Modelling using ICTs","authors":"Ivan Andrés Padilla Escorcia, Jenny Patricia Acevedo Rincón, M. Montes","doi":"10.17648/acta.scientiae.7363","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7363","url":null,"abstract":"Background: The study of the knowledge of the mathematics teacher has focused attention on differentiating mathematics preservice teachers from other types of professionals who know the area to establish specific characteristics that can identify the professional licensed for the teaching of mathematics. Objectives: To characterise the specialised knowledge of the teacher who incorporates information and communication technologies (ICT) in the teaching of mathematics using modelling. Design: Qualitative research based on an instrumental case study. Setting and participants: The study is carried out in a secondary basic education course, with a teacher with training and experience in teaching mathematics with technological resources. Data collection and analysis : The analyses focused on three subdomains of the mathematics teacher’s specialized knowledge model, namely: knowledge of the topics, knowledge of mathematical practices, and mathematical knowledge for teaching, by adapting indicators to the categories of knowledge of these subdomains, integrated with aspects of modelling. Results: The relationships that arise between categories of the subdomains were found and are evidence of the need for the teacher who teaches mathematics to know the subject discipline in depth and to relate it to their didactic-pedagogical knowledge to develop mathematical modelling processes using the ICTs. Conclusions: The construction of knowledge indicators of the KoT, KMP, and MKT allowed us to understand and interpret the specialised knowledge of the teacher when teaching conics, particularly, the circumference, through mathematical modelling with the specialised GeoGebra software.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48100270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-22DOI: 10.17648/acta.scientiae.7441
E. F. Alves, Débora Liemi Tanji, C. Zabini
Background: Currently, palaeontology professors have been challenged to update and incorporate innovative teaching approaches into their planning to help students develop the necessary skills and competencies. However, today there is a mismatch between the current and the ideal teaching profiles. Objective: To describe the palaeontology teaching profile in undergraduate courses in Brazil. Design: Descriptive and exploratory study. Setting and participants: Palaeontology professors (n=37) in undergraduate courses at several Brazilian higher education institutions. Data analysis collection: Data were collected through a semi-structured online form (survey), triangulated and categorised into (a) general characteristics, (b) teacher education, (c) teaching experience, (d) undergraduate courses, (e) curriculum, syllabus, and programme discussion meetings, (f) inter and multidisciplinarity, and (g) curriculum. Results: Despite the limited scope (small sample size), the study results guided the focus of the research and improvement efforts, as there are still many difficulties and challenges to be overcome to raise the quality of teaching in undergraduate palaeontology across the country. Conclusions: The data from this study can serve as a valuable basis for professors-researchers, educational managers, and policymakers interested in implementing innovative continuing education programmes and in supporting management and policy decisions regarding potential reforms of palaeontology teaching in Brazilian undergraduate courses in higher education institutions.
{"title":"The Profile of Palaeontology Teaching in Undergraduate Courses in Brazil","authors":"E. F. Alves, Débora Liemi Tanji, C. Zabini","doi":"10.17648/acta.scientiae.7441","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7441","url":null,"abstract":"Background: Currently, palaeontology professors have been challenged to update and incorporate innovative teaching approaches into their planning to help students develop the necessary skills and competencies. However, today there is a mismatch between the current and the ideal teaching profiles. Objective: To describe the palaeontology teaching profile in undergraduate courses in Brazil. Design: Descriptive and exploratory study. Setting and participants: Palaeontology professors (n=37) in undergraduate courses at several Brazilian higher education institutions. Data analysis collection: Data were collected through a semi-structured online form (survey), triangulated and categorised into (a) general characteristics, (b) teacher education, (c) teaching experience, (d) undergraduate courses, (e) curriculum, syllabus, and programme discussion meetings, (f) inter and multidisciplinarity, and (g) curriculum. Results: Despite the limited scope (small sample size), the study results guided the focus of the research and improvement efforts, as there are still many difficulties and challenges to be overcome to raise the quality of teaching in undergraduate palaeontology across the country. Conclusions: The data from this study can serve as a valuable basis for professors-researchers, educational managers, and policymakers interested in implementing innovative continuing education programmes and in supporting management and policy decisions regarding potential reforms of palaeontology teaching in Brazilian undergraduate courses in higher education institutions.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44950386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-11DOI: 10.17648/acta.scientiae.7135
Paula Verdugo Hernández, Jaime Huincahue, P. Cumsille, Assia Nechache
