Critical thinking and problem-solving skills (CTPS) are essential for learners in the 21st century. However, designing CTPS lessons and activities for teaching students involves different aspects of interdisciplinary research. To tackle this, researchers need to understand a holistic picture of CTPS research to identify trends, theories, and research gaps that appeared in the literature. This study aims to explore the development of the CTPS research field and to analyze the research on critical thinking and problem-solving skills from Web of Sciences data collection. A total of 8,290 publications from 2001 to 2022 were collected and analyzed using bibliometrics and network visualization. The publications were analyzed in terms of research publication trends, topic clusters and themes, and authorship patterns. Findings indicate that researchers in various fields have involved in CTPS educational research. The major research topics include critical thinking, productive failure, and scaffolding (instructional techniques). The most productive and influential scholar is Alan H. Schoenfeld, an expert in learning to think mathematically (problem-solving). This paper provides a holistic picture of the CTPS in educational research and offers frameworks for researchers involving in the field.