Geometry is one of the basic skills to be mastered in Malaysian mathematics education. However, there is not much information on geometry attainment of the elementary school students based on van Hiele's levels. The purpose of this study was to determine the van Hiele's levels of geometric thinking among the elementary school learners. Three…

Instructor behaviour is known to affect learning performance, but it is unclear which specific instructor behaviours can optimize learning. We used eye-tracking technology and questionnaires to test whether the instructor's gaze guidance affected learners' visual attention, social presence, and learning performance, using four video lectures:…

A great deal of teacher planning involves an invisible process of envisioning how plans might unfold in the classroom. Novice teachers can benefit from seeing how experienced teachers work through this process, but, too often, co-planning sessions between mentors and novices focus on selecting activities to fill out a lesson, rather than delving…

One of the great challenges interdisciplinary programs face is fguring out how to get students to engage subject matter in a truly integrative way. To accomplish integration, students do not need to become experts in multiple felds, but they do need to understand how multiple modes of thinking, theoretical lenses, and content knowledge can be…

Student ability to demonstrate mathematical creativity positively affects their mathematical learning. Further, creativity-based mathematical instruction (CBMI) may enhance divergent thinking and precipitate a highly creative mathematical learning environment. In this literature review and discussion, it is posited that CBMI has distinctively…

In this paper, we consider a minimalistic and behavioristic view of AIS to enable a standardizable mapping of both the behavior of the system and of the learner. In this model, the "learners" interact with the learning "resources" in a given learning "environment" following preset steps of learning…

This dissertation is comprised of three interlinked studies investigating young children's authentic inquiry practices. The first article provides a literature synthesis of over two hundred and fifty in-depth cases of K-6 facilitated authentic inquiry learning environments. These cases reveal the wide-ranging authentic inquiry practices that are a…

In this chapter, I propose a stance on learning fractions as multiplicative relations through reorganizing knowledge of whole numbers as a viable alternative to the Natural Number Bias (NNB) stance. Such an alternative, rooted in the constructivist theory of knowing and learning, provides a way forward in thinking about and carrying out…

Growth Mindsets are recognized as a powerful teaching and learning tool. To avoid misunderstanding, misuse or oversimplification, this new book explores what Mindsets are, what they are not and how effective use of them can support and enhance learning and teaching. It takes a focused look at whether a more general approach to mindsets for all…

The Center for Universal Education (CUE) at the Brookings Institution studies innovations that can rapidly improve education progress, including innovations that use education technology. If the education sector stays on its current trajectory, by 2030 half of all children and young people around the world will lack basic secondary-level skills…

Language classrooms are complex systems, but theory often simplifies these processes making researching effectiveness difficult. Assemblage theory -- a theory of complexity in the social sciences -- allows us to examine complexity in the language classroom. In this paper, I present an account of the language classroom that captures the complexity,…

This paper describes the first stages on the development of a design method of digital trainings using the collaborative authoring tool "ALO". Based on the theory of instrumental conflict (Marquet, 2005), this method highlights the necessity of the design digital trainings under the optimal harmonization for users/learners in didactic,…

In order for teachers to support students' mathematical thinking, Battista (2004) believed they must identify core mathematical concepts, recognize conceptual frameworks for understanding children's thinking, and use appropriate assessment tasks. In his view, learning trajectories provide teachers with information on children's cognitive abilities…

Roots is one of these mathematical topics that students encounter multiple times in their studies of mathematics. Growing from the commognitive framework, this study is concerned with intra-commognitive conflicts where the same discursant develops incommensurable discourses on 'the same' mathematical object (square roots, in this case) and…

Recent reforms in science education call for efforts to engage students in authentic and sustained science practices. In order to engage students in authentic science practices, students need to enact epistemic agency over the processes of inquiry in line with how knowledge is constructed and practiced in the real world. A critical research…