In this article we present the results of an investigation into semiotic aspects of an introductory differential equations class from two countries. In order to perform a comparative analysis, students in the USA and Tunisia were given common questions on their midterm exams that examined analytical and graphical competencies. Our results indicate…

Responding to student errors is a complex practice that connects teachers' vision and goals around students, mathematics, and teaching. We explore teacher candidates' (TCs) reflections on responding to errors during rehearsals of whole-class discussion to gain insight into the vision and goals that might influence their thinking. We discuss five…

Spelling poses a challenge to Arabic-speaking learners due to the complexity of the morphological and orthographic systems in Arabic. Arabic morphology has been argued to play a critical role in spelling since its morphological operations are built on a system consisting of a root that is interlocking into different patterns of vowels to form…

During the last two years, the COVID-19 pandemic had a secondary effect of increased media content loaded with mathematical, often probabilistic information (and misinformation). Our exploratory study investigates the probabilistic intuitions, misconceptions, biases, and fallacies in conditional probability reasoning of mathematics teacher…

Recent context-control learning studies have shown that switch costs are reduced in a particular context predicting a high probability of switching as compared to another context predicting a low probability of switching. These context-specific switch probability effects suggest that control of task sets, through experience, can become associated…

This study aims to investigate Vietnamese students' perceptions of portfolio assessment and how it affects their writing performance. Furthermore, the study explores problems encountered during the assessment process, which could offer professional support for teachers, particularly novice teachers, when applying this formative assessment to…

Background: According to Munsat (1965, The concept of memory. University of Michigan), a person who makes frequent prospective memory (PM) errors is considered as having a flawed character rather than a bad memory. Given that PM completes its development only in young adulthood, this bias might occur not only within social relationships but also…

When acquiring a second language, learners must become able to perceive the difference between novel sounds ("discrimination") and also associate strings of sounds with distinct vocabulary items ("lexical encoding"). Recent research has questioned whether discrimination is a sufficient or necessary condition for encoding, and…

Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.

Lipreaders recognize words with phonetically impoverished stimuli, an ability that varies widely in normal-hearing adults. Lipreading accuracy for sentence stimuli was modeled with data from 339 normal-hearing adults. Models used measures of phonemic perceptual errors, insertion of text that was not in the stimulus, gender, and auditory speech…

In an article in this journal, it was shown that air resistance could never be a significant source of error in typical free-fall experiments in introductory physics laboratories. Since projectile motion is the two-dimensional version of the free-fall experiment and usually follows the former experiment in such laboratories, it seemed natural to…

The mathematics performance of students identified with emotional and behavioral disorders (EBD) is poor. Students identified with EBD require individualized instruction aligned with their unique academic and behavioral needs. One way that teachers can efficiently identify core mathematics deficits and provide individualized instruction is through…

Spelling is a key transcription skill for writing. While little is understood about the particular challenges some students experience when learning to spell, explicit instruction is known to improve spelling performance. The study reported in this article draws on eight case studies from a larger Australian mixed-methods study examining spelling…

Although the field of educational neuroscience has grown in recent years, little research has been conducted on conceptual change and science learning through an educational neuroscience framework. Educational neuroscience is frequently used to study processes of language and mathematics cognition, but is not extensively applied to conceptual…

For abstract concepts to be well understood, students need to be familiar with the concepts and able to associate them correctly. Students cannot make scientific explanations on the subject unless they can establish relationships. This study aimed to determine the understanding level of 11th-grade high school students on "gases" in terms…