Background/purpose: This study investigates the probabilistic thinking process in solving probability problems by prospective mathematics teachers with a field-independent cognitive style. The objective is to explore how individuals with this cognitive style approach problem-solving based on the three stages of Polya's framework: understanding the…

The understanding mathematical concept is an error that often occurs in classroom learning among students when solving mathematical problems. The most difficult part for students is solving problems, because it requires numeracy skills, high concept mastery, as well as the ability to use good language, and so on so that students don't make any…

Educators have a plethora of teaching methods that allow them to tailor the learning environment to meet students' needs. One novel instructional approach that has grown in popularity in U.S. higher education has been the flipped classroom approach, which has become a popular way to embrace a student-centered learning environment. Of the various…

This study has three aims: (1) test the effectiveness of using an ebook based on the Collegiate Learning Assessment (CLA) Task to empower critical explanatory ability; (2) examine the influence of problem-solving style differences on critical explanatory ability; and (3) assess the interaction between the use of CLA Task-based Ebooks and…

Background/purpose: This study aims to examine the inferential statistical literacy of mathematics education students based on their cognitive styles--field-dependent (FD) and field-independent (FI). Inferential statistical literacy involves not only understanding statistical concepts such as hypothesis testing and parameter estimation but also…

Pattern recognition is an aspect of computational thinking and a vital competency for solving mathematical problems. By recognizing patterns, one can develop possible solutions. This paper aims to describe the pattern recognition of prospective mathematics teachers in solving mathematical problems from a semiotic perspective. This study based on a…

The interrupted case study is a structured way to engage students in active learning. Interruptions, or pauses for reflection and discussion scheduled within the case-study presentation, provide students with a chance to collaborate and engage in critical thinking. Critical thinking style, which is a measure of how one tends to think critically,…

This study aimed to determine the effect of cognitive and affective factors on the performance of prospective mathematics teachers. Cognitive factors include cognitive independence level and working memory capacity, while affective factor include math anxiety. Mathematical performance was then assessed as basic math skills, advanced math skills…

Problem solving has been regarded as one of the most important cognitive skills in everyday life. The complexity of problem solving in technical areas is a critical component to developing the problem solving abilities of agricultural education students. This study grounded in Kirton's AdaptationInnovation Theory (A-I Theory), sought to identify…

This paper reports the design, delivery, and evaluation of a mentoring programme which aimed to promote critical thinking and problem-solving skills in Chinese university students. Several new elements in this mentoring programme distinguish it from many previous such programmes within the context of higher education. These new elements include…

Students are more likely to obtain correct solutions in solving derivative problems. Even though students can complete it correctly, they may not necessarily be able to explain the solution well. Cognition and communication by the students will greatly affect the subsequent learning process. The aim of this study is to describe students'…

This study aimed to describe the creative thinking process of students with active learning styles in proposing and solving problems on geometry material. The research instruments were Honey and Mumford's Learning Style Questionnaire (LSQ), problem-solving and submission test sheets, and interview guidelines. The LSQ questionnaire was distributed…

The study aimed to determine whether there is a difference between the perceptions of pre-service teachers' problem-solving skills according to various factors. 297 pre-service teachers from Afyon Kocatepe University Faculty of Education in the province of Afyonkarahisar in Turkey participated in the study. The group hidden figures test was used…

From an early age, understanding proportional reasoning is a fundamental pillar in mathematics education, and therefore, teachers should have a thorough knowledge of it. Despite its significance, there are few studies that analyse the difficulties that student teachers have in understanding proportionality, and even less so inverse…

This study aims to study the control of interference and self-control in students with different levels of probabilistic thinking style (PTS). The study covered 90 students (average age 20 ± 3.03 years). The sample subjects were formed through the approximate modeling method. The experimental group covered students from the 1st to the 4th year. At…