This document introduces, describes and exemplifies the technical features of some recently implemented automated reasoning tools in the dynamic mathematics software GeoGebra. The new tools are based on symbolic computation algorithms, allowing the automatic and rigorous proving and discovery of theorems on constructed geometric figures. Some…

In the current study, we investigated the effects of an instructional package on the construction of sentences writing by four children ages 6-9, with autism spectrum disorder (ASD). We employed a multiple probe across behaviors design to evaluate the efficacy of the intervention package and also conducted probes to assess generalization and…

Purpose: Variability in the input plays an important role in language learning. The current study examined the role of object variability for new word learning by preschoolers with specific language impairment (SLI). Method: Eighteen 4- and 5-year-old children with SLI were taught 8 new words in 3 short activities over the course of 3 sessions.…

The main purpose of this study is to determine ways of thinking and understanding of eight graders related to generalizing act. To carry out this aim, a DNR based teaching experiment was developed and applied to 9 eight graders. The design of the study consists of three stages; preparation process in which teaching experiment is prepared, teaching…

Functional communication training (FCT) is one of the most commonly prescribed interventions for the treatment of severe destructive behavior exhibited by individuals with intellectual disabilities. Although highly effective, FCT has been shown to fail in some cases when treatment is introduced into the child's typical environment. Basic and…

This paper describes and analyses the results of research into the learning experiences of young people in Germany who sponsor a child living in the Global South as part of their school activities. First, the research context and methodological approach is presented. A qualitative-reconstructive design was applied using the documentary method of…

Previous research has found that different presentations of the same concept can result in different patterns of transfer to isomorphic instances of that concept. Much of this work has framed these effects in terms of advantages and disadvantages of concreteness or abstractness. We note that mathematics is a richly structured field, with deeply…

Policymakers have grown increasingly interested in how experimental results may generalize to a larger population. However, recently developed propensity score-based methods are limited by small sample sizes, where the experimental study is generalized to a population that is at least 20 times larger. This is particularly problematic for methods…

This study reports errors and misconceptions about division operation in fractions made by eighth-grade students. To investigate these errors and misconceptions, the study examined students' understanding of division operation in fractions using a questionnaire and expectation table. Students' misconceptions were determined for each question and…

Purpose: To investigate the effect of generalization of engagement in parkour from physical education (PE) to organized and supervised recess on voluntary participation and moderate-to-vigorous physical activity (MVPA). Method: Children received a 6-day parkour unit in PE and every two lessons they could voluntarily participate in 20-min parkour…

The understanding and generalisation of causality are important thinking abilities, as they form the basis for a person's activity. Researchers exploring these abilities do not have a unified opinion regarding the age of children when they develop causative understanding and its determinant factors (e.g. age, prior knowledge, the content of a…

This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained. In addition, the two well-known identities of Sury and Marques which…

We taught three children diagnosed with autism spectrum disorder to request help using an interrupted chain procedure during which we manipulated task materials such that the child was either incapable or capable of independently completing a link of a behavior chain. We initially observed undesirable generalization of requests for help during…

Constructivist views of cognitive development often converge on 2 key points: (1) the child's goal is to build large conceptual structures for understanding the world, and (2) the child plays an active role in developing these structures. While previous research has demonstrated that young children show a precocious capacity for concept and theory…

This paper critically explores how survey and routinely collected data could aid in assessing the generalisability of public health evidence. We propose developing approaches that could be employed in understanding the relevance of public health evidence, and investigate ways of producing meta-analytic estimates tailored to reflect local…