Educational programs for students with moderate and severe disabilities (MSD) have undergone drastic changes since the mandate for access to the general curriculum was provided by Individuals With Disabilities Education Act. Since then, educators have struggled to find methods to use to promote optimal learning, including in the area of…

Learning progressions (LPs) describe the development of domain-specific knowledge, skills, and understanding. Each level of an LP characterizes a phase of student thinking en route to a target performance. The rationale behind LP development is to provide road maps that can be used to guide student thinking from one level to the next. The validity…

This study assessed the extent to which executive functions (EF), according to their factor structure in 5-year-olds (N = 244), influenced early quantity-number competencies, arithmetic fluency, and mathematics school achievement throughout first and second grades. A confirmatory factor analysis resulted in updating as a first, and inhibition and…

The first author's initial attempts at a whole-class mathematics discussion were woefully dysfunctional. Ten second graders showing their answers to a missing addend question about the number of children left riding a school bus did not result in the mathematical epiphany that the textbook promised. She did not give up on using mathematical…

Early math instruction is the subject of increasing attention by early childhood researchers. There is evidence to suggest that early math skills are highly predictive of later academic achievement but that there are disparities in early math skills among young children. The purpose of this study was to examine the effectiveness of a systematic…

The present study examined clinical utility of teacher ratings on the Colorado Learning Difficulties Questionnaire (CLDQ) learning difficulties screening within a referred, school-aged sample (N=519, 5-18 years). Of this sample, 419 youth had CLDQ reading scale scores from a reading or general education teacher, and 338 had CLDQ math scale ratings…

Fundamental movement skills (FMS) are foundational and therefore play an important role in the overall development, sport-specific skills, and academic achievement of children. The aim of the study was to determine if a correlation exists between FMS and the academic performance of 5- to 6-year-old preschoolers. An empirical study including one…

Problem solving is an important yet neglected mathematical skill for students with autism spectrum disorder and intellectual disability (ASD/ID). In addition, the terminology and vocabulary used in mathematical tasks may be unfamiliar to students with ASD/ID. The current study evaluated the effects of modified schema-based instruction (SBI) on the…

People's attitudes toward mathematics are multifaceted. Across four studies, we found that children and adults have different attitudes about mathematics when asked specifically about whole numbers, as opposed to fractions. The vast majority of children and adults reported negative attitudes toward fractions despite having positive attitudes…

The problem addressed in this study was students who have not been able to demonstrate proficiency in performing mathematical computation, algebraic and geometrical reasoning, number sense proficiency and mathematical processing while in grades 3 through 8 are not prepared to successfully complete the high school high stakes Algebra 1 ECA…

Many students are passively engaged in mathematics content across the United States because they are in classrooms that use traditional instruction methods (i.e. lecture and guided practice). Calculus is a struggle for students because of the critical thinking, conceptual understanding, and problem solving required. Active learning has been shown…

This paper contributes to the Symposium: "Research Methods Involving Children's Drawings in Mathematical Contexts" by exploring the use of digital pens as a data gathering tool. The availability of digital recording devices has been a boon to researchers wanting to capture the real-time dynamics of a research situation. When capturing a…

Students' level of academic skills at school entry are a strong predictor of later academic success, and focusing on improving these skills during the preschool years has been a priority during the past ten years. Evidence from two prior nationally representative studies indicated that incoming kindergarteners' math and literacy skills were higher…

Explaining appears to dominate primary teachers' understanding of mathematical reasoning when it is not confused with problem solving. Drawing on previous literature of mathematical reasoning, we generate a view of the critical aspects of reasoning that may assist primary teachers when designing and enacting tasks to elicit and develop…

Teacher emotions are of growing interest in educational research, but empirical findings are still scarce. In their recent model illustrating the possible causes and effects of teacher emotions, Frenzel and colleagues argue that emotions are driven by subjective appraisals of success and failure. Specifically, these authors propose that teachers…