scholarly journals Mathematics and outdoor photography experience – exploration of an approach to mathematical education, based on the theory of Dewey’s aesthetics

2018 ◽  
Vol 6 (2) ◽  
Author(s):  
Antje Meier ◽  
Markku S. Hannula ◽  
Miika Toivanen
Keyword(s):  
Mathematics Education ◽  
Visual Attention ◽  
Positive Impact ◽  
Group Activity ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Experimental Mathematics ◽  
Gaze Tracking ◽  
The Gaze ◽  
Teacher Students

Based on Dewey’s theory of art, aesthetics, and experiences and photographer Barnbaums’ writing about expanded perception through photography, we conducted a one-day experimental mathematics education unit. Using photography in outdoor conditions had a positive impact on teacher students’ perception of the use of photography for teaching mathematics. To study the changes in students’ visual attention deeper, we used gaze-tracking to analyse one student’s visual attention when walking outdoors after the activity. The gaze data indicated that more visual attention was given to objects he had photographed or discussed during the group activity in comparison to other objects.

INFORMATIZATION OF MATHEMATICS EDUCATION: DIDACTIC OPPORTUNITIES, EXPERIENCE AND FOREIGN TRENDS

2019 ◽  
pp. 49-55 ◽  
Author(s):  
A. Pardała
Keyword(s):  
Big Data ◽  
Mathematics Education ◽  
Information And Communication Technologies ◽  
Critical Analysis ◽  
Information Technologies ◽  
Communication Technologies ◽  
Practical Experience ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Information And Communication

The article discusses modern trends in the informatization of mathematical education in different countries. Two important phenomena of the 21st century that determine the development of various spheres of life, including education, are noted, that is Big Data and informatization based on the development of information and communication technologies. It is shown what impact Big Data has on changing methods of scientific research and how the introduction of information technologies in the learning process changes the theory and methodology of teaching mathematics. Examples of practical experience of Poland and other countries in the field of informatization of mathematical education are presented, a critical analysis of this experience is carried out, and conclusions are drawn about the need to improve the informatization of mathematical education of schoolchildren and students.

scholarly journals Tales from three countries: reflections during COVID-19 for mathematical education in the future

2021 ◽  
Author(s):  
Christina M. Krause ◽  
Pietro Di Martino ◽  
Judit N. Moschkovich
Keyword(s):  
Mathematics Education ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Current Crisis ◽  
Complex Situation ◽  
Everyday Practices ◽  
The Usa ◽  
The Individual ◽  
Real World Problems ◽  
Science Professional

AbstractHow can school mathematics prepare citizens for a democratic society? Answers to this question are not static; they change as society and its problems change. The SARS-CoV-2 pandemic with its corresponding disease COVID-19 presents such a problem: what is needed to navigate this complex situation that involves, among other things, mathematics? Using the essay genre, we use three narratives from three countries—Italy, the USA (California), and Germany—to reflect on the goals of teaching mathematics during this crisis and examine aspects of each country’s standards for mathematics education. These three stories are framed by the authors’ backgrounds, experiences, interests, their country’s situation, and response to the pandemic. We first present the three narratives and then examine common issues across them that might provide insights beyond this current crisis, for preparing students to become active citizens. In particular, we focus on three issues: (1) developing a positive mindset toward mathematics to engage with and reflect on real-world problems, (2) improving interdisciplinary connections to the sciences to better understand how science professional practices and insights are similar or different from everyday practices, and (3) considering interpersonal and collective matters beyond the individual.

Proceedings of the 14th Engineering Mathematics and Applications Conference

2020 ◽  
Vol 61 ◽  
Author(s):  
Christopher C Tisdell ◽  
Zlatko Jovanoski ◽  
William Guo ◽  
Judith Bunder
Keyword(s):  
Saudi Arabia ◽  
New Zealand ◽  
Mathematics Education ◽  
Interest Group ◽  
Applied Mathematics ◽  
Special Section ◽  
Mathematical Education ◽  
Mathematical Methods ◽  
Engineering Mathematics ◽  
Technology Group

