Mathematical cognition research has largely emphasized concepts that can be directly perceived or grounded in visuospatial referents. These include concrete number systems like natural numbers, integers, and rational numbers. Here, we investigate how a more abstract number system, the irrationals denoted by radical expressions like the square root…

Our understanding of the cognitive processes involved in reading has been advanced by computational models that simulate those processes (e.g., see Reichle, 2015). Unfortunately, most of these models have been developed to explain the reading of English and other alphabetic languages, with relatively fewer efforts to examine whether or not the…

Efficient visualizations of computational algorithms are important tools for students, educators, and researchers. In this article, we point out an innovative visualization technique for matrix multiplication. This method differs from the standard, formal approach by using block matrices to make computations more visual. We find this method a…

The need to benefit from information technologies in the twenty-first century digital age is increasing in all economies to overcome problems and difficulties and to have desired solutions. So, developing algorithmic thinking has been important as a skill that requires the application of knowledge from different disciplines, especially science,…

This study aimed to investigate senior high school students' computational thinking skills after implementing the Bioinformatics Module on molecular genetics concepts. The instructional approach used in the module is Computational Inquiry-based Teaching (CIbT). This study used a quasi-experiment method with a pretest-posttest control group design.…

This article explores three attributes of teachers' understanding of fraction magnitude: the accuracy and reasonableness of teachers' estimations in response to fraction arithmetic tasks as well as the alignment of the estimation strategies they used with the concept of fraction magnitude. The data were collected from a national sample of…

Using robot programming activities for learning in the classroom is one way to drive interest and engagement in the STEM field among students, especially girls. And this is afield that is particularly characterized by an underrepresentation of women. Accordingly, many countries are increasingly integrating activities related to computer science…

The purpose of this paper is to integrate mathematical modeling and ecology by presenting an activity involving an authentic environmental problem, which is called "Pine Processionary Caterpillars Invasion." Adopting Mathematical Modeling and Education for Climate Action (EfCA) approaches, it was aimed to encourage pre-service teachers…

We examine how elementary STEAM (science, technology, engineering, art, and mathematics) teachers designed and implemented instructional practices to encourage computational thinking (CT) during problem-solving activities. After teachers created STEAM lessons aligned with state standards and CT practices, students made artifacts while solving…

The ability to formulate problems is an important part of computational thinking (CT) development for nurturing creative problem solvers. However, problem formulation is inadequately addressed in primary school education. This study aimed to investigate the problem formulation processes of primary school students. Students from eight winning teams…

This article presents a computational approach to examining immigrant incorporation through shifts in the social "mainstream." Analyzing a historical corpus of American etiquette books, texts from 1922-2017 describing social norms, we identify mainstream shifts related to long-standing groups which once were and may currently still be…

Early interaction is a dynamic, emotional process in which infants influence and are influ­enced by caregivers and peers. This chapter reviews new developments in behavior imag­ing--objective quantification of human action--and computational approaches to the study of early emotional interaction and development. Advances in the automated…

There are many concerns from early childhood educators regarding allowing children to use technology, pointing to the adverse effects of screen time and barriers such as lack of resources. To support advocating CT in early childhood settings using technology, this dissertation proposes solutions and resources for early childhood educators by…

This is a study of student engagement with computational labs in Calculus 2. The labs task students with using MATLAB to investigate contexts such as rocket science, disease modeling, and market economics forecasting by modifying and executing provided code, guided by questions that have students report the results of their simulations or…

In the digital age in which we live, one of the primary goals of education is to nurture individuals who are capable of thinking creatively, solving problems, and being innovative and productive. Computational thinking is an analytical process that requires defining problems and at the same time solving these problems by proceeding in creative…