The aim of this study was to examine the relationship between mathematics thinking sub-dimensions (higher order thinking, reasoning, mathematical thinking and problem-solving) and critical thinking disposition. In addition, this study investigated whether mathematical thinking sub-dimensions are significant predictors of critical thinking…

The purpose of this study is to determine the curriculum design approach preferences of pre-service teachers who have been receiving pedagogical training. The sample of the study consists of 138 pre-services teachers who took the curriculum development course in pedagogical formation education. In the study, "Teachers' Curriculum Design…

Retrieval practice has been widely studied as an effective strategy for enhancing memory. In this review article, we discuss how its effects on learning complex problem-solving procedures are less straightforward, however, with repeated studying of worked examples sometimes more effective than problem-solving practice. This worked example benefit…

Research has shown a bi-directional association between the (perceived) amount of invested effort to learn or retrieve information (e.g., time, mental effort) and metacognitive monitoring judgments. The direction of this association likely depends on how learners allocate their effort. In self-paced learning, effort allocation is usually data…

Purpose: This preliminary study aimed to investigate teacher self-efficacy over a one-year period under a project called "Professional development to enhance student thinking and problem-solving skills." Teachers' self-efficacy was focused due to the fact that personal belief in one's capabilities to complete tasks or achieve goals or…

As the core element of classroom teaching, questions play an essential role in constructing students' knowledge systems and cultivating their ability to discover, explore, analyze, and solve problems. Therefore, the design and application of appropriate questions is the key to the success of classroom teaching. Teaching based on protocol-guided…

The aim of this paper is to survey recent research publications that use Soft Computing methods to answer education-related problems based on the analysis of educational data 'mined' mainly from interactive/e-learning systems. Such systems are known to generate and store large volumes of data that can be exploited to assess the learner, the system…

In large-scale assessments, performance differences across different groups are regularly found. These group differences (e.g., gender differences) are often relevant for educational policy decisions and measures. However, the formation of these group differences usually remains unclear. We propose an approach for investigating this formation by…

The authors of the scientific study examine the impact of the relationship of theoretical knowledge on practical skills in technical subjects at the lower secondary level of education in the Slovak Republic. After determining the research problem and hypotheses, they bring the processed results in the form of tables and figures. Quantitative…

Students in secondary school often struggle with symbol sense, that is, the general ability to deal with symbols and to recognize the structure of algebraic formulas. Fostering symbol sense is an educational challenge. In graphing formulas by hand, defined as graphing using recognition and reasoning without technology, many aspects of symbol sense…

The purpose of this paper is to explore the importance of problem posing in learning mathematics at the compulsory education level. Despite acknowledging that children have a natural disposition to pose questions, no curricular provision currently exists for the conceptualisation and operationalisation of mathematical problem posing within…

Failure is an inevitable human experience, which can offer great learning opportunities. Yet, in current educational contexts, failure has largely been eschewed to minimize students' frustration and confusion. Such a failure-avoidance approach is also reflected in the cases used for instruction. To maximize learning, more studies are needed to…

A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by…

Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.

Cognitive load can play a key role in learners' abilities to solve complex problems like mathematics. Many factors can affect the presence of cognitive load in learning including instructional strategy, task difficulty and prior knowledge. To understand the interaction of above factors and their influence on learner cognitive load and performance,…