The research aimed to analyze the students' abilities in solving realistic mathematics problems using "What-If"-Ethnomathematics Instruments with content focused on plane and space materials. The "What-If"-Ethnomathematics instruments are instruments that enable educators to analyze various errors and obstacles experienced by…

The quality of teaching mathematics and science depends on the teachers' competencies about instant feedback to mistakes. Instant feedback is some kind of feedback used whenever a mistake occurs. Mistakes are a starting point for learning; a chance to construct new knowledge or describe the misconceptions. Therefore studies on mistakes and instant…

We used a sequential synthesis problem to investigate novice teachers' conceptual difficulties in hydrodynamics. Twenty-one new secondary level physics teachers from various regions of China, who had been in service for no more than 2 years, participated in the study. Each participant completed a written hydrodynamics problem consisting of four…

The present research investigated the possibility to foster positive classroom climate, achievement emotions, and adaptive beliefs about errors by manipulating teachers' error handling strategies. Through a pre-post experimental design, teachers' error handling strategies were manipulated during a fictitious lesson in the primary school context.…

The English language pronunciation is a sub-skill of speaking modules during the learning process of a second language. Accurate pronunciation is not followed enough by Bangladesh students in speaking English It was found that the participants face barriers while pronouncing English. However, it is ignored and even provided the least attention by…

Purpose: This study aimed to examine elementary school students' critical thinking skills and their impact. Methodology: This research was a qualitative case study. The subjects of this study were 29 fifth-grade students and three teachers at an elementary school, chosen by a purposive sampling technique. Data were collected through observation,…

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.