First Language (L1) has been assumed to play a role in Second Language ability (Bachman & Palmer, 1996). However, the interplay between them across skill, task, or scoring criteria is more complex (Hamp-Lyons & Davies, 2008). Using Many-Facets Rasch Measurement, this study investigates the main effects of examinee ability, rater severity,…

This study was carried out in order to determine how the 3rd grade students of the Department of Elementary Mathematics Education structured their "if and only if propositions". The data were obtained by examining the students' answers given to the midterm exam questions and discussing the solutions with the students in the classroom.…

This report describes an activity that helps organic chemistry students to better understand organic molecules as 3-dimensional objects. To accomplish this goal, the activity employs a unique three-way combination of analyzing computer-generated 3-dimensional renditions of open access X-ray crystallography data, building physical 3-dimensional…

Frequency graph types differ in the way how data are translated into visual representations. We compared 2 visualization methods, a traditional circular representation (pie chart) and a rectangular representation (constant column width tree map), which were hypothesized to differ regarding the cognitive ease of visual comparison processes.…

Black students in today's classrooms face major challenges unknown to white teachers. In this article, the authors share instructional practices, mindsets, and reflective questions that teachers can implement, practice, and respond to in order to support Black students to feel safe and welcome in their mathematics classrooms. In doing so, the…

The present study was to explore whether dynamic visualizations enriched with visuospatial cues can optimize learners' cognitive processing of mechanical systems. The animated conditions and cueing patterns were the independent variables with an attempt to investigate their impacts on retention and transfer tests. Either dynamic or static…

This study examined the effects of adjusting the difficulty level of instructional materials on the on-task time and comprehension of four students with emotional and behavioral disorders. All participants previously exhibited low rates of on-task behavior during reading assignments. Students were presented with reading materials at their…

We report on the study of student difficulties regarding a heat engine in the context of a Stirling cycle by the method of measurement. An in-class test about a Stirling engine with a regenerator was taken by three classes, and the students were asked to perform one of the most basic activities--calculate the efficiency of the heat engine. Our…

The present study aims to compare the geometry standards in U.S. Common Core State Standards of Mathematics (CCSSM) and Chinese Compulsory Education Mathematics Curriculum Standards (CMCS) through the lens of van Hiele levels. The study considered a standard unit as one or multiple learning expectation(s) and placed each learning expectation into…

The Hindi consonant inventory, which includes the cross-linguistically rare retroflex place of articulation and four-way laryngeal contrasts, is known to pose difficulties for native English speakers. Hindi language textbooks address this challenge, in part, by providing various articulatory and acoustic descriptions of Hindi consonants, typically…

This study analysed the designs of algebraic problems in elementary mathematics textbooks used in Finland, Indonesia, Malaysia, Singapore, and Taiwan. This study employed a content-analysis method that focused on four dimensions: representational forms, cognitive demand levels (CDLs), contextual features, and types of responses. The result of the…

The efforts shown in recent years related to the reform movements in science education have focused on the assertion that informed nature of science understandings (NOS, hereafter) should be developed. In line with this idea, NOS has become the central component of numerous science curricula. In the study, therefore, it was aimed to determine…

We explore the effect of students' perceived task difficulty on the mathematics self-efficacy -- performance relationship. Specifically, we expand on previous reciprocal effects studies through including students' self-efficacy for different levels of task difficulty in an empirical investigation. We examined students' self-efficacy for easy,…

The purposes of the research were to: (1) create a scientific creativity measure for high school students; (2) examine the quality of the science creativity scale of the created test; (3) establish a benchmark for scientific creativity scores for high school students; and (4) study a scientific creativity level of students in the senior high…

Assessing students on-the-fly is an important but challenging task for teachers. In initial teacher education, a call has been made to better prepare pre-service teachers for this complex task. Advances in technology allow this training to be done through authentic learning environments, such as video-based simulations. To understand the learning…