A Sequence of Activities for Teaching Diophantine Equations: Possibility to Expand the Knowledge Base of Future Mathematics Teachers

2020 ◽  
Vol 22 (5) ◽  
pp. 207-225
Author(s):  
Marta Élid Amorim ◽  
Ruy César Pietropaolo ◽  
Maria Elisa Esteves Lopes Galvão ◽  
Angélica Da Fontoura Garcia Silva
Keyword(s):  
Knowledge Base ◽  
Mathematics Teachers ◽  
Diophantine Equations ◽  
Basic Education ◽  
Mathematical Object ◽  
Initial Teacher Education ◽  
Teaching Sequence ◽  
Data Collection And Analysis ◽  
The University ◽  
The Relationship

Context: One of the challenges in the initial of mathematics teachers is to articulate the contents studied in the disciplines at the university with the themes of Basic Education. Objectives: to analyse, in the light of the assumptions established by Ball, Thames, and Phelps, the knowledge base for the teaching of Diophantine Equations of a group of future mathematics teachers participating in an experience of a teaching sequence. Design: the principles of the Design Experiments methodology were observed. Environment and participants: The study involved a group of ten students of the Mathematics Teaching Degree Course of a campus of the Federal University of Sergipe. Data collection and analysis: We analysed the reflections of the group of undergraduates, written records and audio recordings, generated by the experience of a teaching sequence on Diophantine Equations, which explored the relationship between a content of the Theory of Numbers and themes that would be taught in Basic Education. Results: The results show that the experience of the sequence provided the group of undergraduates with reflections on the difficulties that Basic Education students may have in situations involving equations and on how teachers could help students overcome them. Conclusions: Throughout the process, we observed advances in the understanding of the mathematical object, expanding the teaching professional knowledge base of the participants on the subject. This study concluded that a broader focus on the discussions to be promoted in the initial teacher education is needed to include and emphasise the relationship between the contents seen in the specific disciplines of Mathematics and those that will be taught in Basic Education.

Teaching practicum and the development of professional and pedagogical knowledge

2020 ◽  
Vol 15 (1) ◽  
pp. 67-90
Author(s):  
Minerva Rosas ◽  
Verónica Ormeño ◽  
Cristian Ruiz-Aguilar
Keyword(s):  
Student Teachers ◽  
Qualitative Data ◽  
Thinking Skills ◽  
Pedagogical Knowledge ◽  
Critical Thinking Skills ◽  
Initial Teacher Education ◽  
Teaching Programme ◽  
Teaching Practicum ◽  
The University ◽  
The Relationship

To assess the progressive teaching practicums included in an English Teaching Programme at a Chilean university, 60 former student-teachers answered a questionnaire with both Likert-scale and open-ended questions. The issues assessed included the relationship between the progressive teaching practicums and the curriculum’s modules and sequence, and the skills developed while implementing innovation projects during the student-teachers’ two final practicums. Quantitative and qualitative data analyses allowed us to identify both strengths and weaknesses. The participants highlighted strengths in the areas of teaching strategies, critical thinking skills and professional and pedagogical knowledge. Among the weaknesses, they identified limited supervision and feedback, and diverging views on teaching education between the university and the schools as the most difficult to deal with. These findings may be useful for introducing improvements in Initial Teacher Education aimed at reducing problems and discrepancies and devising suitable induction processes.

The perspective of public schools mathematics teachers on their knowledge and teaching practice in connection with the BNCC

2021 ◽  
Vol 23 (6) ◽  
pp. 93-120
Author(s):  
Gilsimar Francisco de Souza ◽  
Paulo Tadeu Campos Lopes
Keyword(s):  
High School ◽  
Public Schools ◽  
Mathematics Teachers ◽  
Teaching Practice ◽  
Basic Education ◽  
Test Results ◽  
High School Mathematics ◽  
Data Collection And Analysis ◽  
Municipal Networks ◽  
Curricular Structure

