The duo of artefacts is a simplified model of the complex systems of various manipulatives (either tangible or virtual) that mathematics teachers and their students use in classrooms. It offers a means to study the complexity of the interweaving of the tangible and of the digital worlds in the teaching and learning processes. A duo of artefacts is…

Purpose: The purpose of this paper is to understand how designers and engineers practice design while Making. Motivated by their roots in constructionist learning principles, Makerspaces are increasingly used as sites to learn design, especially in undergraduate engineering education programs. However, there has been little work on how trained…

The statistical problem-solving process is key to the statistics curriculum at the school level, post-secondary, and in statistical practice. The process has four main components: formulate questions, collect data, analyze data, and interpret results. The Pre-K-12 Guidelines for Assessment and Instruction in Statistics Education (GAISE) emphasizes…

Various similarity measures for source code have been proposed, many rely on edit- or tree-distance. To support a lecturer in quickly assessing live or online exercises with respect to "approaches taken by the students," we compare source code on a more abstract, semantic level. Even if novice student's solutions follow the same idea,…

We investigate encoder-decoder GRU networks with attention mechanism for solving a diverse array of elementary math problems with mathematical symbolic structures. We quantitatively measure performances of recurrent models on a given question type using a test set of unseen problems with a binary scoring and partial credit system. From our…

If you have ever attended a town meeting or business lunch, or participated in a church group or department meeting, or served on a faculty senate or maybe just watched C-SPAN, then you have likely encountered "Robert's Rules of Order." This critical edition of Henry M. Robert's essential guide to parliamentary procedure features the…

This book studies learning as a social enterprise, contextually situated, organized and assessed. It gives a broad theoretic grounding for an understanding of learning which goes beyond a common reductionist approach. The book discusses four related approaches to learning which share a social perspective: social semiotics and multimodality; a…

Extensive research has established that successful learning from an example is conditional on an important learning activity: self-explanation. Moreover, a model for learning from examples suggests that self-explanation quality mediates effects of examples on learning outcomes (Atkinson et al. in Rev Educ Res 70:181-214, 2000). We investigated…

The aim of the current research is to know the effect of teaching mathematics using the PDEODE teaching strategy supported by the e-learning environment in developing the conceptual understanding and problem-solving skills among the fourth grade of the primary stage. To achieve the research objectives, the experimental approach was in its…

Intelligent tutoring systems (ITS) have been shown to be highly effective at promoting learning as compared to other computer-based instructional approaches. However, many ITS rely heavily on expert design and hand-crafted rules. This makes them difficult to build and transfer across domains and limits their potential efficacy. In this paper, we…

Several studies have shown that children do not only erroneously use additive reasoning in proportional word problems, but also erroneously use proportional reasoning in additive word problems. Traditionally, these errors were contributed to a lack of calculation and discrimination skills. Recent research evidence puts forward an additional…

Despite decades of conversations about student engagement, student success is rarely measured in terms of the capabilities of students to learn with, from, and for others--what Clifton Conrad and Todd Lundberg define as collaborative learning. From their perspective, positioning individual learning as the cornerstone of a college education falls…

This article presents a philosophical and pragmatic critique of critical mathematics (CM) and current vocational mathematics (VM) in the United States. I argue that, despite differences, CM and VM advocates share the view that the inauthentic contextualization of secondary mathematics does particular harm to students from historically marginalized…

Living in the anthropocene requires addressing several challenges. New forms of teaching where experiences of problem solving, creativity and innovation strategies are needed and considered important. This Swedish study contributes with knowledge on pre-school children's creativity processes when working on an authentic, child-initiated…

One of the most effective forms of professional learning happens when teachers conduct collaborative inquiry in their own classrooms around difficult and challenging topics -- even topics that are potentially divisive. In this article, the authors describe how they have seen this powerful process at work in their district in Pitt County, North…