The intuitions of teachers have been found to take a variety of forms in general education (John, 2003). However, in the field of additional language (L+) teaching, the lion's share of past work has focused on the improvisational form of intuition (e.g., Borg, 2015; Richards, 1998; Smith, 1996). Moreover, the ways in which intuition plays a role…

In the face of an increasingly severe global climate change situation, carbon neutrality initiatives have been included in the development action plans of many countries around the world. The carbon neutrality vision will also accelerate the revolution in the energy systems of countries around the world, injecting new vitality into the upgrading…

Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from…

Cognitive style differences, also known as 'empathizing' and 'systemizing' have been argued as one reason that may explain differences in children's motivation to learn science. Researchers claim that people with a 'systemizing' cognitive style are likelier to engage in science than those with an 'empathizing' cognitive style. As such, they…

This paper addresses the need for empirical research on the processes by which students create algorithms. I analyse the collaborative work of three high-school students on a contextualised graph theory task, in which they created an algorithm for maximising the happiness score of a seating arrangement. The group found an optimal arrangement but…

Students' seatwork plays an important part in their learning in their lessons, and very often, students record their private work in the notebooks during seatwork. The students' private work in their notebooks reflects students' learning and thinking, representing explicit learning outcomes. The students' private work in their notebooks of 14…

Multimodal learning refers to teaching strategies that involve multiple sensory systems simultaneously. Teachers can create materials for students with different learning styles (auditory, visual, kinesthetic reading, and writing). Multimodal learning keeps students engaged, encourages them to apply what they learn in real-life situations,…

Covariational reasoning has been the focus of many studies but only a few looked into this reasoning in the polar coordinate system. In fact, research on student's familiarity with polar coordinates and graphing in the polar coordinate system is scarce. This paper examines the challenges that students face when plotting polar curves using the…

Proportional reasoning is important to students' future success in mathematics and science endeavors. More specifically, students' fluent and flexible use of scalar and functional relationships to solve problems is critical to their ability to reason proportionally. The purpose of this study is to investigate the influence of systematically…

The focus of this study is the relationship between students' performance in mental calculation and the strategies they use when solving three-digit mental addition problems. The sample comprises 78 4th grade students (40 boys and 38 girls). Their mean age was 10 years and 4 months. The main novelties of the current research include (1)…

This study seeks an answer to the question "Can Creative Drama programs be benefited from in developing the experiences of noticing educational and psychosocial problems and solving them in relation with the teaching profession?." The importance given to Creative Drama method in educational programs increases day by day. Drama education…

A process for analyzing log files collected from open-ended learning environments is developed and tested on a virtual lab problem involving reaction stoichiometry. The process utilizes a set of visualization tools that, by grouping student actions in a hierarchical manner, helps experts make sense of the linear list of student actions recorded in…

The purpose of this research is to develop mathematical learning models that accommodate the cognitive styles reflective vs. impulsive students to build problem-solving skills, quality (valid, practical, and effective). To achieve the target would do research development (development research) and method development that consists of five stages,…

This study sought to uncover memorized algorithms and procedures that students relied on in responding to questions based on the particulate nature of matter (PNM). We describe various memorized algorithms or processes used by students. In the study, students were asked to balance three equations of chemical reaction and then draw particulate…

Even though reflective symmetry is heavily embedded in the everyday, learners continue to experience challenges when they mathematize concepts from this informal/everyday context. In this article we argue that symmetry exists in nature, it can also be symbolized algebraically and it can be abstracted into the world of axioms and theorems. We…