Python programming is widely employed in educational institutions worldwide. Within the "Merdeka Belajar" curriculum context, this programming is recognized as a suitable vehicle for mathematics instruction, significantly influencing students' motivation and learning outcomes, particularly following periods of educational hiatus. This…

Information changes as it is passed from person to person, with this process of cultural transmission allowing the minds of individuals to shape the information that they transmit. We present mathematical models of cultural transmission which predict that the amount of information passed from person to person should affect the rate at which that…

A cognitive/metacognitive framework is presented for analysing applications tasks and responses to these. Conditions facilitating or impeding access to such tasks at the upper secondary level were identified using qualitative data analysis techniques within this framework. Strategies employed in exploiting, or overcoming these conditions were…

The development of probability judgment is explained in terms of working memory, composed of four types of storage operations and three types of processing operations. Age changes in probability judgment were related to changes in frequency retrieval, which stem from changes in constraints on work-space capacity. (Author/RD)

Category theory concept of a commutative diagram was used to construct a model of the way in which symbolic processes are applied to problem solving. It was shown that several different levels of thought can be distinguished within the basic model. Two experiments testing the theory are reported. (Author/RD)

A model of association formation, storage, and retrieval is described. Experiments which test new predictions derived from the model against human recall are reported. The model is applied to previous findings: prototype abstraction, the A-B A-D paradigm and the Osgood transfer surface. Previous models of memory are discussed. (Author/RD)

Two simple quantitative models were derived from a series of experiments which explored the role of information storage in working memory when performing mental arithmetic. The decay model is a tractable analysis of a complex task which assumes a decay process in working storage. Similar analyses are recommended for problem solving activities…

Decision-making processes were investigated in a laboratory analogue of clinical diagnosis and through computer simulations of decision making. The data indicated that nonprobabilistic theories can provide plausible and complete accounts of decision behavior and can improve quantitative accuracy of predictions that are based on traditional…

A multirate mathematical model is presented to support the hypothesis that different types of information are lost from a memory trace at different rates. The model is validated by two experiments assessing the retention of pictures and of sentences at three different delays by cued recall. (Author/CP)

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…