This paper's purpose is to investigate the attitude of students in mathematical discovery processes in terms of the handling of counterexamples. By understanding this attitude as a kind of scientific attitude, it consists of different aspects that become visible in the behaviour during a mathematical discovery process. Since such a process is…

We investigated the role of children's conflict monitoring skills in revising an intuitive scientific theory. Children aged 5 to 9 (N = 177; 53% girls, data collected in Germany from 2019-2023) completed computer-based tasks on water displacement, a concept prone to misconceptions. Children predicted which of two objects would displace more water…

In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework…

Implementing programs for gifted students requires solutions on multiple levels of the education system. In this article, Heinz Neber suggests streamlining the topic with five interacting, systemic levels. Each level requires its own definitions and clarifications. These should be coordinated and prioritized according to prominent goals and…

Experimentation is a complex problem-solving process. In biology lessons, experiments involve creative thinking and open discovery; however, they still require some degree of instructional guidance. The right balance between discovery learning and instructional guidance depends substantially on students' prior knowledge. Students with low prior…

At first glance, science and art seem as likely companions as oil and water. Is there more to mixing them up than mere metaphor and a messy floor? In this article, Tom Pringle shares some ideas for powering up the classroom by turning STEM into STEAM by dipping the paintbrush of art into the pot of science. In both art and science pupils can…

A total of 268 primary school children (age 8.75 ± 0.65) spent one day at a wildlife park attending environmental education aiming at high cognitive achievement and motivation alongside maintained discipline. To accomplish this at an out-of-school learning setting, we compared our preferred 'guided learning at workstations' (G) combining the…

Structure in the form of feedback has been shown to be highly relevant to students learning. Offering feedback, stating clear expectations and instructions, might enhance students' perceived competence. The context chosen for this study were experiments studying bird flight in biology lessons. Students experimented in a scientific discovery…

Intuitive knowledge seems to influence human decision-making outside of consciousness and differs from deliberate cognitive and metacognitive processes. Intuitive knowledge can play an essential role in problem solving and may offer the initiation of subsequent learning processes. Scientific discovery learning with computer simulations leads to…

Although teachers in principle are prepared to make use of science centers, such excursions often fail to facilitate learning processes. Therefore, it is necessary to improve the link between science centers and schools. The design and evaluation of valuable outreach projects may enhance students' out-of-school science learning. In our study, we…

Discovery learning in mathematics in the domain of probability based on hands-on experiments is normally limited because of the difficulty in providing sufficient materials and data volume in terms of repetitions of the experiments. Our cooperative, computational modelling and simulation environment engages students and teachers in composing and…

This empirical investigation, implemented with a computer program, examined the influence of graphical and numerical representations on the discovery process involving iteration sequence properties and concomitant problem-solving abilities for 79 eleventh grade students and 22 secondary mathematics teachers. Results indicate that heuristics and…

Describes teaching methods employed in German elementary school classrooms that develop discovery, creativity, and a spirit of cooperation in students learning mathematics. Methods included free choice of learning activities by students and small group cooperative activities. Students' motivation, self-confidence, social and communications skills,…

This paper summarizes a pair of studies titled "The Impact of Longer Term Intervention on Reforming the Approaches to Instruction in Chemistry by Urban Teachers of Physical and Life Sciences at the Secondary School Level" (William J. Priestley, Holly D. Priestley, and Joseph S. Schuckler) and "Profile of Instructional Practices…

System-initiated adaptive advice and learner-requested nonadaptive background information were investigated in computer simulation game experiments with 64 seventh graders, 38 college students, and 80 seventh and eighth graders in Germany. Results are discussed in terms of theories of problem solving, intelligence, memory, and information…