Modern curricula in the natural sciences stress the importance of the development of intellectual skills in the domain of critical thinking. Since such curricula are laboratory/enquiry orientated, the development of certain thought-habits should be seen both as a prerequisite and as an outcome of science-teaching. Teachers' skills in this respect are usually taken for granted. Recent studies throw some doubts on such assumptions. In the study reported here, pupil-, student-and teacher-samples in Australia, South Africa and Israel responded to a test involving eight categories of logical fallacies relevant to science-education. The results showed that the great majority of pupils in upper secondary schools either committed the logical fallacies, or simply ignored the logical structure of the test-situations. The results obtained by post-graduate (university) student-teachers also left much to be desired, with post-secondary (teachers-college) studentteachers in an intermediate position between the secondary-school pupils and the university groups. It was recommended that neither the pupils' nor the (student-)teachers' intellectual skills should be taken for granted, that (student-)teachers should be made aware of the lack of such skills in their (future-)pupils, and that teacher-education programmes, both pre-and in-service, should ensure explicit attention to this problem by preventive and/or remedial action.