Mathematical modelling is emphasised in curricula worldwide. Since 2006, mathematical modelling has been considered a fundamental process in the mathematics subject in Norwegian upper secondary schools. This study aimed to identify tensions in the approaches to mathematical modelling expressed in teacher interviews (N = 4) and framework discourses…

The goal of this research is to make a theoretical reflection about connections that contributes to the development of the model for mathematical connections originally proposed by Businskas, and extended with the contributions of other researchers. This model is used in the most relevant investigations in this field. As a consequence of the…

We focus on how democratic practices occur during the modeling activity "The Candy Bag of Dreams." With democratic practices, we refer to approaches supporting inclusivity and active participation aimed at empowering students. We investigated one group of preservice teachers implementing an optimizing modeling activity during practicum…

Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…

This paper proposes a transdisciplinary framework to allow for a multifocal exploration of classroom talk practices. It draws on data from a broader study of talk in South African Grade 4 mathematics classrooms where the language of teaching and learning (English) was the home language for neither the teachers nor their students. Lesson transcript…

Existing studies have defined and assessed disciplinary literacy, mathematical literacy, and general academic language. However, there is a need to define and assess mathematics discipline-specific language (MDL), particularly for elementary school teachers. Therefore, the purpose of this study was to develop a research instrument to assess the…

In this article we present a reflection about the meaning attribution to the mathematical object "exponential function" that emerges from two mathematical modeling activities. The theoretical framework of the text contemplates considerations on Mathematical Modeling and elements of semiotics as theorized by Charles Sanders Peirce. The…

As two teacher educators, we conducted a collegial action research study and investigated how collaborative lesson preparation and reflection that focused on prospective teachers' thinking supported our perspectives on teaching and learning. We conducted this action research to provide more equal education opportunities to the prospective teachers…

The work in the Comenius Network project Developing Quality in Mathematics Education II (DQME II) has a main focus on development and evaluation of modelling tasks. One reason is the gap between what mathematical modelling is and what is taught in mathematical classrooms. This article deals with one modelling task and focuses on how two teachers…

This paper explores the notion that the discourse of the mathematics classroom impacts on the practices that students engage when modelling mathematics. Using excerpts of a Year 12 student's report on modelling Newton's law of cooling, this paper argues that when students engage with the discourse of their mathematics classroom in a manner that…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

The negotiation of meaning presupposes a taken-to-be-shared understanding of a situation. Uses an example to illustrate how negotiation of meaning and task may be linked in ways inappropriate to the learning of modeling and critical reflections. Contains 16 references. (Author/ASK)

To reduce the cost of in-the-school experiment, this study, which is an attempt to quantify redundancy in a learning situation, was carried out using a numerical procedure. The variables include student I.Q., lesson time, wasted time, teacher experience, and redundancy. (Author/CB)

Presents a computer-mediated discourse on the Pythagorean equation in a university classroom of preservice and inservice teachers. Shows how the use of a spreadsheet as a two-dimensional modeling tool enables students to conjecture the general solution to the Pythagorean equation. Argues that a computational approach to the ancient problem…

Presents a sequence of hands-on activities to help students understand the concept of arithmetic mean and gain experience in using mathematical models. Students create models in the process of solving problems and communicate to the class the meaning attached to the models. (MDH)