Background: The Mathematical Working Spaces (MWS) theoretical framework has developed a growing interest in how mathematical modelling is recognised, analysed, and articulated from its theoretical and empirical scopes. Given the articulations identified in the literature, it is interesting to determine whether new networks with the MWS provide powerful strategies for analysing mathematical modelling task resolution. Objective: to characterise the modelling activity from the network composed by the Blomhøj modelling cycle and the MWS in engineering students. Design: This work is a case study with a qualitative approach, which analyses the resolution of a modelling task through the proposed network. Setting and participants: The experimentation was carried out in an integral calculus course for a computer civil engineering career at a Chilean university. Modelling practices are not usual in this second-year subject, although enhancing their use in professional education is necessary. Data collection and analysis: We collected the written records of the students, selecting one to perform the in-depth analysis due to its high representativeness and clarity, as evidenced in the documents. Three steps were followed to characterise the modelling activity in the written record: description, analysis, and interpretation. Results: The Blomhøj modelling cycle might present connections with the MWS at the formulation of the problem and not only at the systematisation, which is a novelty in this field of research. Conclusions: A novel approach with which to develop the network between the MWS and modelling emerges, emphasising the investigation of mathematical problems using the student’s reality in higher education.
{"title":"Articulación entre Modelización y Espacios de Trabajo Matemático. Análisis de una Tarea bajo el ciclo de Blomhøj en Educación Superior","authors":"Paula Verdugo Hernández, Jaime Huincahue, P. Cumsille, Assia Nechache","doi":"10.17648/acta.scientiae.7135","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7135","url":null,"abstract":"Background: The Mathematical Working Spaces (MWS) theoretical framework has developed a growing interest in how mathematical modelling is recognised, analysed, and articulated from its theoretical and empirical scopes. Given the articulations identified in the literature, it is interesting to determine whether new networks with the MWS provide powerful strategies for analysing mathematical modelling task resolution. Objective: to characterise the modelling activity from the network composed by the Blomhøj modelling cycle and the MWS in engineering students. Design: This work is a case study with a qualitative approach, which analyses the resolution of a modelling task through the proposed network. Setting and participants: The experimentation was carried out in an integral calculus course for a computer civil engineering career at a Chilean university. Modelling practices are not usual in this second-year subject, although enhancing their use in professional education is necessary. Data collection and analysis: We collected the written records of the students, selecting one to perform the in-depth analysis due to its high representativeness and clarity, as evidenced in the documents. Three steps were followed to characterise the modelling activity in the written record: description, analysis, and interpretation. Results: The Blomhøj modelling cycle might present connections with the MWS at the formulation of the problem and not only at the systematisation, which is a novelty in this field of research. Conclusions: A novel approach with which to develop the network between the MWS and modelling emerges, emphasising the investigation of mathematical problems using the student’s reality in higher education.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47044974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-11DOI: 10.17648/acta.scientiae.7114
Karina Alessandra Pessoa da Silva, Adriana Helena Borssoi, Elaine Cristina Ferruzzi
Background: The integration of STEM areas (science, technology, engineering and mathematics) in engineering courses has been the focus of research in the educational context and mathematical modelling has the potential for its success. Objectives: The research question that guides the discussion is: What aspects of STEM education can be evidenced when engineering students develop mathematical modelling activities in a virtual environment within the scope of a Differential and Integral Calculus course? Design: Qualitative research carried out in the second half of 2020, based on research design guidelines, in the Differential and Integral Calculus subject during remote teaching. Setting and Participants: Virtual environment shared by two classes with 72 students from different courses for the development of a mathematical modelling activity. Data collection and analysis: Data from 18 groups were collected virtually from notes on the wiki, audio or video recordings of group meetings or orientation meetings, activity communication video and individual response to a questionnaire. The analysis was based on an initial coding of data from all groups, carried out with the support of AtlasTi, in which three groups were selected for a detailed analysis related to aspects of STEM education. Results: Some groups naturally integrate the four STEM areas and others carry out this integration in a partial way. Conclusions: The virtual environment made it possible for students to interact in their groups and collaborate with each other to solve a problem in a way that knowledge of basic sciences and mathematics were articulated.
