PALESTRA Modelagem Matemática no contexto das Pesquisas

Name: PALESTRA Modelagem Matemática no contexto das Pesquisas
Uploaded: 2021-02-23T12:18:02.000Z
Duration: 2 h 20 min 32 s

Modeling Mathematics in Brazilian Education Research

Introduction to the Importance of Teachers

The foundation of all achievements is attributed to teachers, who are seen as sources of wisdom and guidance.

Every significant discovery or invention begins with a good teacher, emphasizing their role in various fields such as medicine, engineering, and education.

Overview of the Presentation

Professor Márcio Rodrigues from the University of the State of Mato Grosso introduces a discussion on mathematical modeling in Brazilian mathematics education research.

The presentation will cover how mathematical modeling is integrated into educational approaches, highlighting key researchers and universities involved.

Research Mapping and Findings

A mapping article based on over 300 master's theses and doctoral dissertations related to mathematical modeling will be published soon.

The focus is on understanding what has been produced in this field over the last 20 years within Brazil's educational context.

Resources for Further Learning

The professor plans to share books and websites that provide access to extensive research materials related to mathematical modeling.

Slides from the presentation are available online for attendees to review.

Contextualizing Mathematical Modeling Research

The session aims to clarify what has been studied regarding mathematical modeling from 2000 to 2020 in Brazil.

Emphasis will be placed on identifying gaps where further research can be conducted within this area.

Objectives of Current Research

The goal is to analyze academic production concerning dissertations and theses focused on mathematical modeling between 2000 and 2020.

Key questions include what these studies reveal about their focus areas, target audiences (teachers vs. students), and theoretical frameworks used.

Methodology for Data Collection

A comprehensive survey was conducted using digital libraries containing theses published during the specified period.

This effort aims at providing insights into trends and developments in mathematical modeling research across Brazil.

Modeling Mathematics in Education: A Comprehensive Overview

Research Corpus and Methodology

The research corpus consists of 302 studies, specifically focusing on dissertations and theses related to mathematical modeling in education, excluding articles and other forms of scientific communication.

Content analysis was conducted based on the perspectives of Bardan and Rodrigues (2019), aiming not only to understand mathematical modeling but also to compile data for future educators.

The intention is to categorize research focused on adult education, early years, final years, high school education, continuous teacher training, and theoretical perspectives.

Purpose of the State of the Art Research

The state-of-the-art research serves two main purposes: highlighting key occurrences in the field and identifying aspects that have yet to be researched. This helps researchers avoid redundancy in their work.

Understanding existing literature allows new researchers to identify gaps in knowledge which can lead to innovative contributions within their chosen fields. This is crucial for maintaining relevance in academic work.

Insights from Existing Research

Among the 302 selected studies, there is a notable gender distribution with 171 male researchers and 131 female researchers involved in this area of study. This indicates a balanced representation within the field.

A significant finding reveals that 90% of these studies are master's dissertations while only 10% are doctoral theses; this suggests a need for more comprehensive doctoral-level research in mathematical modeling education.

Future Directions for Research

There is an observed increase in postgraduate programs over the last two decades; as newly minted PhDs return to universities, they may begin supervising dissertations that delve deeper into mathematical modeling principles. This could enhance both theoretical understanding and methodological rigor within educational contexts.

Research Trends in Mathematical Modeling

Growth of Doctoral Research in Mathematical Modeling

A significant increase in doctoral research was noted, with a jump from 13 to 24 theses between 2012 and 2013, indicating a growing interest in the field.

The surge in research output is attributed to the introduction of master's dissertations under the ProfMAT program starting in 2013, which focused on mathematical modeling.

Target Audience and Educational Impact

The primary audience for ProfMAT includes basic education teachers pursuing professional master's degrees who aim to create educational products alongside their dissertations.

Teachers returning to academia seek innovative pedagogical strategies that deviate from traditional methods, making mathematical modeling an appealing alternative.

Contributions of ProfMAT Program

From 2013 to 2020, ProfMAT accounted for 113 defended theses related to mathematical modeling, highlighting its pivotal role in advancing research within this domain.

Notably, 37% of all mathematical modeling research was produced through ProfMAT, showcasing its influence despite some criticisms regarding its approach.

Future Projections and Reflections

If current trends continue, it is projected that within a few years, ProfMAT could represent up to 50% of all research focused on mathematical modeling.

This raises important questions about how academic programs can better engage with basic education teachers and support their scientific inquiries.

