This study aimed to determine the effect of learning with reversible problem-solving approach on prospective-math-teacher students' reversible thinking. Using experimental research design, the study involved 65 prospective math teacher students as respondents (35 experimental, 30 control). Experimental class implemented a learning with reversible…

We present an algorithm for solving the time-dependent Schrödinger equation that is based on the finite-difference expression of the kinetic energy operator. Students who have some knowledge of linear algebra can understand the theory used to derive the algorithm. This is because the finite-difference kinetic energy matrix and the Hückel matrix…

The concept of determinant plays a central role in many linear algebra concepts and is also applied to other branches of mathematics and science. In this study, we focus on the application of determinant and inverse matrix concepts, in solving systems of equations by a group of 116 in-service mathematics teachers who were studying the topic at a…

The Programme for the International Assessment of Adult Competencies (PIAAC) assesses key skills in literacy, numeracy and problem-solving in technology-rich environments, as well as their relationship to other social outcomes for adults. PIAAC's developers claimed to better account for adults' literacy practices than earlier international studies…

In this digital ITEMS module, Dr. Jacqueline Leighton and Dr. Blair Lehman review differences between think-aloud interviews to measure problem-solving processes and cognitive labs to measure comprehension processes. Learners are introduced to historical, theoretical, and procedural differences between these methods and how to use and analyze…

High attrition and dropout rates are common in introductory programming courses. One of the reasons students drop out is loss of motivation due to the lack of feedback and proper assessment of their progress. Hence, a process-oriented approach is needed in assessing programming progress, which entails examining and measuring students' compilation…

Through reflection, learning experiences that students most-frequently valued during open-ended, scaffolded problem solving in a bioengineering two-course sequence were identified in this study. Reflective knowledge of this type can inform instructors in orchestrating experiences to scaffold problem solving of this kind and were useful in directly…

Objectives: Routine cancer screening is widely recognized as an effective preventive strategy to reduce cancer mortality -- the second leading cause of death in the U.S. However, cancer screening requires a complex array of tasks such as seeking up-to-date guidelines, making appointments, planning hospital visits, and communicating with health…

This study aims to describe how subjects construct explicit warrant derived from implicit warrant when completing mathematical proof. This research was conducted on seventeen students of mathematics education study programs by providing tests on vector material in elementary linear algebra courses. The test results show that there are four…

This paper aims at exploring students' experiences when engaging in mathematical problem-solving through computational thinking and programming by a combination of theoretically derived insights and task-based activities. The main method used is a semi-structured interview with two undergraduate students who were presented with a mathematical task…

The purpose of this study was to determine the effects of a simulation with worked examples on the creation of episodic memories and the troubleshooting ability of maintenance technician students. Previous research shows that domain knowledge, conceptual knowledge, strategic knowledge, and episodic memories are all required to successfully…

The phenomenon of teachers designing their own instructional materials is gaining more attention in research. Different aspects of this enterprise have been examined--its potential to reveal the complexity of teachers' instructional planning considerations, the design principles employed by teachers to realise instructional goals, among others. In…

According to previous studies, traditional laboratory safety courses are delivered in a classroom setting where the instructor teaches and the students listen and read the course materials passively. The course content is also uninspiring and dull. Additionally, the teaching period is spread out, which adds to the instructor's workload. As a…

School engagement in adolescence is often associated with better academic performance at school, but what are the longitudinal associations between school engagement and adult educational and employment status? The current study explored these longitudinal associations using data spanning 40-years of life, from the 1970 British Cohort Study.…

This article presents the analysis and discussion of solving geometry tasks by Portuguese Basic Education students, using material from the Poly-UNiverse in Teacher Training Education (PUNTE) project. The teaching experience developed was aimed at testing and disseminating new resources, and innovative and transdisciplinary methodologies in the…