In this paper, we present an activity to introduce the idea of public-key cryptography and to make pre-service STEM teachers explore fundamental informatics and mathematical concepts and methods. We follow the Theory of Didactical Situations within the Didactical Engineering methodology (both widely used in mathematics education research) to…

This study aimed to evaluate the effectiveness of the inquiry-based learning method supported by metacognitive strategies on students' problem-solving and problem-posing skills. The research was conducted in two stages using an exploratory sequential design, which is one of the mixed methods research. The case study design was used in the first…

The purpose of this research is to investigate students' learning experiences in a systematic game development process. The study was conducted at a science and arts center, where gifted students can enroll in after-school activities. Fifteen students and one instructor participated in a 12-week problem-solving implementation. During the last five…

Situational complexity is the distinction between simple, technically complicated, socially complicated, and complex situations. Programs that operate in simple situations are usually able to follow a prescribed course of action, or recipe, while programs operating in more complicated or complex situations must be flexible and responsive. In this…

This paper reports on initial findings from the Visible Maths Pedagogy research project, a collaboration between an academic researcher and two teacher researchers (the paper's authors). The aim of the project was to explore the effects of making pedagogy more visible on students' success in school mathematics. We adopted a Participatory Action…

Background: Research on teaching and learning for science, technology, engineering, and mathematics (STEM) subjects has increased, and has demonstrated the importance of integrating interdisciplinary knowledge and skills. Our research model was based on the theory of planned behavior (TPB) and the data were analyzed by partial least…

There exist many studies on modeling competencies and their promotion; however, there is a need to investigate what modeling competencies are and how they vary in lower and higher-achieving groups of students in mathematics within the current modeling literature domain. This study examined how mathematical modeling competencies were displayed in…

Introducing the distributivity property of multiplication over addition is a well-known challenge in mathematics education, especially in primary school. As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation and evaluation of a modelling activity in which 2nd-grade students are…

Purpose: The purpose of this action research was to identify students' errors in solving fraction number line and word problems. It also explored the effectiveness of Tik-Tok short videos in improving students' fraction understanding. Methods: The sample for this research consisted of 48 students from Form 1 at SMK SANZAC. In this study, a Check…

The aim of this study was to examine how fifth grade students' critical thinking and problem-solving skills can be developed using practices based on Newman and Weglage's (1993. Five standarts for authentic instruction. "Educational Leadership," 50(7), 8-12) authentic learning standards ("high-order thinking," "depth of…

This paper explores student emotion and learning experiences fostered by lecturing-style instruction in Real-Analysis problem-centered lessons. We focus on two lessons that were taught by two reputable instructors and involved challenging, mathematically-related problems the students did not understand. Nonetheless, one lesson evoked negative…

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,…

We report here on an intervention implementing a structural approach to arithmetic problem-solving in relation to learning outcomes among preschoolers. Using the fundamental principles of the variation theory of learning for developing the intervention and as an analytical framework, we discuss teaching and learning in commensurable terms. The…

The purpose of this study was to investigate how the use of the action-based manipulatives affects students' problem-solving skills, fluency, understanding, and reasoning ability in mathematics classrooms. A case study was conducted as an out-of-school project with seven second grade students who were part of the study group. Data collection…

Today science teachers are expected to understand the nature of environmental education, and be competent in skills, methods, and procedures relevant to a science discipline. The purpose of this research was to explore pre-service science teachers' views with regard to environmental education, investigation conducted during a freshwater ecosystem…