This lecture reports on aspects of a larger research programme focused on studying mental mathematics in elementary and secondary mathematics classrooms. It specifically addresses an unplanned aspect that became salient through the work conducted in these classrooms. In this research programme, mental mathematics sessions are designed on a variety…

This paper refers to the concept of semiotic and theoretic control describing resources to conduct decisions in epistemic processes. We consider an argumentation process from a complex problem-solving activity involving different conceptual frames related to parabolas. Using a micro-analytical interpretative lens, we will show that, in order to…

Individuals with low Need for Cognition (NFC) have been found to process information using a peripheral route compared to individuals higher in NFC. These differences affect the formation of performance expectancies. Based on previous work demonstrating that the formation of performance expectancies can be understood as an information processing…

The cognitive load theory recommendations for enhancing the success of teaching are effective up to a certain boundary. The paper is dedicated to finding this boundary line in sentence length for 17-18-year-old students. The students filled in the blanks in 30 cloze tests. The cloze test results were correlated with the percentage of sentences…

The purpose of this case study is to analyse the learning processes of a 16-year-old student as she learns about simple electric circuits in response to an analogy-based teaching sequence. Analogical thinking processes are modelled by a sequence of four steps according to Gentner's structure mapping theory (activate base domain, postulate local…

This study of the Apple Classroom of Tomorrow (ACOT) environment focused on the potential of a computer-saturated environment to facilitate students' thinking processes. Four approaches were used: (1) a longtitudinal approach to study student growth and development; (2) observations of students' behavior while writing with the computer to study…

This study investigated the impact of cognitive organizers, with the integration of technology, Inspiration 6 software, compared to a traditional textbook instruction format on content-area learning in high school inclusive social studies classes. Twenty-nine tenth-grade students in general education and 20 students with mild disabilities were…

A new test theory for performance-based assessment is proposed. Criteria for "good" performance-based items, ways of measuring cognitive complexity, methods for determining maturity levels of understanding, and scaling systems are discussed. A performance-based task completed by 51 ninth and tenth graders in June 1993 was studied.…