Abstract/Notes: The goal of the presented work was to determine whether and how individualization, differentiation, and personalization are utilized in the principles of the selected programs and in the teachers’ beliefs and practices in the teaching of mathematics at elementary school. In order to collect data, six teachers in the Czech Republic were selected with three different approaches to teaching– Scheme oriented approach, child–centred educational approach, and an undesignated mainstream approach. The basic concepts and all three selected approaches to teaching were defined in the theoretical part of the work. In the experimental part, episodes from interviews about beliefs and practices identified in teaching were interpreted within the context of characteristics of individualization, differentiation, and personalization. Practices such as the use of textbooks and homework assignments were specifically described. The study shows that teachers of a scheme-oriented approach and a child–centred educational approach use elements of individualization, differentiation, and personalization in their practices. Individualization appears in the teaching of the undesignated mainstream approach, but this approach does not contain aspects of differentiation and personalization. The analysis in all monitored areas of selected teachers indicates which of the characteristics prevail in individual teachers’ work and the approaches. The research confirmed that selected teachers in all three approaches (Hejny method, Montessori method and an undesignated) individualize, differentiate, or personalize to some extent. / Cílem předkládané práce bylo popsat, zda a jak jsou uplatňována individualizace, diferenciace a personalizace ve vybraných programech, jejich principech, učitelských přesvědčeních a praktikách ve výuce matematiky na prvním stupni základní školy. Za účelem sběru dat bylo vybráno šest učitelů se třemi odlišnými přístupy k výuce – výuka orientovaná na budování schémat, pedocentricky orientovaná metoda a nevyhraněný přístup hlavního vzdělávacího proudu v České republice. V teoretické části práce byly definovány základní pojmy a vymezeny všechny tři vybrané přístupy k výuce. V experimentální části byly na pozadí charakteristik individualizace, diferenciace a personalizace interpretovány epizody z rozhovorů o přesvědčeních a praktikách sledovaných při výuce. Z praktik bylo konkrétně popsáno užití učebnic a zadávání domácích úkolů. Ukázalo se, že učitelé ve výuce orientované na budování schémat i učitelé pedocentricky orientované metody využívají při výuce prvky individualizace, diferenciace i personalizace. U učitelů v nevyhraněném přístupu hlavního proudu se objevuje individualizace. Analýza ve všech sledovaných oblastech u vybraných učitelů naznačuje, které z charakteristik převažují u jednotlivých učitelů a přístupů (v Hejného metodě, montessoriovské metodě a nevyhraněném přístupu).

Language: English

Published: Prague, Czechia, 2023

Abstract/Notes: Learning media has an important role in learning mathematics because mathematics is an abstract science and requires a deep understanding of concepts. Students have difficulty in understanding mathematics due to the teacher's monotonous explanation in class without any learning media or epraga tools. Fun learning media is interactive learning media, which allows students to use the media themselves and interact both with other students and with teachers. One example of interactive learning media is Montessori learning media. Based on observations at partner locations, it was found that mathematics teachers in elementary and secondary schools have never used Montessori learning media, therefore training on the use of Montessori-based learning media is needed for elementary and secondary school teachers so that classroom learning runs optimally in accordance with learning objectives. Training on the use of Montessori-based learning media has a positive impact on teachers, it can be seen from the final questionnaire of the training participants provide positive feedback, to this training activity, namely with data interpretation of 96%.

Language: English

DOI: 10.58258/abdi.v5i2.6251

ISSN: 2715-9108

Language: English

ISSN: 0040-7887

Language: German

Published: Innsbruck, Germany: Studien Verlag, 2009

Edition: 1st ed.

ISBN: 978-3-7065-4721-5 3-7065-4721-X

Series: Initiative neues Lernen

Abstract/Notes: Making math instruction accessible to students can be a challenge, particularly when students have limited English proficiency. This paper explores how teachers can best suit the needs of their non-native English speakers when teaching math. Teacher affect, visuals and translanguaging are used in this study in an attempt to boost student confidence and academic progress. These strategies result in an increase in student confidence and engagement, as measured by a math attitude survey as well as observation data. Centered around a Montessori classroom, this paper shows how aspects of the Montessori philosophy cater to English learners and suggests additional supports that may be beneficial.

Language: English

Published: River Falls, Wisconsin, 2023

Abstract/Notes: One of the best-known quotes in pedagogical literature is Maria Montessoris “Help me to do it myself.” This citation can be applied to many open questions. For example, how to help students working autonomously on cognitively demanding tasks is not only an unanswered question in didactical literature, but there has also been relatively little research done in this area.

Language: English

DOI: 10.1007/s11858-005-0015-3

ISSN: 1863-9704

Language: English

Published: Chicago, Illinois: American Montessori Society, 1963

Abstract/Notes: History is replete with politically and ideologically motivated resistance to change in...

Language: English

ISSN: 0272-8893

Abstract/Notes: Neste artigo, discutimos os fundamentos para o ensino da Matemática na Pedagogia Tradicional e na Pedagogia Nova, marcadamente, a partir das teorias de fronteira de Comenius, Pestalozzi e Montessori. Esta pesquisa é de cunho documental e bibliográfico. Ao final da análise, concluímos que: há uma circulação de ideias entre o pensamento educacional de Comenius, Pestalozzi e Maria Montessori no que diz respeito ao uso de materiais didáticos e que nos métodos por estes pensadores a Matemática está associada às atividades práticas e gradativas. [In this article, we discuss the fundamentals for the teaching of Mathematics in Traditional Pedagogy and New Pedagogy, markedly, based on theories of Comenius, Pestalozzi and Montessori. This research is documental and bibliographic. At the end of the analysis, we conclude that: there is a circulation of ideas between the educational thoughts of Comenius, Pestalozzi and Maria Montessori regarding the use of didactic materials and that in the methods proposed by these thinkers Mathematics is associated with practical and gradual activities.]

Language: English, Portuguese

DOI: 10.1590/0104-4060.64213

ISSN: 0104-4060, 1984-0411

Abstract/Notes: The present call for structured mathematics programmes in preschools continues a trend from the nineteenth century, in which young children’s lack of mathematical knowledge was considered to have a detrimental effect on their individual futures and those of the wider society. In this paper, an investigation of the philosophies behind several early childhood programmes shows that there is a long-standing acceptance that those not living in poverty should make decisions about the education, including the mathematics education, that children who are living in poverty should engage in. Consequently, the philosophies behind these programmes, and with them the advocated mathematics education, contribute to a homogenised view of the child. This fails to recognise the attributes that children and their communities have and situates those living in poverty as being deviant. The strong promotion in this century of structured mathematics education programmes is solidifying this homogenising process in a manner not seen in previous early childhood programmes.

Language: English

DOI: 10.1007/s11858-014-0578-y

ISSN: 1863-9704