Problem-solving is an essential part of teaching, learning, and assessment of physics and mathematics. The continuing educational reforms have a deep impact on everyday teaching as well as working with talented students. In the Macedonian educational system, the curricula do not explicitly point out the connection between mathematics and physics,…

In this paper we studied the personal mathematical work of 14 students in initial teacher training, in their first year of studies at a public university in Chile, based on two tasks on complex numbers. These tasks were set in a Computer Aided Assessment System (CAA) based on Moodle and Wiris and it was proposed to solve them using different…

The purpose of this intervention study was to develop and evaluate a support model for teachers, designed to assist them in diagnosing students' (age 16-19 years) difficulties and providing feedback to support students' mathematical problem solving. Reporting on an iteration in a design research project, the results showed that the support helped…

This research presents the outputs of problem-solving based STEM education activities applied in an undergraduate mathematics course. An experimental study using a randomized pretest-posttest control group design was carried out to examine the development of elementary pre-service teachers in the fields of mathematics achievement, belief about…

In this article, we present an educational proposal designed to work on spatial geometry and three-dimensional thinking with students in the last years of Primary Education. The proposal is comprised of several activities that combine the use of a classroom videogame and working with manipulative materials to create a representation of the…

A simple forward approach for solving linear Diophantine equations is presented, which does not involve using backward substitutions. It is suitable for teaching undergraduate students as an alternative to the backward substitution method commonly described in mathematics textbooks.

Recently, Lima lamented on the 'time-consuming and tiresome' pedagogical nature of repeated integration by parts, throwing down the challenge of providing a pencil-and-paper solution to a related problem in a few seconds. Lima put forth a simple formula as an alternative. In this work, I offer a response to Lima's challenge and his formula.…

Recently, Christopher C. Tisdell questions some claims and results that appear in our article [Rivera-Figueroa A, Rivera-Rebolledo JM. A new method to solve the second-order linear difference equations with constant coefficients. Int J Math Educ Sci Technol. 2016;47(4):636-649.] regarding the novelty and simplicity of a method to solve…

This study was performed to determine preservice elementary mathematics teachers' solution performance of systems of linear equations using geometric representation, algebraic representation and transition from geometric representation to the algebraic representation and the predictive role of preservice elementary mathematics teachers'…

Nowadays, individuals are expected to be literate in different areas. Mathematical literacy and financial literacy are among them. Mathematical literacy has been evaluated in PISA since 2000 while financial literacy has been included in PISA since 2012. Based on the idea that there is a close relationship between these literacies, in this study…

A growing emphasis on computational thinking worldwide necessitates student proficiency in creating algorithms. Focusing on the use of counterexamples for developing student-invented algorithms, I reanalyze two pieces of data from previously published research, pertaining to two different cases of students' algorithmatizing activity. In both…

We present action research of a problem posed as part of a multi-participant national (Israeli) test checking the mathematical knowledge of high school students at the ages of 16-17, where some of those who solved this problem made an error by using the converse to a well-known theorem, where the converse is not true. In order to examine the…

Nonlinear equations are usually solved numerically. However, approximated analytical solutions of nonlinear equations are useful as an initial iteration point for numerical methods. Furthermore, these analytical approximations are sometimes quite close to the actual root. In order to teach at undergraduate level how to perform this kind of…

Affect has been identified as one of the important inputs in illuminating the mechanism of cognitive activities in mathematical problem solving (MPS). This study aimed to assess upper primary students' MPS-related affect with a focus on its differences across gender and grade-level among upper primary students. To do so, a simple Likert type scale…

The purpose of this note is to introduce two challenging problems in geometry that were inspired by some well-known problems in high school geometry. These problems can be explored in the dynamic geometry environments of computer construction programmes.