The main purpose of this research is to examine the informal strategies of fifth and sixth grade students while solving inverse proportional word problems. Multiple case study was used in this study. The research was carried out in a public middle school from a southern city of Türkiye. The participants of the research consist of three fifth and…

Background/purpose: Learning mathematics often presents challenges for students, particularly in problem-solving and establishing mathematical connections. Self-regulated learning allows students to direct, adjust, and control their learning processes. This approach is essential in encouraging students to manage their learning strategies…

Linear functions are an essential part of school and university education. Nevertheless, this topic is challenging for many students--especially in STEM topics. In this article, we contribute to the understanding of learning difficulties in the context of mathematical and physical problems. Here, we present the results of an eye-tracking study on…

Contemporary literature in engineering education calls for focused efforts towards revitalizing the curriculum, pedagogic practice, and assessments. Creating multidisciplinary, experiential learning opportunities through a biomimicry module offers authentic and situated experiences for designing sustainable solutions inspired by and in harmony…

The purpose of this study was to investigate what factors third-grade students took into consideration when posing problems for their peers and how these factors affected the mathematical complexities of the problems. Free and semi-structured problem-posing tasks were given to 27 third-grade students, and the problems they created for their peers…

This qualitative case study aimed at describing the level of students' metacognition in problem-solving using problem stories in the materials of the linear equation system of two variables of VIII class at MTs N 1 Pesawaran Lampung. The participants of the study comprised three students in VIII class of MTs N 1 Pesawaran Lampung in 2019-2020…

There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…

Using Balacheff's (2013) model of conceptions, we inferred potential conceptions in three examples presented in the spanning sets section of an interactive linear algebra textbook. An analysis of student responses to two similar reading questions revealed additional strategies that students used to decide whether a vector was in the spanning set…

Intelligent tutoring system (ITS) provides learners with step-by-step problem-solving support through scaffolding. Most ITSs have been developed in the USA and incorporate American instructional strategies. How do non-American students perceive and use ITS with different native problem-solving strategies? The present study compares Stoich Tutor,…

In this paper we present a novel adaptation of a tri-phase assessment tool, originally devised to investigate students' linear equations-related strategy flexibility, to evaluate Danish grade-six students' multidigit arithmetic-related strategy adaptivity and flexibility. Participants, 731 students, median age 12 years and drawn from 20…

The flipped classroom (FC) and case-based learning (CBL) are recognized as effective instructional models that emphasize the development of problem-solving ability. However, the implementation of FC combined with CBL has not been well explored. This study aims to investigate the effect of FC combined with CBL on students' problem solving by…

In this paper, the multidigit arithmetic-related strategy adaptivity, strategy flexibility and solution accuracy of Danish compulsory school students is examined. Participants, 749 grade three, 731 grade six and 818 grade eight, were drawn from twenty demographically different schools. Drawing on a tri-phase assessment tool, each student completed…

Fractions are a fundamental component of the school mathematics curriculum, and most students achieve proficiency in these concepts during their elementary education. However, a significant proportion of students still encounter challenges in this area even after entering secondary education, necessitating additional support to prevent further…

Although part of their use is intended for leisure, social networks could be a useful tool for developing students' critical thinking. Nevertheless, this relationship could also be influenced by our competence in learning to learn, that is to say, our knowledge, skills, and attitudes associated with self-regulation, metacognition, use of learning…

Ethiopia's education system has undergone numerous reforms to produce competent citizens capable of tackling real-world challenges. This study investigates the effects of a designed problem-solving method with metacognitive scaffolding in enhancing students' academic motivation and achievement. The study employed design-based research and…