In this exploratory study, we examined the effects of a quantitative reasoning instructional approach to linear equations in two variables on community college students' conceptual understanding, procedural fluency, and reasoning ability. This was done in comparison to the use of a traditional procedural approach for instruction on the same topic.…

Representations of numerical value have been assessed by using bounded (e.g., 0-1,000) and unbounded (e.g., 0-?) number-line tasks, with considerable debate regarding whether 1 or both tasks elicit unique cognitive strategies (e.g., addition or subtraction) and require unique cognitive models. To test this, we examined how well a mixed log-linear…

Despite their widespread use, there is little academic evidence on whether applicant selection instruments can improve teacher hiring. We examine the relationship between two screening instruments used by Spokane Public Schools to select classroom teachers and three teacher outcomes: value added, absences, and attrition. We observe all applicants…

In 2011, Subotnik, Olszewski-Kubilius, and Worrell proposed a conceptual model for talent development applicable to all domains. Although grounded in available psychological research, significant questions remain regarding practical applications of each tenet of the model. In this article, we highlight a method of implementing the model's focus on…

There are many potential ways to represent arithmetical tasks, but students' choices may be limited by beliefs that only certain standardised representations are "legitimate" in school mathematics. Furthermore, concern for the quantity and speed of "work done" can override opportunities for meaningful engagement with the…

The purpose of this study was to identify the multilevel latent classes for reading, mathematics, and science success of the students, who participated in the Programme for International Student Assessment (PISA) 2012 from Turkey and to determine the predictive ability of: i) students' perseverance; ii) their openness to problem solving; iii)…

The acquisition of numerical competency is regarded as imperative for quality of life and economic well-being. Many children have significant mathematical learning difficulties known as dyscalculia. The aim of this research was to systematically review the available literature for interventions with children presenting with dyscalculia in primary…

The aim of this study was to explore the beliefs of elementary school students about mathematics and about themselves as mathematics learners. The participants, Israeli grade 4 and grade 6 students, completed questionnaires. Using an "animal metaphor" to tap beliefs, some students perceived mathematics as difficult and complicated, while…

A variety of instructional practices have been recommended to increase the problem-solving (PS) performance of elementary school children. The purpose of this meta-analysis was to systematically review research on the use of schema instruction to increase the PS performance of elementary school-age students. A total of 21 studies, with 3,408…

The role and function of the mathematics textbook has been widely discussed since its inclusion in the Trends in International Mathematics and Science study (TIMSS) in the late nineties. It is a common feature in many classrooms worldwide and has been identified as an important vehicle for the promotion of curricula. However, there has also been…

Teachers with proper training in knowledge transfer to different students, in the creation of suitable learning conditions, the motivation of students for active cooperation and peer learning, in the formation of classroom community, as well as independent and responsible personalities, can provide quality education. Teacher's classroom management…

Internationally mathematical modeling is garnering more attention for the benefits associated with it. Mathematical modeling can develop students' communication skills and the ability to demonstrate understanding through different representations. With the increased attention on mathematical modeling, there is a need for more curricula to be…

Background: Rational numbers are of critical importance both in mathematics and in other fields of science. However, they form a stumbling block for learners. One widely known source of the difficulty learners have with rational numbers is the natural number bias, that is the tendency to (inappropriately) apply natural number properties in…

A science, technology, engineering, and mathematics-influenced classroom requires learning activities that provide hands-on experiences with technological tools to encourage problem-solving skills (Brophy et al. in "J Eng Educ" 97(3):369-387, 2008; Mataric et al. in "AAAI spring symposium on robots and robot venues: resources for AI…

This investigation examined the thinking of 128 pre-service teachers about the magnitude of large numbers and the relationships between large numbers. These pre-service teachers responded to a written task asking them to place one billion on a number line that included zero and one trillion and to provide an explanation for their placement. One…