Motivated by a curriculum privileging number-based strategies but national tests highlighting students' reliance on standard algorithms, this study analyses 2,216 Danish Grade 3, 6 and 8 students' solutions to various multidigit arithmetic tasks, each designed to elicit shortcut strategies, against background variables including sex, ethnicity and…

Background/Context: This study contributes to our growing understanding of coaches' role in district reform by introducing instructional-coach teams as a potentially important concept for understanding coaching activities that support systemic reform. Prior research shows that instructional coaches leverage their position between the district…

Domain experts regularly teach novice students how to perform a task. This often requires them to adjust their behavior to the less knowledgeable audience and, hence, to behave in a more didactic manner. Eye movement modeling examples (EMMEs) are a contemporary educational tool for displaying experts' (natural or didactic) problem-solving behavior…

Traditionally, scholars in physics education research have focused on students solving well-structured learning activities at the university. However, due to their constrained nature, these problems hinder collaboration and idea generation. In order to encourage student collaboration and decision making demands among undergraduate students in an…

With problem-solving as the focus and wisdom as the goal, the concept of giftedness is reconceptualized in the 21st century context. The two most prominent constructs in the field of education for the gifted, creativity and intelligence, are integrated into a view of exceptional talent as consisting of the ability and willingness to solve complex…

Design education has moved towards a collaborative practice where designers work in teams and with other disciplines to solve unstructured problems. Along with the cognitive skills involved in the execution of the design process, designers also need skills to work in teams, share information, negotiate common ground and reach consensus.…

Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…

Background:Concepts are defined generally as fundamental principles or global understandings specific to a field of expertise. Theories of situated cognition suggest that concepts may not have uniform meaning or representation in a particular social setting. Purpose/Hypothesis: The goal of this study was to investigate the process by which…

The work of Niklaus Wirth, designer of the Pascal programming language, has led to the introduction of programming in schools in many countries often leading to a transformation in the way of thinking. In this article, we provide a retrospective analysis of the Lithuanian experience driven by Pascal and discuss the main ideas about teaching…

Multiple external representations (MERs) play an important role in the learning field of mathematics. Whereas the cognitive theory of multimedia learning and the integrative text and picture comprehension model assume that the heterogeneous combination of symbolic and analogous representations fosters learning; the design, functions, and tasks…

This paper presents 'expert opinions' on what should be taught in a first-year linear algebra course at university; the aim is to gain a generic picture and general guiding principles for such a course. Drawing on a Delphi method, 14 university professors--called 'experts' in this study--addressed the following questions: What should be on a…

Should the topic of judgment have a place in the preparation and development of school leaders? This question serves as the focus for an examination of the nature of judgment and obstacles to good judgment. Judgment is defined as the ability to arrive at and make a choice when faced with incomplete information, uncertain conditions, and/or…

Cognitive model [CM] is the description of individual's problem-solving method on selected tasks at a precise level to make meaningful inference on his/her strengths and weaknesses. CM serves as a foundation in developing a cognitive diagnostic assessment [CDA] that links the interpretation of test score to the attributes. This study employed the…

The instructional effect of worked examples has been investigated in many research studies. However, most of them evaluated the overall performance of the participants in solving post-intervention problems, rather than individual step performance in multi-step problems. The two experiments reported in this article investigated the relations…

Based on quantitative survey data collected from an inquiry-based general chemistry laboratory course, the current study used marginal models to evaluate changes in students' teamwork and problem-solving skills, attitudes to teamwork, and willingness to explore new issues before and after the course. The results suggest that introductory-level…