The objective of this dissertation was to explore the paradoxical nature of Combinatorics as both a difficult and accessible domain in Mathematics, particularly for K-12 students. This paradox in Combinatorics' nature raised questions about how students interact with problems in this domain and the factors influencing their understanding and…

Intro: In this survey the academic performance of primary and secondary school students in Greece, for three consecutive school years, was examined. The data concerned all Greek students of the last two grades of elementary school and the three grades of junior high school. Method: Unsupervised learning methods such as an X-means algorithm in…

We share ideas for preparing for and enacting high-cognitive demand tasks in ways that support students in articulating and justifying their ideas. We offer strategies for developing and posing several types of purposeful questions: (1) eliciting thinking, (2) generating ideas, (3) clarifying explanations, and (4) justifying claims.

Dynamic program visualization tools helps to reduce the cognitive load of students in learning programming. However, to authors' understanding there is no dynamic program visualization tool that can be used in a widely available smartphones. In this study, we design a Dynamic visualization engine for java programs that is integrated to java code…

In response to Canada's growing ethnic, cultural, and linguistic diversity, educators in French immersion classrooms are increasingly responding with enhanced cross-linguistic initiatives, and dual language books are promising resources in the promotion of multilingualism (Zaidi, 2020; Zaidi & Dooley, 2021). This paper details a research…

This study tests a hypothesized learning progression for the concept of energy. It looks at 14 specific ideas under the categories of (i) Energy Forms and Transformations; (ii) Energy Transfer; (iii) Energy Dissipation and Degradation; and (iv) Energy Conservation. It then examines students' growth of understanding within each of these ideas at…

This study tests a hypothesized learning progression for the concept of energy. It looks at 14 specific ideas under the categories of (i) Energy Forms and Transformations; (ii) Energy Transfer; (iii) Energy Dissipation and Degradation; and (iv) Energy Conservation. It then examines students' growth of understanding within each of these ideas at…

The two studies reported on in this paper examine the features of words that distinguish students' performances on vocabulary assessments as a means of understanding what contributes to the ease or difficulty of vocabulary knowledge. The two studies differ in the type of assessment, the types of words that were studied, and the grade levels and…

The worked example effect indicates that examples providing full guidance on how to solve a problem result in better test performance than a problem-solving condition with no guidance. The generation effect occurs when learners generating responses demonstrate better test performance than learners in a presentation condition that provides an…

Energy is a core concept in the teaching of science. Therefore, it is important to know how students' thinking about energy develops so that elementary, middle, and high school students can be appropriately supported in their understanding of energy. This study tests the validity of a proposed theoretical model of students' growth of understanding…

Some students, including students with print disabilities, students with low vision, and English language learners, may benefit from having test content read aloud. However, there have been challenges in standardizing the presentation of test content, including whether or not to read answer choices or to describe maps and cartoons, among many…

Students who are deaf or hard of hearing (Deaf/HH) and communicate using American Sign Language (ASL) may benefit from sign accommodations on state assessments. However, there have been challenges in standardizing assessment content including how items should be signed. Technology enhanced assessment offers the opportunity to provide standardized…

This dissertation introduces the construct of "worthwhileness" as an important aspect of students' "practical" epistemologies of science (Sandoval, 2005). Specifically, it examines how students conceptualize what makes a scientific research question worthwhile, through a close analysis of the criteria they use for…

This article is aimed at evaluating the possibility that Set I of the Advanced Progressive Matrices (APM-Set I) can be employed to assess fluid ability in a short time frame. The APM-Set I was administered to a sample of 1,389 primary and secondary school students. Confirmatory factor analysis attested to the unidimensionality of the scale. Item…

Tables are a presentation format that is commonly used to organize information, and they are widely present in many scenarios of our students' everyday activities; however, there is a scarcity of studies devoted to their analysis. Some of these studies point out that the organization of data into a double-entry table presents difficulties for…