{"title":"Integration of STEM Education in Differential and Integral Calculus classes: Aspects Evidenced in a Mathematical Modelling Activity","authors":"Karina Alessandra Pessoa da Silva, Adriana Helena Borssoi, Elaine Cristina Ferruzzi","doi":"10.17648/acta.scientiae.7114","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7114","url":null,"abstract":"Background: The integration of STEM areas (science, technology, engineering and mathematics) in engineering courses has been the focus of research in the educational context and mathematical modelling has the potential for its success. Objectives: The research question that guides the discussion is: What aspects of STEM education can be evidenced when engineering students develop mathematical modelling activities in a virtual environment within the scope of a Differential and Integral Calculus course? Design: Qualitative research carried out in the second half of 2020, based on research design guidelines, in the Differential and Integral Calculus subject during remote teaching. Setting and Participants: Virtual environment shared by two classes with 72 students from different courses for the development of a mathematical modelling activity. Data collection and analysis: Data from 18 groups were collected virtually from notes on the wiki, audio or video recordings of group meetings or orientation meetings, activity communication video and individual response to a questionnaire. The analysis was based on an initial coding of data from all groups, carried out with the support of AtlasTi, in which three groups were selected for a detailed analysis related to aspects of STEM education. Results: Some groups naturally integrate the four STEM areas and others carry out this integration in a partial way. Conclusions: The virtual environment made it possible for students to interact in their groups and collaborate with each other to solve a problem in a way that knowledge of basic sciences and mathematics were articulated.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42566329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-11DOI: 10.17648/acta.scientiae.7152
Gabriel Loureiro de Lima, Barbara Lutaif Bianchini, Eloiza Gomes
Background: The relevance of enabling beginning students of engineering courses to solve problems directly related to their future professional activities, already in the initial subjects of mathematics, implies the need to elaborate such problems, implement them and analyse their potential in terms of construction and application of mathematical knowledge in different contexts. Objectives: In this article, we analyse the cognitive dysfunctions evidenced by the students during the process of solving a problem articulating the real functions of a real variable to the study of the characteristic curve of a semiconductor diode, content linked to the analogical electronics. Design: This qualitative-nature investigation is characterised, as field research, of exploratory-descriptive combined type. Environment and participants: the research subjects, seven students in the first semester of an engineering course offered by a private institution in the state of São Paulo, with an interest in following the control and automation qualification, participated voluntarily in the study. Data collection and analysis: three synchronous meetings were held in remote modality. For data collection, we used audio and video recordings of the discussions and the written productions of the students in such moments. In this article, we present the analysis of the first meeting. Results: We evidenced, among other aspects, cognitive dysfunctions that can lead to obstacles in the transposition of mathematical knowledge to extra-mathematical contexts. Conclusions: The results obtained allow, in the future, the planning of adequate mediations so that the teacher can help the students to convert the identified dysfunctions into sufficiently developed cognitive functions.
