This book is a compilation of tools, techniques and frameworks for use in the field of entrepreneurship and innovation (E&I) education. Developed and honed over the past two decades, these teaching approaches are combined with well-versed practical insight. As professors know all too well, the human brain cannot articulate more than three or…

In "Making Sense of Math," Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: (1) Making sense of math by fostering habits of mind that…

Seeking more effective mathematics instruction, this author decided to incorporate Cognitively Guided Instruction (CGI) into first-grade classroom lessons. Students in CGI mathematics classrooms are prompted to use their prior knowledge to solve new problems, establish cognitive structures to which new learning can be connected, and be driven by…

The purpose of this study was to develop a procedure for the evaluation of M-demand of chemistry problems. It was shown that dimensional analysis upon the Neo-Piagetian theory of Pascual-Leone could help science teachers to understand the epistemological basis of their discipline. (CW)

Presents study results suggesting some malleability in learning strategies that flow from cognitive style. Examines the effects and practicability of restructuring training as a means of addressing individual learner differences. Reports that training enhanced performance on two dependent measures tasks. Concludes that field-dependent learners…

Compares 7 biology faculty members, 9 genetic counselors, and 26 undergraduate students according to both expertise and problem-solving success within the domain of genetics. Findings are consistent with the hypothesis that as expertise is attained, the individual restructures knowledge into a framework based upon the critical dimensions which…

There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and…

Student comments about having time in class to think and solve problems are presented. Stressed are teaching methods which allow students to familiarize themselves with the problem, think about solution processes, work through the solution process, and reflect while solving a problem. (CW)

This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…

Presents two cognitive models that illustrate the commonalities between reading for meaning and solving mathematical problems with meaning. Discusses the importance of number sense in the prior knowledge component of the solving with meaning model and the implications of the models in teaching mathematics. (MDH)

Described are the use of two different tests designed to test for selected inquiry skills. Procedures, tests used, and results in several different countries are presented. Implications for classroom instruction are discussed. (CW)

States that constructivism is a theory of knowledge which asserts that knowledge is not primarily received, but actively built, and that the function of cognition is adaptive and serves the organization of the experiential world. Gives a brief history and discusses impact of the constructivist approach. (RT)

Presents two teaching ideas for mathematics instruction. The first employs "mind maps" as a method to help students learn, record, and recall mathematical information. Provides examples for solving quadratic equations and complex numbers. The second discusses two ways to find the average speed during a trip employing differing constant…

This paper is based on the idea that designing a knowledge representation for an intelligent physics computer tutoring system depends, in part, on the target behavior anticipated from the student. In addition, the document distinguishes between qualitative and quantitative competence in physics. These competencies are illustrated through questions…

The importance of instructing gifted students in correlational reasoning is emphasized, with attention to what the skill involves and why it is difficult to learn; effective teaching strategies; and successful programs in whole-class, cooperative-learning, and computer formats. Implications in programming for gifted students are discussed. (SW)