Teachers' knowledge of students' mathematical thinking is a growing area of research in mathematics education. The literature has reported plentiful evidence of the interplays between teachers' mathematical knowledge and their knowledge of students' mathematical thinking. The present study builds on this body of work to explain how such interplays…

This study aims to help concrete thinkers learn science through the use of Piagets' cognitive processes (CPs) during scientific inquiry. A total of 203 fourth-grade students participated as volunteers in a pre-post control group study. The students were from urban, remote rural, and suburban regions of Indonesia. Data analysis demonstrated that…

In this study, the authors investigate the ways in which young students demonstrate their critical mathematical thinking (CMT). Students aged 5-6 who are beginning their first formal year of education participated in the study. Data is presented from individual clinical interviews undertaken with 16 students. These interviews were analysed using…

Assessment is a topic of concern to all stakeholders in our educational system. Pattern Based Questions are an assessment tool which is an alternative to the standardized assessment tool, and they are based on generative learning pedagogy, which shows promise in engaging all learners and usefulness in teaching and learning but validity has not yet…

Piaget's theory of stage structure is synonymous with discussions involving cognitive development. As with any theoretical model, researchers inevitably and rightly seek to affirm and/or contest the elements of the model presented. In this comparative study, students' performance across three hands-on engineering tasks for two distinct student…

This paper examined the effect of the Unplugged Programming Teaching Aids (UPTA) on students' computational thinking and classroom interaction. A set of UPTA was created and used in a primary school in southern China. A total of 48 students aged 6-8 were assigned to two classes, with the same instructor and learning materials, but only the…

The purpose of this research is to construct a preliminary genetic decomposition delineating the mental constructions underlying probabilistic independence. This delineation is considered within the framework of APOS theory. While the use of the term independence in probability is often conflated with causation, the definition relies instead upon…

This article scrutinises one of the mainstream views of how one grows into responsible membership of society; the view based on Jürgen Habermas', Lawrence Kohlberg's and Jean Piaget's theories. Habermas praises Kohlberg's and Piaget's psychological theories and uses them as empirical sources crucial for his theoretical work. We argue that this…

The present study aimed to identify the stage of thinking of practicum students at Najran University in light of Piaget's theory and its relationship to their academic achievement in the scientific disciplines they were studying at the college of science, mainly mathematics, physics and chemistry disciplines. The sample consisted of (50) female…

"Critical", "Criticism", and "Critic" all come from the age-old Greek word "Kritikos", meaning able to authorise, discern, or decide. In contemporary English, a "Critic" is someone whose job is to make appraise judgements, for example, about films, books, music, or food. It means giving a fair and…

This study aims to analyse the reasoning that children and adults with the same school level use to assess and justify the fairness of games, considering aspects of probability such as randomness, sample space, and comparison of probabilities. Data collection included a Piagetian clinical interview based on games of chance. The results showed that…

Teacher knowledge of students' mathematical thinking has been a growing research area in mathematics education. Although researchers have made substantial progress in understanding students' mathematical thinking and created research programs and curricula tailored to the research findings, teacher education programs have, by and large, not been…

Sorting is a fundamental computing concept. As for today, it is taught at the secondary school level. However, this kind of algorithm is an obstacle for some students due to its high level of abstraction. To prevent discouragement as well as to incorporate a fun and challenging algorithmic task, a novel tablet-based digital game,…

This article addresses the problem of "education for all," and offers a research proposal that replaces procedural learning by a learning practice whereby all are engaged. Although educational research since 1990 of dialogical learning (DL) and collaborative learning (CL) have shown that it is possible to promote the learning practices…

The purpose of the research is to describe and analyze the implementation of Scaffolding based on Cognitive Conflict in correcting the students' errors in Algebra material. The research uses Mix Method, that is a combination of quantitative and qualitative methods. There are 25 students that are involved and tested on Algebra material. They are…