Fragkiskos Kalavasis | University of the Aegean (original) (raw)

Uploads

Papers by Fragkiskos Kalavasis

Research paper thumbnail of Décrire l’indescriptible : les schémas de la complexité dans l’éducation

Le Code de la propriété intellectuelle et artistique n'autorisant, aux termes des alinéas 2 et 3 ... more Le Code de la propriété intellectuelle et artistique n'autorisant, aux termes des alinéas 2 et 3 de l'article L.122-5, d'une part, que les « copies ou reproductions strictement réservées à l'usage privé du copiste et non destinées à une utilisation collective » et, d'autre part, que les analyses et les courtes citations dans un but d'exemple et d'illustration, « toute représentation ou reproduction intégrale, ou partielle, faite sans le consentement de l'auteur ou de ses ayants droit ou ayants cause, est illicite » (alinéa 1er de l'article L. 122-4). Cette représentation ou reproduction, par quelque procédé que ce soit, constituerait donc une contrefaçon sanctionnée par les articles 425 et suivants du Code pénal

Research paper thumbnail of Re-constructing the Image of Mathematics Through the Diversity of the Historical Journeys of Famous Mathematicians

Advances in mathematics education, 2023

Research paper thumbnail of Analyse d'un questionnaire sur l'introduction des nouvelles technologies dans l'enseignement en Grèce: compétences des maîtres et perspectives pédagogiques

Quelque 650 stagiaires ont ete interroges au debut de leur session d'information aux nouvelle... more Quelque 650 stagiaires ont ete interroges au debut de leur session d'information aux nouvelles technologies. Seuls 10 % des stagiaires, mathematiciens ou physiciens, ont, sur ces technologies, des connaissances precises ; mais presque tous, quel que soit leur niveau, envisagent tres favorablement une utilisation pedagogique de la machine

Research paper thumbnail of A Systemic Approach to Authentic Evaluation in Education

Authentic Assessment and Evaluation Approaches and Practices in a Digital Era, 2021

Research paper thumbnail of Steering Scientific Committee

Research paper thumbnail of Mathematics as a Discipline and as a School Course: A Systemic Comparative Study Conducted in Brazil and Greece About the In-Service School Principals’ Constructions

Jornal Internacional de Estudos em Educação Matemática, Dec 15, 2015

Em todos os sistemas educacionais hierárquicos são importantes os pontos de vista dos diretores d... more Em todos os sistemas educacionais hierárquicos são importantes os pontos de vista dos diretores de escola, pois eles afetam crucialmente as práticas de sala de aula e as relações entre todos os protagonistas da unidade escolar. Neste trabalho, adotamos aspectos da abordagem para a teoria dos sistemas, com o objetivo de investigar os pontos de vista dos diretores em serviço sobre a matemática, tanto como uma disciplina curricular como as práticas gerenciais do sistema de ensino, buscando entender as interações entre seus pontos de vista em relação à matemática e à organização dessa disciplina no sistema. A Matemática no contexto escolar foi investigada considerando três focos: as representações simbólicas/ regulamentares, as representações pragmáticas e as intencionalidades das ações adotadas. Um estudo comparativo qualitativo foi realizado em pequena escala (N = 59), incluindo diretores de escolas públicas em serviço em uma região de São Paulo, no Brasil (NB = 29) e diretores de escolas da Grécia (NG = 30). Os resultados das comparações intraculturais e interculturais sugerem convergências e divergências noemáticas entre

Research paper thumbnail of Teaching mathematics to first grade Romany children, through familiar every day money dealings

This study examines the conditions in which the informal cognition children acquire through their... more This study examines the conditions in which the informal cognition children acquire through their every day experience is a suitable didactical context, in relation to the cultural particularities of the student group and its participation in the school. More specifically, an experiment was conducted to examine whether the informal cognition Romany children acquire through the money dealings in which they are involved, could be a working didactical context for teaching mathematics in a first grade education. It seems that the use of this context leads to the improvement in math education of this particular cultural group only if we use in the classroom very concrete money units. The results are different when we keep the context - money dealings - but we use money units unfamiliar to them, as units of small value are. A comparative study shows that this context is an ineffective one when the student group has not the same cultural particularities and school behavior.

