STACK is an online testing system that can automatically assess mathematical formulae. When working with STACK on a smartphone, inputting mathematical formulae is time-consuming; therefore, to solve this problem a mathematical formula input interface for smartphones has been developed based on the flick operation. However, since the time of…

Many students arrive at colleges and universities underprepared for college-level mathematics courses. In the United States, these students are required to complete developmental mathematics courses before completing the required mathematics courses for their degrees. Students who are required to take developmental mathematics courses frequently…

Empirical studies of creativity emphasize the importance of ambiguity advantage in idea generation and creative problem-solving. This study examined whether ambiguous figures could directly induce a mind-set that would transfer to the creative problem-solving. In Experiment 1, we examined whether presentation of ambiguous figures would influence…

Previous research has demonstrated that cognitive offloading (i.e., externalizing mental processes) is useful for immediate problem solving. However, long-term effects of cognitive offloading on subsequent problem solving without offloading are remarkably understudied. Our main goal was to investigate the effects of representation control (i.e.,…

Peter Dunn and Margaret Marshman present the second of their data files articles in which they discuss the statistical investigation cycle which describes the whole process of conducting a statistical research study. [For "The Data Files: A Series of Articles to Support Mathematics Teachers to Teach Statistics," see EJ1259108.]

Open-ended tasks are common in Science, Technology, Engineering and Mathematics (STEM) education. However, as far as we know, no tools have been developed to assist in the assessment of the solution process of open-ended questions. In this paper, we propose the use of analysis of traces as a tool to address this need. To illustrate this approach,…

How do high school students approach academic and creative challenges? This study compares the content of academic and creative challenges for 190 high school students, and examines students' intentions to persist. Students reported experiencing academic and creative challenges in different areas: academic challenges were described primarily in…

Much of our real-life decision making is bounded by uncertain information, limitations in cognitive resources, and a lack of time to allocate to the decision process. It is thought that humans overcome these limitations through "satisficing," fast but "good-enough" heuristic decision making that prioritizes some sources of…

Structured abstract: Introduction: Difficulties in science and mathematics may stem from intuitive interference of irrelevant salient variables in a task. It has been suggested that such intuitive interference is based on immediate perceptual differences that are often visual. Studies performed with sighted participants have indicated that in the…

Research suggests that people use a variety of strategies for comparing the numerical values of two fractions. They use holistic strategies that rely on the fraction magnitudes, componential strategies that rely on the fraction numerators or denominators, or a combination of both. We investigated how mathematically skilled adults adapt their…

Background: This study investigated learning outcomes and user perceptions from interactions with a hybrid intelligent tutoring system created by combining the AutoTutor conversational tutoring system with the Assessment and Learning in Knowledge Spaces (ALEKS) adaptive learning system for mathematics. This hybrid intelligent tutoring system (ITS)…

Item response time data were used in investigating the differences in student test-taking behavior between two device conditions: computer and tablet. Analyses were conducted to address the questions of whether or not the device condition had a differential impact on rapid guessing and solution behaviors (with response time effort used as an…

We asked: "What are the similarities and differences in mathematical processing associated with solving learning-based and insight-based problems?" To answer this question, the ERP research procedure was employed with 69 male adolescent subjects who solved specially designed insight-based and learning-based tests. Solutions of…

Previous research has indicated the disconnect between example-based research focusing on worked examples (WEs) and that focusing on modeling examples. The purpose of this study was to examine and compare the effect of four different types of examples from the two separate lines of research, including standard WEs, erroneous WEs, expert (masterly)…

Situated in the second year of an engineering curriculum, undergraduate engineering mechanics courses represent a significant barrier to persistence in engineering. This study seeks to inform and improve these educational environments by examining academic performance paths over time in a course and explore how students in each path compare in the…