  EMAC 2019 UNSW Canberra, Australia 26th Nov–29th Nov 2019 This Special Section of the ANZIAM Journal (Electronic Supplement) contains the refereed papers from the 14th Engineering Mathematics and Applications Conference (EMAC2019), which was held at the UNSW Canberra, Australia from 26th November to 29th November 2019. EMAC is held under the auspices of the Engineering Mathematics Group (EMG), which is a special interest group of the Australian and New Zealand Industrial and Applied Mathematics division of the Australian Mathematics Society. This conference provides a forum for researchers interested in the development and use of mathematical methods in engineering and applied mathematics, and aims to foster interactions between mathematicians and engineers, from both academia and industry. A further theme of the conference is the mathematical education of applied mathematicians and engineers. The event attracted participants from around the globe, including: New Zealand, Saudi Arabia, United Kingdom, Japan and Australia. The invited speakers at the 2019 meeting crossed the spectrum of specialities in engineering, mathematics, education and industry. They were: Alexander Kalloniatis (Defence Science and Technology Group), Robert K. Niven (UNSW Canberra), Katherine Seaton (La Trobe University) and Antoinette Tordesillas (University of Melbourne). All of the articles included in the EMAC 2019 Proceedings have been critically peer reviewed to the usual standards of the ANZIAM Journal. EMAC 2019 Organising Committee The conference organising committee were Fiona Richmond, Zlatko Jovanoski (Director), Leesa Sidhu, Duncan Sutherland, Fangbao Tian, Isaac Towers, Timothy Trudgian and Simon Watt. The invited speakers were chosen by a committee of experts including Alys Clark, Jennifer Flegg, Bronwyn Hajek (EMG Chair), Zlatko Jovanoski, Dann Mallet, Robert Niven, Brandon Pincombe, Melanie Roberts (Chair) and Harvinder Sidhu.

scholarly journals Saliency-Based Gaze Visualization for Eye Movement Analysis

Sensors ◽  
2021 ◽  
Vol 21 (15) ◽  
pp. 5178
Author(s):  
Sangbong Yoo ◽  
Seongmin Jeong ◽  
Seokyeon Kim ◽  
Yun Jang
Keyword(s):  
Eye Movements ◽  
Visual Attention ◽  
Eye Movement ◽  
Visual Stimuli ◽  
Saliency Map ◽  
Gaze Behavior ◽  
The Gaze ◽  
Movement Data ◽  
Visual Clues ◽  
Human Visual Attention

Gaze movement and visual stimuli have been utilized to analyze human visual attention intuitively. Gaze behavior studies mainly show statistical analyses of eye movements and human visual attention. During these analyses, eye movement data and the saliency map are presented to the analysts as separate views or merged views. However, the analysts become frustrated when they need to memorize all of the separate views or when the eye movements obscure the saliency map in the merged views. Therefore, it is not easy to analyze how visual stimuli affect gaze movements since existing techniques focus excessively on the eye movement data. In this paper, we propose a novel visualization technique for analyzing gaze behavior using saliency features as visual clues to express the visual attention of an observer. The visual clues that represent visual attention are analyzed to reveal which saliency features are prominent for the visual stimulus analysis. We visualize the gaze data with the saliency features to interpret the visual attention. We analyze the gaze behavior with the proposed visualization to evaluate that our approach to embedding saliency features within the visualization supports us to understand the visual attention of an observer.

scholarly journals Educação matemática e educação técnica agrícola na década de 1980Mathematics education and technical agricultural education in the 1980s

2018 ◽  
Vol 20 (2) ◽  
Author(s):  
Neila De Toledo Toledo
Keyword(s):  
Discourse Analysis ◽  
Mathematics Education ◽  
Michel Foucault ◽  
Agricultural Education ◽  
John Dewey ◽  
Theoretical Framework ◽  
Mathematical Education ◽  
Research Material

O artigo examina como o princípio pedagógico “aprender a fazer fazendo” se expressava no âmbito da educação matemática no curso Técnico em Agropecuária da Escola Agrotécnica Federal de Sertão (EAFS/RS) nos anos de 1980. Os aportes teóricos encontram-se, principalmente, nas formulações de Michel Foucault e John Dewey. O material de pesquisa é composto por entrevistas realizadas com egressos, além de cadernos, provas e trabalhos da disciplina de Matemática. O exercício analítico sobre esse material, realizado na perspectiva da análise do discurso foucaultiano e por meio da abordagem de Storytelling, possibilitou concluir que a educação matemática da disciplina de Matemática era pouco vinculada ao princípio pedagógico “aprender a fazer fazendo”, priorizando-se o uso da escrita e o formalismo. The paper examines how the “learning to make by making” pedagogical principle was present in the context of mathematical education at Federal Agrotechnical School of Sertão (EAFS/RS) in the 1980s. The theoretical framework is based mainly on the works of Michel Foucault and John Dewey. The research material is composed of interviews with egresses, as well as Mathematics notebooks, tests and schoolwork from that period. The analytical exercise concerning this material, undertaken in the perspective of foucauldian discourse analysis and by means of the Storytelling approach, demonstrated that mathematical education in Mathematical classes was hardly related to the "learning to make by making" pedagogical principle, prioritizing formalism and the use of writing.

scholarly journals Aspectos metodológicos da pesquisa em Educação Matemática: rumos e perspectivasMethodological aspects of research in Mathematics Education: directions and perspectives

