Search results for " Mathematics Education"

Student Partners in Task Design in a computer medium to promote Foundation students' learning of mathematics

2018

International audience; A team consisting of three mathematics education teacher-researchers, four former Foundation students (called Student Partners, SPs), and two analytic assistants worked together to produce mathematical tasks in a computer medium for the mathematical learning of current Foundation students (FSs). We have explored the collaboration between the SPs and researchers, the processes and outcomes of task design, and the contribution of the collaboration to tutorial teaching of FSs. We seek insight into the learning of all concerned of mathematics, mathematics teaching, task design and personal-professional development. The project is ongoing. Here we introduce the project an…

Il ruolo di Luigi Cremona nella prima formazione scientifica di Eugenio Beltrami attraverso la loro corrispondenza

In October 1862 Beltrami was appointed, before graduating, as a professor at the University of Bologna, and here he met again his friend and colleague Cremona. The correspondence between the two mathematicians clearly shows not only the intimate friendship between them, but also Cremona’s role as Beltrami’s mentor in those years. The former is indeed generous with advice, encouragement and recommendations to his friend.

“Making connections” in the mathematics courses for engineers: the example of online resources for trigonometry

2018

International audience; This paper concerns the teaching of mathematics for future engineers, focusing on the theme of trigonometry. We claim that the use of trigonometry in engineering courses requires different kinds of connections: connecting different domains, different concepts, frames and registers. We use here the concept of connectivity, developed in the frame of e-textbooks analysis, to analyse online courses for future engineers in France. We evidence that these courses propose some connections; but their connectivity is not developed enough to meet the requirements of engineering courses.

The Second Handbook of Research on the Psychology of Mathematics Education

2016

A handbook compiling the research produced by the PME Group from its very beginning until 2005 was published in 2006 to celebrate the first 30 years of existence of the PME Group. The second PME handbook is published to celebrate the 40 years of activity of the PME Group. It focuses primarily on the research activities over the last ten years (2006-2015) and can be seen as a ready sequel to the first PME handbook, which covered the period 1976-2005.

Engaging with feedback: How do students remediate errors on their weekly quiz

2018

International audience; Maths for Business is a first-year mathematics module for approximately 500 non-mathematics specialists. It has continuous assessment consisting of ten weekly quizzes, worth 40% of the final mark. In 2016/17, students who did not receive the maximum five marks on their weekly quiz were offered the opportunity to resubmit their quiz, with correction(s) and an explanation of their error(s), for one additional mark. We refer to this process as ‘remediation'. In this paper, we examine how students remediate their errors in order to identify features of a ‘good' remediation. These features are identification, description, and correction of errors. By analysing a subset of…

TAKING A LOOK AT CHINESE PEDAGOGY IN SHUXUE [MATHEMATICS]: A DIALOGUE BETWEEN CULTURES TO APPROACH ARITHMETIC AT FIRST AND SECOND ITALIAN PRIMARY CLA…

2013

The purpose of this paper is to analyze two cases of task design about straws and word problems in different cultural traditions (the Eastern and Western one). By means of two paradigmatic examples developed in Italy, we aim at showing, on the one hand, the effects and advantages of intercultural dialogue and, on the other hand, the need to take into account and to respect culturally rooted pedagogies, avoiding uncritical transfer from one culture to another. This perspective implies a reciprocal respect of the different approach modalities and hence a continuous back and forth between the practical and the deeply related theoretical dimension

Analysing tasks for the Flipped Classroom from the perspective of Realistic Mathematical Education

2018

International audience; The advent of Flipped Classroom as a framework for organizing the teaching and learning of mathematics has the potential to revitalize the attention to tasks as a vehicle for meaningful learning in tertiary education. Flipped Classroom is based on the idea of student active learning under close guidance of the university teacher. Due to the possibility to engage the students in meaningful discovery of how mathematics can relate to real-life situations during in-class sessions, the tasks are seen to have a central role in a successful implementation of Flipped Classrooms. This paper explores the realistic mathematics education (RME) as a theoretical framework for task…

Comparing Mathematics Early Years Education in Spain, Portugal and Slovenia

2022

This work aims to examine how the learning of mathematics in early childhood is developed in different policies, particularly within the processes of formal education and care in early years institutions. A comparative analysis of early mathematics education policies across countries must consider cultural differences, teaching practice, structural differences and institutional framework conditions, as well as the initial training and professional knowledge of teachers and educators. Extracted from the official country regulations, the following pages include some of the main characteristics of the national systems of early childhood education and care (ECEC) in Portugal, Slovenia and Spain…

Topic Study Group No. 54: Semiotics in Mathematics Education

2017

“How Real People Really Need Mathematics in the Real World”—Authenticity in Mathematics Education

2018

This paper discusses authenticity from the perspective of mathematics education. Often, school mathematics offers students inauthentic word problems, which don’t show the authentic usefulness of mathematics in real life. In some tasks, authentic aspects are combined with inauthentic ones (e.g., an authentic context, but the question is artificial and different from what people within that context would ask). Several studies show that students are more motivated by authentic questions than by authentic contexts. Embedding these findings, I discuss issues associated with defining authenticity in education. A first issue is that philosophers use the term to characterize a person’s existential …