The concept of derivative is used in many areas including applied problems and requiring mathematical modelling in different disciplines. One of the most important approaches for teaching the derivative is to support students in visualizing the concept. Also, it is necessary to shift researchers and teachers' focuses to students' dynamic mental…

Educators cannot overlook the affect's potential for students' educational success. In this study, affective analogies are proposed as a didactic resource to foster students' affect for chemistry learning and positive attitudes towards the physics-chemistry subject. To examine the influence of the affective analogies on it, we grouped contents of…

This qualitative case study, grounded within the interpretive paradigm, analyzed the errors and misconceptions made by 11th-grade learners when tackling the tangent-chord theorem task in Euclidean geometry. Studying Euclidean geometry helps learners develop critical thinking skills, such as constructing arguments and applying logical reasoning.…

Over the last decade, reform in science education has placed an emphasis on the science practices as a way to engage students in the process of science and improve scientific literacy. A critical component of developing scientific literacy is learning to apply quantitative reasoning to authentic scientific phenomena and problems. Students need…

The problem in this study is to evaluate the improvement of students' geometry skills using the GeoGebra application by focusing on two key indicators: logical thinking and drawing skills. This study employs both quantitative and qualitative methods. In the first stage, quantitative data were collected through pretests and posttests to measure…

The purpose of this study is to investigate students' thinking of direct, inverse and nonproportional problems. Thirty two seventh grade students from three different government schools participated in this study. To collect the data, the participants were asked to solve 9 open-ended problems, including 3 direct, 3 inverse and 3 non-proportional…

Despite increasing calls for transparent integration, the mixed methods field lacks replicable approaches that center theory to answer multilevel-systems questions. We describe the Deductive-Inductive Dual Pillar Integration Process (DID-PIP), a five-phase integration technique for multilevel research. The DID-PIP centers a theoretical framework…

How much explicit logical reasoning instruction should be included in first-year mathematics courses, particularly those for non-math majors? We argue that all first-year students in mathematics courses should receive explicit instruction in logical reasoning. Engaging with precise logical statements is a fundamental skill in mathematics,…

This study investigates how pre-service mathematics teachers (PMTs) develop the capacity to plan mathematics lessons regarding reasoning and proving (R&P) at a time of curriculum change in Norway. Lesson planning poses challenges for both pre-service and experienced mathematics teachers. In this EU-funded intervention study, PMTs were led…

Background: Teachers should have a reasonable socio-scientific reasoning (SSR) level, both because they are intellectual members of society and because of their duty to teach reasoning skills to their students, who will become responsible citizens of the future, as indicated in the curriculum. Purpose: The study aims to examine the SSR level of…

Background/purpose: Creative thinking is an essential 21st-century skill in mathematics education, closely connected to logical-mathematical ability. Solving numerical problems requires students to think systematically, flexibly, and deeply beyond technical skills. In this context, the creative thinking process remains underexplored empirically.…

This document describes the game ThunderHawk, intended for use in the first and second cycles of basic education (1st to 6th grade). The game was developed as didactic material to reinforce the fundamental operations of addition and subtraction.

Cognitive and behavioral studies ranging from biomechanics to motor functions and neural mirroring explorations have extensively investigated the communication of emotions in music and dance. Recognized for their ability to convey and elicit emotions, various studies aim to validate the extent to which auditory expressive cues and embodied…

Findings on children's proportional reasoning abilities strongly vary across studies. This might be due to the different contexts that can be used in proportional problems: fair-sharing, mixtures, and probability. A review of the scientific literature suggests that the context of proportional problems may not only impact the difficulty of the…

We examine the long-standing claim that understanding relational correspondence is a general component of representational understanding. Two experiments with 175 preschool children located in Norwich, United Kingdom, examined the use of a scale model comparing performances on a "copy" task, measuring abstract spatial arrangement…