The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods…

Probabilistic reasoning underpins much of middle school students' future work in data analysis and inferential statistics. Unfortunately for many middle school students, probabilistic reasoning is not intuitive. One specific area in which students seem to struggle is determining the probability of compound events (Moritz and Watson 2000). Research…

This is an educational psychology book that focuses on human development, the human being, teaching, and learning. It is appropriate for preservice teachers who are seeking to comprehend essential theories and concepts in educational psychology. It is also appropriate for practicing teachers who want to understand and apply these theories and…

"Transcendentalism" refers to philosophical, religious, and literary beliefs held by Ralph Waldo Emerson, Henry David Thoreau, Margaret Fuller, Amos Bronson Alcott, and other writers in New England during the 1830s and 1840s. Emerson believed in the significance of one's intuition and individuality. He expresses these beliefs in his…

Children's intuitive understandings of mathematical ideas--both correct, generalizable strategies alongside misconceptions--showcase the complexity of their thinking. However, recognizing children as complex thinkers is one thing but it is another thing altogether to leverage their ideas to plan for and carry out mathematics instruction. The…

Guessing, for Pólya, is an important way of getting an initial handle on a mathematical problem. An argument can be made to place guessing in any one of the first three steps of the four-step approach to problem solving as described in "How to Solve It" (Pólya 1945). It could be a part of understanding the problem, devising a plan, or…

Concern over increased childhood obesity has spurred various school-based interventions. However, these interventions often have little positive effect and may inadvertently contribute to unhealthy behaviors during weight loss attempts. Indeed, a general emphasis on appearance and weight (rather than health) can promote eating disordered…

This article describes an assessment activity that can show students how much they intuitively understand about statistics, but also alert them to common misunderstandings. How the activity can be used formatively to help improve students' conceptual understanding of analysis of variance is discussed. (Contains 1 figure and 1 table.)

It is widely agreed that ethics teaching should have an important role in Information Systems (IS) teaching. Yet, there are no studies exploring how students apply theories of ethics in their decision-making. This is unfortunate, because teaching ethics is of little practical use if the students do not utilise the acquired knowledge in practice.…

"Teaching Kids to Change the World: Lessons to Inspire Social Responsibility for Grades 6-12," by Jennifer Griffin-Wiesner and Chris Maser, is a practical guide that provides educators with the essential tools to inspire young people to change the world for the better. Focusing on eight principles of change, it includes lessons, examples and…

Discards the blinders that have hampered the traditional teaching of calculus and reexamines some of the intuitive ideas that underlie this subject matter. Analyzes the various indeterminate forms that arise through the blind application of algebraic operations. (Author/ASK)

Follows up in more detail a previous interview-based study in which were outlined some features of a mathematicians' views and research practices on what interviewees had to say about the topic of intuition. Concludes that intuition, insight, or instinct was seen by most of the 70 mathematicians interviewed as a necessary component for developing…

This writing describes a literacy project between preservice teachers enrolled in a small university in Montana and an inner city school classroom in Kansas. It shows how the preservice teachers and children negotiate meaning at the beginning of the project as well as what the preservice teachers were learning from the children and from their…

Describes a classroom activity featuring a simple stay-switch probability game. Contends that the exercise helps students see the importance of empirically validating beliefs. Includes full instructions for conducting and discussing the exercise. (CFR)