History of mathematics courses based on original source materials are becoming increasingly common. However, are they more suitable for particular types of students? Here we compare two such upper-level courses, with a similar structure and using the same textbook, taken by liberal arts students at Colorado College and mathematics specialists at…

This study aims to reveal features of student talk over a sequence of consecutive mathematics lessons in a large-size class in mainland China. By examining the time allocation for student talk and the number of Chinese characters spoken by the students, this study finds that, in some of the lessons observed, student talk added up to a longer…

Mathematics is one of the subjects that is taken very seriously in the school system, irrespective of country or level of education. This study therefore examined the effects of collaborative learning technique and Mathematics anxiety on Mathematics learning achievement of secondary school students in Gombe State, Nigeria. Pretest-posttest,…

We describe how faculty and staff used improvement science design Plan-Do-Study-Act (PDSA) cycles and engaged in interdisciplinary conversations in an effort to improve students' performance in introductory mathematics courses. This initiative started with College Algebra a course with a large enrollment of students that had a high failure rate.…

The use of fully online instruction has been proliferating in higher education. In undergraduate mathematics, arguments about the effectiveness of fully online instruction have been met with contrasting claims about its potential. Some assert that fully online instruction can promote a deeper and richer conceptual understanding of mathematical…

This paper reports findings from a case study of the impact that teaching using guided notes has on university mathematics students' note-taking behaviour. Whereas previous research indicates that students do not appreciate the importance of lecturers' non-written comments and record in their notes only what is written on the board when taught…

The present study uses a short, computerized task to investigate individual differences among middle school students in terms of the intuitions and strategies that they use to compare fractions. To tap into their intuitions about fractions, students were presented with pairs of fractions on the screen for a limited time of 10 s. Fraction pairs to…

The goal of this paper is to promote the use of R and Python as high-level, free, open-source programming environments that can be used as a computational and visualization tool for teaching differential equations. Both R and Python also allow for creating reproducible dynamic documents using Markdown, which combines live code, plain text, and…

This study examined gender differences in the early mathematical skills of children at risk of developing mathematical difficulties. Of a total sample of 1091 children (49% girls and 51% boys), we observed authentic children who scored low at 33 months with the assessment material MIO (Mathematics, Individual and Environment). Cut-off for low…

This research evaluated the extent of students' affective beliefs towards mathematics at Southern Leyte State University (SLSU), Sogod, Southern Leyte, Philippines as the basis for a Mathematical Disposition Intervention Plan. The study employed descriptive research as the investigation centers on the extent of the students' affective beliefs…

This study aims to analyse the approaches to probability that were carried out by the participants of the teaching practice of Primary Education teachers and, more specifically, their teaching trajectories. To do this we analysed 23 video-recorded classes of all levels, using a previously validated instrument. Results show trajectories…

Frequently, the shadow of financial insolvency is present in economies, whether between countries, companies or the general population (people) who contract the obligation of a loan, credit or other debt. Debt restructuring is one of the most effective financial tools to face this. Through mathematical modeling with algorithms designed for the…

An effective way to improve students' mathematical knowledge is to have them construct multiple solutions for real-world problems. Prior knowledge is a relevant prerequisite for learning outcomes, and the experience of competence is a basic need that has to be fulfilled to improve achievement. In the current experimental study (N = 307), we…

The future of South Africa's economic growth rests on addressing critical scarce-skills labour shortages. Matriculants are called on to break the cycle of poverty by entering the scarce-skills workforce. The demonstration of a high level of mathematics, science, and technology competency is viewed as a gateway towards achieving this goal. The…

It is generally assumed that in order to teach mathematics effectively, middle years teachers ought to have a high degree of knowledge of mathematics and confidence in their ability to do the mathematics as well as self-efficacy to teach it. This study examines the content knowledge, mathematics confidence and self-efficacy of 99 graduate-entry…