Gueudet, Ghislaine

Linear algebra is a difficult topic for undergraduate students. In France, the focus of beginning linear algebra courses is the study of abstract vector spaces, with or without an inner product, rather than matrix operations as is common in many other countries. This paper presents a study of the possible uses of geometry and "geometrical intuition...

Liu, Wei Zhao, Shixin Li, Xianghong
Published in
Proceedings of the 2012 International Conference on Cybernetics and Informatics

To integrate the mathematical history and the idea of mathematical modeling into the teaching of mathematics timely, so that students can get deeper understanding of how to get and apply the mathematics concepts and theories to real life. In order to prove the feasibility, the advanced mathematics teaching quality evaluation system is designed. And...

Cofer, Tanya
Published in
International Journal of Research in Undergraduate Mathematics Education

This study proposes a framework for examining ways in which prospective teachers integrate mathematical knowledge acquired in advanced topics courses into explanatory knowledge for school teaching. Participants, all of whom had recently completed coursework in abstract algebra, were asked to explain concepts connected to the school mathematics curr...

le Roux, Kate Adler, Jill
Published in
Educational Studies in Mathematics

Mathematical problems that make links to the everyday and to disciplines other than mathematics—variously referred to as practical, realistic, real-world or applied problems in the literature—feature in school and undergraduate mathematics reforms aimed at increasing mathematics participation in contexts of inequity and diversity. In this article, ...

Sikora, Joanna Pitt, David G. W.
Published in
Mathematics Education Research Journal

Students in many jurisdictions can study Mathematics at different levels in their final 2 years of secondary education. The levels of Mathematics range from standard (not involving calculus), through basic calculus, to more advanced treatments of calculus and algebra. In this context, some students can elect to study Mathematics at a level below th...

Wasserman, Nicholas H. Weber, Keith Fukawa-Connelly, Timothy McGuffey, William
Published in
Journal of Mathematics Teacher Education

Most prospective secondary mathematics teachers complete a course in real analysis, yet view the content as unrelated to their future teaching. We leveraged a theoretically motivated instructional model to design modules for a real analysis course that could inform secondary teachers’ pedagogy, focusing on how this model was implemented in a single...

Ma, Xiang Fan, Xuhui Li, Wei Li, Jiangtao Li, Qiong
Published in
Innovative Mobile and Internet Services in Ubiquitous Computing

In the light of problems in online teaching of new coronavirus (2019-nCoV) epidemic period in advanced mathematics curriculum, this paper analyzes the teaching effect of short-term one-way online education mode in the teaching practice of concrete courses by using the real-time data of “rain classroom” teaching management platform. Above that this ...

Kleemans, Tijs Segers, Eliane
Published in
Research in developmental disabilities

Language plays an important role in the development of mathematics. Previous research has shown that both basic and advanced linguistic skills relate to fifth-grade advanced mathematics (i.e., geometry and fractions), but these effects have not yet been investigated longitudinally or in a linguistically diverse population. The present study first e...

Guijuan, Tian
Published in
Journal of Educational Theory and Management

With the increasing enrollment of general higher vocational colleges every year, the inconsistency between the knowledge level and ability of the enrolled students and ideological and political education hinders the realization of the teaching purpose of the school to a great extent. Advanced mathematics is a compulsory basic course for college stu...