Background and Context: Valid assessment of understanding of programming concepts in primary school children is essential to implement and improve programming education. Objective: We developed and validated the Computerized Adaptive Programming Concepts Test (CAPCT) with a novel application of Item Response Theory. The CAPCT is a web-based and…

Educational software applications (apps) on multi-touch, mobile devices provide a promising space to help learners work toward long-term educational goals, like learning with understanding (Bransford, Brown, & Cocking, 2000). Such goals are particularly relevant in supporting a learner's efforts to become more mathematically literate. Yet, a…

Background/purpose: Teaching practice is an essential and integral part of preservice teacher training. In this study, we investigated its role in guiding and supporting student work, and whether or not it contributed to their successful completion of a teacher education program. Materials/methods: Evaluation was conducted by preservice teachers,…

Preservice elementary teachers often struggle with prime decomposition and other mathematical topics that correlate with number theory. This paper provides a framework for integrating prime factor tiles into their curriculum with a particular emphasis on prime decomposition. Using this framework, preservice teachers explored and evaluated numbers…

This literature review examines the models, theories, and research in mathematics education that are informed by Lee S. Shulman's construct, Pedagogical Content Knowledge. The application of the concept differs in nature and volume across levels of schooling. The research includes substantial work at the elementary level, fewer studies at the…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…

The availability of sophisticated computer programs such as "Wolfram Alpha" has made many problems found in the secondary mathematics curriculum somewhat obsolete for they can be easily solved by the software. Against this background, an interplay between the power of a modern tool of technology and educational constraints it presents is…

Increasing and compelling research demonstrates the affordances of personal video footage as an informative and transformational tool in teacher professional learning (PL), yet many in-service teachers avoid engaging in this practice. This Australian Research Council funded study tracked teacher willingness to use video to capture the application…

In this study, using ADDIE instructional design model, it is aimed to prepare English language educational material for 4th grade primary students to teach them numbers. At the same time, ARCS model of motivation's attention, relevance and satisfaction phases are also taken into consideration. This study also comprises of Design Based Research…

Numerous diagnostic studies have been conducted on large-scale assessments to illustrate the students' mastery profile in the areas of math and reading; however, for science a limited number of investigations are reported. This study investigated Iranian eighth graders' competency mastery of science and examined the utility of the General…

This article shows the application of Item Response Theory (IRT) for educational evaluation using games. The article proposes a computational model to create user profiles, called Psychometric Profile Generator (PPG). PPG uses the IRT mathematical model for exploring the levels of skills and behaviors in the form of items and/or stimuli. The model…

This study investigates the inclusion and expansion of multimodal research in academic and dissertation writing, exploring how to overcome the challenges and obstacles encountered in the creation of multimodal doctoral dissertations in the field of education. The work starts by looking at multimodality in education in general -- trying to…

This qualitative, grounded theory study investigated teacher perspectives on the relationship between executive function and reading aptitude. The influence of executive function may be underestimated in terms of its impact on reading aptitude, which could have significant implications on how reading aptitude is currently defined. The foundational…

The scholarly application of representative bureaucracy (RB) theories to research on public school systems has explored the connections between the race of teachers and administrators to policy outputs and student outcomes, suggesting own-race effects between teachers and students positively impact student outcomes accepted as susceptible to…

This note develops and implements the theory of polynomial asymptotes to (graphs of) rational functions, as a generalization of the classical topics of horizontal asymptotes and oblique/slant asymptotes. Applications are given to hyperbolic asymptotes. Prerequisites include the division algorithm for polynomials with coefficients in the field of…