Reports from 13 Further Mathematics Knowledge Networks supported by the National Centre for Excellence in the Teaching of Mathematics [NCETM] are analysed. After summarizing basic characteristics of the networks regarding leadership, composition and pattern of activity, each of the following aspects is examined in greater depth: Developmental aims…

One-third of the current A-level mathematics curriculum is determined by choice, constructed out of "applied mathematics" modules in mechanics, statistics and decision mathematics. Although this choice arguably involves the most sizeable instance of choice in the current English school mathematics curriculum, and it has a significant impact on…

Teachers of mathematics recognize the difficulty of reaching every student when the range of student abilities puts a considerable strain on the classroom discussion and time. In a response to the problem, students are grouped so that those with greater mathematical aptitude help those who have difficulties. While this approach is to be…

In this research we present the use of some technologies in problem solving activities (at different secondary school grades), aimed at finding a model for a geometric configuration, and representing this model in various ways: through a construction, through a Cartesian graph, etc. The task is part of a teaching experiment, in which students used…

Learning in the cellular phone environment enables utilizing the multiple functions of the cellular phone, such as mobility, availability, interactivity, verbal and voice communication, taking pictures or recording audio and video, measuring time and transferring information. These functions together with mathematics-designated cellular phone…

In seeking to align the everyday decision-making and lesson delivery of secondary teachers to current research in mathematics education, this piece provides an application of theory into classroom practice. By focusing on a sample of 13 quantitative and qualitative research studies of pedagogical best practice published since 2000, a set of…

It is the case that some activities claiming to reside under the STEM umbrella do not, in fact, give participants the opportunity to engage in anything other than routine mathematics. With this in mind, we explore here the potential for developing and then delivering STEM activities based on the discipline of mathematical epidemiology. We argue…

Studies incorporating technology into the teaching of trigonometry, although sparse, have demonstrated positive effects on student achievement. The optimal sequence for integrating technology with teacher-led mathematics instruction has not been determined. Our research investigated whether technology has a greater impact on student achievement…

This study examines the approaches displayed by pre-service mathematics teachers in their experiences of constructing mathematical modelling problems and the extent to which they perform the modelling process when solving the problems they construct. This case study was carried out with 35 pre-service teachers taking the Mathematical Modelling…

This article describes some problems of the maximum/minimum type, which are generally solved using calculus at secondary school, but which here are solved algebraically. We prove six algebraic properties and then apply them to this kind of problem. This didactic approach allows pupils to solve these problems even at the beginning of secondary…

In England and Wales, there has been a significant investment in technology to support teaching and learning in all subjects and school phases since the mid-1990s and a number of training models and approaches have been used, which include the development of online materials to support face-to-face sessions with expert teacher educator support.…

Technology offers ample opportunities to bring reality into the classroom. Students and teachers nowadays have many tools to work in an authentic way with real data in mathematics and science education. However, much research and development are still needed to create a consistent learning trajectory out of the many exciting single activities.…

Taking advantage of pedagogical opportunities afforded by new technology requires appropriately designed lessons. This article reports on the use of "lesson study" to research principles for the design of a lesson aiming to take advantage of multiple representations. The lesson, for year 10 students who had personal access to TI-Nspire, focused on…

A long-term project (2005-2012) was started to test the use of symbolic calculators (SCs) in Bavarian grammar schools (Germany) in Grade 10, 11 and 12. The results showed the necessity of having better diagnostics of the students' ability to understand the mathematics and their ability to work with the SC. How does a student understand particular…

In recent years, there has been a decline in the number of students aged 16-18 studying and being able to access higher level mathematics in schools in the UK. The Further Mathematics Network (FMN) was set up to enable access to such mathematics to all students and to promote and encourage students to study at this level. The FMN has pioneered the…