Institutional Contributions and Regional Distribution

Research has been conducted across various institutions; notable contributors include PUC São Paulo and Unesp due to their strong focus on mathematical modeling.

Only three states (Acre, Rondônia, Roraima) showed no contributions to this field. In contrast, the Southeast and South regions dominate with over 70% of publications in Brazil's educational mathematics sector.

Research Trends in Mathematical Modeling

Overview of Research Types

The term "experimental" is used to describe practical research involving proposals with students or teachers, revealing that 80% of mathematical modeling research falls into this category.

Only 20% of the studies are more theoretical, focusing on bibliographic aspects rather than practical applications in classrooms.

Focus on Teacher and Student Engagement

Out of 302 studies analyzed, 114 were aimed at high school education, while only a small number targeted initial education and adult education contexts.

A mere 20 studies focused on the continuous training of mathematics teachers, raising questions about the emphasis placed on ongoing professional development.

Gaps in Educational Contexts

There is a notable lack of research addressing early childhood education and adult education, suggesting these areas require further exploration.

The predominance of high school-focused research may overlook critical educational stages where mathematical modeling could be beneficial.

Recommendations for Future Research Directions

Emphasizing continuous training and exploring initial years and adult education can enhance the relevance and application of mathematical modeling in diverse educational settings.

Researchers are encouraged to direct their inquiries towards these underrepresented areas to foster meaningful engagement with real-world issues.

Insights from Research Data

A total of 177 researchers contributed to the body of work surrounding mathematical modeling; this indicates a robust community engaged in this field.

Upcoming presentations will highlight significant findings regarding how well mathematical modeling is integrated into teacher training programs.

Key Findings from Research Titles

Analysis reveals common themes among titles such as "mathematical modeling," "high school," and "interdisciplinary approaches," indicating prevalent topics within current research.

Keywords like "functions" and "problem-solving" frequently appear, showcasing focal points that align with educational objectives.

Mathematical Modeling in Education

Overview of Research and Focus Areas

The research aims to provide a comprehensive analysis of dissertations and theses related to mathematical modeling, identifying strengths and weaknesses in the academic field. This foundational work will support future studies on the topic.

Emphasis is placed on early education, continuous teacher training, and adult education as critical areas for attention in mathematical modeling research. These were identified as essential focus points during the study.

Groups Involved in Mathematical Modeling

The Brazilian Society of Mathematics Education has established a working group (GT) focused on mathematical modeling, which was formed as part of a policy encouraging collaboration among Brazilian researchers. It is known as GT-10.

GT-10 organizes national conferences on mathematical modeling in education every two years, with the last conference held in 2019. This group also participates in national and international educational seminars.

EBRAPEM: A Platform for Research Presentation

EBRAPEM (Brazilian Meeting of Graduate Students in Mathematics Education) serves as a platform where master's and doctoral students present their research projects and engage with peers and faculty members for feedback. The most recent event took place online at Unioeste in November 2021.

Currently, there are 17 discussion groups within EBRAPEM, with GT-10 specifically dedicated to mathematical modeling discussions; 21 research projects were presented by this group at the latest meeting.

National Conferences on Mathematical Modeling

The first National Conference on Mathematical Modeling occurred in 1999, marking the beginning of formal discussions around this subject within Brazil's educational landscape; it has since evolved significantly over time.

The eleventh edition of this conference took place at the Federal University of Minas Gerais at the end of 2019, with expectations for a twelfth edition possibly occurring in 2021—serving as an important venue for researchers focused solely on mathematical modeling to share their findings.

Publications Related to Mathematical Modeling

Various significant publications have emerged from these conferences that include scientific communications and experiential reports; these documents serve as valuable resources for educators interested in practical applications of mathematical modeling techniques.

Notable books discussed include works by Tiago, Burak, Rodney, Lourdes de Almeida, Karina, and Rodolfo that cover various aspects of mathematical modeling practices relevant to both higher education and basic education settings—highlighting their importance for teachers seeking effective methodologies.

Mathematical Modeling in Basic Education

Overview of Mathematical Modeling Resources

The discussion begins with references to various books on mathematical modeling in basic education, highlighting the authors' focus on practical problems suitable for this educational level.

Mention of a center for mathematical modeling at a foundation in Blumenau, which provides numerous resources related to mathematical modeling.

Introduction of a research group from the State University of Londrina (UEL), Paraná, that actively researches the relationship between mathematical modeling and mathematics education.

Educational Materials and Themes

Availability of materials produced by students from Unijuí University in Rio Grande do Sul, showcasing different types of models applicable to basic education.

