Reasoning is handled as a basic process skill in mathematics teaching. When the literature was examined, it was seen that many types of reasoning related to mathematics education were mentioned. In the present study, it was focused on visual reasoning, which is one of the types of reasoning and also used in different research areas. The purpose of…

In this photo elicitation assignment, each student must take, select, and interpret a picture about a social issue that he/she has learned about in class. The student must then craft either a sensory poem, or answer the SHOWeD questions as designed by Shaffer and modified by Wang, which facilitates the student's interpretation of the picture. As a…

This study is focused on identifying and describing the reasoning patterns of middle grade students when examining potentially similar figures. Described here is a framework that includes 11 strategies that students used during clinical interview to differentiate similar and non-similar figures. Two factors were found to influence the strategies…

This literature review explores visualisation within the context of learning in design, engineering and technology education. The investigation first defines visualisation, providing examples of activities that utilise visualisation skills within an applied field. Then exploration of the mental mechanisms of visualisation used to engage with those…

The relevance of the investigated problem is caused by the fact that most children who start to study do not have a good level of higher mental functions. It leads to difficulties at school and health problems. The article aims at estimating the level of higher mental functions and the degree of educational motivation development among…

It is widely recognized that experience with cognitive tests can influence estimates of cognitive change. Prior research has estimated experience effects at the level of groups by comparing the performance of a group of participants tested for the second time with the performance of a different group of participants at the same age tested for the…

The students' difficulty which was found is in the problem of understanding, drawing diagrams, reading the charts correctly, conceptual formal mathematical understanding, and mathematical problem solving. The appropriate problem representation is the basic way in order to understand the problem itself and make a plan to solve it. This research was…

This paper surveys some major trends from research on visual and spatial thinking coming from cognitive science, developmental psychology, science literacy, and science studies. It explores the role of visualisation in creativity, in building mental models, and in the communication of scientific ideas, in order to place these findings in the…

Defines visualization as the product and the process of creation, interpretation, and reflection upon pictures and images. Analyzes, exemplifies, and reflects upon the many different and rich roles that it can and should play in the learning and doing of mathematics. Discusses limitations and possible sources of difficulties visualization may pose…

The author is an associate professor of animal studies at Colorado State University, but experienced learning difficulties in high school due to her place on the autism-Asperger's spectrum. She had uneven skills, and while algebra was impossible, she did well in courses in which she could use her visual-thinking and associative-thinking skills.…

Three-dimensional visualization skills are critically important to success in engineering careers. Unfortunately, studies have shown that the 3-D spatial visualization skills of women engineering students lag significantly behind those of their male counterparts. This paper examines gender differences in background and in visualization ability for…

Reports on the case study of a high school student using a computer-based tool called the Contour Analyzer to create graphs of height versus distance and slope versus distance for a flat board positioned with different slants and orientations. Focuses on visually recognizing the mathematical behavior of the slope versus distance function which…

In educational settings, computers provide specific possibilities of visualizing information for instructional purposes. Besides the use of static pictures, computers can present animated pictures which allow exploratory manipulation by the learner and display the dynamic behavior of a system. This paper develops a theoretical framework for…

Visualization as a factor of intelligence includes the mental manipulation of spatial configurations and has been associated with spatial abilities, creative thinking, and conceptual problem solving. There are numerous reports of scientists and mathematicians using visualization to anticipate transformation of the external world. Artists and…

This paper presents a historical overview of visualization as a human problem-solving tool. Visualization strategies, such as mental imagery, pervade historical accounts of scientific discovery and invention. A selected number of historical examples are presented and discussed on a wide range of topics such as physics, aviation, and the science of…