Currently, dynamic structural equation modeling (DSEM) and residual DSEM (RDSEM) are commonly used in testing intensive longitudinal data (ILD). Researchers are interested in ILD mediation models, but their analyses are challenging. The present paper mathematically derived, empirically compared, and step-by-step demonstrated three types (i.e.,…

Several researchers have called for schools to interpret universal screening results using posterior probabilities. Following this recommendation could require schools to move away from direct-route, single-measure screening unless base rates of risk fall within a narrow range. In this descriptive study, we investigated two questions surrounding…

Researchers increasingly identify virtual reality (VR) simulations as a potentially effective professional development tool. However, simulations used in education and behavior analysis typically require active oversight from technicians and instructors. "Smart" VR integrated with artificial intelligence could independently administer…

Number sense is fundamental to the development of numerical problem-solving skills. In early childhood, children establish associations between non-symbolic (e.g., a set of dots) and symbolic (e.g., Arabic numerals) representations of quantity. The developmental estrangement theory proposes that the relationship between non-symbolic and symbolic…

The purpose of this study was to examine the ways advanced mathematics students define "number" and the degree to which their definitions extend to different number domains. Of particular interest for this study are learners' fundamental conceptions of number and the implications for learners' interpretations of complex numbers (a + bi).…

Purpose: The aim of this study is to establish which specific cognitive abilities are phenotypically related to reading skill in adolescence and determine whether this phenotypic correlation is explained by polygenetic overlap. Method: In an Australian population sample of twins and non-twin siblings of European ancestry (734 [less than or equal…

In this study, it was aimed to identify the difficulties experienced by early childhood education teachers in planning, implementation and evaluation processes of in-class and out-of-class mathematics activities and parent involvement in such activities. The answers of the teachers to the questions on the interview form were recorded via a voice…

Ever try to captivate students with real-world applications only to discover that they live in a very different world? Assigning an Extreme Word Problem activity to students alleviates this dilemma by placing the authorship of a problem squarely into the hands of learners. Rather than trying to be hip and finding word problems that resonate with…

A growing body of evidence reveals the need for research on, and consideration for, children's and students' own--self-guided--spontaneous use of mathematical reasoning and knowledge in action. Spontaneous focusing on numerosity (SFON) and quantitative relations (SFOR) have been implicated as key components of mathematical development. In this…

Despite the importance of replication, it remains rare in the interactive learning research community. In this paper, we attempt to replicate recent quasi-experimental results suggesting that the ALEKS intelligent tutoring system is effective at improving student course outcomes in higher education (Mojarad et al., 2018). In this paper, we conduct…

Long-standing and ongoing calls exist for making mathematics meaningful, relevant, and applicable outside the classroom. Major mathematics education organizations (National Council of Teachers of Mathematics [NCTM], National Council of Supervisors of Mathematics [NCSM], Association of Mathematics Teacher Educators [AMTE], TODOS: Mathematics for…

This study describes a professional development (PD) program designed to support middle school teachers in effectively integrating robotics in science and mathematics classrooms. The PD program encouraged the teachers to develop their own science and mathematics lessons, aligned with national standards, infused with robotic activities. A…

This study compares web usage data with interviews from 41 participants, who are members of an online professional development site called the "Everyday Mathematics" Virtual Learning Community (VLC), to explore how elementary school teachers learn from classroom video. Web usage data reveal that the commentary surrounding video posted to…

In this paper, we describe the evolution of calculus instruction at a mid-sized, career-oriented, comprehensive public university. Changes in practice, that began with a single faculty member implementing technology as a tool for student inquiry, have spread to other department faculty via support from an internal grant, workshops, and the use of…

In the mathematics education literature, subject matter knowledge is well recognized as the cornerstone of a mathematics teacher's knowledge base. Though the 'Mathematics Problem', the declining standards of students' mathematical abilities upon entering tertiary education, is well documented in many countries, its effect on preservice mathematics…