Background: The curricular structure of Brazilian basic education has changed in recent years. With the promulgation of the National Common Curricular Base (BNCC) for elementary and high school education, there is a need to change the curricula of state and municipal networks, which takes place precisely with the actual implementation in schools. Objective: To understand the view of mathematics teachers on capacity and knowledge they must have for the effective application of the BNCC in the classroom considering all the requirements, especially the skills and competencies that contemplate the curricular base. Design: Applied work, with quantitative bias, as the work presents statistical analyses. Setting and participants: Twenty-four high school mathematics teachers of the state network of the municipality of Itumbiara-GO. Data collection and analysis: Questionnaire applied to mathematics teachers, with percentage and inferential analyses such as Cronbach’s Alpha and correlation test. Results: The teachers believe that they know well the specific competencies and skills required in mathematics and its technologies, but they do not know well other areas of the BNCC and feel very insecure about applying these concepts in class. Conclusions: We noticed that the teachers play a fundamental role in implementing the BNCC in schools successfully, requiring pedagogical support such as formative courses and teaching materials to help correct the knowledge gaps they have for that task.

scholarly journals TOURISM, BASIC EDUCATION AND UNIVERSITY EXTENSION: A REPORT OF EXPERIENCE

2021 ◽  
Vol 6 (2) ◽  
pp. 49-54
Author(s):  
Jislane Oliveira de Jesus ◽  
Estefan Araujo dos Santos ◽  
Rosana Eduardo da Silva Leal
Keyword(s):  
High School Students ◽  
Social Inclusion ◽  
Basic Education ◽  
University Campus ◽  
School Students ◽  
Methodological Procedures ◽  
The University ◽  
Guided Tours ◽  
The Relationship

Extension actions and projects can help maintain the relationship between the university and society, in order to meet the needs of the external community, maintaining connections with social demands, public policies and diverse social movements in order to reduce inequalities and promote social inclusion. The project UFS de Braços Abertos, which is linked to the course in Tourism, is one such project. It offers guided tours for visiting elementary and high school students to the university campus, in order to present the university, its courses, the services offered, and the research and extension projects developed, creating a closer relationship between higher education and basic education. Based on this premise, this work analyzes the relationship between tourism, university extension and basic education, through the guided tours conducted as part of the UFS de Braços Abertos project, focusing on specifically on the participation of the Executive Secretarial course. In terms of approach to the problem, this study used qualitative research. The methodological procedures adopted were bibliographic research, and interviews with the head of the Executive Secretarial department and students of the course. We also sought to identify the perceptions of lecturers of the Executive Secretarial course in relation to the importance of the project, and the visits by school students to the University. The project helps to demystify the widely held perception, among students in basic education, that attending a federal university is a distant reality. The school students often arrive with this view, but after the visit, they are able to understand more how this universe works, and can dream of applying for place at university when they leave school. The report of experience presented clearly shows the important role of the UFS de Braços Abertos project, not only for the school students who may enter the university in the future, but also for students of the Tourism and Executive Secretarial courses, as it gives them an opportunity to promote and publicize the courses, stimulating the curiosity of the visiting students and showing them more about the respective professions, which can help them make future career choices.

scholarly journals Critical thinking and learning of mathematics in incoming college students [Pensamiento crítico y el aprendizaje de la matemática en estudiantes ingresantes a la universidad]

2020 ◽  
Vol 7 (2) ◽  
pp. 82-94
Author(s):  
Diana Ruth Campos-Fabian
Keyword(s):  
Critical Thinking ◽  
Mathematics Teachers ◽  
Necessary Conditions ◽  
Mathematics Learning ◽  
The Other ◽  
Correlational Design ◽  
Learning Mathematics ◽  
University Level ◽  
The University ◽  
The Relationship

