scholarly journals O movimento e suas implicações na aprendizagem de Matemática: um olhar fenomenológicoMoviment and its implications in learning mathematics: a phenomenological look

2021 ◽  
Vol 23 (1) ◽  
pp. 324-354
Author(s):  
José Milton Lopes Pinheiro ◽  
Cesar Osvaldo Vásquez Flores ◽  
Giovana Alves ◽  
Juscimar Da Silva Araujo
Keyword(s):  
Qualitative Study ◽  
Dynamic Geometry ◽  
Dynamic Geometry Environment ◽  
Movement Perception ◽  
The Third ◽  
Surrounding World ◽  
Theoretical Perspectives ◽  
Learning Mathematics

ResumoEste estudo foca o movimento como fenômeno de pesquisa, explicitando-o a partir de diferentes perspectivas teóricas, quais sejam: a física, a matemática e a fenomenologia, porém, assumindo a terceira para efetuar a análise. Mediante estudo no âmbito dessas áreas e análise de uma atividade desenvolvida em ambiente de Geometria Dinâmica, o objetivo da investigação é apresentar compreensões sobre como a percepção do movimento pode direcionar o pensar e contribuir com a aprendizagem de matemática. Para tanto, realizamos um estudo qualitativo de cunho bibliográfico, que forneceu compreensões que uma vez articuladas com a análise da atividade, permitiram ao estudo o entendimento de que o movimento é correlato a um sujeito que se move, movendo, e o permite conhecer as implicações desse ato materializando-se em seu mundo circundante e em seu corpo, que é o ponto zero do movimento e das percepções que realiza. Assim, o aprender dá-se na unidade movimento-percepção-conhecimento.Palavras-chave: Movimento, Fenomenologia, Educação matemática.AbstractThis study focuses on the movement as a research phenomenon, explaining it from different theoretical perspectives, namely: physics, mathematics, and phenomenology, however, assuming the third one to carry out the analysis. Through study in the scope of these areas and analysis of an activity developed in a dynamic geometry environment, this study aims to present understandings about how the perception of movement can direct thinking and contribute to the learning of mathematics. To this end, a qualitative study of a bibliographic nature is carried out, providing understandings that, once articulated with the analysis of the activity, allowed the study to recognize that the movement is correlated to a subject who moves, moving, and allows it to know the implications of this act materialising in his surrounding world and also in their body, which is the base of the movement and the perceptions it realises. Thus, learning occurs in the movement-perception-knowledge unit.Keywords: Movement, Phenomenology, Mathematical Education.ResumenEste estudio enfoca el movimiento como fenómeno a ser investigado, explicándolo a partir de diferentes perspectivas teóricas, sean: la física, la matemática y la fenomenología, sin embargo, asumiremos la tercera para efectuar nuestro análisis. El objetivo es, mediante el estudio en el ámbito de esas areas y el análisis de una actividad desarrollada en el ambiente de la geometría dinámica, presentar cómo la comprensión de la percepción del movimiento pode direccionar el pensamiento y contribuir al aprendizaje de la matemática. Para ese objetivo, se realiza un estudio cualitativo de carácter bibliográfico, que ofreció comprensiones que una vez articuladas con el análisis de la actividad, permitieron al estudio la comprensión de que el movimiento está relacionado a un sujeto que se mueve, moviéndose, y le permite conocer las implicaciones de ese acto materializándose en su mundo circundante y también en su cuerpo, el cual es el punto cero del movimiento y de las percepciones que realiza. Así, el aprendizaje se da en la unidad movimiento-percepción-conocimiento.Palabras clave: Movimiento, Fenomenología, Educación matemática.

scholarly journals Hybrid-dynamic objects: DGS environments and conceptual transformations

2019 ◽  
Vol 1 (1) ◽  
pp. 31
Author(s):  
Stavroula Patsiomitou
Keyword(s):  
Mathematical Thinking ◽  
Dynamic Geometry ◽  
Research Process ◽  
Dynamic Geometry Environment ◽  
Theoretical Perspectives ◽  
Dynamic Objects ◽  
Dynamic Hybrid ◽  
Geometric Processes ◽  
Theoretical Considerations ◽  
Didactics Of Mathematics

A few theoretical perspectives have been taken under consideration the meaning of an object as the result of a process in mathematical thinking. Building on their work, I shall investigate the meaning of ‘object’ in a dynamic geometry environment. Using the recently introduced notions of dynamic-hybrid objects, diagrams and sections which complement our understanding of geometric processes and concepts as we perform actions in the dynamic software, I shall explain what could be considered to be a ‘procept-in-action’. Finally, a few examples will be analyzed through the lenses of hybrid and dynamic objects in terms of how I designed them. A few snapshots of the research process will be presented to reinforce the theoretical considerations. My aim is to contribute to the field of the Didactics of Mathematics using ICT in relation to students’ cognitive development

Editorial

2018 ◽  
Vol 6 (1) ◽  
pp. 1-2
Author(s):  
Ibrahim Sirkeci
Keyword(s):  
Qualitative Study ◽  
Cultural Dimensions ◽  
Mobile Marketing ◽  
Negative Attitudes ◽  
The Third ◽  
Cross Border ◽  
Local Characteristics ◽  
Critical Account

