The Gain-Loss model is a probabilistic skill multimap model for assessing learning processes. In practical applications, more than one skill multimap could be plausible, while none corresponds to the true one. The article investigates whether constraining the error probabilities is a way of uncovering the best skill assignment among a number of…

Galen (2012), critically reviewing recent research on religion and prosociality, concludes that the religious prosociality hypothesis is a (congruence) fallacy. The observed effects are not real: They only reflect stereotypes and ingroup favoritism, are due to secular psychological effects, are inconsistent, and confound (e.g., by ignoring…

The transition from learner to teacher of mathematics is often a difficult one for prospective elementary teachers to negotiate. Learning to teach necessitates the opportunity to practice the discourse of teacher of mathematics. The undergraduate mathematics content classroom provides a setting for prospective teachers to practice the discourse of…

Demonstrating probabilistic outcomes using real-time data is especially well-suited to larger lecture classes where one can generate large data sets easily. The difficulty comes in quickly collecting, analyzing, and displaying the information. With the advent of wireless polling technology (clickers), this difficulty is removed. In this paper we…

Empirical and theoretical literature on cooperative problem solving in preschool children suggests that integrating features of play into structured, experimental settings should increase the benefits of joint peer interactions and task performance. Four- and five-year-old peer dyads completed a playful, flexible, and child-driven building task or…

Sometimes, in the teaching and learning of mathematics, open-ended problems posed by teachers or students can lead to a fuller understanding of mathematical concepts--a depth of understanding that no one could have anticipated. Interesting solutions and ideas emerged unexpectedly when the authors asked prospective and in-service teachers an "old"…

Holyoak and Koh (1987) and Holyoak (1984) propose four critical tasks for analogical transfer to occur in problem solving. A study was conducted to test this hypothesis by comparing a multiple components (MC) approach against worked examples (WE) in helping students to solve algebra word problems in chemistry classes. The MC approach incorporated…

The present study aimed to analyse the potential difficulties in the problems posed by pre-service teachers about first degree equations with one unknown and equation pairs with two unknowns. It was carried out with 20 pre-service teachers studying in the Department of Elementary Mathematics Educations at a university in Eastern Turkey. The…

Calculus II students know that many alternating series are convergent by the Alternating Series Test. However, they know few alternating series (except geometric series and some trivial ones) for which they can find the sum. In this article, we present a method that enables the students to find sums for infinitely many alternating series in the…

In this essay, I examine the concept of thinking in Hannah Arendt's writings. Arendt's interest in the experience of thinking allowed her to develop a concept of thinking that is distinct from other forms of mental activity such as cognition and problem solving. For her, thinking is an unending, unpredictable and destructive activity without fixed…

Alternative education students face many interacting challenges that put them at significant risk of dropping out of school (Carver & Lewis, 2010), as well as deleterious health and psychological outcomes, and intergenerational cycles of sociopolitical disadvantage (Laird, Kienzel, Debell & Chapman, 2007). Despite the persistent national…

The executive summary a case study of two authorizers--Denver Public Schools and the District of Columbia (D.C.) Public Charter School Board--both with strong outcomes in many areas and a high or growing charter enrollment. For each, it summarizes how their approach to authorizing has shaped the way they address the issues that arise as charter…

This report provides a case study of two authorizers--Denver Public Schools and the District of Columbia (D.C.) Public Charter School Board--both with strong outcomes in many areas and a high or growing charter enrollment. For each, it summarizes how their approach to authorizing has shaped the way they address the issues that arise as charter…

A mixed methods study was conducted to measure the effectiveness of a flipped classroom in a high school discrete mathematics course. In the flipped classroom, students watched videos of the teacher's lesson for homework while completing problems during class. Two sections of the course were involved in the study, with one group receiving the…

These proceedings contain papers of the 4th International Baltic Symposium on Science and Technology Education (BalticSTE2021) held in Šiauliai, Lithuania, June 21-22, 2021. This symposium was organized by the Scientific Methodical Center "Scientia Educologica" in cooperation with Scientia Socialis, Ltd. Lithuania. The proceedings are…