Towards a Problématique for Research on Mathematics Teaching

1990 ◽  
Vol 21 (4) ◽  
pp. 258-272
Author(s):  
Nicolas Balacheff

This article presents the main features of the theoretical framework of French research known as recherches en didactique des mathématiques. The foundation of this approach consists mainly of the relationships between two hypotheses and two constraints, which are presented together with some specific key words. Outlines are given of Brousseau's théorie des situations didactiques (theory of didactical situations). An example is given that presents in some detail the rationale for the construction of a didactical situation and its analysis. This article ends with some questions addressed to research on mathematics teaching.

Author(s):  
Erich Christian Wittmann

AbstractThe objective of this introductory chapter is to explain the common rationale behind the papers of this volume. The structure is as follows. The first section shows that learning environments are a natural way to address teachers in their main role, teaching, and that therefore this approach is promising for improving mathematics teaching in an effective way. The section ends with a teaching model based on Guy Brousseau’s theory of didactical situations.


2015 ◽  
Vol 4 (3) ◽  
pp. 245-260 ◽  
Author(s):  
Stéphane Clivaz

Purpose – The purpose of this paper is to present French Didactique des Mathématiques (DM) to the Lesson Study (LS) community. Design/methodology/approach – This theoretical paper presents the origins of DM in the Theory of Didactical Situations (TDS) by Brousseau. It elaborates about didactical engineering, fundamental situation and other fundamental concepts. It briefly presents other Didactique theories: the theory of conceptual fields, the anthropological theory of the didactic, the joint action theory in didactics and the double approach. It considers importance of the (TDS) and influences over teaching of mathematics. This paper finishes by highlighting the ways Didactique and LS could contribute to each other in a profitable dialogue. Findings – The paper contrasts DM with some LS main features. It highlights the parallels despite fundamental differences in the initial goals of the perspectives. It shows that these differences could lead to productive dialogue by producing more practice-oriented forms of didactical engineering for the first and making teachers’ principles for lessons more explicit for the latter. Originality/value – The paper presents a very quick overview of the parallels between DM and LS. Additionally, this paper gives many accessible references in English for the reader to explore Didactique further.


2021 ◽  
Vol 19 (1 Jan-Jun) ◽  
Author(s):  
S. A. De Souza Farias ◽  
Damiao Pedro Meira Filho ◽  
J. K. Santos Kamassury

Notions of Electromagnetism and Special Theory of Relativity (STR) require important mathematical knowledge applied to theoretical physics. Recognizing pedagogical difficulties in the teaching of theoretical physics, the Theory of Didactical Situations (TDS), which consists of a set of practices that aim to contribute to the improvement of mathematics teaching. In this context, the present work is motivated to present a set of practices based on TDS with a focus on teaching Electromagnetism and STR, where problems that require an understanding of the transformations of Galileo and Lorentz. Specifically, the didactic situation is constructed by means of four problem proposals, while in the adidatic situation, the student is invited to understand the roles of these transformations in the study of these problems. Ultimately, the relevance of the educator in the institutionalization situation is reinforced, a moment when it must be clarified how all mathematical relations are strongly related to physical principles.


2018 ◽  
Vol 7 (3) ◽  
pp. 172-183 ◽  
Author(s):  
Stéphane Clivaz

Purpose The purpose of this paper is to elaborate on the commonality between the Theory of Didactical Situations (TDS) and lesson study to propose a model of lesson study using both the predominant graphical representation of lesson study by Lewis and the model of the didactical situation at the heart of TDS by Brousseau. Design/methodology/approach Starting by describing and adapting the predominant graphical representation of lesson study by Lewis and the model of the didactical situation at the heart of TDS by Brousseau, the paper integrates the two representations to highlight the commonalities between the students’ learning situation and the teachers’. Based on this integrated graphical representation, the key phases of lesson study are then conceptualised by the mean of the dialectic between didactical and adidactical situation. Findings The reflection about the use of the TDS graphical representation embedded in the lesson study diagram helps the reflection on the use of TDS itself to analyse lesson study. This theoretical analysis describes the process of teacher learning in lesson study and the link between their learning and the student’s. It also shows that lesson study is a good candidate for the fundamental situation of the knowledge for teaching. Originality/value The graphical conceptualisation of lesson study as a learning situation for teachers offers new insight about how teachers learn in lesson study.


