This paper investigates the connection between the spiral teaching method and mathematical rigor in K-12 education. Defining rigor as a balanced integration of conceptual understanding, application, and procedural fluency (contrasting it with rote learning), the paper posits that the spiral approach cultivates this rigor. By revisiting…

The ability to think analytically is vital in today's world. In an era defined by rapid technological advancements, economic globalization and societal complexities, analytical thinking skills are paramount to career success. Analytical thinking has been conceptualized and defined in a variety of ways, reflecting its multifaceted nature and the…

This open access volume explores the transformative role of Research Cognitive Theory (RCT) in education, emphasizing its application in fostering curiosity, creativity, innovation, problem-solving skills, and cognitive development across all educational levels in students and professional development in teachers. Through detailed discussions on…

Current theorizing in the field of cognitive science embraces the concept that cognitive activity is not centered in the brain alone but is dependent on embodiment and the environment in which it is functioning. A key component of that environment is the presence of others. This article examines the social nature of cognitive activity from a 4E…

We share ideas for preparing for and enacting high-cognitive demand tasks in ways that support students in articulating and justifying their ideas. We offer strategies for developing and posing several types of purposeful questions: (1) eliciting thinking, (2) generating ideas, (3) clarifying explanations, and (4) justifying claims.

Student learning communities (SLCs) are more than just a different way of doing group work. Like the professional learning communities they resemble, SLCs provide students with a structured way to solve problems, share insight, and help one another continually develop new skills and expertise. With the right planning and support, dynamic…

This study sought to find student perceptions of how the engineering design process is learned and applied by pre-service teachers at the University of Georgia. The course description read "demonstration and hands-on learning, including problem solving, designing, construction and testing of prototypes, and activities that increase aesthetic,…

The paper reports observations from a 2-year investigation of teaching/learning processes as they occurred during microcomputer instruction in three special education schools. Factors in the learner and/or learning environment are analyzed for their effects on the development of problem solving strategies. Part 1 reports observations of behavior…

Explores the development of understanding of the concept of average with students from grades 3 to 9 through interviews. Observed six levels of response based on an hierarchical model of cognitive functioning. Documents usage of ideas associated with the three standard measures of central tendency and representation as strategies for problem…

Recommendations for teaching problem solving stem from a discussion of the differences in the functioning of the left and right hemispheres of a person's brain. (JT)

The article proposes a model for developing leadership among gifted students. Four components of the model are identified and sample subskills described: cognition (exploration, research); problem solving (incubation, creative thinking); interpersonal communication (self realization, cooperation, conflict resolution); and decision making skills…

This book details the findings from a research team that used cognitive principles and a large range of experiments to devise a variety of instructional designs. Their recommendations are based on 20 years of objective, published research. Although the program focused on technical subjects, the findings can easily be applied to a range of…

Presents a brief description of Adams County District 12's program to promote higher-level thinking skills in its elementary and secondary level gifted students. (SJL)

An eight-phase model of processes involved in mathematics problem solving is presented. At each phase, results from factor-analytic studies are used to suggest abilities relevant and prerequisite for successful completion of the phase. Presentation of the model is followed by a discussion of implications for teaching and research. (Author/MK)

Presented are abstracts and abstractors' analyses of four studies dealing with cognitive development, four studies dealing with attitudes, and two studies dealing with problem-solving. The cognitive development studies are: "College Chemistry and Piaget: The Relationship of Aptitude and Achievement Measures" (David Bender and Louis…