It is agreed that algebra has an important role in physics, particularly through handling symbols. A lot of previous research has focused on how mathematics is used in physics from perspectives where mathematics is taken for granted, and not addressing potential differences of mathematics in the physics classroom and in the mathematics classroom.…

There is a growing body of evidence suggesting that secondary mathematics teachers may not be drawing significant benefit from the tertiary mathematics courses they take in preparation programs or in-service for professional development. While there are some theory-driven attempts to re-design or complement such courses for teachers, empirical…

Understanding how mathematics preservice teachers (M-PSTs) learn about issues of equity is essential to addressing the inequities that persist in mathematics education. In this article, we use (Gutiérrez, in: Herbel-Eisenmann, Choppin, Wagner, Pimm (eds) Equity in discourse for mathematics education: theories, practices, and policies, Springer,…

Teachers, examiners and assessment experts know from experience that some candidates annotate exam questions. "Annotation" includes anything the candidate writes or draws outside of the designated response space, such as underlining, jotting, circling, sketching and calculating. Annotations are of interest because they may evidence…

Purpose: This qualitative study extends jigsaw lesson study (JLS) by focusing specifically on the impact of feedback on teacher candidates' (TCs') professional knowledge and instructional growth in the teacher-educator classroom. Design/methodology/approach: For this study, JLS took place in two different methods courses and followed the lesson…

American secondary mathematics students continue to rank below average when compared to other developed countries. The purpose of this qualitative design and development case study was to determine if mathematical proficiency would improve if students participated in learning center instruction versus traditional direct instruction. This study…

Sequencing contents is of great importance for instructional design within the teaching planning processes. We believe that it is key for a meaningful learning. Therefore, we propose to formally establish a partial order relation among the contents. We have chosen the binary relation "to be a prerequisite" for that purpose. We have…

Access to advanced study in mathematics, in general, and to calculus, in particular, depends in part on the conceptual architecture of these knowledge domains. In this paper, we outline an alternative conceptual architecture for elementary calculus. Our general strategy is to separate basic concepts from the particular advanced techniques used in…

There is growing support for making the study of mathematics to the age of 18 years compulsory for all young people in England. This article aims to inform this debate through new insights into historic A-Level Mathematics participation trends. We analyse full-year cohorts of 16-year-old students from the Department for Education's National Pupil…

Regression Tree Method is not yet a mainstream method in Education, despite of being a traditional approach in Machine Learning. We advocate that this method should become mainstream in Education, since, in our point of view, it is the most suitable method to analyse complex datasets, very common in Education. This is, for example, the case of…

This article investigates use of digital storytelling as a learning activity in education about migration. Based on a study in two Norwegian schools and two adult education centers for refugees and migrants, the article analyzes student's digital stories and observations of the process of production. Counter to research on the promise of digital…

In summer 2021, as exams could not take place, GCSE, AS and A level grades in England were awarded by teachers, in accordance with relatively broad official guidance. This guidance stressed that grades had to be based on evidence of candidate work, though what this was, how much was needed or where/when it should come from were not tightly…

It has been asserted that the test-based accountability of No Child Left Behind (NCLB) increased instruction in tested subject areas reading and math, leading to reductions in arts education. We tested this using two waves of data, before and after NCLB implementation, in a difference-in-differences design. The analyses indicated that the total…

This study aims to explain the relationship between student performance in the International General Certificate Secondary Education (IGCSE) and the International Baccalaureate Diploma Program (IBDP) as well as explore the predictors of the IBDP scores in languages, sciences, and mathematics. A purposive sample of 338 high school students was…

Teaching of mathematics could be improved with teachers who have a strong mathematical knowledge and have an ability to reflect this knowledge on their teaching. Therefore, it is important to develop mathematics teachers' theoretical and pedagogical knowledge. This study was designed to examine pre-service secondary mathematics teachers' (PSMT)…