Quadratic equations are a notorious topic for the challenge it provides to students in secondary mathematics. Despite this, there is limited research, particularly in the Australian context, that explains why such challenges persist. This article details the causes of Year 11 students' difficulties in solving quadratic equations. Observing…

Euclidean geometry provides an opportunity for learners to learn argumentation and develop inductive and deductive reasoning. Despite the significance of Euclidean geometry for developing these skills, learner performance in mathematics, particularly geometry, remains a concern in many countries. Thus, the current study examined the nature of…

We discuss the limits of the equation of the period of a simple pendulum, T[subscript s] = 2[pi][square root]l/g, frequently used in high-school and university classrooms to measure the acceleration of gravity. We evaluate the relative error in determining the acceleration of gravity with this simple equation instead of a more realistic one,…

Errors are natural elements of the learning process and provide a high potential to promote students' learning outcomes. In recent years, there has been much research about learning from errors. However, we know little about the relationship between students' error beliefs in chemistry and chemistry learning outcomes at present. Thus, the aim of…

The current study expands on previous research on gender differences and similarities in science test scores. Using three different approaches -- differential item functioning, differential distractor functioning, and decision tree analysis -- we examine a high school science assessment administered to 3,849 10th-12th graders, of whom 2,021 are…

The influence of augmented feedback and self-estimation of errors on the welding skill learning of vocational high school students was the focus of this study. A quasi-experimental research design was utilized by randomly assigning two classes of car repair students to an experimental group and a control group. Each participant had 9 practice…

We report on an innovative design of algorithmic analysis that supports automatic online assessment of students' exploration of geometry propositions in a dynamic geometry environment. We hypothesized that difficulties with and misuse of terms or logic in conjectures are rooted in the early exploration stages of inquiry. We developed a generic…

Despite statistics learning becoming more important during this information explosion era, many students still deem the subject complex and challenging. Measures of dispersion, a critical component of statistical knowledge that students often struggle with, have received little attention in research on statistics education. The goal of this study…

Constructing formal geometry proofs in is an important topic in the mathematics curriculum. But students' difficulties with proof are well documented. This article focuses on proofs that use triangle congruence postulates in US high school geometry. Examining students' proof reasoning in one-on-one task-based interviews, we analyzed students' oral…

The current study investigated the associations among trait perfectionism, worry about mistakes, mistake rumination, L2 anxiety, and willingness to communicate in adolescents. A key element was examining the psychometric properties of a new measure of worry about mistakes as well as the Mistake Rumination Scale and the short Child-Adolescent…

We report the results of a study on high school student difficulties in drawing the magnetic field lines for two magnets facing each other. Student difficulties were investigated by means of a predict-observe-explain activity. Our data confirm some of the previous results from the educational research literature on student difficulties in drawing…

This study targets to 1) describe students' mathematical reasoning skills in terms of guardian personality type; 2) knowing the causes of student mistakes in answering questions. This type of study is descriptive qualitative. The subjects in this study were students of class XI MIPA four Wanasaba 1 Senior High School in East Lombok in the…

This study explores using transfer learning in machine learning for natural language processing (NLP) to create generic automated essay scoring (AES) models, providing instant online scoring for statewide writing assessments in K-12 education. The goal is to develop an instant online scorer that is generalizable to any prompt, addressing the…

This study is the extension of our previous visualizing study on the commognition processes in computer-supported one-to-one tutoring. With the help of the scale of commognitive responsibility score, we found that the main triggers of the commognition process shift are the positive transfer of knowledge and cognitive conflict. On the basis of…

This study explores what young Danish learners found anxiety-provoking or difficult in their English as a foreign language (EFL) classes. Participants (n = 32) were early and later starters (ages 8 years vs. 10 years) at two primary schools where children were not assessed in English. The qualitative inquiry aimed to examine what differences…