1998 ◽  
Vol 29 (5) ◽  
pp. 595-601
Author(s):  
Carolyn Kieran

Members of the English-speaking mathematics education research community have long been awaiting the day when they could become better acquainted with Guy Brousseau's Theory of Didactical Situations. Brousseau, who is a professor of didactique des mathématiques at the Institut de Formation des Maîtres d'Aquitaine of the University of Bordeaux in France, is one of mathematics education research's pioneers. From the early 1960s (when he gave birth to an ambitious project aimed at scientifically determining the best way of teaching mathematics to elementary school children) to the present (when he continues to work with pupils and teachers from the preschool to university levels and with research collaborators both at home and abroad), his impact has been considerable. Even though Brousseau began developing key concepts of his Theory as long as 30 years ago, direct access to his writings and those of his colleagues and students has been possible only for those who could read the French language. For several decades, non–francophone researchers have been wanting to get to the original sources that introduced concepts such as didactical contract, adidactical situation, institutionalization, and so on–concepts that have been referred to and interpreted in countless international research texts. In response to this need, the editors of this volume have selected from among Brousseau's papers those written between 1970 and 1990 that best exemplify the components of the Theory. But they have not only translated these papers, they have also edited, annotated, and organized them so as to provide a coherent and comprehensive presentation of the Theory of Didactical Situations.


2021 ◽  
Author(s):  
Veronica Escobar Olivo

This narrative qualitative study explored the lived experiences of Salvadoran refugees who came to Canada after fleeing the civil war in El Salvador. The research aimed to examine the experience of Salvadoran refugees who arrived between 1980 and 1992. During this period, the Canadian government enacted special measures which allowed for Salvadorans to seek refuge in Canada. The experiences shared by participants explored their experience with the traumas of war, migration and eventual settlement in Toronto. The theoretical framework drew on the coloniality of power and structuration theory. These experiences were considered within a broader context of what it meant to be a Salvadoran refugee in Toronto, both in ongoing connections to their country of origin and their country of settlement over thirty years later. The narratives of the participants provide insights into the complex negotiations into the experiences of refugees forced to flee and reorient themselves in a new society. Key words: Salvadoran, refugees, experiences, civil war, identity, Latinx, Toronto


ZDM ◽  
2020 ◽  
Author(s):  
Frode Rønning

AbstractThis paper is based on data from two teaching sequences in primary school that are designed using principles from the theory of didactical situations (TDS). The following research question is addressed: “What opportunities can a teaching design based on TDS give a teacher to gain insight into pupils’ language use, and to use this insight to establish shared, and mathematically acceptable, knowledge in a group of primary school pupils?” Empirical data from one teaching sequence on geometrical shapes and another teaching sequence on combinatorial problems are used to answer this question. The research shows that a sharp focus on well-defined learning goals does not limit the pupils’ possibilities in expressing their thoughts and ideas in their own language. The research also shows that despite clear learning goals, the teacher has rich opportunities to build on pupils’ language to connect everyday and scientific language for the purpose of developing a mathematically accepted discourse.


Author(s):  
Marianne Achiam ◽  
Bent Erik Kramer Lindow

Authentic science education has received increased attention in recent years, but it remains unclear what constitutes authenticity. Here, we use notions from the Anthropological Theory of the Didactic to approach authenticity. We take a point of departure in an existing education programme in a museum, and analyse it to pinpoint what constitutes its authenticity. We then use the theory of didactical situations as a way to construct a reference model; this reference model constitutes an authenticity-optimised version of the programme. We conclude by briefly discussing the implications of our findings.


