The Theory of Mathematical Working Spaces in Brief

Kuzniak, Alain; Nechache, Assia; Richard, Philippe

doi:10.1007/978-3-030-90850-8_3

Cited by 7 publications

(9 citation statements)

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“…The results suggest that an opportunity exists for future studies to consider qualitative research focused on education levels including early childhood, primary, and adult education, where mathematical work can be strengthened based on teacher education and the efforts of teacher educators. Meanwhile, quantitative research approaches have been less utilized from this theoretical perspective, and they could be considered, for example, in mixed-methods research or projects (Creswell & Creswell, 2023) in which MWS theory could contribute not only to describing or characterizing mathematical work, but also to understanding and transforming MWS (Kuzniak et al, 2022). The latter point in particular (transforming MWS) stands out as a key opportunity for future research.…”

Section: Discussionmentioning

confidence: 99%

“…The theory of MWS is currently in a period of advancement, which leads to the consideration of both theoretical and methodological aspects of research that is underpinned by this framework Kuzniak y Nechache, 2021;Nechache & Gómez-Chacón, 2022). Its main purpose within mathematics education is to describe, understand, and transform mathematical work in educational contexts (Kuzniak et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

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Advances and trends in research on mathematical working spaces: A systematic review

Panqueban,

Henríquez-Rivas,

Kuzniak

2024

EURASIA J Math Sci Tech Ed

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This study addresses the research developed around the theory of mathematical working spaces (MWS). To this end, factors such as researchers’ country of origin are considered, as well as methodological characteristics, proposed objectives in each study, specific theoretical factors, and the links between MWS and other theoretical perspectives. This systematic review follows the guidelines stated by reporting items for systematic reviews and meta-analyses for documenting each stage of the review. In total, 102 studies were considered from databases including Dialnet, SciElo, Scopus, and Web of Science. The results help to illustrate research trends in MWS theory, as well as the possibility of fertile ideas for new studies and future lines of research for those interested in this theoretical approach.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Advances and trends in research on mathematical working spaces: A systematic review

Panqueban,

Henríquez-Rivas,

Kuzniak

2024

EURASIA J Math Sci Tech Ed

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“…The main goal of the MWS analytical approach (Kuzniak et al, 2022) is to characterise mathematical work performed in an educational context to facilitate and improve the conditions in which the teaching-learning process of mathematics occurs. For this, the MWS theory considers two dimensions: epistemological and cognitive, represented as horizontal planes in Fig.…”

Section: Theoretical Background Mathematical Working Spaces (Mws)mentioning

confidence: 99%

“…For the model of the Mathematical Working Spaces (MWS) (Kuzniak et al, 2016;Kuzniak et al, 2022), there is an interest in understanding how reality affects the development of a mathematical task (Lagrange, 2018) or in types of mathematical tasks located in reality to encourage didactic approaches for teaching and learning. This topic has been considered in the last international symposia on mathematical work (Nechache, 2018;Guerrero-Ortiz & Henríquez-Rivas, 2018), generating complementarity between modelling and ETM, promoting the design of modelling tasks based on real contexts.…”

Section: Introductionmentioning

confidence: 99%

Articulación entre Modelización y Espacios de Trabajo Matemático. Análisis de una Tarea bajo el ciclo de Blomhøj en Educación Superior

et al. 2023

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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.

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“…Así mismo, Kuzniak et al (2020) mencionan que cuando los profesores en formación inicial usan herramientas clásicas o digitales por separado presentan dificultades en su uso.…”

Section: Introductionunclassified

Health Condition Performance Index of Two Cities in the Brazil/Bolivia Border Region

Paraguassú-Chaves,

Cavalcante,

Almeida

et al. 2024

Explorando O Universo Da Matemática: Teoria E Aplicações 2

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The Theory of Mathematical Working Spaces in Brief

Cited by 7 publications

References 0 publications

Advances and trends in research on mathematical working spaces: A systematic review

Advances and trends in research on mathematical working spaces: A systematic review

Articulación entre Modelización y Espacios de Trabajo Matemático. Análisis de una Tarea bajo el ciclo de Blomhøj en Educación Superior

Health Condition Performance Index of Two Cities in the Brazil/Bolivia Border Region

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