Understanding irrational actions may require the observer to make mental state inferences about why an action was performed. Individuals with autism spectrum conditions (ASC) have well documented difficulties with mentalizing; however, the degree to which rationality understanding is impaired in autism is not yet clear. The present study uses…

Special collections and area studies librarians face similar challenges in the changing academic library environment, including the need to articulate the value of these specialized collections and to mainstream processes and practices into larger discovery, teaching, learning, and research efforts. For some institutions, these similarities have…

In this "Delving Deeper" article, the author introduces the slip-slide method for solving Algebra 1 mathematics problems. This article compares the traditional method approach of trial and error to the slip-slide method of factoring. Tools that used to be taken for granted now make it possible to investigate relationships visually,…

This article is based on classroom application of a problem story constructed by Amos Tversky in the 1970s. His intention was to evaluate human beings' intuitions about statistical inference. The problem was revisited by his colleague, the Nobel Prize winner Daniel Kahneman. The aim of this article is to show how popular science textbooks can…

Student self-assessment is a central component of current conceptions of formative and classroom assessment. The research on self-assessment has focused on its efficacy in promoting both academic achievement and self-regulated learning, with little concern for issues of validity. Because reliability of testing is considered a sine qua non for the…

The Common Core State Standards for Mathematics expect students to build on their knowledge of the number system, expressions and equations, and functions throughout school mathematics. For example, students learn that they can add something to both sides of an equation and that doing so will not affect the equivalency; however, squaring both…

For efficiency in a linear algebra course the instructor may wish to avoid the undue arithmetical distractions of rational arithmetic. In this paper we explore how to write fraction-free problems of various types including elimination, matrix inverses, orthogonality, and the (non-normalizing) Gram-Schmidt process.

In her rich and wide-ranging paper, Nancy Snow argues that there is a virtue of generativity--an other-regarding desire to invest one's substance in forms of life and work that will outlive the self (p. 10). By "virtue" Snow means not just a desirable or praiseworthy quality of a person, but more precisely, as Aristotle defined it, a…

Children with autism often demonstrate disruptive behaviors during demanding teaching tasks. Language intervention can be particularly difficult as it involves social and communicative areas, which are challenging for this population. The purpose of this study was to compare two intervention conditions, a naturalistic approach, Pivotal Response…

In this Norwegian study, bidirectional relations between children's behavior problems and child-teacher conflict and closeness were examined, and the possibility of moderation of these associations by child-care group size was tested. Eight hundred and nineteen 4-year-old children were followed up in first grade. Results revealed reciprocal…

Many studies have attempted to describe the significant place of word problems at the intersection of mathematics, education and real world activity. In this essay the author suggests that the discussion of word problems needs to be reframed within a historical and dialectical conception of "mathematics," "the real world" and…

In an ethnomathematics-based program there exists the need for teachers to identify pedagogical actions in the form of teaching-learning practices. In this theoretical paper we outline a curriculum proposal based on D'Ambrosio's "Trivium," composed of "literacy," "matheracy," and "technoracy." The Trivium…

Mathematics is a fundamental part of human knowledge and one of the central planks of the modern technological revolution. But in our enthusiasm to promote its benefits too rarely do we stop to question our intended aims of teaching mathematics and the outcomes of learning mathematics in school. In this paper the standard aims of school…

We analyse students' answers to a set of tasks designed to gain information about their ability to reason proportionally. These tasks have been particularly designed to control for false positive, i.e. that students arrive at the correct answer for the wrong reasons, an effect we actually observe with respect to students' ability to reason…

The five thoughtful papers included in this issue of "Educational Researcher" ("ER") raise new questions about the use of value-added methods (VAMs) to estimate teachers' contributions to students' learning as part of personnel evaluation. The papers address both technical and implementation concerns, considering potential…