The 21st century requires people to make good decisions based on thoughtful and reasoned thinking. It is the task of the university teacher to provide the necessary conditions to develop critical thinking by using strategies that place the student as the basis of teaching work. The objective of the research was to determine the relationship between the level of critical thinking and the level of learning of mathematics of students entering university. The research is based on the quantitative correlational scope approach with transectional, correlational design. The sample was 115 students belonging to two universities, one private and the other public, located in Lima, Peru. For data collection, two tests were administered: one to assess the level of critical thinking, and the other to assess the level of learning in mathematics. The results show that critical thinking and learning of mathematics are significantly correlated. Likewise, each dimension of mathematics learning is significantly correlated with critical thinking. It is concluded that critical thinking favors the learning of mathematics in students entering university. This research serves as an indicator for mathematics teachers to use teaching strategies that develop critical thinking at the university level to obtain better results in learning mathematics. [El siglo XXI requiere de personas que tomen buenas decisiones en base a un pensamiento reflexivo y razonado. Es tarea del docente universitario brindar las condiciones necesarias para desarrollar el pensamiento crítico y utilizar estrategias que sitúen al estudiante como centro de la labor de enseñanza. El objetivo de la investigación fue determinar qué relación existe entre el nivel de pensamiento crítico y el nivel de aprendizaje de la matemática en estudiantes ingresantes a la universidad. La investigación se basa en el enfoque cuantitativo de alcance correlacional y diseño transeccional-correlacional. La muestra fue de 115 estudiantes pertenecientes a dos universidades, una privada y otra pública situadas en Lima, Perú. Para la recolección de datos se administraron dos test: uno para evaluar el nivel de pensamiento crítico, otro para evaluar el nivel de aprendizaje de la matemática. Los resultados evidencian que el pensamiento crítico y aprendizaje de la matemática se correlacionan significativamente. Así mismo, cada dimensión del aprendizaje de la matemática se correlaciona significativamente con el pensamiento crítico. Se concluyó que el pensamiento crítico favorece el aprendizaje de la matemática en estudiantes ingresantes a la universidad. Esta investigación sirve como indicador para que los docentes de matemática en el nivel universitario utilicen estrategias de enseñanza que desarrollen el pensamiento crítico para obtener mejores resultados en el aprendizaje de la matemática].

scholarly journals Uso de jogos matemáticos como proposta pedagógica num contexto de formação intercultural para professores indígenas

2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Keli Cristina Conti ◽  
Nayara Katherine Duarte Pinto ◽  
Danielle Alves Martins
Keyword(s):  
Teacher Education ◽  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Indigenous Education ◽  
Learning Opportunities ◽  
Initial Teacher Education ◽  
Teaching Laboratory ◽  
Palabras Clave ◽  
The University ◽  
Indigenous Teachers

<p><strong>Resumo</strong></p><p>O presente trabalho foi desenvolvido com o objetivo de descrever a utilização do jogo Trinca-Espinhas e a criação do jogo Cabo de Guerra Numérico. Essas atividades foram desenvolvidas em um curso de formação de professores indígenas de uma universidade federal e fizeram parte de um projeto de pesquisa intitulado Contribuições do Laboratório de Ensino de Matemática para a formação inicial do professor que ensina matemática. As descrições dos jogos foram realizadas a partir de alguns momentos que analisamos serem produtivos durante as aulas na universidade e no território indígena. Nesse sentido, consideramos que essas atividades oportunizaram momentos de aprendizagem a partir de uma abordagem criativa, lúdica e divertida. Além disso, acreditamos que as reflexões produzidas aqui poderão contribuir para a formação de professores e futuros professores de matemática.</p><p><strong>Palavras-chave</strong></p><p>Educação matemática. Jogos. Uso do computador. Formação inicial de professores. Educação indígena.</p><p> </p><p><strong>Using Mathematical Games as a Pedagogical Proposal in a Context of Intercultural Education for Indigenous Teachers </strong></p><p><strong>Abstracts</strong></p><p>The goal of the present paper is to describe the use of the TrincaEspinhas game, as well as the creation of the ‘Numerical Tug of War’. These activities were developed in a training course for indigenous teachers at a federal university and were part of a research project titled Contribuições do Laboratório de Ensino de Matemática para a formação inicial do professor que ensina matemática [Contributions of the Mathematics Teaching Laboratory to Initial Education for Teachers who Teach Mathematics]. Our description of the games focused on points that we considered productive during the classes at the university and in an indigenous territory. Therefore, we consider that these activities provided participants with learning opportunities through a creative, playful and fun approach. In addition, we believe that the reflections presented here may contribute to the education of teachers and future mathematics teachers of mathematics.</p><p><strong>Keywords</strong></p><p>Mathematics education. Games. Computer use. Initial teacher education. Indigenous education.</p><p> </p><p><strong>Uso de juegos matemáticos como propuesta pedagógica en un contexto de formación intercultural para profesores indígenas </strong></p><p><strong>Resumen</strong></p><p>El presente trabajo se desarrolló con el objetivo de describir la utilización del juego «Trinca-Espinhas» y la creación del juego «Cabo de Guerra Numérico». Estas actividades se desarrollaron en un curso de formación de profesores indígenas de una universidad federal de Brasil y fueron parte de un proyecto de investigación titulado Contribuições do Laboratório de Ensino de Matemática para a formação inicial do professor que ensina matemática [Contribuciones del Laboratorio de Enseñanza de Matemáticas para la formación inicial del profesor que enseña matemáticas]. Las descripciones de los juegos se realizaron a partir de algunos momentos que, según nuestro análisis, fueron productivos durante las clases en la universidad y en el territorio indígena. En este sentido, consideramos que tales actividades propiciaron momentos de aprendizaje a partir de un enfoque creativo, lúdico y divertido. Además, creemos que las reflexiones aquí realizadas podrán contribuir a la formación de profesores y futuros profesores de matemáticas.</p><p><strong>Palabras clave</strong></p><p>Educación matemática. Juegos. Uso de la computadora. Formación inicial de profesores. Educación indígena.</p>

