In this article, examples are shown to demonstrate how open-ended mathematical activities can be used in the classroom. Open-ended activities give students opportunities to apply their understanding in unfamiliar contexts without the pressure of finding one perfect solution.

An ongoing debate in the literature on human reasoning concerns whether or not the logical status (valid vs. invalid) of an argument can be intuitively detected. The finding that conclusions of logically valid inferences are liked more compared to conclusions of logically invalid ones--called the logic-liking effect--is one of the most prominent…

The role of statistics is wide and crucial in daily life, making statistics important. Many students have difficulty understanding statistics. This study aims to determine students' statistical reasoning about inference statistics, which is limited to the subject matter of the testing hypotheses about two-sample hypotheses testing. This study used…

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…

The fact that the mathematics course is abstract, that it is not possible to associate it with daily life, and that it is impossible to concretize abstract expressions causes a prejudice against the this course and leads to a decrease in the academic achievements of students. It is seen that throughout history, various studies have been carried…

This paper argues that compression is a hallmark of creativity, demonstrating the effect of the process of compression and decompression on the cultivation of creative potentials. This study also suggests some cognitive strategies by which creative literary compression can be encoded and decoded in the light of some relevant theories. In order to…

Theory of mind (ToM) refers to the ability to make inferences about mental states. Thus far, little research has examined ToM development in middle childhood. Importantly, recent studies have distinguished between making inferences about beliefs (cognitive ToM) and emotions (affective ToM). ToM has also been associated with executive functioning,…

Successful analogical reasoning requires an analogue in a source domain to have high degrees of structural and surface similarity with a learning task in a target domain. It also requires learners to have sufficient source- and target-domain knowledge. We review the literature and speculate that "less" might create "more"; in…

A study had been conducted in qualitative design employing phenomenology approach to examine the cognitive basis and the semantic structure of phenomena based reasoning of lower secondary school students in Ambon. The data of the study were collected by using a test. Phenomena stimulus of science was given to the informants in the form of…

Humans have a unique ability to generate novel norms. Faced with the knowledge that there are hungry children in Somalia, we easily and naturally infer that we ought to donate to famine relief charities. Although a contentious and lively issue in metaethics, such inference from "is" to "ought" has not been systematically…

Informal statistical inference has now been researched at all levels of schooling and initial tertiary study. Work in informal statistical inference is least understood in the early years, where children have had little if any exposure to data handling. A qualitative study in Australia was carried out through a series of teaching experiments with…

The study of formal logic helps to improve the process of thinking and tries to refine and improve the thinking ability. The objectives of this study are to know the effectiveness of formal logic course and to determine the critical thinking variables that are effective and that are ineffective. A sample of 214 students is selected from all the…

The study aims to identify the critical level thinking of students in higher education. It is focused to evaluate the level of critical thinking variables among the students in Nizwa College of Technology and to determine whether these variables are influenced by gender and department. The data for the research is collected from 281 diploma…

Research on young children's reasoning show the complex relationships of knowledge, theories, and evidence in their decision-making and problem solving. Most of the research on children's reasoning skills has been done in individualized and formal research settings, not collective classroom environments where children often engage in learning and…

There is growing recognition of the importance of developing young students' informal inferential reasoning (IIR). This focus on informal inference in school statistics has implications for teacher education. This study reports on 26 preservice teachers utilizing Lesson Study to support a focus on the teaching of IIR in primary classrooms.…