In this work, we examine students' ways of thinking when presented with a novel linear algebra problem. Our intent was to explore how students employ and coordinate three modes of thinking, which we call computational, abstract, and geometric, following similar frameworks proposed by Hillel (2000) and Sierpinska (2000). However, the undergraduate…

In this article the connection between transfer, interaction and reflective thinking is analyzed, especially within the context of learning mathematics. Attention is paid to the question of how to use or to explore the knowledge that has already been acquired. It may be relevant to make a distinction between the "classical" concept of…

In this paper, we describe a framework for data analysis that can be embedded into a base application. Since it is important to analyze the data directly inside the application where the data is entered, a tool that allows the scientists to easily work with their data, supports and motivates the execution of further analysis of their data, which…

A considerable number of children rely on counting to solve single-digit addition problems when they are expected to use accurate retrieval-based strategies. There are different reasons why this may be so. Children may use inefficient counting strategies, produce errors when applying backup strategies or lack sufficient confidence to just state…

In this exploratory study we considered how one teacher's understanding of proportional reasoning related to his teaching. We relied on Knowledge in Pieces as a lens for considering the teacher's knowledge organization as a way to make sense of his understanding. We did so by collecting data from two instruments and using Epistemic Network…

We have been incrementally adding data-driven methods into the Deep Thought logic tutor for the purpose of creating a fully data-driven intelligent tutoring system. Our previous research has shown that the addition of data-driven hints, worked examples, and problem assignment can improve student performance and retention in the tutor. In this…

The present study set out to explore the locus of the poorly understood but frequently reported and comparatively large practice effect in sustained attention tests. Drawing on a recently proposed process model of sustained attention tests, several cognitive tasks were administered twice in order to examine which specific component of test…

Our study is on developing mathematics items for Computer-Based Testing (CBT) using Tablet PC. These items are subject-based items using interactive dynamic objects. The purpose of this study is to obtain some suggestions for further tasks drawing on field test results for developed items. First, we clarified the role of the interactive dynamic…

With the ever-increasing push towards authentic learning within post-secondary institutions, many approaches are being explored. One such method with a particular focus on real-world applications has been the International Genetically Engineered Machines (iGEM) competition program. At the University of Calgary, the iGEM program sees teams of…

The study investigated the effects of Solve-Reflect-Pose Strategy (SRP) on pre-service mathematics teachers' algebraic knowledge for teaching in Nigeria. A pre-test-post-test quasi experimental design was employed. Intact classes were used and in all, 182 pre-service mathematics teachers' participated in the study (92 in the experimental group…

Pivot Professional Learning, in consultation with the Australian Association of Mathematics Teachers, summarises their study into the characteristics of Australian mathematics teachers. The study reinforced that Australia has many excellent teachers of mathematics, but can improve by sharing excellent teaching practices of its expert teachers…

This paper explores how a group of pre-service elementary school teachers training to become mathematics teachers for elementary schools arrived at generalizations based on patterns. Two representative problems were investigated with these preservice teachers. The focus of this study was how these preservice teachers analyze and symbolize…

Research has shown that students' emotional intelligence (EI) can be enhanced with time intensive instructional method, nevertheless some studies are inconclusive. This study looked at the impact of including short EI lessons in an introductory hospitality management class. Results showed that students who started with low EI increased their…

Although academic staff have a key role to play in innovation at higher education institutions (hEIs), current innovation adoption among academic staff is disappointing. Most curricula at hEIs are stalled in the traditional pedagogical model of knowledge transmission for teaching and learning with little exploration of technologies for…

Purpose: Higher education institutions play an important role in the economic growth of any country, through skills and productivity of their graduates. Employers have some expectations about the skills the graduates possess when they graduate out of universities. The purpose of this paper is to examine the skills employers look for in graduates…