Thathir Quality Scholarship Program For Students At University level

2018 ◽  
Vol 2 (3) ◽  
pp. 206-219
Author(s):  
Louay Qais Abdullah ◽  
Duraid Faris Khayoun
Keyword(s):  
College Students ◽  
Life Sciences ◽  
Economic Feasibility ◽  
First Year ◽  
Grant Program ◽  
Scholarship Program ◽  
University Level ◽  
Faculty Of Education ◽  
The University ◽  
The Relationship

The study focused basically on measuring the relationship between the material cost of the students benefits program and the benefits which are earned by it, which was distributed on college students in the initial stages (matinee) and to show the extent of the benefits accruing from the grant program compared to the material burdens which matched and the extent of success or failure of the experience and its effect from o scientific and side on the Iraqi student through these tough economic circumstances experienced by the country in general, and also trying to find ways of proposed increase or expansion of distribution in the future in the event of proven economic feasibility from the program. An data has been taking from the data fro the Department of Financial Affairs and the Department of Studies and Planning at the University of Diyala with taking an data representing an actual and minimized pattern and questionnaires to a sample of students from the Department of Life Sciences in the Faculty of Education of the University of Diyala on the level of success and failure of students in the first year of the grant and the year before for the purpose of distribution comparison. The importance of the study to measure the extent of interest earned in comparision whit the material which is expenseon the program of grant (grant of students) to assist the competent authorities to continue or not in the program of student grants for the coming years.

The Relationship Between The University Services Marketing And the Leading Orientation And Their Impact In Enhancing The University Reputation

2018 ◽  
Vol 2 (3) ◽  
pp. 110-140 ◽  
Author(s):  
Nusseibeh Ahmed Abdul Wahid
Keyword(s):  
Private Universities ◽  
Services Marketing ◽  
Correlation Relationship ◽  
Independent Variables ◽  
Marketing Orientation ◽  
University Reputation ◽  
Administrative Leaders ◽  
University Services ◽  
The University ◽  
The Relationship

The relationship between the university services marketing and the leading orientation and their impact in enhancing the university reputation: Field study on a sample of administrative leaders in       private universities in the Erbil city Objective - The current study try to find the role of marketing university services (educational services, research services, community services) and the leading orientation (research mobilization, distinction, cooperation, university policies, proactive) as independent variables in enhancing the university's reputation as dependent a variable (Social responsibility, innovation, quality of service, image of the organization) in a sample of private universities in the Erbil city. Methodology of the study - The problem of the study was determined in several questions related to the nature of the correlation relationship - the effect of independent study variables (marketing of university services and leadership orientation) and the dependent variable (the reputation of the university). For this purpose, the hypotheses were subjected to multiple tests. The study used the questionnaire as a means to obtain data from the administrative leaders of the investigated universities. - The study was used the analytical descriptive method. The main and sub-variables were described and correlation and effect relationships were analyzed between the variables using advanced statistical methods (arithmetic mean, standard deviation, percentages, Pearson correlation, multiple regression test) , And the implementation of the statistical program (SPSS-Ver.18). The study was conducted in the educational sector in the city of Erbil, in order to obtain the necessary information for the field through a questionnaire prepared for this purpose and distributed to six universities. The number of respondents was (73) (Presidents of universities, their assistants, deans, their assistants, heads of departments) at the universities in question. The value of the study: The main conclusions of the study are the existence of a significant relationship between the variables of the study and the existence of a significant effect of the independent variable marketing of university services and the leading trend in the dependent variable universities reputation and the existence of variation of the effect of independent variables in the dependent variable in the universities investigated, A set of recommendations, the most important of which is the establishment of a center for the marketing of services at the university level and at the level of each college. In order to conduct a continuous study of the labor market to determine market needs, the university should be aware of the importance of marketing orientation in university education

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