This research addressed Hungarian pre-service and in-service (both elementary and lower secondary) teachers' pedagogical content knowledge concerning the teaching of word problem solving strategies. By means of a standardized interview protocol, participants (N = 30) were asked about their judgement on the difficulty of teaching word problems, the…

Games are an everyday part of most students' lives. Games engage students and provide opportunities to foster perseverance in problem solving. When implemented in the mathematics classroom, game-based learning can have similar positive benefits. Students can enjoy mathematics and develop important life skills that will help them in their current…

A central factor in research guided by the Cognitive Load Theory (CLT) is the mental effort people invest in performing a task. Mental effort is commonly assessed by asking people to report their effort throughout performing, learning, or problem-solving tasks. Although this measurement is considered reliable and valid in CLT research,…

Inquiry-based learning has been growing in popularity, but the ill-structured nature of complex problem-solving still has challenges related to how to ensure students learn the content and how to provide feedback. This paper addresses this gap by exploring how open microcredentials can support open-ended learning by providing…

Students' creative process in mathematics is increasingly gaining significance in mathematics education research. Researchers often use Multiple Solution Tasks (MSTs) to foster and evaluate students' mathematical creativity. Yet, research so far predominantly had a product-view and focused on solutions rather than the process leading to creative…

Research suggests some sequences of examples and problems (i.e., EE, EP) are more effective (higher test performance) and efficient (attained with equal/less mental effort) than others (PP, sometimes also PE). Recent findings suggest this is due to motivational variables (i.e., self-efficacy), but did not test this during the training phase.…

We address the aims of this Special Issue by exploring, critiquing, and responding constructively to the emergence and potential significance of new materialist thought in environmental education research and the broader theoretical landscape in which such research is situated. We offer some productive possibilities for advancing postparadigmatic…

Background: Traditional math instruction that emphasizes procedures and rote memorization is common in math classes, particularly within the United States. Students may be able to perform steps and recite information, but flexible thinking in math is also an important ability. Lay theories assume that extensive experience in math would lead to…

Ill-structured problem solving is widely believed to promote learning in higher education but its multiplicity (i.e. multiple solutions and evaluation criteria) is often seen as a challenge to manage. This study shows that the multiplicity can be managed as well as leveraged to enhance learning effectiveness through online co-creation. Three…

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

We analyzed the solution pathways and errors found in the written responses of 469 prospective teachers solving an equation containing fractions. The majority (332, or 70%) used an algebraic method; 141 of the 332 (42%) were correct, and 22% of the algebraic methods were abandoned before a solution was obtained. We identified the steps in the…

In case library learning, an instructional method that promotes case-based problem solving, learners often struggle with indexing cases. Poor case indexing may hamper retention and retrieval of cases, hindering the construction of mental libraries in learners. To address this issue, the authors developed two indexing prompt types,…

Igniting excitement for physics in our students is a goal of every instructor. In this paper, we discuss a unique example of the concept of density, a subject that is rarely viewed as intriguing by students. By combining a problem involving dinosaurs and an effective density, our students' interest is often captured through calculating an…

This descriptive, cross-sectional study aims to examine the mediator role of problem-solving skills in the relationship between communication skills and classroom management. The participants were 431 randomly-sampled pre-service teachers who were studying at a university in the central Anatolia region of Turkey. The study data were collected via…

The purpose of this research is to classify the mathematical modelling problems produced by pre-service mathematics teachers in terms of the number of variables and to determine the mathematical modelling skills and mathematical skills used in solving the problems in each class. The current study is a qualitative research and the data was analyzed…