This article is a reflection on the journey through the process of my doctoral studies. Published dissertations or research articles are very neat and tidy with no mention of any adversity or struggle. Hence why many doctoral students feel stressed, anxiety, or like quitting when obstacles or roadblocks are encountered. My doctoral program took…

This study was carried out in order to determine how the 3rd grade students of the Department of Elementary Mathematics Education structured their "if and only if propositions". The data were obtained by examining the students' answers given to the midterm exam questions and discussing the solutions with the students in the classroom.…

This study aims to evaluate the effectiveness of the online learning platform Brilliant.org in improving the academic performance of 60 tenth-grade students from four public schools in the city of Barranquilla, Colombia. A quasi-experimental design with two groups will be used: an experimental group that will use Brilliant.org platform to learn…

This study evaluates the effectiveness of a program aimed at enhancing the confidence and proficiency of prospective teachers in using culturally responsive teaching techniques to effectively instruct mathematics to diverse learners. The study outlines the process and products required during the program. The findings reveal the positive impact of…

Example-generation tasks have been suggested as an effective way to both promote students' learning of mathematics and assess students' understanding of concepts. E-assessment offers the potential to use example-generation tasks with large groups of students, but there has been little research on this approach so far. Across two studies, we…

Computational thinking is an essential ability for students in the 21st century. Therefore, this study described students' mathematical computational thinking process in terms of self-efficacy of eighth graders, consisting of 32 students. The applied instruments were self-efficacy questionnaires, computational thinking ability tests, and interview…

Students' success in physics problem-solving extends beyond conceptual knowledge of physics, relying significantly on their mathematics skills. Understanding the specific contributions of different mathematics skills to physics problem-solving can offer valuable insights for enhancing physics education. Yet such studies are rare, particularly at…

Technological mediation has gained relevance in teaching mathematics. Its usefulness and impact depend, to a great extent, on how students approach the learning of the discipline. Two independent instrumental studies were conducted to analyze the psychometric properties of the Spanish version of the Mathematics and Technology Attitudes Scale…

Knowing functions and functional thinking have recently moved from just knowledge for older students to incorporating younger students, and functional thinking has been identified as one of the core competencies for algebra. Although it is significant for mathematical understanding, there is no unified view of functional thinking and how different…

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

This study aimed to conduct a comprehensive investigation into the Mathematics Writing (MW) of Chinese students. We conducted a comparison between MW and general writing on organizational features. The analysis was based on a sample of 138 sixth-grade students. Our findings revealed: (a) students demonstrated significantly higher performance in…

We live in an increasingly worrying future, where researchers are looking at how we can create education for a sustainable world. In this study we investigate what such education could look like, especially for young students, reinforcing hope and an ability to act and come up with ideas of sustainable solutions with no obvious 'good' solution.…

The knowledge of the materials to be taught to the students is the basic knowledge that preservice mathematics teachers should possess, as they need to prepare themselves for teaching. In order to research preservice teachers' understanding of the subject matter and teaching skils, valid and reliable test instruments are required. Knowledge of…

In this article, we describe the implementation and results of a formative experience with prospective mathematics teachers, focused on developing the competence for didactic-mathematical analysis of curriculum materials, specifically student workbooks related to probability. The research design follows a methodological approach typical of…

This study explored teachers' self-efficacy in teaching mathematics (SETM) as related to their teaching profile and pedagogical practices. Using data from 327 New Zealand primary teachers, a multilevel structural equation model was constructed and analyzed that looked at the relationships among SETM and effective pedagogical practice scales and…