The use of scientific modeling has been shown to be highly effective in the learning of science content in multiple disciplines for non-English Learners (EL). However, the benefits of using this pedagogy with ELs have not been heavily explored. This article discusses the use of modeling-based evolution and population ecology pedagogical units in a…

The RBC+C abstraction model is an effective model in mathematics education because it gives the opportunity to analyze research data through cognitive actions. For this reason, we aim to examine the abstraction process of the limit knowledge of two volunteer participant students using the RBC+C abstraction model. With this aim, the students'…

Practitioner research is in progress at a Further Education college to improve the motivation of vocational students for numeracy and problem solving. A framework proposed by Tang, Sui, & Wang (2003) has been adapted for use in courses. Five levels are identified for embedding numeracy applications and modelling into vocational studies:…

This paper reports on a mixed-model case study of designing and implementing a constructivist teaching intervention about reproduction and physical family resemblance for young children. The objective of the study was to explore whether the ways that preschoolers reason about the resemblance between offspring and parents can be improved with a…

Discussion of students' prior knowledge and its effect on analogical reasoning focuses on four case studies of high school and college students that were designed to determine factors important for success in overcoming misconceptions via analogical reasoning. Explanatory models are explained, and abstract transfer versus explanatory model…

Examples of high school case studies are used to illustrate prototypical mathematical images and the use of imagery in metaphoric and metonymic ways in mathematics. Discusses pattern imagery and other types of imagery as central components in a model of mathematical reasoning. (34 references) (MDH)

Evaluation is an act of persuasion directed to a specific audience concerning the solution of a problem. The process of evaluation is prescribed by the nature of knowledge--which is generally complex, always uncertain (in varying degrees), and not always propositional--and by the nature of logic, which is always selective. In the process of…

This document is the fourth volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 42 research reports by presenters with last names beginning between Mul and Wu:…

This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…