Author(s):  
Rahmah Binti Ahmad Haji Othman

ملخص البحث: هذه المقالة تُعْنى بدراسة صورة البطولة في قصة "أحراج يعبد" بقلم روضة الهدهد، فمشاهدُ القصة مستوحاة من الواقع وبطلُها عزّ الدين القسَّام الذي قام بأدوار بطولية متعدّدة؛ أمّا مكانُ الحَبْكة ففلسطين وزمانُها بين عام 1920-1935م، والحَبْكةُ نفسها تتمثل في سلسلة من دراما المقاومة والتضحية وبذل الغالي والنفيس في سبيل تحرير الأرض والوطن والشعب من اليهود والصهاينة المغتصبين. وترمي هذه المقالة إلى وضْعِ عرضٍ تحليلي لقصة بطولية معاصرة واقعية بين أيدي القراء وخاصةً الأطفال منهم، والغرض من ذلك ربطُ القراءِ بواقعهم الذي يُعاينونه؛ وتربيةُ وغرسُ عنصر التضحية في نفوس أطفالنا منذ نعومة أظفارهم من جهةٍ، وتوعيةُ شبابنا في بذل المُهج والأموال في سبيل الحفاظ على الكرامة واسترداد الحقوق وخاصة ً الأراضي المحتلة في فلسطين من جهة أخرى. تُعنى المقالةُ أيضاً بالإطار النظري للقصة. توصلت الدراسة إلى أن هناك نقصاً في نماذج الأبطال الذين نتمثل بهم في مؤلفاتنا، وأن الشهيد عزّ الدين القسَّام قد نال شهادته، وأظهر بطولته في القتال ضدّ اليهود وإخوانه الذين كانوا أمثلة حيّة يحتذى بهم، كل الأبطال في هذه القصص العشرة يتصفون بالبطولة الجهادية، وهم الأبطال المجاهدون. الكلمات المفتاحية: البطولة- الشهيد – المجاهد – المثقّف -  القروية.   Abstract: This article investigates the images of heroic figures in Rawdah al-Hudhud’s short story, entitled The Forest of Yaʿbud. Izzedine al-Qassam, the protagonist in the story performs the heroic roles of a martyr, combatant, intellectual, countryman, nationalist and educator who feed the minds of his disciples and followers with knowledge and their souls with love of sacrifice. The plot of the story whose setting is Palestine and which occurred between 1920 -1935 consists of a series of drama replete with resistance, sacrifice, and dedication of the most precious thing for the sake of liberating one’s homeland and people from the Jews and Zionist occupation. Thus, the article presents the readers with an analytical presentation of a heroic-driven story taken from facts of our contemporary life insofar as to bring the readers closer to the reality they live. This article is also concerned with the theoretical framework of the story whereby the researcher sets to define some concepts contained in it. To fulfill this, the researchers apply the analytical approach whereby all heroic scenes in the story are analyzed. The study found that there is a shortage in the Champions models who represents them in books, and the Martyr Izzedine al-Qassam had obtained his testimony, showed heroism in the fight against the Jews with his brothers, whom were living examples to follow them, all the heroes in these ten stories are characterized tournament jihadist, they are heroes Mujahideen.   Key words: Heroic - Martyr - Mujahid - Dducator - Rural.   Abstrak: Makalah ini merupakan kupasan terhadap gambaran watak-watak keperwiraan di dalam cerpen nukilan Rawdah al-Hudhud berjudul ‘Aḥrāj Ya‘bud (Hutan ya‘ud). ‘Izuddīn al-Qassām protagonis cerita menonjolkan kepelbagaian watak yang meliputi seorang shahid, pejuang, cendiakiawan, negarawan, pejuang nasionalis dan juga seorang pendidik menyemaikan jiwa-jiwa murid dan pengikutnya dengan pengetahuan serta kecintaan terhadap pengorbanan. Plot penceritaan berlatarkan Palestin sekitar tahun-tahun 1920 sehingga 1935 yang mengandungi beberapa drama yang penuh dengan penentangan, pengorbanan dan dedikasi kepada tanahair tercinta untuk memerdekakan penduduknya daripada pendudukan Yahudi dan regim Zionis. Oleh itu, makalah ini bertujuan untuk menganalisa cerita yang penuh nilai keperwiraan ini dengan memberikan kerangka yang berteraskan kepada fakta-fakta semasa untuk mendekatkan pembaca kepada realiti kehidupan mereka. Kajian ini juga mengambil kira kerangka teoretikal cerita tersebut untuk tujuan mentakrifkan beberapa konsep yang terkandung di dalamnya. Untuk mencapai tujuan ini, pendekatan analitikal digunapakai dengan menganalisa keseluruhan babak keperwiraan cerita. Kajian mendapati terdapat kekurangan dalam model-model perwira yang ditampilkan oleh penulis; Izzudin al-Qaasam adalah seorang wira yang telah mendapat shahid, menunjukkan keberanian bersama dengan rakan-rakan perjuangannya dalam menentang  Yahudi sehingga menjadi ikon yang menjadi inspirasi perjuangan generasi seterusnya; kesemua wira-wira di dalam kesepuluh-sepuluh cerita tersebut mempunyai watak wira yang berjihad oleh itu mereka dianggap sebagai wira-wira jihad.   Kata kunci: keperwiraan –shahid – pejuang jihad – pendidik – pendalaman.


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