Research paper thumbnail of Role Playing: An Environment for the Development of Students' Metadiscursive Reflection in Mathematics

Students’ beliefs about their own role, the role of their classmates and the teacher’s role influ... more Students’ beliefs about their own role, the role of their classmates and the teacher’s role influence the way that the members of a mathematics classroom interact among them. The stabilization of concrete behavior by the participants in a mathematics classroom obstacles the development of a productive cooperation in mathematics. In this paper we tried to investigate the opportunities that the role playing offers to the development of students’ metadiscursive reflection in mathematics. Role playing allowed the focus of students’ reflection on the evolution of their cooperation in mathematics. Also, it helped them to reflect on their beliefs concerning the role of cooperation in mathematics learning.

Research paper thumbnail of Learning Paths and Teaching Bridges: The Emergent Mathematics Classroom within the Open System of a Globalised Virtual Social Network

Advances in Mathematics Education, 2017

In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ ma... more In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ mathematics classroom, in order to investigate the views of primary school teachers, principals and school advisors about mathematics and social network sites (SNS) across and within two interrelated systems: the scientific disciplines and the school unit (including the symbolic/normative level, pragmatic representations of the school practices, and the personal desired/intentioned actions). This inter-systemic, tri-focussed perspective allows the meaningful re-approach of the emergent classroom and is operationalised with a questionnaire, which constitutes a pragmatic diagnostic-hermeneutic-research tool informing the decision-making of educators and policy makers.

Research paper thumbnail of An instrument for errors' evaluation and decision's prevention in primary school

Research paper thumbnail of Games as a Mathematical Activity: the coexistence of differing perceptions in the primary school community (teachers, students, parents)

also develop students valuable modes of thought, increase the connections between students' separ... more also develop students valuable modes of thought, increase the connections between students' separate pieces of mathematical knowledge, reinforce their current knowledge, challenge their positive attitude towards the subject and improve their successful mathematical learning and understanding. Children learn how to cooperate and get along with their peers and their teachers (Ceglowski, 1997), as well as to improve their interaction with their parents (Hansen, 2005). Bishop (1991) considers play as one of the six "universal mathematical activities of all cultures".

Research paper thumbnail of Learning Paths and Teaching Bridges: The Emergent Mathematics Classroom within the Open System of a Globalised Virtual Social Network

Advances in Mathematics Education, 2017

In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ ma... more In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ mathematics classroom, in order to investigate the views of primary school teachers, principals and school advisors about mathematics and social network sites (SNS) across and within two interrelated systems: the scientific disciplines and the school unit (including the symbolic/normative level, pragmatic representations of the school practices, and the personal desired/intentioned actions). This inter-systemic, tri-focussed perspective allows the meaningful re-approach of the emergent classroom and is operationalised with a questionnaire, which constitutes a pragmatic diagnostic-hermeneutic-research tool informing the decision-making of educators and policy makers.

Research paper thumbnail of The interrelationships of mathematics and the school unit as viewed by prospective and in-service school principals: a systems theory approach

Research paper thumbnail of A Didactical Classification of Probability Problems Linked with their Formulation

Research paper thumbnail of Φύλο και μαθηματικά: αναγκαιότητα μιας συνολικής επαναδιαπραγμάτευσης των μαθηματικών στην εκπαίδευση

Research paper thumbnail of Μοντέλα σχολικών διαδρομών μαθητών: Η περίπτωση της Δωδεκανήσου

Research paper thumbnail of The interrelationships of mathematics and the school unit as viewed by prospective and in-service school principals: a systems theory approach

Research paper thumbnail of The Learning and Teaching of Mathematics as an Emergent Property Through Interacting Systems and Interchanging Roles: A Commentary

Advances in Mathematics Education, 2015

Research paper thumbnail of Η αυξανόμενη πολλαπλότητα των ερευνητικών εργαλείων στη Διδακτική των Μαθηματικών

Research paper thumbnail of Interdisciplinarity and Complexity (I-C) in Mathematics Education: A proposal for their systematic implementation and the role of an international scientific community