{"title":"Contextualised Approach to Mathematics in Engineering from the Perspective of Cognitive Dysfunctions","authors":"Gabriel Loureiro de Lima, Barbara Lutaif Bianchini, Eloiza Gomes","doi":"10.17648/acta.scientiae.7152","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7152","url":null,"abstract":"Background: The relevance of enabling beginning students of engineering courses to solve problems directly related to their future professional activities, already in the initial subjects of mathematics, implies the need to elaborate such problems, implement them and analyse their potential in terms of construction and application of mathematical knowledge in different contexts. Objectives: In this article, we analyse the cognitive dysfunctions evidenced by the students during the process of solving a problem articulating the real functions of a real variable to the study of the characteristic curve of a semiconductor diode, content linked to the analogical electronics. Design: This qualitative-nature investigation is characterised, as field research, of exploratory-descriptive combined type. Environment and participants: the research subjects, seven students in the first semester of an engineering course offered by a private institution in the state of São Paulo, with an interest in following the control and automation qualification, participated voluntarily in the study. Data collection and analysis: three synchronous meetings were held in remote modality. For data collection, we used audio and video recordings of the discussions and the written productions of the students in such moments. In this article, we present the analysis of the first meeting. Results: We evidenced, among other aspects, cognitive dysfunctions that can lead to obstacles in the transposition of mathematical knowledge to extra-mathematical contexts. Conclusions: The results obtained allow, in the future, the planning of adequate mediations so that the teacher can help the students to convert the identified dysfunctions into sufficiently developed cognitive functions.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67735568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Context: The difficulty that students of Differential and Integral Calculus, in Engineering programs, show when dealing with the concept of function, one of the fundamental concepts of higher Mathematics, with countless applications in courses of the aforementioned programs. Objectives: To evaluate the contribution of a potentially meaningful teaching unit to promote learning of first-degree polynomial, exponential and logarithmic functions, and to evaluate Engineering students’ learning, through conceptual maps. Design: A potentially meaningful teaching unit of concepts related to first-degree polynomial, exponential and logarithmic functions was applied. The research is based on the Meaningful Learning theory. Scenario and participants: Five Pre-calculus students from Engineering programs at a community university in Rio Grande do Sul. Data collection and analysis: Data collection took place through initial and final assessment instruments, in addition to questionnaires and conceptual maps, during the students' participation in an extracurricular activity, with analysis of the conceptual maps based on an adaptation of Cañas and co-workers’ Topological Taxonomy. Results: The results showed that the adopted methodology has the potential to promote meaningful learning in the context of Engineering Education and that conceptual maps are reliable tools for assessing learning. Conclusion: it is possible to claim, that the first-degree polynomial, exponential and logarithmic functions, once worked in a contextualized way, help in the understanding of different concepts and contribute to the occurrence of a meaningful learning, whenever there are learning conditions for such, which requires considering the students' prior knowledge, in addition to their interest in learning.
{"title":"Conceptual Maps: A Tool for Assessing the Meaningful Learning of Engineering Students in a Pre-Calculus Course","authors":"Valquíria Villas Boas, Bruna Cavagnoli Boff, Laurete Zanol Sauer","doi":"10.17648/acta.scientiae.7178","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7178","url":null,"abstract":"Context: The difficulty that students of Differential and Integral Calculus, in Engineering programs, show when dealing with the concept of function, one of the fundamental concepts of higher Mathematics, with countless applications in courses of the aforementioned programs. Objectives: To evaluate the contribution of a potentially meaningful teaching unit to promote learning of first-degree polynomial, exponential and logarithmic functions, and to evaluate Engineering students’ learning, through conceptual maps. Design: A potentially meaningful teaching unit of concepts related to first-degree polynomial, exponential and logarithmic functions was applied. The research is based on the Meaningful Learning theory. Scenario and participants: Five Pre-calculus students from Engineering programs at a community university in Rio Grande do Sul. Data collection and analysis: Data collection took place through initial and final assessment instruments, in addition to questionnaires and conceptual maps, during the students' participation in an extracurricular activity, with analysis of the conceptual maps based on an adaptation of Cañas and co-workers’ Topological Taxonomy. Results: The results showed that the adopted methodology has the potential to promote meaningful learning in the context of Engineering Education and that conceptual maps are reliable tools for assessing learning. Conclusion: it is possible to claim, that the first-degree polynomial, exponential and logarithmic functions, once worked in a contextualized way, help in the understanding of different concepts and contribute to the occurrence of a meaningful learning, whenever there are learning conditions for such, which requires considering the students' prior knowledge, in addition to their interest in learning.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47949026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-11DOI: 10.17648/acta.scientiae.7099
Jenny Patricia Acevedo Rincón, Elisabeth Ramos-Rodríguez
Background: Mathematical tasks for university teaching are generally of great cognitive demand, without thinking about the limitations they imply for their students. Objectives: To develop a theoretical analysis of the teaching limitations and cognitive demand of four tasks proposed for teaching calculus, specifically, the Fundamental Theorem of Calculus. Design: Qualitative paradigm, with a descriptive-interpretive approach, according to the nature of the data collected. Setting and Participants: The study is framed in a Colombian University, in the subject “Calculus II” for second-semester engineering students, where a professor designs the tasks to be implemented in this course. Data collection and analysis: The data correspond to the professor's lesson plans the statements of the main mathematical tasks within them. These plans were chosen based on availability and accessibility. A content analysis was conducted, considering as units of analysis the paragraphs or sets of paragraphs of the statement of each school mathematics task. Results: Most of the proposed tasks correspond to high cognitive demand (procedures with connections and mathematical construction) and only one was of low demand (memorisation). Moreover, each of the tasks presents its own cognitive demand and several learning constraints that, some of them, agree with the exposed literature. Conclusions: The work aims to have implications for higher education, since to think of a didactic proposal for a better approach to teaching is necessary to configure lesson plans that mobilise the learning of mathematics in engineering, but from the use of tasks with different cognitive demands, in which will vary from less to more, and lead to meaningful learning for the approach of new tasks.
