This study aims to address students' low mathematical problem-solving skills and self-regulated learning by developing website-based mathematics learning media using the problem-based learning model. Learning that integrates website-based media allows for more independent learning activities in solving mathematical problems. This study uses the ADDIE model to test the validity, practicality, and effectiveness of the product. Website-based media met the validity criteria based on expert assessments with an average score of 137 from subject matter experts and 78.5 from media experts, and the research instruments were declared valid with an Aiken index ranging from 0.9 to 0.99. Website-based media meet the criteria for practicality based on an average teacher assessment of 90.5, an average student assessment of 50.1, and a learning implementation rate of 93%. Website-based media are proven to be effective through four indicators: (1) students who pass exceed the threshold of 80%. (2) One sample t-test results p-value <.05 and t-value >1.69, so that H_0 is rejected. This proves that website-based mathematics learning media are effective in improving students' mathematical problem-solving skills and self-regulated learning. (3) The results of the paired sample t-test show p-value <.05 and t-value >1.69, so that H_0 is rejected. This proves that there is a significant improvement in students' mathematical problem-solving and self-regulated learning abilities after using website-based mathematical learning media. This study is able to facilitate students' problem-solving and self-regulated learning abilities simultaneously in mathematics education.

Entrepreneurship education in higher education requires strategies that connect theory with practice. Although Project-Based Learning (PBL) is widely used, less is known about the educational value of interactive guides that support students throughout business-plan development. This study examined a Genially-based instructional guide, supplemented with YouTube multimedia, within a PBL intervention in the Business Innovation and Creativity course at Universidad Veracruzana. A quantitatively driven embedded mixed-methods, one-group pre–post design was used with 28 undergraduate students. Data came from course assessment records and pre- and post-intervention questionnaires. Quantitative analysis compared group-level response patterns across 23 conceptually aligned dichotomous items on self-reported entrepreneurship and business-planning knowledge, while open-ended responses explored students’ perceptions of the learning experience. Descriptive statistics and thematic analysis were conducted, and both strands were integrated during interpretation. Post-intervention affirmative-response percentages were higher for several conceptually aligned topics, although the response patterns varied across items and the anonymous responses could not be matched at the individual level. Students also rated the guide as highly useful (M = 9.81/10) and described it as providing organization, clarity, and step-by-step support. These findings suggest that the guide had potential educational value as a pedagogical scaffold in this course. However, because the study used a small, one-group design without linked responses or a comparison group, the results should be interpreted as context-specific descriptive evidence rather than as proof of causal effects on entrepreneurial competencies.

Purpose: This study examined the influence of metacognitive awareness, epistemological beliefs, and mathematical resilience on university students’ perceived mathematical problem-solving ability and explored the cognitive and affective processes students employ when solving mathematical problems. Design/methodology/approach: An explanatory mixed-methods design was employed. Quantitative data were collected from 350 undergraduate Mathematics Education students at a public university in Ghana using a structured questionnaire and analyzed using exploratory factor analysis, confirmatory factor analysis, and structural equation modeling. Qualitative data were obtained from 10 purposively selected students and analysed thematically to provide further insight into students’ problem-solving processes. Findings: Metacognitive awareness (β = .247, p < .001) and epistemological beliefs (β = .273, p < .001) significantly predicted perceived mathematical problem-solving ability, whereas mathematical resilience did not significantly predict perceived mathematical problem-solving ability (β = .105, p = .163). The qualitative findings indicated that students engaged in problem interpretation and strategy planning, monitoring and evaluation, persistence and strategy adjustment, and experienced varied emotional responses during problem solving. Practical implications: Mathematics instruction should incorporate activities that strengthen students’ metacognitive regulation and productive epistemological beliefs while developing resilience alongside mathematical knowledge and problem-solving strategies. Originality/value: The study combines structural evidence on cognitive and epistemological predictors of mathematical problem-solving with qualitative accounts of students’ cognitive and affective experiences, providing a more comprehensive account of problem-solving among university mathematics education students.