Research paper thumbnail of Décrire l’indescriptible : les schémas de la complexité dans l’éducation

Le Code de la propriété intellectuelle et artistique n'autorisant, aux termes des alinéas 2 et 3 ... more Le Code de la propriété intellectuelle et artistique n'autorisant, aux termes des alinéas 2 et 3 de l'article L.122-5, d'une part, que les « copies ou reproductions strictement réservées à l'usage privé du copiste et non destinées à une utilisation collective » et, d'autre part, que les analyses et les courtes citations dans un but d'exemple et d'illustration, « toute représentation ou reproduction intégrale, ou partielle, faite sans le consentement de l'auteur ou de ses ayants droit ou ayants cause, est illicite » (alinéa 1er de l'article L. 122-4). Cette représentation ou reproduction, par quelque procédé que ce soit, constituerait donc une contrefaçon sanctionnée par les articles 425 et suivants du Code pénal

Research paper thumbnail of Re-constructing the Image of Mathematics Through the Diversity of the Historical Journeys of Famous Mathematicians

Advances in mathematics education, 2023

Research paper thumbnail of Analyse d'un questionnaire sur l'introduction des nouvelles technologies dans l'enseignement en Grèce: compétences des maîtres et perspectives pédagogiques

Quelque 650 stagiaires ont ete interroges au debut de leur session d'information aux nouvelle... more Quelque 650 stagiaires ont ete interroges au debut de leur session d'information aux nouvelles technologies. Seuls 10 % des stagiaires, mathematiciens ou physiciens, ont, sur ces technologies, des connaissances precises ; mais presque tous, quel que soit leur niveau, envisagent tres favorablement une utilisation pedagogique de la machine

Research paper thumbnail of A Systemic Approach to Authentic Evaluation in Education

Authentic Assessment and Evaluation Approaches and Practices in a Digital Era, 2021

Research paper thumbnail of Steering Scientific Committee

Research paper thumbnail of Mathematics as a Discipline and as a School Course: A Systemic Comparative Study Conducted in Brazil and Greece About the In-Service School Principals’ Constructions

Jornal Internacional de Estudos em Educação Matemática, Dec 15, 2015

Em todos os sistemas educacionais hierárquicos são importantes os pontos de vista dos diretores d... more Em todos os sistemas educacionais hierárquicos são importantes os pontos de vista dos diretores de escola, pois eles afetam crucialmente as práticas de sala de aula e as relações entre todos os protagonistas da unidade escolar. Neste trabalho, adotamos aspectos da abordagem para a teoria dos sistemas, com o objetivo de investigar os pontos de vista dos diretores em serviço sobre a matemática, tanto como uma disciplina curricular como as práticas gerenciais do sistema de ensino, buscando entender as interações entre seus pontos de vista em relação à matemática e à organização dessa disciplina no sistema. A Matemática no contexto escolar foi investigada considerando três focos: as representações simbólicas/ regulamentares, as representações pragmáticas e as intencionalidades das ações adotadas. Um estudo comparativo qualitativo foi realizado em pequena escala (N = 59), incluindo diretores de escolas públicas em serviço em uma região de São Paulo, no Brasil (NB = 29) e diretores de escolas da Grécia (NG = 30). Os resultados das comparações intraculturais e interculturais sugerem convergências e divergências noemáticas entre

Research paper thumbnail of Teaching mathematics to first grade Romany children, through familiar every day money dealings

This study examines the conditions in which the informal cognition children acquire through their... more This study examines the conditions in which the informal cognition children acquire through their every day experience is a suitable didactical context, in relation to the cultural particularities of the student group and its participation in the school. More specifically, an experiment was conducted to examine whether the informal cognition Romany children acquire through the money dealings in which they are involved, could be a working didactical context for teaching mathematics in a first grade education. It seems that the use of this context leads to the improvement in math education of this particular cultural group only if we use in the classroom very concrete money units. The results are different when we keep the context - money dealings - but we use money units unfamiliar to them, as units of small value are. A comparative study shows that this context is an ineffective one when the student group has not the same cultural particularities and school behavior.