{"title":"Fundamental Theorem of Calculus: Cognitive Demands and Learning Limitations on Mathematical Tasks","authors":"Jenny Patricia Acevedo Rincón, Elisabeth Ramos-Rodríguez","doi":"10.17648/acta.scientiae.7099","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7099","url":null,"abstract":"Background: Mathematical tasks for university teaching are generally of great cognitive demand, without thinking about the limitations they imply for their students. Objectives: To develop a theoretical analysis of the teaching limitations and cognitive demand of four tasks proposed for teaching calculus, specifically, the Fundamental Theorem of Calculus. Design: Qualitative paradigm, with a descriptive-interpretive approach, according to the nature of the data collected. Setting and Participants: The study is framed in a Colombian University, in the subject “Calculus II” for second-semester engineering students, where a professor designs the tasks to be implemented in this course. Data collection and analysis: The data correspond to the professor's lesson plans the statements of the main mathematical tasks within them. These plans were chosen based on availability and accessibility. A content analysis was conducted, considering as units of analysis the paragraphs or sets of paragraphs of the statement of each school mathematics task. Results: Most of the proposed tasks correspond to high cognitive demand (procedures with connections and mathematical construction) and only one was of low demand (memorisation). Moreover, each of the tasks presents its own cognitive demand and several learning constraints that, some of them, agree with the exposed literature. Conclusions: The work aims to have implications for higher education, since to think of a didactic proposal for a better approach to teaching is necessary to configure lesson plans that mobilise the learning of mathematics in engineering, but from the use of tasks with different cognitive demands, in which will vary from less to more, and lead to meaningful learning for the approach of new tasks.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45170270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-11DOI: 10.17648/acta.scientiae.7073
Alex Sandro De Castilho, A. Trevisan, Diego Marczal
Background: Due to the high failure rates in engineering courses, it is of fundamental importance to seek alternatives that minimise the difficulties that students entering Brazilian universities have in the disciplines of the area of mathematics. An alternative is to use learning objects (LO) that allow students to be aware of their errors and encourage them to formulate hypotheses and solve problem situations, aspects that are fundamental for the self-regulation of learning. Objectives: To present the conception and evaluation of an LO with feedback that allows the student to self-regulate their learning with regard to the concepts of mathematics necessary for differential and integral calculus. Design: The research is based on the design science research - DSR methodology. In the first stage, detailed in this article, we sought to present the relevance of the problem and the artefact’s design proposal and the first phase of assessing this design. Setting and Participants: The LO was submitted to an online assessment by seven mathematics teachers and two mathematics education researchers. Data collection and analysis: It was carried out through the transcription of the videos recorded during the assessment via Google Meet. Results: The experts pointed out the potentialities of the LO to diagnose and remedy/intervene before possible errors made by higher education newcomers. Conclusions: After the assessment, the artefact was restructured and improved following the specialists’ notes. The following steps of the research will be the implementation of the complete version of the Los, with questions that explore the strata of numerical, algebraic, and functional knowledge. We expect that the educational product of this research will help students with their mathematical difficulties in DIC.
