The objective of this qualitative research is to study the mathematical work when solving a mathematical task in the domain of probability presented by Chilean high school mathematics teachers in pre-service and in-service training. We consider as theoretical support the Mathematical Working Space model and methodological design of a collective…

According to expectancy-value models, two important motivational constructs are task value and self-efficacy expectations. As students work intensively on mathematical problems in the classroom, teachers need the competence to judge whether students value solving the problem and how confident they are that they will succeed. However, not much is…

This study analysed first-year preservice teachers' understanding of trigonometric equations at a South African university in the Eastern Cape province. We employed the Action-Process-Object-Schema (APOS) framework to analyse the mental constructions made by preservice teachers in solving trigonometric equations. A qualitative case study design…

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…

Creativity and problem-solving are 21st-century skills that we need to develop in our students. Research on computational thinking (CT) integration in school subjects and STEAM activities has shown a positive effect on students' problem-solving skills and creativity. Our study extends our previous work from the integration of CT in a mathematics…

Are high school students ready for their postgraduate education or a career that may not have been invented yet? As teachers focus on career prep and the necessary future-ready skills in the classroom, teachers are using technology to hone skills necessary for students' future success. Success in higher education or career pursuits requires…

The use of generative AI (Chat GPT) for the process of posing mathematical problems was introduced to 15 pre-service teachers (henceforth referred to as "teachers") in a re-training program aimed at teaching advanced secondary school mathematics. After solving mathematical problems, they were given an assignment to pose and refine…

A cohort of pre-service mathematics students was exposed to a teaching strategy based on retrieval practice and test-potentiated learning. The aim of the study was to determine how high and low prior topic knowledge study participants compare in terms of their procedural fluency and conceptual understanding after exposure to the teaching strategy.…

The purpose of this study was to examine prospective teachers ' uses of diagrams and approaches to congruence while solving proof tasks. Eight prospective high school mathematics teachers were given three proof tasks to solve at the beginning and end of a mathematics education course. The course used the history of mathematics as the context for…

This paper reports on an action research (AR) study that pre-service teachers conducted to assess their students in practicum. Based on Xu and Brown's (2016) assessment literacy (TALIP) framework, we aim to empower them in a real classroom atmosphere. Data were collected systematically and came from interviews, pre-service teachers' own exams,…

The popularization of the STEM educational model has also brought along the need for well-trained teachers. In this model, it is aimed to understand examples in real world and solve related problems. Of course, this depends on the development of critical thinking, creative thinking, researching and experimental skills. For these reasons, the…

Previous research has investigated the representational translation practices of high school students, high school teachers, and college preservice teachers in various mathematical contexts including linear functions. Findings from qualitative research has frequently led to new notions about participant work and understanding. Many quantitative…

This study examined the criteria used by prospective mathematics teachers in determining whether a problem was a mathematical modeling problem. Two data collection tools were used in this case study. The first was a written evaluation form which consists of four problems developed by 27 prospective teachers individually that enrolled in a…

In the age of globalization and information and technology, changes as in all the fields of human life are being actualized in the education systems, too. It is of great importance for the teachers who are the most notable agents to transfer the changes to the next generations to be equipped with skills and knowledge so called 21st century skills…

The early phase is the decisive period for the teachers' career. Intellectual styles (particularly thinking styles) play a vital role in teachers' professional development. With the purpose of measuring thinking styles of teachers at the early phase, this study was designed to validate a revised inventory of thinking styles (TSI-R2) for…