2021 ◽  
Vol 22 (3) ◽  
pp. 65-83
Author(s):  
Bernardete Angelina Gatti
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Empirical Research ◽  
Mathematical Education ◽  
Research Methodologies ◽  
Mathematic Education Research ◽  
School Learning ◽  
Mathematic Education ◽  
Methodological Aspects ◽  
Research In Mathematics Education

ResumoNeste artigo são apresentadas algumas das concepções que se observam, explicitamente ou subjacentemente, no relato de pesquisas na área da educação matemática, as quais orientam seu desenvolvimento, fins e resultados. As concepções destacadas se entrelaçam com várias formas e caminhos possíveis para levantar dados e analisar o que é obtido em investigações no que se refere às situações de ensino e de aprendizagem escolar, ou, a processos formativos de diferentes naturezas e níveis. Não há hierarquização entre elas, não são necessariamente mutuamente excludentes, e, cada uma traz contribuições a serem consideradas nos limites de suas perspectivas.Palavras-chave:  Educação matemática, Metodologias de pesquisa, Concepções de pesquisa, Formação do pesquisador. AbstractIn this article, is exposed an analytic view of conceptions that we can observe in reports of research in the field of mathematical education. They guide the purpose, proceedings and results of the investigation and they interweave the ways and research means of obtaining data. This analysis is done by observing reports of empirical research on school learning or about process of teachers’ education. There are no hierarchy between then and they are not mutually exclusive. Each one brings their contribution that can be considered in their perspectives and limits.Keywords: Mathematic education, Research methodologies, Research conceptions, Researchers’ education. ResumenEn este artículo se analizan concepciones observables, directamente o no, en relatos de investigaciones científicas en el campo de la educación matemática. Esas concepciones orientan los procedimientos investigativos, los análisis de los resultados y sus fines. Ellas están entrelazadas con los caminos de búsqueda de datos y conclusiones. Las investigaciones tratadas dicen respecto a situaciones de la enseñanza y del aprendizaje en la escuela o a procesos de formación de varios tipos, mayormente, la formación de docentes. No hay jerarquía entre ellas, no son mutuamente excluyentes, y cada una aporta su contribución específica.Palabras-clave: Educación matemática; metodologías de la investigación; concepciones de investigación; formación de investigadores. 

scholarly journals About the Knowledge of Teacher Students in Respect to Problem Orientation in Mathematics Education

2018 ◽  
Vol 12 (2) ◽  
pp. 67-75
Author(s):  
Günter Graumann
Keyword(s):  
Mathematics Education ◽  
Main Part ◽  
Problem Orientation ◽  
Beliefs About Mathematics ◽  
Teacher Students ◽  
Long Time ◽  
Insufficient Knowledge

Problem orientation as a part of mathematics education is required by mathematicians already for a long time and since the beginning of ProMath meetings the situation in school has been improved a little bit, but it is still practiced not sufficiently. Resistors among other enhancements are special beliefs about mathematics education and insufficient knowledge about problem orientation. This is the reason I offered again a seminar for teacher students about problem orientation in mathematics education in summer 2016. In the following first I will briefly discuss different type of problems and then as the main part report and discuss results of a written survey on knowledge to problem orientation at the beginning of the seminar as well as personal comments the students have made during the seminar sessions and in protocols on the seminar sessions.

scholarly journals Pedagogical conditions for implementing value and sense direction of training mathematics at higher school

2020 ◽  
pp. 80-92
Author(s):  
Larisa V. Zhuk
Keyword(s):  
Creative Thinking ◽  
Educational Process ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Search Activity ◽  
Mathematical Concepts ◽  
Teaching Aids ◽  
Semantic Orientation ◽  
Cognitive Information ◽  
The University

The article actualizes the issue of updating the content, methods and means of teaching mathematics at the university within the sociocultural paradigm. A significant contradiction characterizing the crisis situation in the field of higher mathematical education is the mismatch between the traditional organization of the educational process and the powerful developing potential of mathematical disciplines. Being overloaded with a lot of information, altogether with its insufficiently developed anthropological, cultural-like and communicative components, mathematical education hinders the mental development of the learner’s personality in relation to such important qualities as search activity, creativity, and creative thinking. The solution to this problem can be the transformation of the cognitive-information model of learning, the introduction of pedagogical technologies that actualize the sociocultural aspect of mathematical education. The aim of the study is to develop methodological foundations for the implementation of the value-semantic orientation of teaching mathematics at the university, expressed in providing a set of pedagogical conditions related to the selection of content, determination of teaching aids and methods, ways of organizing the interaction of students and a teacher, in which students intelligently master mathematical concepts, and freely operate with them. The didactic conditions for the implementation of the value-semantic orientation of teaching mathematics at the university are: the transformation of mathematical content, expressed in learning from sociocultural experience; the psychodidactic approach, focused on building the students’ self-motivation; the use of teaching methods that provide cognitive and emotional empathy (educational mathematical discourse), the activization of productive mental activity (technology of problematic dialogue); inclusion of non-standard, creative tasks, training cases. Providing these conditions will allow to realize the humanitarian potential of mathematics, to reveal the social, practical and personal significance of the subject matter.

