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In the context of cultural anthropology, people have known various mathematical activities, such as counting, measuring, and weighting, which have different terms based on each culture. We understand that mathematics emerges from people activities in responding to the existence of their environment. Sasak people conduct various cultural activities in their daily life. One of which is in agriculture and in the form of traditional arts, therefore, this study aims to build mathematical conceptions by exploring the activities of Sasak culture that can be integrated into mathematics learning contextually. This study was an ethnographic research. Data were collected through various literature studies, field observations, and interviews with savvy informants regarding Sasak culture, traditional farming system, and Sasak traditional arts. Research results indicated that the culture of Sasak people relevant with principles and characteristics of Realistic Mathematics Education (RME) is a learning approach that can be integrated, both explicitly and implicitly, Pada konteks antropologi budaya, masyarakat telah mengenal berbagai aktivitas matematika seperti membilang, menghitung, mengukur dan menimbang, dengan istilah yang berbeda dari masing-masing budaya. Kita pahami bahwa matematika muncul dari aktivitas masyarakat dalam merespon keberadaan lingkungan mereka. Masyarakat suku Sasak melakukan berbagai aktivitas budaya dalam kesehariannya. Diantaranya adalah pada aktivitas pertanian dan bentuk kesenian tradisional oleh karena itu tujuan dari penelitian ini adalah membangun konsepsi matematika melalui eksplorasi bentuk aktivitas budaya Sasak yang dapat diintegrasikan ke dalam pembelajaran matematika secara kontekstual. Penelitian ini merupakan kajian etnografi. Data dikumpulkan melalui berbagai studi literatur, observasi lapangan, dan wawancara dengan informan yang memahami budaya Sasak, sistem pertanian tradisional dan bentuk kesenian tradisional Sasak Hasil penelitian ini menunjukkan bahwa relevansi budaya masyarakat suku Sasak dengan prinsip dan karakteristik pendidikan matematika realistik (RME) sebagai pendekatan pembelajaran yang dapat diintegrasikan baik secara eksplisit maupun implisit

This paper explores misconceptions and errors (M/Es) of eighth-grade students in Nepal with a quasi-experimental design with nonequivalent control and experimental groups. The treatment was implemented with teaching episodes based on different remedial strategies of addressing students' M/Es. Students of control groups were taught under conventional teaching-learning method, whereas experimental groups were treated with a guided method to treat with misconceptions and errors. The effectiveness of treatment was tested at the end of the intervention. The results showed that the new guided treatment approach was found to be significant to address students' M/Es. Consequently, the students of experimental groups made significant progress in dealing with M/Es in mathematical problem-solving at conceptual, procedural, and application levels.

The objective or this research is to characterize the mathematical conceptions of future teachers in the resolution of ordinary differential equations in the context of argumentation. The collective argumentation concepts, the mathematical conceptions and ordinary differential equations constitute the research conceptual framework, reflected in the implementation of the enriched Toulmin model, a methodological tool that allows us to reconstruct the teachers’ conceptions from the mathematical argumentation. The findings of the research indicate that the mathematical conceptions of future teachers are grounded on representation systems and on the ways to prove solutions for ordinary differential equations in the case of orthogonal trajectories. El objetivo de esta investigación es caracterizar las concepciones matemáticas de futuros profesores en la resolución de ecuaciones diferenciales ordinarias en el contexto de la argumentación. Los conceptos de argumentación colectiva, las concepciones matemáticas y las ecuaciones diferenciales ordinarias constituyen el marco conceptual de la investigación, reflejados en la implementación del modelo enriquecido de Toulmin, una herramienta metodológica que permite reconstruir las concepciones de los profesores desde la argumentación matemática. Los resultados de la investigación señalan que las concepciones matemáticas de futuros profesores se fundamentan en los sistemas de representación y las formas para comprobar soluciones de ecuaciones diferenciales ordinarias para el caso de las curvas ortogonales. Objetivo desta pesquisa é caracterizar as concepções matemáticas de futuros docentes na resolução de equações diferenciais ordinárias no contexto da argumentação. Os conceitos de “argumentação coletiva”, “concepções matemáticas” e “equações diferenciais ordinárias” constituem o enquadramento conceitual da pesquisa, refletidos na implantação do modelo enriquecido de Toulmin, uma ferramenta metodológica que permite reconstruir as concepções dos professores a partir da argumentação matemática. Os resultados da pesquisa indicam que as concepções matemáticas de futuros docentes estão fundamentadas nos sistemas de representação e nas formas para comprovar soluções de equações diferenciais ordinárias para o caso das curvas ortogonais.

