A cognitive construct that is important when solving engineering design problems is executive control process, or metacognition. It is a central feature of human consciousness that enables one "to be aware of, monitor, and control mental processes." The framework for this study was conceptualized by integrating the model for creative design, which…

In the field of human cognition, language plays a special role that is connected directly to thinking and mental development (e.g., Vygotsky, "1938"). Thanks to "verbal thought", language allows humans to go beyond the limits of immediately perceived information, to form concepts and solve complex problems (Luria, "1975"). So, it appears language…

Successful science students have mastered their field of study by being able to apply their learned knowledge and problem solving skills on tests. Problem solving skills must be used to figure out the answer to many classes of questions. What this study is trying to determine is how students solve complex science problems in an academic setting in…

This study investigated whether infusing "causal" story elements into mathematical word problems improves student performance. In one experiment in the USA and a second in USA, Finland and Turkey, undergraduate elementary education majors worked word problems in three formats: 1) standard (minimal verbiage), 2) potential causation…

We describe a modelling activity for students in a course in which modelling with differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a linear, first-order, ordinary differential equation. The activity…

A recent literature review by Smith and Boling (2009) critically examines the received view of instructional design in educational technology. Smith and Boling conclude that the foundational literature characterizes design in a way that leads to a constrained understanding of design, especially by novices. They suggest that as a field we move…

Part of the power of algebra is that it provides students with tools that they can use to model a variety of problems and applications. Such modeling requires them to understand patterns and choose from a variety of representations--numeric, graphical, symbolic--to construct a model that accurately reflects the relationships found in the original…

In Finland, schools' effectiveness in fostering the development of transversal skills is evaluated through large-scale learning to learn (LTL) assessments. This article presents how LTL skills--general cognitive competences and learning-related motivational beliefs--develop during primary school and how they predict pupils' CPS skills at the end…

This experiment investigates the effectiveness of Excel spreadsheets in a high school algebra class. Students in the experiment group convincingly outperformed the control group on a post lesson assessment. The student responses, teacher observations involving Excel spreadsheet revealed that it operated as a mindtool, which formed the users'…

Several decades ago, V. A. Krutetskii conducted a multiyear study to investigate the various types of thinking that academically advanced, or as he called them, gifted mathematicians used. Following an in-depth look at Krutetskii's nine ways of thinking, a model is proposed that will provide direction for teachers in selecting problems. The model…

There are three hypotheses for this research: 1. High school mathematics students in urban public schools, who are provided interactive technology resources during normal course work, will experience a multiplier effect of enhanced learning in mathematics. They will have an increase in positive dispositions indicative of their identity development…

The No Child Left Behind Act of 2001 put a focus on each child in a school being proficient. Since 1957 when Sputnik was launched, the United States has been attempting to improve its schools. The existing literature has a gap as to how to turn around an underperforming school in a fairly short period of time. A qualitative case study methodology…

This paper outlines an innovative game-based approach to learning introductory programming that is grounded in the development of computational thinking at an abstract conceptual level, but also provides a direct contextual relationship between game-play and learning traditional introductory programming. The paper proposes a possible model for,…

The senior school Mathematics syllabus is often restricted to the study of single variable differential equations of the first order. Unfortunately most real life examples do not follow such types of relations. In addition, very few differential equations in real life have exact solutions that can be expressed in finite terms. Even if the solution…

Current methods for detecting growth of students' problem-solving skills in math focus mainly on analyzing changes in test scores. Score-level analysis, however, may fail to reflect subtle changes that might be evident at the item level. This article demonstrates a method for studying item-level changes using data from a multiwave experiment with…