This research explores two methods through which ten preservice math teachers develop an understanding of trigonometric values. Using the unit circle, preservice math teachers engage in knowledge-building activities such as paper folding and GeoGebra application. Grounded in Altman and Kidron's 2016 didactical design research, this study examines…

Mental models are representations of students' minds concepts to explain a situation or an on-going process. The purpose of this study is to describe students' mental model in solving mathematical patterns of generalization problem. Subjects in this study were the VII grade students of junior high school in Situbondo, East Java, Indonesia. This…

Getting students adopt the habits of mind specific to many disciplines can be seen as an anchor that will support them to solve the problems in their daily lives. Starting from this premise, a new subject, featuring the habits of mind and how to use and improve them in educational environments seems to worth thinking on. This article describes an…

Educational research and practice have proven that there are many benefits for applying learning theories' recommendations through teaching and learning of different subjects in all school levels. Based on interrelationships among learning theories of contextualism, connectivism, constructivism, and cognitivism, the researcher proposed an…

In a series of two in vivo experiments, we examine whether correct and incorrect examples with prompts for self-explanation can be effective for improving students' conceptual understanding and procedural skill in Algebra when combined with guided practice. In Experiment 1, students working with the Algebra I Cognitive Tutor were randomly assigned…

We present a new software, called Goluca (Godinho, Luengo, and Casas, 2007), based on the technique of Pathfinder Associative Networks (Schvaneveldt, 1989), which produces graphical representations of the cognitive structure of individuals in a given field knowledge. In this case, we studied the strategies used by teachers and its relationship…

Introduction. The use of 3-5 languages where professional language is one of them is of the greatest importance in order to form varied cooperative networks for the creation of new knowledge. The Aim of the Study. To identify and analyze professional language on the pedagogical discourse in language education. Materials and Methods. The search for…

This paper describes a theoretical framework for the investigation of some specific types of visual learning difficulties commonly experienced by biology undergraduates. The framework was developed based on the findings of three simple qualitative pilot studies. A variety of neurological, cognitive and cultural mechanisms can influence what humans…

It has been understood for decades that language and thought are closely related. If one accepts that the thoughts that we construct are based upon the language that we speak and the words that we use, then it follows that the language that we speak influences the way that we think. It is necessary that we possess the words to describe objects,…