{"title":"Conception of Learning Objects with Feedback for Self-Regulation of Learning Mathematical Concepts Necessary for Differential and Integral Calculus","authors":"Alex Sandro De Castilho, A. Trevisan, Diego Marczal","doi":"10.17648/acta.scientiae.7073","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7073","url":null,"abstract":"Background: Due to the high failure rates in engineering courses, it is of fundamental importance to seek alternatives that minimise the difficulties that students entering Brazilian universities have in the disciplines of the area of mathematics. An alternative is to use learning objects (LO) that allow students to be aware of their errors and encourage them to formulate hypotheses and solve problem situations, aspects that are fundamental for the self-regulation of learning. Objectives: To present the conception and evaluation of an LO with feedback that allows the student to self-regulate their learning with regard to the concepts of mathematics necessary for differential and integral calculus. Design: The research is based on the design science research - DSR methodology. In the first stage, detailed in this article, we sought to present the relevance of the problem and the artefact’s design proposal and the first phase of assessing this design. Setting and Participants: The LO was submitted to an online assessment by seven mathematics teachers and two mathematics education researchers. Data collection and analysis: It was carried out through the transcription of the videos recorded during the assessment via Google Meet. Results: The experts pointed out the potentialities of the LO to diagnose and remedy/intervene before possible errors made by higher education newcomers. Conclusions: After the assessment, the artefact was restructured and improved following the specialists’ notes. The following steps of the research will be the implementation of the complete version of the Los, with questions that explore the strata of numerical, algebraic, and functional knowledge. We expect that the educational product of this research will help students with their mathematical difficulties in DIC.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41278138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-11DOI: 10.17648/acta.scientiae.7244
Elias Antunes dos Santos, Marinez Cargnin-Stieler, Sergio Camargo
Background: Interdisciplinary pedagogical practices can enhance dialogues, including knowledge and possibilities to produce some impact on society and the labour world. Objectives: In general, students need practical activities involving their professional training area, and interdisciplinary pedagogical practices are described from a theoretical and practical perspective. Design: This research is based on studying documents produced by the students during ten semesters while studying physics in a civil engineering course. It is educational research of a qualitative nature with descriptive data. Setting and Participants: It presents the results of interdisciplinary pedagogical practices developed by students of the second and third semesters of the civil engineering course from 2015 to 2019 at the University of the State of Mato Grosso (UNEMAT). Data collection and analysis: The documents analysed were final reports, banners, photos, bulletin boards, teacher’s diaries, course plans, videos, and electronic mail. Among more than one hundred reports and banners, 24 reports were selected for this analysis. Results: When analysing the documents, it was possible to perceive that the students were involved in interdisciplinary pedagogical practices. Conclusions: After this analysis, we concluded that it is essential to bring together professors who teach classes in an undergraduate engineering course to involve students in interdisciplinary actions and reflect on this practice.
{"title":"Engineering Education: Interdisciplinary Pedagogical Practices in Civil Engineering","authors":"Elias Antunes dos Santos, Marinez Cargnin-Stieler, Sergio Camargo","doi":"10.17648/acta.scientiae.7244","DOIUrl":"https://doi.org/10.17648/acta.scientiae.7244","url":null,"abstract":"Background: Interdisciplinary pedagogical practices can enhance dialogues, including knowledge and possibilities to produce some impact on society and the labour world. Objectives: In general, students need practical activities involving their professional training area, and interdisciplinary pedagogical practices are described from a theoretical and practical perspective. Design: This research is based on studying documents produced by the students during ten semesters while studying physics in a civil engineering course. It is educational research of a qualitative nature with descriptive data. Setting and Participants: It presents the results of interdisciplinary pedagogical practices developed by students of the second and third semesters of the civil engineering course from 2015 to 2019 at the University of the State of Mato Grosso (UNEMAT). Data collection and analysis: The documents analysed were final reports, banners, photos, bulletin boards, teacher’s diaries, course plans, videos, and electronic mail. Among more than one hundred reports and banners, 24 reports were selected for this analysis. Results: When analysing the documents, it was possible to perceive that the students were involved in interdisciplinary pedagogical practices. Conclusions: After this analysis, we concluded that it is essential to bring together professors who teach classes in an undergraduate engineering course to involve students in interdisciplinary actions and reflect on this practice.","PeriodicalId":36967,"journal":{"name":"Acta Scientiae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44797284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：