The cardinal and ordinal aspects of number have been widely written about as key constructs that need to be brought together in children's understanding in order for them to appreciate the idea of numerosity. In this paper, we discuss similarities and differences in the ways in which understandings not only of ordinality, cardinality but also…

Visual word recognition is facilitated by the presence of "orthographic neighbors" that mismatch the target word by a single letter substitution. However, researchers typically do not consider "where" neighbors mismatch the target. In light of evidence that some letter positions are more informative than others, we investigate…

Students are typically introduced to probability through calculating simple events like flipping a coin. While these calculations can be done by hand, more complex probabilistic events, both in class and in the real world, require the use of computers. In this paper, we introduce a new tool--an R shiny web app and associated CRAN package based on…

Binary operations are one of the fundamental structures underlying our number and algebraic systems. Yet, researchers have often left their role implicit as they model student understanding of abstract structures. In this paper, we directly analyze students' perceptions of the general binary operation via a two-phase study consisting of task-based…

This study investigated understanding of and misconceptions with fractions in college students enrolled in a remedial mathematics course. Data were collected from 22 college students for one semester. The analysis of 41 fraction problems revealed that participants' common misconceptions were associated with a lack of understanding of basic…

This review covers the core concepts and design decisions of TensorFlow. TensorFlow, originally created by researchers at Google, is the most popular one among the plethora of deep learning libraries. In the field of deep learning, neural networks have achieved tremendous success and gained wide popularity in various areas. This family of models…

As an alternative to Cronbach's [alpha] for estimating scale reliability, McDonald's [omega] has attracted increased attention within the methodological community for its less stringent measurement assumptions. Notwithstanding, [omega] is still seldom used by practitioners, likely due to its unavailability in popular software packages (e.g., SPSS)…

The authors of this article introduce two teaching modules that aim to increase climate literacy and active learning in undergraduate economics courses through the incorporation of real-world data and modeling. These modules are based on the concept of computational guided inquiry (CGI), which combines a guided inquiry approach within a…

This article builds on prior work that aims to measure computational learning (CL) during middle school. Since game computational sophistication (GCS) has been used as a proxy for a student's engagement in CL we build on their model to more completely describe the relationship between different types of building blocks of computer games and GCS.…

This paper proposes a new methodology for estimating teacher value-added. Rather than imposing a normality assumption on unobserved teacher quality (as in the standard empirical Bayes approach), our nonparametric estimator permits the underlying distribution to be estimated directly and in a computationally feasible way. The resulting estimates…

This paper aims at exploring students' experiences when engaging in mathematical problem-solving through computational thinking and programming by a combination of theoretically derived insights and task-based activities. The main method used is a semi-structured interview with two undergraduate students who were presented with a mathematical task…

Computational thinking (CT) is an important 21st-century skill. This paper aims at more useful CT assessment. Available evaluation instruments are reviewed; two generally accepted CT evaluation tools are selected for a comprehensive CT assessment: the CTt, a performance test, and the CTS, a self-assessment instrument. The sample comprises 202 high…

Echoing the increasing emphasis on STEM literacy, computational thinking has become a national priority in K-12 schools. Scholars have acknowledged abstraction as the keystone of computational thinking. To foster K-12 students' computational thinking and STEM literacy, students' ability to think abstractly should be enhanced. However, the existing…

Reintroducing computer science (CS) education in K-12 schools to promote computational thinking (CT) has attracted significant attention among scholars and educators. Among the several essential components included in CS and CT education, program debugging is an indispensable skill. However, debugging teaching has often been overlooked in K-12…

The study aims to investigate the effectiveness of reading and math initiative on the development of language and computational skills among early grades students, from teachers' standpoint. The study sample consisted of 180 male and female teachers of early graders in Amman city, Jordan. To achieve study objectives, researchers used a scale to…