A Graphing Calculator (GC) is one of the most portable and affordable technology in mathematics education. It quickens the mechanical procedure in solving mathematical problems and creates a highly interactive learning environment, which makes learning a seemingly difficult subject, easy. Since research on the use of GCs for the teaching and…

In this article, we describe the design principles undergirding "productive failure" (PF; M. Kapur, 2008). We then report findings from an ongoing program of research on PF in mathematical problem solving in 3 Singapore public schools with significantly different mathematical ability profiles, ranging from average to lower ability. In…

In this study, we examined special education students' use of indirect addition (subtraction by adding on) for solving two-digit subtraction problems. Fifty-six students (8- to 12-year-olds), with a mathematical level of end grade 2, participated in the study. They were given a computer-based test on subtraction with different types of problems.…

This study examined associations among several measures of emotion regulation, and their links to depressive symptoms, in a sample of children ages 10-12 years old (N = 87). Both temporal features of emotion regulation and regulation processes involved in the evaluation, monitoring, and modification of emotion were assessed through parent and…

The present study explores the effects of parental scaffolding of children's problem solving on the development of executive function (EF). Eighty-two children were assessed at 2, 3, and 4 years of age on a variety of EF tasks and, at ages 2 and 3, on a problem-solving puzzle with which parents offered structured assistance (i.e., scaffolding).…

Research has shown that students should be given the opportunity to explore mathematical concepts by building on their knowledge and focusing on mathematical reasoning. When students represent ideas, make conjectures, collaborate with others, and give explanations and arguments, they are using mathematical reasoning (NCTM 2000). Certain teaching…

Students may be able to set up a relevant proportion and solve through cross multiplication. However, this ability may not reflect the desired mathematical understanding of the covarying relationship that exists between two variables or the equivalent relationship that exists between two ratios. Students who lack this understanding are likely to…

Transfer is typically thought of as requiring individuals to "see" what is the same in the deep structure between a new target problem and a previously encountered source problem, even though the surface features may be dissimilar. We propose that experts can "see" the deep structure by considering the first-order interactions…

The purpose of this study was to investigate interpersonal problem solving approaches with respect to attachment styles. The participants were 554 (279 female and 275 male) university students. Pearson product-moment correlation coefficients and multiple regression analysis were used. The results of the study showed that the attachment styles of…

This article presents a review of the Comprehensive Test of Nonverbal Intelligence-Second Edition (CTONI-2), a nonverbal intelligence test created to assess reasoning and problem solving of children and adults. The goal of the CTONI-2 is to minimize the influence of language ability on intelligence test scores. Oral or pantomime instructions can…

Has technology revolutionised the mathematics classroom, or is it still a device waiting to be exploited for the benefit of the learner? There are applets that will enable the user to solve complex equations at the push of a button. So, does this jeopardise other methods, make other methods redundant, or even diminish other methods in the mind of…

"When making mathematical models, technology is valuable for varying assumptions, exploring consequences, and comparing predictions with data," notes the Common Core State Standards Initiative (2010, p. 72). This exploration of the recursive process in the Devil and Daniel Webster problem reveals that the symbolic spreadsheet fits this bill.…

This story is a chemical mystery with an emphasis on qualitative analysis. It is, as well, part of a body of work that presents a scientific problem in mystery format in the context of the popular and beloved characters of 221B Baker Street. A break within the story allows readers to ponder and solve the mystery. Holmes and Watson provide the…

Cluster analysis is a group of statistical methods that has great potential for analyzing the vast amounts of web server-log data to understand student learning from hyperlinked information resources. In this methodological paper we provide an introduction to cluster analysis for educational technology researchers and illustrate its use through…

Over the past decade there has been a major move to position "thinking" (however thinking is defined and enacted) as a more explicit outcome within the curriculum of many nations, with implications for teachers' professional development, assessment, and examination requirements. This paper analyses approaches to this challenge taken by…