scholarly journals Circulação de ideias em eventos da História da educação matemática

2020 ◽  
Vol 20 (67) ◽  
Author(s):  
Yohana Taise Hoffmann ◽  
David Antonio da Costa
Keyword(s):  
Mathematics Education ◽  
History Of Mathematics ◽  
Pierre Bourdieu ◽  
International Congress ◽  
Mathematical Education ◽  
History Of Mathematics Education ◽  
International Conference ◽  
History Of

Consideramos a História da educação matemática (Hem) como um campo científico que possui como elementos constitutivos os grupos de pesquisas, as produções científicas, como teses e dissertações, as disciplinas que contribuem para a autonomia e estabilidade do próprio campo e as comunicações científicas, como os eventos e as revistas. Mobilizamos a sociologia da educação de Pierre Bourdieu como referencial teórico, principalmente na definição do conceito de campo. Dessa forma, o presente artigo tem por objetivo apresentar sócio historicamente a circulação de ideias a partir dos eventos e as revistas científicas do campo da Hem. Apresentamos o International Congress on Mathematical Education (ICME), em seguida a revista International Journal on the History of Mathematics Education (IJHME), que circulou entre os anos de 2006 e 2016. A partir da mobilização da comunidade internacional de pesquisadores que investigam a Hem, foi criado o International Conference on the History of Mathematics Education (ICHME), logo em seguida o Congresso Iberoamericano de História da Educação Matemática (CIHEM) e, no Brasil, o Encontro Nacional de Pesquisa em História da Educação Matemática (ENAPHEM). Entre todas as revistas atualmente que contribuem para a circulação de ideias elencamos a Revista UNIÓN, intitulada Historia Social de la Educación Matemática en Iberoamérica e a Revista HISTEMAT, intitulada Revista de História da Educação Matemática. Os espaços que a Hem vem ocupando contribuem para o processo de reconhecimento, legitimação, socialização e circulação de ideias do próprio campo.

scholarly journals Um cenário de estudos envolvendo o ensino de Matemática através da Resolução de Problemas em periódicosA study scenario involving the teaching of mathematics through problem solving in journals

2020 ◽  
Vol 22 (2) ◽  
pp. 252-280
Author(s):  
Kaique Nascimento Martins ◽  
Jamille Vilas Bôas
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
The State ◽  
University Education ◽  
Teaching Mathematics ◽  
Mathematics Teaching And Learning ◽  
Teaching Of Mathematics

ResumoO presente estudo é uma pesquisa bibliográfica inspirada no Estado do Conhecimento, tendo como objetivo compreender focos temáticos nas produções acadêmicas que utilizam/abordam o ensino de matemática através da resolução de problemas. Para tanto, realizou-se um mapeamento das produções acadêmicas publicadas nos periódicos: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista e Educação Matemática Pesquisa, entre janeiro de 2011 e junho de 2019. De um modo geral, percebemos uma variedade de estudos contendo diferentes perspectivas discutidas e abordadas tanto na educação básica quanto no ensino superior.  A partir deste trabalho, é possível ampliar o entendimento sobre a temática, fortalecendo a ideia de que esta pode potencializar o processo de ensino e aprendizagem de matemática.Palavras-chave: Resolução de problemas, Mapeamento, Educação matemática.AbstractThe present study is a bibliographic research inspired by the state of knowledge, aiming to understand thematic focuses on academic productions that use/approach teaching mathematics through problem-solving. For this purpose, we mapped the academic productions published in journals: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista, and Educação Matemática Pesquisa, published between January 2011 and June 2019. We noticed a variety of studies containing different perspectives discussed and addressed both in basic and university education. From this work, it is possible to broaden the understanding of the theme, strengthening the idea that it can enhance the mathematics teaching and learning process.Keywords: Problem solving, Mapping, Mathematics education. ResumenEl presente estudio es una investigación bibliográfica inspirada en el estado del conocimiento, con el objetivo de comprender enfoques temáticos sobre producciones académicas que utilizan/abordan la enseñanza de las matemáticas a través de la resolución de problemas. Para ello, mapeamos las producciones académicas publicadas en las revistas: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista y Educação Matemática Pesquisa, publicadas entre enero de 2011 y junio de 2019. Notamos una variedad de estudios que contienen diferentes perspectivas discutidas y abordadas tanto en educación básica como en educación universitaria. A partir de este trabajo, es posible ampliar la comprensión del tema, fortaleciendo la idea de que puede potenciar el proceso de enseñanza y aprendizaje de las matemáticas.Palabras clave: Resolución de problemas, Mapeo, Educación matemática.

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