Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…

This study explores the long-term effects of difficulties in reading and mathematical skills on educational achievement and successful graduation from secondary education as well as the role of special education in successful graduation. Study participants were all 16-year-old ninth graders from one Finnish city (N = 595; 302 females, 293 males)…

We provide a conceptual analysis of how combinatorics problems have the potential to support students to establish non-linear meanings of multiplication (NLMM). The problems we analyze we have used in a series of studies with 6th, 8th, and 10th grade students. We situate the analysis in prior work on students' quantitative and multiplicative…

Does the mathematical reasoning ability develop with increase in age? How is mathematical reasoning ability differing according to gender? The current study is trying to find answers to these two questions. The study using cross-sectional design, was conducted with 409 (8th, 9th and 10th grade) students attending middle school and high school in…

Algebra is critical to high school graduation and college success, but student achievement in algebra frequently falls significantly below expected proficiency levels. While existing research emphasizes the importance of quality algebra instruction, there is little research about how to conduct problem analysis for struggling secondary students.…

This study examines whether and how student-perceived parents' and teachers' overestimation of students' own perceived mathematical ability can explain trajectories for adolescents' mathematical task values (intrinsic and utility) controlling for measured achievement, following expectancy-value and self-determination theories. Longitudinal data…

Most of the tests and inventories used by counseling psychologists have been developed using CTT; IRT derives from what is called latent trait theory. A number of important differences exist between CTT- versus IRT-based approaches to both test development and evaluation, as well as the process of scoring the response profiles of individual…

The work described in this report is the second phase of a project to provide easy-to-use tools for authoring and rendering secondaryschool algebra-levelmath expressions insynthesized speech that is useful for studentswithblindnessor lowvision.This report describes the development and results of the second feedback study performed for our project,…

Student self-concept of math ability (SCMA) and math utility value shape course-taking patterns, achievement, and entree into mathematics-intensive college majors (Eccles & Wigfield, 2005). The development of SCMA and math utility value are embedded in social contexts (Marsh et al., 2005). School racial climate is a particularly important…

This study extends previous research on the long-term connections between motivation constructs in expectancy-value theory and achievement outcomes. Using growth mixture modelling, we examined trajectories of change for 421 students from 4th grade through college in their self-concept of ability (SCA) in math, interest in math, and perceived…

National trends and goals have pushed beyond the dropout crisis and are now focused on raising the percentage of graduates prepared for college and career. This study examined a longitudinal cohort (n = 6443) of students in an urban, public school district in order to explore how districts and communities can redirect off-track high school…

A synthesis of the extant research on peer-mediated reading and math interventions for students in regular or alternative education settings with academic difficulties and disabilities in Grades 6 to 12 (ages 11-18) is presented. Interventions conducted between 2001 and 2012 targeting reading and math were included if they measured effects on at…

This causal-comparative study examined the relationship between enrollment/non-enrollment in music programs of differing content or quality and mathematical achievement among 739 secondary (grades 8-12) students from four different Maryland counties. The students, both female and male, were divided into sample groups by their participation in a…

Robotics competitions for K-12 students are popular, but are students really learning and improving their STEM scores through robotics competitions? If not, why not? If they are, how much more effective is learning through competitions than traditional classes? Is there room for improvement? What is the best robotics competition model to maximize…