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…

Using the PIAAC data, we show how exposure to various dimensions of nonformal and informal learning relates to the problem-solving capacity in a technology-rich environment for working adults. The sample included permanent staff from various economic sectors, self-employed individuals, and casual employees doing fixed-term contracts (n = 1248)…

Special Education teachers serve students who are struggling in mathematics and continue to fall further behind each year. Educators are faced with the challenge of selecting the most effective program for assessing and teaching mathematics that will promote mathematics achievement for students who are served in resource settings. The KeyMath-3…

Teacher knowledge is one of the main factors in the quality of mathematics learning. Many mathematics teachers have difficulty using proportional reasoning. Proportional reasoning is one of the essential aspects of the middle school mathematics curriculum to develop students' mathematical thinking. Teachers should realize that developing…

School consultants often use problem-solving consultation when working with educators and caregivers to support the behavioral and academic outcomes of students. Considering some of the well-known limitations to in-person service delivery, consultants have increasingly relied on telecommunications as a medium through which to deliver…

Engagement in complex, challenging and multifaceted model-eliciting activities is considered helpful for preparing learners for everyday life. The current study seeks to trace the evolution of modelling routines during two model-eliciting activities. To identify how these routines emerged and evolved, we video-recorded a group of five prospective…

Purpose: Second and foreign language (SL/FL) teachers' informal problem-solving has received little explicit research attention while it is widely acknowledged that problem-solving is crucial to expertise development in any complex knowledge domain. To develop a clearer understanding of the role of informal problem-solving in SL/FL teachers'…

The current study examined children's spontaneous private speech during the vertical and the horizontal Tube Task to shed light on the cognitive, motivational, and emotional processes underlying tool innovation. Tool innovation is defined as solving a novel problem by using or modifying objects in a new and useful way without prior instructions.…

Algebraic Thinking Skills (ATS) are one of the skills that students need to master in order to solve nonroutine problems. These skills are also necessary as a foundation for students preparing to enter university studies and fields of work that require logical and analytical thinking. However, Malaysian students' performance in solving algebraic…