For integrals consisting of rational functions of sine and cosine a set of little known rules known as the Bioche rules are considered. The rules, which consist of testing the differential form of the integral for invariance under one of three simple substitutions x [right arrow] -- x, [pi] -- x, and [pi] + x, allow one to decide which of the…

Discrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of mathematical modelling and the accompanying discussion are currently under-researched. In this paper, we…

The ability to properly evaluate one's own academic progress has long been considered a predictor of academic success. However, its distinctive role in the context of computational mathematics remains underexplored. Grounded in social cognitive theory, this study investigates the critical role of self-regulated learning (SRL) strategies in…

Algebra has been identified as a gatekeeper to careers in STEM, but little research exists on how algebra appears for practitioners in the workplace. Surveys and interviews were conducted with 77 STEM practitioners from a variety of fields, examining how they reported using algebraic functions in their work. Survey and interview reports suggest…

Word problems are a question type commonly seen in math tests and exams. Since word problems are an integral part in teaching and learning of mathematics in schools, understanding what factors that would affect students' ability to solve math word problems may help students understand where their weaknesses lie and help teachers adopt effective…

Students' effort and emotions are important contributors to math learning. In a recent study evaluating the efficacy of MathSpring, a scalable web-based intelligent tutoring system that provides students with personalized math problems and affective support, system usage data were collected for 804 U.S. 10-12-year-olds. To understand the patterns…

The learning of mathematics generally undergoes a less effective and less appealing learning process, resulting in students' perceived lack of mastery of the material. Consequently, students' insufficient understanding of the concepts leads to a lack of folding back. In the process of understanding, it influences individual characteristics, where…

The transition from kindergarten to the first grade of elementary school is a crucial developmental period that can significantly influence pupils' academic trajectories. This study aimed to examine whether adaptation to the school environment moderates the relationship between skill-specific performance and academic achievement in two core…

Background/purpose: Rapid developments in educational technology have led to the emergence of educational robots that serve as interactive tools aimed at enhancing active learning and stimulating students' thinking and problem-solving skills. The study aimed to evaluate teachers' perspectives on the use of educational robots in teaching…

Laplace transform (LT) is an essential mathematical tool for solving linear ordinary differential equations (ODE) with boundary values, by transforming differential equation into algebraic equations which are easier to manipulate. In this article, we analyse the errors students make and misconceptions they have in solving linear ODE using LT…

Many questions have been asked about how to teach math, how to get students to like math, how to engage students in math and how to increase math scores. Metacognition and Self-Regulated Learning (SRL) have an impact on mathematics achievement in middle school students. In this quantitative study, the Self-Reflection Questionnaire, MKMQ was used…

This study aims at describing students' difficulties in solving mathematical literacy problem level 3, level 4 and level 5. Qualitative research was used in this study. Participants of the research were 10 tenth-grade students randomly selected from a senior high school. The research was conducted at Senior High School 1 North Bengkulu. Data…

Problem-solving process requires information processing, and the information processing is related to working memory capacity (WMC). This study aims to determine the effect of WMC on students' mathematical abilities and to describe the ability of the students with high and low WMC in solving mathematical problems. This research used mixed method…

Imbalances in problem distributions in math textbooks have been hypothesized to influence students' performance. This hypothesis, however, rests on the assumption that textbook problems are representative of the problems that students encounter in classroom assignments. This assumption might not be true, because teachers do not present all…

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…