This study explores how pre-service mathematics teachers' spatial visualisation skills evolved during a Cognitive Load Theory (CLT) based education. The study used the qualitative theory-testing case study method, which guided the identification of participants, the design of technology-supported education, and the data collection and analysis…

"Research Findings:" Pattern creation (PC) is creating a pattern unit based on children's own understanding of the concept of pattern, without being provided with a pattern unit as a reference, and the repetition of this pattern unit to create a complete structure. This study explored the performance and predictors of pattern creation…

As the demand for skilled data scientists has grown, university level statistics and data science courses have become more rigorous in training students to understand and utilize the tools that their future careers will likely require. However, the mechanisms to assess students' use of these tools while they are learning to use them are not well…

The recognition of patterns and creativity are two characteristics associated with mathematical talent. In this study, we analyzed these characteristics in a group of 37 mathematically talented students. The students were asked to find the pattern the Braille code had been built upon and reinvent it with the aim of making its mathematical language…

The present study is a part of design research in local instructional theory in a pre-algebraic lesson using the Realistic Mathematics Education (RME) approach. The article will focus on recommendations for the type of pre-algebra class that supports elementary school students' algebraic thinking. As design research study, it followed the three…

Humans possess a remarkable ability to recognise both simple patterns such as shapes and handwriting and very complex patterns such as faces and landscapes. To investigate one small aspect of human pattern recognition, in this study participants position lines of "best fit" to two-dimensional scatter plots of data. The study investigates…

The oft-repeated phrase "a picture is worth a thousand words" supposes that an image can replace a profusion of words to more easily express complex ideas. For scientific visualizations that represent profusions of numerical data, however, an untranslated academic visualization suffers the same pitfalls untranslated jargon does. Previous…

Facilitating class discussions effectively is a critical yet challenging component of instruction, particularly in online environments where student and faculty interaction is limited. Our goals in this research were to identify facilitation strategies that encourage productive discussion, and to explore text mining techniques that can help…

This study identified five subdimensions of spatial habits of mind--pattern recognition, spatial description, visualization, spatial concept use, and spatial tool use--and created an inventory to measure them. In addition, the effects of GIS learning on spatial habits of mind were investigated. Pre- and post-tests were conducted at the beginning…

The results presented here derive from a longitudinal study of Swedish upper secondary science students' (16-19 years of age) developing understanding of key chemical concepts. The informants were 18 students from two different schools. The aim of the present study was to investigate the mental models of matter at the particulate level that…

Several experiments were undertaken with a total of 111 undergraduates. Subjects attempted to imagine how three-dimensional novel wire objects would appear from viewpoints other than that of the subject. Subjects were unable to perform this task without making use of strategies that circumvent the process of visualization. (TJH)

Visual recognition, navigation, tracking, and imagery are posited to involve some of the same types of representations and processes. The first part of this paper develops a theory of some of the shared types of representations and processing modules. The theory is developed in light of neurophysiological and neuroanatomical data from non-human…

The validity of a spatial visualization test for selecting candidate engineering students was assessed. The test was administered to 300 out of the 318 students enrolled during the winter quarter of 1989 in the Engineering Graphics 110 course at a major state university. Developmental steps undertaken to enhance the theoretical basis and validity…

This paper investigates the processes by which visual mental images--the precept-like short-term memory representations--are created from information stored in long-term memory. It also presents a new method for studying image generation. Three experiments were conducted using college students as subjects. In the first experiment, a Podgorny and…