The current moves by many African countries including Kenya to reform their mathematics education to adopt learner-centred pedagogies presents a need to fill the knowledge gap on learner-textbook relationships there. The mathematics textbook remains a key resource for teaching and learning and is increasingly being expected to play a pedagogical…

Logical reasoning as part of critical thinking is becoming more and more important to prepare students for their future life in society, work, and study. This article presents the results of a quasi-experimental study with a pre-test-post-test control group design focusing on the effective use of formalisations to support logical reasoning. The…

This paper reports on a teaching experiment on mathematical modelling in an upper secondary school class that investigates how the constructs of "model eliciting" and "emergent modelling" may be brought together to inform teaching and learning. A prominent role is covered by the process of task design, seen as a complex process…

In this paper we interpret pervasive difficulties with second degree inequalities as a macro-phenomenon emerging from Large Scale Assessment. In line with the theory of reification, we link common students' difficulties to approaches they use that undermine the intertwining of processes and the ensuing emergent mathematical objects. To frame the…

Although it is assumed that parents influence their children's lives, little is known about how students navigate between their own expectations and their parents' views of mathematics and how this navigation affects mathematical learning. Using an exemplary case of Philip, we illustrate how he made sense of his father's high expectations related…

Continuing to study mathematics throughout schooling is considered important in most developed countries, where mathematics is incorporated within the curriculum until school-leaving age. By comparison, in England, relatively few post-16 (upper secondary) students study mathematics once it becomes optional. Core Maths qualifications, introduced in…

The paper reports on updating and integrating two reformed curricula designed in an era of national crises in Greece. In particular, the curriculum design activity of the Leading Coordinators (LCs) is studied under the lenses of Activity Theory and Positioning Theory. Sixteen transcribed videotaped meetings over a period of ten months are analysed…

In New Zealand and internationally, diverse groups of people are under-represented in mathematics. Disrupting deficit discourses requires educators to recognise the funds of knowledge of learners. This article focuses on stories of mathematics at home and in the community of Pacific learners to highlight what we can learn from the voices of…

This article aims to unfold the narratives of success in the Modern, cosmopolitan society within transnational discourses. The narratives of success entail utopian desires of enabling "all" students to potentially become profitable for the economy and for themselves -- accountable through mathematics proficiency. This reveals…

This book seeks to illustrate the research on mathematics competencies and disposition in China according to the conceptual development and empirical investigation perspective. Mathematics education in China has a distinguishing feature a focus of attention to mathematical competency. Paradoxically, there has not been an explicit, refined, and…

Tackling mathematics tasks often involves reading and interpreting different semiotic resources such as natural language (words), mathematical notation, and images. This study aims to enhance knowledge of how meaning relations, in the form of "cohesive ties" between and within different semiotic resources, are related to how difficult it…

This article examines teachers' perspectives of the impact in the classroom of a novel approach to boosting participation in upper secondary (Senior Cycle) mathematics in Ireland at the most advanced level (Higher Level). This approach, termed the Bonus Points Initiative (BPI), is an incentive which has coincided with a gradual increase from 16%…

An ongoing debate concerns whether novel mathematical concepts are better learned using contextualised or decontextualised representations. A barrier to resolving this debate, and therefore to progress in the discipline, has been the paucity of validated methods of measuring students' understanding of mathematical concepts. We developed an…

Four upper secondary school teachers in Iceland were asked to implement a silent video task, intended to support students' understanding of mathematical concepts, with their 17-18 years old students and to give feedback to the researcher developing the task. The task was challenging for teachers because it required them to make a short transition…

Mathematically speaking, a "difference" is the result of a subtraction. However, when the number domain is extended from natural numbers to integers, the separation of the magnitude of a number from its value creates "different differences," where the connection to subtraction is no longer straightforward. Based on…