With the objective of identifying intrinsic forms of mathematical production in complex analysis (CA), this study presents an analysis of the mathematical activity of five original works that contributed to the development of Cauchy's integral theorem. The analysis of the mathematical activity was carried out through the identification of the…

Our objective in this study was to investigate how the eye-movement behavior and concurrent verbal protocols of students with high-/low-prior-knowledge were reflected in the use of multiple representations for scientific argumentation. We also examined the degree of consistency between eye-fixation data and verbalization to ascertain how and when…

This study investigated the effects of providing domain information in an early stage of an inquiry process, together with an aligned hypothesis scratchpad, on inquiry learning, and hypothesis generation in particular. Participants were provided with basic domain information that was adapted to their prior knowledge (experimental condition) or…

While existing studies have underscored the educational benefits of generating explanatory hypotheses (EHs) in response to unexpected outcomes, empirical research on the underlying mechanisms driving their effectiveness in science learning remains limited. Thus, this study aimed to empirically examine the effectiveness of generating an EH for…

Hypothesis-based reasoning with conditionals is a skill that is required for engaging in integral activities of modern elementary school science-curricula. The teaching of this skill at this early stage of education, however, is demanding, particularly in whole school classes in which it is difficult to adapt teaching to children's individual…

Many large-scale, school-based interventions have attempted to improve academic performance through promoting students' growth mindset, defined as the belief that one's intellectual ability can increase with practice and time. However, most have shown weak to no effects. Thus, it is important to examine how growth mindset might affect retention…