Transnational Marketing Journal is dedicated to disseminate scholarship on cross-border phenomena in marketing by acknowledging the importance of local and global or in other words, underlining the transnational practices marked by national and local characteristics in a fluid fashion spreading over more than one national territory. The first article by Paulette Schuster looks into “falafel” and “shwarma” in Mexico and discusses the perception of Israeli food in Mexico. The second article is a case study illustrating a critical account of cultural dimensions formulated by Schwarz using the value surveys data. The third article in the issue is a qualitative study of the negative attitudes of millennials torwards mobile marketing. 

scholarly journals Creativity as a function of problem-solving expertise: posing new problems through investigations

ZDM ◽  
2021 ◽  
Author(s):  
Haim Elgrably ◽  
Roza Leikin
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Problem Posing ◽  
Dynamic Geometry Environment ◽  
Mathematics Majors ◽  
Individual Interviews ◽  
University Mathematics ◽  
Domain Specific ◽  
Mathematics Test ◽  
Different Types

AbstractThis study was inspired by the following question: how is mathematical creativity connected to different kinds of expertise in mathematics? Basing our work on arguments about the domain-specific nature of expertise and creativity, we looked at how participants from two groups with two different types of expertise performed in problem-posing-through-investigations (PPI) in a dynamic geometry environment (DGE). The first type of expertise—MO—involved being a candidate or a member of the Israeli International Mathematical Olympiad team. The second type—MM—was comprised of mathematics majors who excelled in university mathematics. We conducted individual interviews with eight MO participants who were asked to perform PPI in geometry, without previous experience in performing a task of this kind. Eleven MMs tackled the same PPI task during a mathematics test at the end of a 52-h course that integrated PPI. To characterize connections between creativity and expertise, we analyzed participants’ performance on the PPI tasks according to proof skills (i.e., auxiliary constructions, the complexity of posed tasks, and correctness of their proofs) and creativity components (i.e., fluency, flexibility and originality of the discovered properties). Our findings demonstrate significant differences between PPI by MO participants and by MM participants as reflected in the more creative performance and more successful proving processes demonstrated by MO participants. We argue that problem posing and problem solving are inseparable when MO experts are engaged in PPI.

scholarly journals Nature of metacognition in a dynamic geometry environment

2015 ◽  
Vol 3 (5) ◽  
pp. 627-646
Author(s):  
Ana Kuzle
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Dynamic Geometry Environment ◽  
Mathematics Problem Solving ◽  
Managerial Decisions ◽  
Metacognitive Processes ◽  
Geometry Problem ◽  
Mathematics Problem

This case study examined the metacognitive processes of a preservice teacher when solving a nonroutine geometry problem in a dynamic geometry environment. The main purpose of the study was to uncover and investigate patterns of metacognitive processes and to understand what circumstances, situations, and interactions in a dynamic geometry environment promoted metacognitive behaviors. An adaptation of Schoenfeld’s (1981) model of episodes and executive decisions in mathematics problem solving, and the theory of instrumentation (Rabardel, 2001) was used to identify patterns of metacognitive processes in a dynamic geometry environment. During different phases of problem solving the participant engaged in different metacognitive behaviors whereas the dynamic geometry software supported strategies that are available and/or not available on paper and pen. The effectiveness of solution paths was dependent on the presence of managerial decisions, and well-orchestrated usage of different resources, both knowledge and technology. However, the results of the study call to question to which extent engagement in metacognitive behaviors is necessarily desirable or productive.

scholarly journals Comparison of prospective mathematics teachers’ problem posing abilities in paper-pencil test and on dynamic geometry environment in terms of creativity

2020 ◽  
Vol 9 (3) ◽  
pp. 243
Author(s):  
MEHMET FATIH ÖÇAL ◽  
TUĞRUL KAR ◽  
GÜRSEL GÜLER ◽  
ALI SABRI İPEK
Keyword(s):  
Mathematics Teachers ◽  
Prospective Teachers ◽  
Creative Thinking ◽  
Dynamic Geometry ◽  
Thinking Skills ◽  
Problem Posing ◽  
Dynamic Geometry Environment ◽  
Mathematical Concepts ◽  
Prospective Mathematics Teachers

This study aims to investigate the similarities and differences between prospective mathematics teachers’ creative thinking skills in paper-pencil test and on a Geogebra-supported environment in terms of problem-posing. This case study used purposive sampling method for determining the participants. Findings revealed that the activities carried out in the GeoGebra-supported environment were insufficient to produce creative problems, and GeoGebra’s main utility to prospective teachers was in identifying their mistakes related to mathematical concepts and discrepancies among numerical values of the problems posed. The reasons for the low achievement in posing problem were discussed: These were; (i) lack of problem-posing experience, (ii) the structure of problem-posing activity, and (iii) prospective teachers’ mathematical content knowledge.

scholarly journals Management of an Industry Standard Class in Vocational High Schools

