In recent years, ample research has shown that preschoolers choose selectively who to learn from, preferring, for example, to learn novel words from a previously accurate over a previously inaccurate model. But this research has not yet resolved what cognitive foundations such selectivity builds upon. The present article reports 2 studies that…

The analogical reasoning isn't used only in mathematics but also in everyday life. In this article we approach the analogical reasoning in Geometry Education. The novelty of this article is a classification of geometrical analogies by reasoning type and their exemplification. Our classification includes: analogies for understanding and setting a…

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…

In this paper we present a case study of an individual student who consistently used semantic reasoning to construct proofs in calculus but infrequently used semantic reasoning to produce proofs in linear algebra. We hypothesize that the differences in these reasoning styles can be partially attributed to this student's familiarity with the…

Proportional reasoning is key to students' acquisition and application of complex mathematics and science topics. Research is needed regarding how students' progress towards and come to demonstrate key developmental understandings within proportional reasoning. To this end we created and administered assessment items to 297 middle grades students.…

Deep Thought is a logic tutor where students practice constructing deductive logic proofs. Within Deep Thought is a data-driven mastery learning system (DDML), which calculates student proficiency based on rule scores weighted by expert-decided weights in order to assign problem sets of appropriate difficulty. In this study, we designed and tested…

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…

Background: In a science classroom, students do not simply learn scientific ways of doing, knowing, and reasoning unless they find ways of appropriating scientific discourse. In the Next Generation Science Standards, major forms of "scientific discourse" are emphasized as a main part of the Science and Engineering Practices. To enhance…

The geometry in flipbook multimedia can improve the necessary skills of the 6th graders, so that they achieve the highest level of geometric thinking that is informal deductive. The flipbook which uses technology with flipping experience, animation, video, and music is different than the ordinary printed book. Also, it looks more exciting and…

Theoretical analysis of whole number-based calculation strategies and digit-based algorithms for multi-digit multiplication and division reveals that strategy use includes two kinds of reasoning: reasoning about the relations between numbers and reasoning about the relations between operations. In contrast, algorithms aim to reduce the necessary…

The current study explores the perceptions of a group of Academic English (AE) lecturers on their views on critical thinking in teaching English for academic purposes and the ways they believe this can be developed, if at all. The findings suggest that the majority of teachers believe in the importance of touching upon critical thinking in their…

Major recent interpretations of the conjunction fallacy postulate that people assess the probability of a conjunction according to (non-normative) averaging rules as applied to the constituents' probabilities or represent the conjunction fallacy as an effect of random error in the judgment process. In the present contribution, we contrast such…

In recent years, Bayesian learning models have been applied to an increasing variety of domains. While such models have been criticized on theoretical grounds, the underlying assumptions and predictions are rarely made concrete and tested experimentally. Here, I use Frank and Tenenbaum's (2011) Bayesian model of rule-learning as a case study to…

In the authors' attempts to incorporate problem solving into their mathematics courses, they have found that student ambition and creativity are often hampered by feelings of risk, as many students are conditioned to value a produced solution over the actual process of building one. Eliminating risk is neither possible nor desired. The challenge,…

Using existing longitudinal data from 570 infants in the Maternal Lifestyle Study, we explored the predictive value of maternal and infant affect and maternal vocalizations during 2 minutes of face-to-face interactions at 4 months on IQ scores at 4.5 and 7 years. After controlling for demographic factors, maternal depression, and prenatal drug…