Our study aims to determine how Habermas' construct of rationality can serve to identify and interpret the difficulties experienced by university students in the mathematical problem-solving process. To this end, a problem which required modelling and solving a differential equation was used. The problem-solving processes of university students…

The Australian Government, in its Professional Standards for Teachers and Australian Curriculum framework, requires that all secondary teachers actively teach the specific literacy of their learning area. Yet achievement of that goal hinges on teachers having first acquired the pre-requisite literate competencies during their own schooling. There…

This experiment examined learning differences between students who read instructional examples that varied in the order that information was presented. In an online lesson about advice giving, 275 students were randomly assigned to a learning condition where the order of instructional information moved either from (a) concrete examples to abstract…

Appreciating that a significant amount of assessment-related literature has focused on the 'what' of assessment (i.e. what to assess), 'the systematic use of assessment to improve learning remains the exception rather than the rule' [Wiliam, D. (2018). Assessment for learning: Meeting the challenge of implementation. "Assessment in Education:…

Several studies related to mathematical proof have been done by many researchers on high-level materials, but not yet examined on the material of transformation geometry. The aim of this research is identification learning obstacles pre-service teachers on transformation geometry. This study is qualitative research; data were collected from…

Vocabulary researchers generally point out three strategies that learners apply in order to find out the meanings of unknown words on their own (Graves, 2006; 2007). The use of context, word parts, reference materials ((e.g. dictionaries, glossaries, thesauruses, both print and online) in-text definition/explanations, synonyms, examples,…

Competency-based education (CBE) is the hot new thing in higher education. While forms of CBE have been around since the 1970s, there has been a surge of interest in CBE, with more than 600 postsecondary institutions now reporting that they are either offering competency-based degree programs or are planning to do so. Similarly, institutional…

The American Association of Collegiate Registrars and Admissions Officers (AACRAO) initiated a series of surveys designed to capture member institutional practice snapshots in 60 seconds or less. The December 2014 "AACRAO 60 Second Survey" asked respondents to indicate their institutions' credit for prior learning practices (CPL). To…

This study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the…

The present study investigates the effects of two different vocabulary learning conditions in digital reading environments equipped with electronic textual glossing. The first condition presents the concordance lines of a target lexical item, thereby making learners infer its meaning by reading the referenced sentences. The second condition…

Reading academic hypertext documents in college brings a new level of complexity that changes the definition of college reading and literacy. Knowing how to read these unpredictable, nonlinear texts requires familiarity and practice. The author describes the nature and usefulness of hypertext, reviews the challenges of reading hypertext, and…

Purpose: The purpose of this study is to explore faculty definitions of college-level learning in order to develop a universal definition to assist employers, career counselors, and academic institutions in assessing college-level workplace learning. Design/methodology/approach: Faculty were administered an electronic survey to gather definitions…

In this article the author discusses the importance of defining generic competences in alignment with the European definitions. As a case study the generic competences defined by Laurea University of Applied Sciences are compared with European definitions of generic competences. The purpose is to open up the various perspectives within this…

Through an account of the history of exponential functions as presented in traditional calculus textbooks, I present my observations and remarks on the spiral development of the concept, and my concerns about the general presentations of the subject. In this article I emphasize how the different arrangements and sequencing of the subjects required…

The focus of the article is on the complex cognitive process involved in learning the concept of "straightness" in Non-Euclidean geometry. Learning new material is viewed through a conflict resolution framework, as a student questions familiar assumptions understood in Euclidean geometry. A case study reveals how mathematization of the straight…