Algebraic thinking is the ability to generalize about numbers and calculations, find concepts from patterns and functions and form ideas using symbols. It is important to know the student's algebraic thinking process, by knowing the student's thinking process one can find out the location of student difficulties and the causes of these…

This article aims to propose a digital version of Darwazeh's learning taxonomy. The DLT consists of 10 cognitive processes sequenced hierarchical from simple to complex either vertically from one mental process to another, or horizontally in each mental process. These cognitive processes are facts' remembrance, generalities' remembrance,…

Algebraic thinking in children can bridge the cognitive gap between arithmetic and algebra. This quantitative study aimed to develop and test a cognitive model that examines the cognitive factors influencing algebraic thinking among Year Five pupils. A total of 720 Year Five pupils from randomly selected national schools in Malaysia participated…

Generalization is a critical component of mathematical reasoning, with researchers recommending that it be central to education at all grade levels. However, research on students' generalizing reveals pervasive difficulties in creating and expressing general statements, which underscores the need to better understand the processes that can support…

The problem that the given paper aims to solve is associated with the need to resolve the contradiction between the requirements of the digital economy for a high level of computational thinking of specialists of the future and an insufficiently developed methodological base for training graduates that meets these requirements. The purpose of the…

The article outlines ways that teachers could use the content in Biomes and Food Security unit in the Australian curriculum, and its state and territory versions, to encourage their students to engage with higher order thinking. It first briefly discusses how to describe and classify higher-order thinking and argues that concepts are central to…

Computational Thinking is considered a universal competence, which should be added to every child's analytical ability as a vital ingredient of their school learning. In this article we further elaborate on what Computational Thinking is and present examples of what needs to be taught and how. First we position Computational Thinking in Papert's…

The study of functions is a critical route into teaching and learning algebra in the elementary grades, yet important questions remain regarding the nature of young children's understanding of functions. This article reports an empirically developed learning trajectory in first-grade children's (6-year-olds') thinking about generalizing functional…

Purpose: In the current study, the author aimed to determine whether 4- to 6-year-old typically developing children possess requisite problem-solving and language abilities to produce, generalize, and retain a novel verb inflection when taught using an explicit, deductive teaching procedure. Method: Study participants included a cross-sectional…

The paper presents findings of primary school children's performance on classification and generalisation tasks to demonstrate the fundamental connection between their verbal thinking processes and problem-solving, on the one hand, and the practical activities of their society and culture, on the other. The results reveal that, although children…

Two-year-old children's reasoning about the relation between their own and others' preferences was investigated across two studies. In Experiment 1, children first observed 2 actors display their individual preferences for various toys. Children were then asked to make inferences about new, visually inaccessible toys and books that were described…

The main purpose of this study is to determine the strategies of using the generalizing patterns of the primary fifth grade students. The practice of this research is conducted on twelve students, which have high, middle and low success levels. Task-based interviews and students journals are used as the tools for data collection. For the analysis…

We examined the influence of prior exposure to specific animal properties on 15-month-old infants' inductive generalization. Using picture books, 29 infants were trained on properties linked in a congruent or incongruent manner with four animal categories. A generalized imitation task was then administered to assess patterns of property extension…

People are capable of thinking about the future, the past, remote locations, another person's perspective, and counterfactual alternatives. Without denying the uniqueness of each process, it is proposed that they constitute different forms of traversing psychological distance. Psychological distance is egocentric: Its reference point is the self…

This paper examines the question of whether there are useful general thinking skills. It offers a working definition of "thinking skill" and identifies ways in which this concept has been over-applied. Thinking skills, used across domains, are not inevitably weak as a result of the generality-power tradeoff. Admitting that thinking skills require…