Research paper thumbnail of Role Playing: An Environment for the Development of Students' Metadiscursive Reflection in Mathematics

Students’ beliefs about their own role, the role of their classmates and the teacher’s role influ... more Students’ beliefs about their own role, the role of their classmates and the teacher’s role influence the way that the members of a mathematics classroom interact among them. The stabilization of concrete behavior by the participants in a mathematics classroom obstacles the development of a productive cooperation in mathematics. In this paper we tried to investigate the opportunities that the role playing offers to the development of students’ metadiscursive reflection in mathematics. Role playing allowed the focus of students’ reflection on the evolution of their cooperation in mathematics. Also, it helped them to reflect on their beliefs concerning the role of cooperation in mathematics learning.

Research paper thumbnail of Learning Paths and Teaching Bridges: The Emergent Mathematics Classroom within the Open System of a Globalised Virtual Social Network

Advances in Mathematics Education, 2017

In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ ma... more In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ mathematics classroom, in order to investigate the views of primary school teachers, principals and school advisors about mathematics and social network sites (SNS) across and within two interrelated systems: the scientific disciplines and the school unit (including the symbolic/normative level, pragmatic representations of the school practices, and the personal desired/intentioned actions). This inter-systemic, tri-focussed perspective allows the meaningful re-approach of the emergent classroom and is operationalised with a questionnaire, which constitutes a pragmatic diagnostic-hermeneutic-research tool informing the decision-making of educators and policy makers.

Research paper thumbnail of An instrument for errors' evaluation and decision's prevention in primary school

Research paper thumbnail of Games as a Mathematical Activity: the coexistence of differing perceptions in the primary school community (teachers, students, parents)

also develop students valuable modes of thought, increase the connections between students' separ... more also develop students valuable modes of thought, increase the connections between students' separate pieces of mathematical knowledge, reinforce their current knowledge, challenge their positive attitude towards the subject and improve their successful mathematical learning and understanding. Children learn how to cooperate and get along with their peers and their teachers (Ceglowski, 1997), as well as to improve their interaction with their parents (Hansen, 2005). Bishop (1991) considers play as one of the six "universal mathematical activities of all cultures".

Research paper thumbnail of Learning Paths and Teaching Bridges: The Emergent Mathematics Classroom within the Open System of a Globalised Virtual Social Network

Advances in Mathematics Education, 2017

In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ ma... more In this chapter, we adopt a systemic approach to the phenomenology of the emergent ‘connected’ mathematics classroom, in order to investigate the views of primary school teachers, principals and school advisors about mathematics and social network sites (SNS) across and within two interrelated systems: the scientific disciplines and the school unit (including the symbolic/normative level, pragmatic representations of the school practices, and the personal desired/intentioned actions). This inter-systemic, tri-focussed perspective allows the meaningful re-approach of the emergent classroom and is operationalised with a questionnaire, which constitutes a pragmatic diagnostic-hermeneutic-research tool informing the decision-making of educators and policy makers.

Research paper thumbnail of The interrelationships of mathematics and the school unit as viewed by prospective and in-service school principals: a systems theory approach

Research paper thumbnail of A Didactical Classification of Probability Problems Linked with their Formulation

Research paper thumbnail of Φύλο και μαθηματικά: αναγκαιότητα μιας συνολικής επαναδιαπραγμάτευσης των μαθηματικών στην εκπαίδευση

Research paper thumbnail of Μοντέλα σχολικών διαδρομών μαθητών: Η περίπτωση της Δωδεκανήσου

Research paper thumbnail of The interrelationships of mathematics and the school unit as viewed by prospective and in-service school principals: a systems theory approach

Research paper thumbnail of The Learning and Teaching of Mathematics as an Emergent Property Through Interacting Systems and Interchanging Roles: A Commentary

Advances in Mathematics Education, 2015

Research paper thumbnail of Η αυξανόμενη πολλαπλότητα των ερευνητικών εργαλείων στη Διδακτική των Μαθηματικών

Research paper thumbnail of Interdisciplinarity and Complexity (I-C) in Mathematics Education: A proposal for their systematic implementation and the role of an international scientific community