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…

Research and theories of leadership development link the capacity for complex thinking to effectiveness at leading adaptive change. However, few empirical studies examine how this link operates in natural work settings, or explore its implications for practicing the kinds of leadership being called for in higher education today. In this study, I…

The use of local wisdom as learning sources and the empowerment of students' Higher-Order Thinking Skills (HOTS) are the two components that must be carried out in the 21st-century biology learning. The purpose of this study was to explore the information about the application of local wisdom-based learning and HOTS-based assessment in…

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…

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…

The authors investigated the effects of differing question-stem designs (detailed stem, simple stem, and no stem) on elementary students regarding the quality of the posed questions by students, as well as their science reports, science achievements, and critical thinking ability. A quasi-experimental design was adopted. One hundred fifth-grade…

Spatial thinking is an important predictor of mathematics. However, existing data do not determine whether all spatial sub-domains are equally important for mathematics outcomes nor whether mathematics-spatial associations vary through development. This study addresses these questions by exploring the developmental relations between mathematics…

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…

Collaborative learning in class-based teaching presents a challenge for a tutor to ensure every group and individual student has the best learning experience. We present Group Tagging, a web application that supports reflection on collaborative, group-based classroom activities. Group Tagging provides students with an opportunity to record…

The purpose of this study was to investigate secondary mathematics teachers' conceptions of mathematical literacy, which are important to consider when is essential to address in designing and implementing effective approaches. Data sources included semi-structured interviews with 16 in-service mathematics teachers from different types of…

This article examines the integration of cognitive psychology research and technology within existing frameworks of statistics course design and implementation for a sequence of flipped graduate-level courses. Particular focus is the use of the principles of spacing and retrieval practice within the flipped classroom format as strategic approaches…

Students' ability to comprehend what they read is greatly influenced by what they already know and have experienced. For this reason, teachers work to activate students' background knowledge prior to reading. Regrettably, the pedagogical techniques available to teachers for activating students' knowledge are quite limited. Further, those available…

This paper draws on observational studies of three young children in order to demonstrate firstly, their intrinsic motivation to explore systematically through repeated patterns of action or 'schemas'; secondly, how those repeated actions appear and are explored in their emerging language demonstrating their increasing construction of and…

Two 20-h modelling-based workshops focused on the explanation of thermally activated phenomena were held at the University of Palermo, Italy, during the Academic Year 2014-2015. One of them was conducted by applying an inquiry-based approach, while the other, still based on laboratory and modelling activities, was not focused on inquiry.…