Critical thinking skills are one of the four skills needed in the 21st century. Critical thinking skills are so important that they need to be taught and included in the school curriculum. This research aims to: (1) describe the critical thinking skills of junior high school students in solving mathematical problems and (2) identify the students'…

Mathematical creativity instrument is a tool to assess students' creative thinking skills in solving mathematical problems. Mathematical creativity has a pivotal role in improving the quality of life, solving problems, making a change, and increasing the efficiency and effectiveness of a system. Unfortunately, there is a gap in the assessment of…

Artificial intelligence-enabled adaptive learning systems (AI-ALS) are increasingly being deployed in education to enhance the learning needs of students. However, educational stakeholders are required by policy-makers to conduct an independent evaluation of the AI-ALS using a small sample size in a pilot study, before that AI-ALS can be approved…

IQ is considered as a true criterion of intelligence while emotional intelligence is considered as a decisive in order to be happy and successful in life. It is of interest to the educational system that emotional intelligence can be developed at the same time. Emotional intelligence gained in the family will help to improve the school life,…

The aim of this study is to investigate the misanalogical construction of undergraduate students in their cognitive conflict in doing a non-routine mathematical task. Qualitative methods were used in this research. Data were collected from 68 seventh semester undergraduate students of Mathematics Education Study Program, Universitas Negeri Malang…

What could two people stand to gain from sharing a taxi ride? We aimed to explore the extent to which this challenging yet accessible financial context might stimulate students' mathematical exploration of multiplicative thinking and proportional reasoning. Through teaching experiment methodology, data were collected from 37 Year 5 and 6 students…

This study aimed to examine the relationship between the lifelong learning trends of preservice teachers and the online information searching strategies used by them. Accordingly, this is a quantitative study using the correlational research design. The study group was composed of 317 preservice teachers studied at Sakarya University. The Lifelong…

Purpose: The purpose of this study was to delineate differences between children with specific language impairment (SLI), typical age-matched (TAM) children, and typical younger (TY) children in learning and mastering an undisclosed artificial morphological rule (AMR) through exposure and usage. Method: Twenty-six participants (eight 10-year-old…

The purpose of the reported study was to investigate the social science students' concept images and concept definitions of anti-derivatives. Data were collected through asking students to answer 10 questions related to anti-derivatives and also by interviewing them. The theory of concept image and concept definition was used for data analysis.…

In this study, we analysed the scientific reasoning competencies of preservice science teachers from a Canadian sample at the beginning and end of a science teacher education methods course. The course contained standard topics, such as the nature of science, assessment, and unit and lesson planning in science. The preservice science teachers were…

In the current study, the problems posed by pre-service primary school teachers within the context of semi-structured problem formation were analyzed according to their type, cognitive structure, and content knowledge. A total of 134 pre-service primary school teachers attending a state university in Turkey participated in the current study…

Algebra problem solving is one of the most difficult areas in the mathematics curriculum for secondary students with learning disabilities (LD) due to the higher-order reasoning demands and strategic thinking required. The purpose of this review is to examine how effective algebra problem-solving interventions conceptualize the cognitive processes…

We describe how a group of secondary mathematics teachers posed and solved a real-world problem. The problem was posed by teachers on a sandbar off the coast of an island in the Bahamas, where panoramic views of water meeting sky spurred the teachers to wonder how far away they could see. We analyze how the teachers translated the natural…

We investigate upper-division student difficulties with direct integration in multiple contexts involving the calculation of a potential from a continuous distribution (e.g., mass, charge, or current). Integration is a tool that has been historically studied at several different points in the curriculum including introductory and upper-division…

A relative extrema optimization problem is one in which the domain of the objective function (i.e. the function whose maximum or minimum value is to be found) is an open interval. An absolute extrema optimization problem is one in which the domain of the objective function is a closed interval. Analysis of task-based interviews conducted with 12…