Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…

This paper identifies the need for a pedagogical re-orientation in UK higher education to prepare graduates to overcome wicked problems. In addition to key knowledge sets, graduates need attributes of critical self-reflection, risk-awareness and management, collaboration, creativity, agility, reflexivity - enabling the ability to manage the…

Colleges and universities have implemented a broad range of initiatives to support student success. Problem solving courses and course supplements are one approach. Evaluation of these courses has shown positive outcomes in terms of improved academic performance and other benefits. A number of these studies have also reported the largest positive…

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…

Since 2019, the European Union has encouraged the establishment of 'new' university alliances, that is transnational strategic groupings involving more than three hundred higher education institutions in the European Union and associated partner countries. This paper treats the European Universities Initiative (EUI) as an instance of a…

Despite continued efforts to address this issue, many students still exhibit misunderstandings regarding Newton's laws. These misconceptions include beliefs, such as every movement requires a force, that force is directly proportional to velocity, and that action-reaction forces can differ in magnitude. To mitigate these misunderstandings,…

This study was developed in the scope of the Poly-Universe in Teacher Training Education project and explores how to promote interdisciplinary and STEAM approaches in teacher education with Poly-Universe, a game based on materials of different geometric shapes and different colours, that obey certain characteristics that allow for various…

Cognitive-achievement relations research suggests that cognitive abilities are instrumental for academic skill development. This study examined cognitive-achievement relations with the newly revised Woodcock-Johnson V (WJ V) standardization sample across the lifespan (ages 6-90+) for reading, writing, and mathematics using multi-group structural…

Mathematical word problems, sometimes called story problems, are generally defined as "verbal descriptions of problem situations, presented within a scholastic setting, wherein one or more questions are raised the answer to which can be obtained by the application of mathematical operations to numerical data available in the problem statement…

Contribution: Two general rules for calculating, in the time domain, step discontinuities of voltages and currents in electric circuits, combining physical principles and basic mathematical treatment. The two general rules, resulting from a formal method of analysis, provide a straightforward way to update the states of a circuit, immediately…

Even though agent-based modelling is seen as committing to a mechanistic, generative type of causation, the methodology allows for representing many other types of causal explanations. Agent-based models are capable of "integrating" diverse causal relationships into coherent causal mechanisms. They mirror the crucial, multi-level…

Mathematical modeling and applications are an important part of curriculum and considered to be important for students' current and future lives. In this contribution, we focus on mathematical modeling from a cognitive prospective. Following embedding the cognitive perspective within the discourse of mathematical modeling, we describe some of the…

A discussion forum is an indispensable part of a massive open online course (MOOC) environment as it enables knowledge construction through learner-to-learner interaction such as discussion of solutions to assigned problems among learners. In this paper, a machine prediction model is built based on the data from the MOOC forum and the depth of…

The use of the algebraic method for solving word problems is a challenging topic for secondary school students. Students' difficulties are usually associated with extracting the problem's network of relationships between quantities and with formalizing these relationships into algebraic language in a problem model. Both sources can coexist and…

In this study, we examined one experienced mathematician's class practices, with particular attention to cognitive model described in genetic decomposition. Our findings indicate that students only had limited opportunities to be familiar with the first three steps in genetic decomposition, which may potentially lead students to answer limit tasks…