Discussion on specific projects such as the impact of pesticides, emphasizing how these topics can engage students through real-world applications.

Practical Applications in Education

Examples provided include mathematical modeling related to roof construction, demonstrating geometric principles like the Pythagorean theorem.

Exploration of nutritional value comparisons using ice cream as a subject matter, making math relatable and engaging for students.

Diverse Topics for Student Engagement

Use of everyday items like hamburgers and water treatment processes as study subjects to illustrate concepts such as resource consumption and waste management.

Emphasis on various themes available for teachers to explore with their students, enhancing engagement through relevant content.

Research Groups and Further Resources

Information about research groups focusing on mathematical modeling is shared, including access to publications and events that can enrich educators' knowledge.

Highlighting Professor Maria Salete's contributions as coordinator at the Blumenau center and her extensive work in this field.

Conclusion and Future Directions

Encouragement for educators to consult ongoing research projects related to ludic activities in early years’ mathematics education.

Invitation for further dialogue among participants regarding available resources and insights into effective teaching practices.

Access to Technical-Scientific Knowledge in Mathematical Modeling

Importance of Historical Context

The speaker emphasizes the significance of accessing technical-scientific knowledge developed in mathematical modeling over the past 20 years in Brazil, referencing the first national conference on mathematical modeling in education held in 1999.

Community Engagement and Participation

Acknowledgment of various participants joining from different locations, including Sandra, Miriam, and others from Paraná and Canaã dos Carajás.

Introduction of key figures such as Professor Paulo, who will assist with discussions on modeling in early education.

Diverse Representation

Recognition of educators from distant places like Vila Rica (1,500 km away), highlighting the widespread interest and participation across regions.

Mention of practical tips for downloading materials shared during the session via Google Meet.

Pedagogical Insights

Discussion about the importance of effective implementation of mathematical modeling activities for enhancing teaching efficacy.

Lucinéia stresses that valuing students' prior knowledge is crucial for integrating real-life contexts into classroom learning.

The Role of Teacher Training in Mathematical Modeling

Research Findings on Teacher Education

A participant shares insights from a mapping research project emphasizing the need for teacher training both initially and continuously.

It is noted that discussions surrounding mathematical modeling and teacher training are still underrepresented in current educational discourse.

Addressing Gaps in Teacher Development

The conversation highlights a lack of ongoing professional development opportunities for teachers related to mathematical modeling practices.

Collaborative Learning Environment

Participants express enthusiasm about collaborative efforts to improve teaching methodologies through innovative approaches.

Transforming Education: The Role of Teachers

The Impact of Teachers on Student Lives

The speaker emphasizes the transformative role teachers play in their students' lives, highlighting the importance of language and relationships in education.

A humorous comparison is made between using new technology and telemarketers, illustrating the challenges educators face with unfamiliar tools.

Critique of Higher Education's Approach to Teacher Training

There is a call for universities to better support basic education teachers, advocating for changes in postgraduate programs to align with real-world teaching needs.

The necessity for research to be connected to practical teaching experiences is stressed, emphasizing that findings should directly benefit student learning.

Continuous Professional Development

The discussion highlights the need for ongoing training for teachers, particularly in initial teacher education programs.

Participants share insights on improving teacher preparation through specific courses aimed at enhancing pedagogical skills.

Community Engagement and Collaboration

Various educators express gratitude for shared knowledge and resources during discussions about mathematical modeling in education.

A commitment is made to present research findings publicly after a participant defends her thesis, promoting transparency and community involvement.

Closing Thoughts on Educational Research

The session concludes with an acknowledgment of the vast potential for research within mathematical modeling, encouraging participants to explore existing studies and projects.

Despite bureaucratic limitations affecting material distribution, there’s a strong desire among educators to make resources accessible online for broader engagement.

A Lesson in Creation and Learning

The Essence of Beginnings

The speaker reflects on the interconnectedness of various elements in life, likening them to a railway, surgery, and architecture, emphasizing that everything created has an underlying teacher or inspiration.

There is a focus on dreams being realized through new ideas and learning experiences, suggesting that education is both a personal journey and a shared lesson.

The phrase "A Lição de Amor" (A Lesson of Love) indicates that love plays a crucial role in the process of teaching and learning.

The mention of music notation symbolizes the structured yet creative nature of projects, highlighting how art and science can coexist harmoniously in any endeavor.

Overall, the discussion underscores that every good beginning is rooted in thoughtful preparation and understanding.