Objective: The aim of this study is twofold: First, to investigate whether cognitive functions can contribute to differentiating neglected children with or without physical abuse compared to comparison participants; second, to demonstrate the detrimental impact of children being victimized by a combination of different types of maltreatment.…

While problem solving is a generally accepted goal of most science courses, it has previously been difficult to determine the extent to which students' problem-solving abilities are impacted by these courses. Interactive Multi-Media Exercises (IMMEX) is a web-based software package that can deliver multiple cases of case-based problems and keep…

The term "conceptual simulation" refers to a type of everyday reasoning strategy commonly called "what if" reasoning. It has been suggested in a number of contexts that this type of reasoning plays an important role in scientific discovery; however, little "direct" evidence exists to support this claim. This article proposes that conceptual…

In many mathematics classes, students are asked to learn via the discovery method, in the hope that the intrinsic beauty of mathematics becomes more accessible and that making conjectures, forming hypotheses, and analyzing patterns will help them compute fluently and solve problems creatively and resourcefully (NCTM 2000). The activity discussed…

"Principles and Standards for School Mathematics" (NCTM 2000) proposes that mathematics instruction provide opportunities for students to engage in mathematical inquiry and in meaning-making through discourse. Mathematics teachers are encouraged to build on student discoveries in designing subsequent instruction. In this article, the author…

The steady tendencies toward the decline in the size of Russia's population in the twenty-first century, owing to the effect of global political, social, and economic factors, are giving rise to a number of fundamental problems that have to do with the erosion of the conditions that are essential not only for the stable development of society, but…

This study examined the strategies used by pre-service teachers when responding to number sense related questions. 15 pre-service teachers from one University in Southern Taiwan were interviewed. Results indicated that about one-third of these pre-service teachers were able to use number sense strategies (such as understanding the meaning of…

Collaborative concept mapping engages two or more students in coordinated and sustained efforts in the creation of one or more concept maps in order to learn and construct knowledge. It is a potentially powerful instructional strategy in that it fosters meaningful learning and group knowledge construction and helps the building of common ground…

This article describes how the promotion of purposeful mathematical discussions can enhance young mathematicians' construction of knowledge and their explanation of strategy use.

Students often find their first university linear algebra experience very challenging. While coping with procedural aspects of the subject, solving linear systems and manipulating matrices, they may struggle with crucial conceptual ideas underpinning them, making it very difficult to progress in more advanced courses. This research has sought to…

How do students bridge everyday life views into physics understanding? We report from in-depth analysis of one group of four students, video-recorded over 135 min solving a context rich problem (CRP). Through transcripts of the group's conversations and from flow-charts made of the group talk we have categorised how students' experiences develop…

This article investigates several methods of identifying individual guessers from their response data. Both the posterior probability method and the likelihood ratio method are based on the two-state mixture modeling approach to response times. The accuracy method is based on response accuracy data. Results from the simulation study showed that…

In this article, the author presents some interesting geometric fallacies that were used in a problem-solving course for preservice high school mathematics teachers. He states that presenting these fallacies in ordinary math classes can enrich the class by making the students think hard about both the theorems themselves and the steps in the proof…

Last year, the author worked with a group of Key Stage 3 (KS3) consultants at a regional roadshow devoted to the topic of information and communications technology (ICT), "Embedding ICT in mathematics teaching." The roadshow was organized by the Association of Teachers of Mathematics (ATM) and the Mathematical Association (MA), and the…

This article describes the work of outreach mathematicians introducing the topic of complex variables to eighth and ninth grade students (13- to 15-year-olds) in the US. Complex variables is an area of mathematics that is not typically studied at secondary level. The authors developed seven lessons designed to stimulate students' interest in…