Reversibility thinking carried out mentally in mathematical operations has an important role in the process of understanding concepts as it involves developing a thinking process from beginning to end and from end to beginning. This qualitative research aims to describe students' reversible thinking processes in solving algebra problems,…

Mathematics is a collection of cognitive products that have unique characteristics from other scientific disciplines. As cognitive products, mathematics, and thought processes are two things that cannot be separated. Although in the literature there have been many approaches proposed to support the analysis of students' thinking processes, not…

Research in social psychology and education proposes that adopting a growth mindset of intelligence is an important mediator for the well-being and performance of students at school. As a consequence, wise interventions have been developed to target student mindsets and change their beliefs about how much their intelligence can grow with training…

This study investigates how 11- to 12-year-old students construct data-based decision trees using data cards for classification purposes. We examine the students' heuristics and reasoning during this process. The research is based on an eight-week teaching unit during which students labeled data, built decision trees, and assessed them using test…

Researchers from multiple disciplines have found that fractions and algebra knowledge are linked. One major strand of research has identified children's "units coordination" structures as crucial for success with fractions and algebra via multiplicative reasoning, whereas a second strand of research points to "magnitude…

Researchers from multiple disciplines have found that fractions and algebra knowledge are linked. One major strand of research has identified children's "units coordination" structures as crucial for success with fractions and algebra via multiplicative reasoning, whereas a second strand of research points to "magnitude…

This paper considers how a curricular design that integrated computer programming and creative movement shaped students' engagement with computing. We draw on data from a camp for middle schoolers, focusing on an activity in which students used the programming environment NetLogo to re-represent their physical choreography. We analyze the extent…

The model for implementing pedagogical technologies to the develop cognitive processes of secondary education students is highly significant in the present era. The purpose of the study is to substantiate and practically test some pedagogical technologies used in the process of secondary education. To investigate this issue in more detail,…

Cognitive activation is an approach to instruction associated with increased mathematical achievement and engagement. However, researchers have questioned its effectiveness for students with different learner characteristics. A Year 6 class participated in a lesson designed using cognitive activation practices. Interviews with ten case study…

There is today ample evidence that academic achievement depends on individual disparities in socioeconomic status (SES), working memory (WM) and academic self-concept (ASC). However, because these factors were investigated intensively but in separate fields of research in the past four to six decades, their relationships remain largely unknown.…

The ability of solving problems collaboratively has been increasingly significant. This research takes mathematics open-ended problems as the tasks and carries out collaborative problem solving with multi-machine video recording in the classroom environment aimed at 112 student pairs and 56 four-person student groups stemming from 224 students in…

English Learners (ELs), students from non-English-speaking backgrounds, are a fast-growing, understudied, group of students in the U.S. with unique learning challenges. Cognitive flexibility--the ability to switch between task demands with ease--may be an important factor in learning for ELs as they have to manage learning in their non-dominant…

This exploratory and descriptive study aims to theoretically promote the schema of pseudo-thinking processes in mathematical problem-solving by students. The participants in this study were 36 eighth graders and one math teacher. The researchers collected the data using tests and interviews. The results showed that the structure of pseudo-thinking…

The Math Kangaroo is one of the biggest international mathematics competitions. In Finland, the number of participants has been around 15,000 in recent years. In this research, we considered Finnish fourth to ninth graders' performance in the Math Kangaroo Finland 2011, 2015 and 2019. We investigated the following problems: What kind of…

Embodied cognition and movement-integration (MI) in classroom settings attract the interest of researchers and practitioners. The purpose of this six-week pilot study was to investigate the feasibility and acceptability of a MI approach (PunMoves) focusing on the comprehension of punctuation marks in reading, which was implemented in 12…