2018 ◽  
Vol 24 (1) ◽  
pp. 46-51
Author(s):  
Suroto Suroto ◽  
Nguyen Tien Hung
Keyword(s):  
High Schools ◽  
Qualitative Study ◽  
Teaching And Learning ◽  
The Third ◽  
Industry Partner ◽  
Industry Standard ◽  
Learning Evaluation ◽  
Vocational High Schools ◽  
Using Data ◽  
Selection Of

To remove a growing gap between students’ skills received in vocational high schools and real demands in the workforce, industries should be actively involved not only as external users but to work in curriculum development and learning evaluation. This study describes the process of planning, implementation, and supervision of an industry standard class resulted from collaboration between the school and the industry. This study was a qualitative study using data collection techniques of interviews, observation and documentation. The results revealed (1) the industry and the school were partners in planning the industry standard class including development of curriculum, facilities, infrastructure, teachers, and materials, (2) implementation of the class included theoritical and practical learning, and industry practices, (3) supervision was performed by the industry partner administrating industry standard competency tests, and (4) management of the class consisted of three sequenced stages namely selection of students in the third semester, implementation of industry standardized teaching and learning process from the third semester to the sixth semester, and a competency test in the sixth semester.

scholarly journals An instrumental orchestration for online course at the university level

Apertura ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 22-37
Author(s):  
José Orozco-Santiago ◽  
◽  
Carlos Armando Cuevas-Vallejo ◽  
Keyword(s):  
Mathematics Education ◽  
Engineering Students ◽  
Dynamic Geometry ◽  
Dynamic Geometry Environment ◽  
Synchronous Mode ◽  
Instrumental Orchestration ◽  
Video And Audio ◽  
The University ◽  
Eigenvalue And Eigenvector ◽  
Online Mathematics

In this article, we present a proposal for instrumental orchestration that organizes the use of technological environments in online mathematics education, in the synchronous mode for the concepts of eigenvalue and eigenvector of a first linear algebra course with engineering students. We used the instrumental orchestration approach as a theoretical framework to plan and organize the artefacts involved in the environment (didactic configuration) and the ways in which they are implemented (exploitation modes). The activities were designed using interactive virtual didactic scenarios, in a dynamic geometry environment, guided exploration worksheets with video and audio recordings of the work of the students, individually or in pairs. The results obtained are presented and the orchestrations of a pedagogical sequence to introduce the concepts of eigenvalue and eigenvector are briefly discussed. This work allowed us to identify new instrumental orchestrations for online mathematics education.

Transformation Opportunities Toward Knowledge-Based Urban Development and Its Challenges

2021 ◽  
pp. 1-22
Author(s):  
Aly Abdel Razek Galaby
Keyword(s):  
Urban Development ◽  
Secondary Data ◽  
The Third ◽  
Knowledge Based ◽  
Theoretical Perspectives ◽  
Development Policies ◽  
The World ◽  
Push Forward ◽  
Impact Assessment Methodology ◽  
The Impact

The current research discusses opportunities and challenges of knowledge-based urban development in Egypt, aims to monitor the actual opportunities provided by Egyptian policies for knowledge-based urban development, and highlights their most important challenges. The research relied on the impact assessment methodology, the opinion of some experts, analyzing secondary data, literature review, and statistical reports to track the paths of changes in knowledge-based development policies and their applications during the third millennium to reveal the most important challenges and constraints facing the experiences of knowledge cities and its precincts in the Egyptian society. The research concluded some recommendations to confront these challenges and push forward toward strengthening knowledge-based urban development in Egypt, based on what came from critical review f literature, theoretical perspectives, and policies and experiences of many countries of the world in this field.

scholarly journals Constitutional Democracy and Caretaker Committee in Nigeria Local Government System: An Assessment

2013 ◽  
pp. 110-123 ◽  
Author(s):  
Jude C Okafor ◽  
Ikechukwu H Orjinta
Keyword(s):  
Local Government ◽  
Local Governments ◽  
Government Reform ◽  
Constitutional Democracy ◽  
Financial Autonomy ◽  
The Third ◽  
Theoretical Perspectives ◽  
Nigerian Literature ◽  
The Impact ◽  
Subsequent Replacement

The 1976 Local Government Reform among other landmark changes unified the local government system in Nigeria, and the 1979 constitution made local governments the third tier of government and provided for a system of local government by democratically elected councils. More recently, elected local government councils have been dissolved and replaced with Transition Committees or Caretaker Committees appointed by the Governors’ of their respective states. This paper therefore, examines the impact of the caretaker committees in Nigerian Local Government on the practice of constitutional democracy. The discussion is framed by the theoretical perspectives and Nigerian literature on local government and constitutional democracy, and by the recent phenomenal wave of dissolving elected local government councils and subsequent replacement with caretaker committees. Contrary to popular belief, that local government as the third tier of government has failed to achieve the objective for which it was created, this paper observes that party politics has been the bane of Nigerian local government since its inception, and that democratically elected local councils with political and financial autonomy are the major conditions for an effective and efficient multi-purpose local government system in Nigeria.

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