This study focuses on the problem of 'teachers' teaching' and 'students' learning' in college education courses. It aims to introduce the Deep Learning theory into the teaching of ideological and political theory courses in universities; deepen the theoretical framework of education courses and the associated learning, maintenance, promotion, and…

In this study, we aim to investigate the role of language in small group peer collaboration. Based on the notion of symmetrical scaffolding, we draw on theories of dialogic space and functional linguistics to analyse a transcript of three six-year-old students as they explore a shared understanding of 'two more than'. Using Martin and White's…

In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…

Transformative learning theory has provided a sound theoretical base for adult education's Western and Eastern academic field. This article aims to introduce the mandala model of transformative learning by transferring Mezirow's theory of perspective transformation onto a mandala map. In the mandala model, the learning agent exercises two…

Worked examples are effective learning tools for algebraic equation solving. However, they are typically presented in a static concise format, which only displays the major derivation steps in one static image. The current work explores how worked examples that vary in their extensiveness (i.e., detail) and degree of dynamic presentation (i.e.,…

The aim of this study is to measure the effects of teaching problem-solving strategies as an integrated part of the mathematical content prescribed by the curriculum. By implementing the designs principles developed in the previous study, we carry out a one-year-long teaching intervention in a Swedish upper secondary school. Pre- and post-tests…

To be able to support students' competence development in solving physics problems over the course of a lesson series effectively, teachers need a proper appreciation of students' deficiencies. As teachers commonly assess students' competence by means of written tests, teachers are challenged to interpret students' work on these tests and to…

The purpose of this paper is to review the utility of think alouds in writing instruction and highlight the function of think-aloud modeling in the development of cognitive and metacognitive strategies that support learners' independence. For these purposes, modeling with coping is also explained. Coping models, in which teachers encounter…

As a theory of skill acquisition, the instance theory of automatization posits that, after a period of training, algorithm-based performance is replaced by retrieval-based performance. This theory has been tested using alphabet-arithmetic verification tasks (e.g., is A + 4 = E?), in which the equations are necessarily solved by counting at the…

Low achievement in literacy for children entering kindergarten exists despite district-sponsored professional development (PD) in literacy pedagogy for prekindergarten teachers. PD has been shown to be important in improving teachers' instruction, so low achievement of children is unexplained. The purpose of this basic qualitative study was to…

We report here on an intervention implementing a structural approach to arithmetic problem-solving in relation to learning outcomes among preschoolers. Using the fundamental principles of the variation theory of learning for developing the intervention and as an analytical framework, we discuss teaching and learning in commensurable terms. The…

This article presents a review of literature exploring five different perspectives on mathematical modeling in mathematics education. Because there is not a single agreed-on definition of what mathematical modeling is or how it should be done, a focused and extensive review of mathematical modeling is essential. The five broad classifications…

This paper presents a model for mastery learning. The framework for this model overlays the cognitive and knowledge dimensions from Krathwohl's revision of Bloom's Taxonomy, the Revised Taxonomy, with Polanyi's theory of personal knowledge. A simplified framework integrates Polanyi's concepts of subsidiary and focal awareness with the Revised…

Recently, Gauthier introduced a method to construct solutions to the equations of motion associated with oscillating systems into the mathematics education research literature. In particular, Gauthier's approach involved certain manipulations of the differential equations; and drew on the theory of complex variables.Motivated by the work of…

This paper examines current views and definitions of learning transfer as well as their dominant characteristics. An alterior way to view learning transfer as preparation for future learning (PFL) is presented along with its defining features. This paper is divided into five sections: (a) what comprises learning transfer, (b) the conventional…