Background/purpose: This research aimed to 1) Compare mathematical problem-solving skills and academic achievement before and after learning the topic of Basic Counting Principles of Grade 11 students who were taught by traditional learning methods and open learning approach. 2) to compare mathematical problem-solving skills and academic…

Two problems, both from Gaspar Nicolas' "Tratado da Prática d'Arismética", published in 1519 are considered in this study. The tasks were carried out using pencil, paper and students from Portuguese schools. The aim was to explore the following students' performances: 1. The students were able to recognize the "error",…

The Cybergogy approach is a teaching and learning methodology that integrates technology and pedagogy to promote critical thinking skills and inventive problem-solving among Technical and Vocational Education and Training (TVET) learners. This approach leverages the affordances of digital technologies such as virtual reality, simulations, and…

This study explored how students develop and demonstrate resilience when prompted with mathematical problems. Anchored on the Three-Dimensional Resilience Theory in Mathematical Problem Solving, a multiple case study was conducted on thirteen (13) purposively selected students from a public senior high school in Davao City, Philippines. The…

Mathematical problem-posing (MPP) offers an alternative to teacher-directed approaches by encouraging students to create and solve their own problems. While MPP is supported by the Australian Curriculum and empirical research has increased over the last decade, implementation in classrooms is still limited. Using The Theory of Practice…

An in-depth analysis of collaborative problem solving (CPS) patterns contributes to understand team dynamics and effective paths to conflict resolution. However, there remains the lack of a perspective in the field of CPS research that organically combines the cognitive, meta-cognitive, and social-communicative dimensions. Moreover, the analysis…

Problem-solving skills are essential in improving the creative, critical, and logical thinking skills needed in mathematics learning and daily life. This study aims to examine the effectiveness of problem-based learning (PBL)- assisted ethnomathematics-based Geocube e-module on problem-solving skills. This quantitative research applied a…

The Programme for the International Assessment of Adult Competencies (PIAAC) of the Organisation for Economic Co-operation and Development (OECD) has transformed international research and policy debates on the assessment of adult skills. Although research using PIAAC data is accumulating, little is known about how these data are used and what…

This study addresses the critical issue of mathematical underperformance among preschoolers in Yopal Casanare, Colombia, through the perspective of an action research project. It focuses on the design and implementation of a didactic unit aimed at promoting numerical thinking, specifically seriation and structured counting, in preschool students.…

The purpose of this study is to investigate students' thinking of direct, inverse and nonproportional problems. Thirty two seventh grade students from three different government schools participated in this study. To collect the data, the participants were asked to solve 9 open-ended problems, including 3 direct, 3 inverse and 3 non-proportional…

Students learn mathematics best when they actively explore problems, connect solution methods, and synthesize ideas at just the right moment. Yet in many classrooms, this balance tips too quickly toward telling students how to solve problems, leaving less room for them to do the real mathematical work. "Teaching Mathematics Through Problem…

Background/purpose: Creative thinking is an essential 21st-century skill in mathematics education, closely connected to logical-mathematical ability. Solving numerical problems requires students to think systematically, flexibly, and deeply beyond technical skills. In this context, the creative thinking process remains underexplored empirically.…

The 2023 Survey of Adult Skills, a product of the OECD Programme for the International Assessment of Adult Competencies (PIAAC), provides a comprehensive overview of adults' literacy, numeracy and adaptive problem-solving skills -- skills that are fundamental for personal, economic and societal development. These key information processing skills…

This study investigated the effectiveness of an instructional model that integrates project-based learning and WebQuests to enhance Chinese undergraduate engineering students' innovation abilities. The model was implemented in an engineering drawing and CAD course with 38 third-year students over one semester. A one-group repeated-measures design…

Background: Attention-Deficit/Hyperactivity Disorder (ADHD) is linked to strengths in creative problem-solving amongst school-aged children and adults. In contrast, autism (which frequently co-occurs with ADHD) is associated with lower generativity, and perseverative responses during problem-solving. Little is known about how ADHD and autism…