A investigação em curso visa compreender a influência da implementação de um conjunto de tarefas no desenvolvimento do conceito de ângulo em alunos do 5.º ano de escolaridade, procurando responder às seguintes questões: a) Que conceções revelam alunos do 5.º ano de escolaridade relativamente ao conceito de ângulo?; b) Que estratégias utilizam os alunos do 5.º ano de escolaridade na exploração das tarefas utilizadas?; e c) Que aspetos do conceito de ângulo são desenvolvidos pelos alunos através da realização das tarefas propostas? A presente comunicação incide na primeira questão do estudo. Optou-se por uma abordagem metodológica qualitativa de paradigma interpretativo com a modalidade de experiência de ensino. Selecionou-se quatro alunos para constituir o grupo-alvo. Procedeu-se à avaliação diagnóstica das conceções de ângulo dos quatro alunos através da realização, no 1.º Período do ano letivo de 2011/12, de entrevistas clínicas semiestruturadas individuais, gravadas em vídeo. Além das entrevistas, foram usadas, como técnicas de recolha de dados, a observação participante das aulas, videogravadas, bem como a análise de documentos. Para analisar os dados, foram elaboradas categorias analíticas. Os resultados relativos à avaliação diagnóstica evidenciam conceções erradas de ângulo e respetiva amplitude: (a) os ângulos são os lados de polígonos (1 aluna); (b) o comprimento dos segmentos representativos dos lados está relacionado com o tamanho dos ângulos (2 alunos); (c) o comprimento do arco marcando o ângulo está relacionado com o tamanho dos ângulos (3 alunos); (d) nos polígonos côncavos, sãoângulos apenas os de amplitude inferior a 1800 (3 alunos); (e) em figuras que não são polígonos, os ângulos são os espaços entre os segmentos de reta e as linhas curvas (1 aluno); (f) o ângulo é a área entre dois segmentos representativos dos lados (4 alunos); e (g) os ângulos retos são apenas os posicionados na posição usual horizontal/vertical (1 aluna). Abstract: The ongoing research aims to understand the influence of the implementation of a set of tasks in the development of the concept of angle in 5th grade students, trying to answer the following questions: a) What conceptions of angle reveal 5th grade students?; b) What strategies do 5th grade students use in tasks exploration?; and c) What aspects of the concept of angle are developed by students through the realization of the proposed tasks? This communication focuses on the first question of the study. We opted for a qualitative approach of interpretive paradigm with the use of teaching experiment. Four students were selected to constitute the target group. We did the diagnostic evaluation of angle conceptions of these four students by conducting videotaped individual semi-structured clinical interviews, in the 1st Period of 2011/12. Besides the interviews, we used the participant observation of videotaped classes and the analysis of documents, as techniques of data collection. To analyze the data, analytic categories were developed. The results for the diagnostic evaluation reveal misconceptions of angle and of angle amplitude: (a) the angles are the polygon sides (1 student); (b) the length of the segments representing the angle sides is related to the size of the angles (2 students); (c) the arc length marking the angle is related to the size of the angles (3 students); (d) in the concave polygons, only the angles with amplitude less than 180° are considered as angles (3 students); (e) in figures that there are not polygons, the angles are the spaces between straight segments and curved lines (1 student); (f) the angle is the area between the two segments representing the angle sides (4 students); and (g ) the right angles are only perceived when placed in the horizontal/vertical usual position (1 student).

Title: How primary school pupils understand terms about solids Summary: The main intention of the work is to gain first-hand experience in the preparation, realization, document registration and analysis of experiments in the field of didactics of mathematics. The work consists of three main parts. The introduction is dedicated to theoretical knowledge concerned with the language of geometry, its development among pupils, and the formation of mathematical conceptions. The second part describes the preparation and registration of the experiments. The third part of the work focuses on the analysis of pupils' activities in which it is possible to observe the phenomena mentioned in the first part. It also probes the mistakes made by the experimenter during the experiments.