This study explores learner engagement with Advanced Computational Thinking (ACT) in the New Zealand digital curriculum. "Advanced" in ACT refers to an expansive, transdisciplinary, and future-looking understanding of computational thinking (CT). ACT promotes CT beyond narrow modes of problem-solving (abstraction, algorithmic thinking,…

This paper raises serious questions about the reliability of the learning pyramid as a guide to retention among students. The pyramid suggests that certain teaching methods are connected with a corresponding hierarchy of student retention. No specific credible research was uncovered to support the pyramid, which is loosely associated with the…

Too much classroom work is teacher-initiated, labor-intensive, abstraction-rich, and experience-lean. In contrast, science centers offer students a learner-initiated, discovery-rich opportunity to explore stimulating experiences, especially when second trips are made. Optimal learning occurs with a dynamic blending of abstract and experiential…

The learning of mathematics is presented as a cognitive process rather than as a behavioristic one. A generative model of mathematics learning is described. Learning with understanding can occur with discovery or reception treatments. Relevant empirical research is discussed and implications for teaching mathematics as a generative process are…

A model for teaching proof writing to college mathematics students is presented. The model has six phases: (1) open (understanding the theorem by reading it, listing, and writing it out); (2) brainstorm; (3) instantiate (perception of the chain of inferences linking hypothesis to conclusion); (4) convince; (5) reflect; and (6) extend. Strategies…

This study investigates the pattern of teacher questioning regarding three elements: sequence, student respondent, and cognitive process. The rationale for this type of teaching rests on the claims for teaching students the process of critical (reflective) thinking. In this type of teaching it is necessary to have data before the students. Only…

A major goal of mathematics teaching is the involvement of students in the personal process of discovering mathematical ideas and formulating problems. The process of an inductive leap followed by a deductive argument is used in mathematics courses at Phillips Exeter Academy (New Hampshire). Mathematical problems are presented in which the givens…

The achievement of bilingualism appears to have positive consequences for the bilingual child, enhancing universal aspects of cognitive functioning available to all normal children. However, little is yet known about the interaction between educational treatment and the input factors the bilingual child brings to the situation. Focusing on the…

A study in which Logo programming was used to teach problem-solving skills to fourth to eighth grade students is described. The results, and their implications for further use of the computer to teach higher order thinking skills, are discussed. The possible use of Prolog programming to teach reasoning skills is described. (JL)

The purpose of this study was to examine the effects of three instructional methods and conceptual systems orientation on achievement in a freshman general chemistry laboratory course. Traditional approach, learning cycle, and computer simulations are discussed. (KR)

Identification of the basic skills and roles in field experience education should answer the question "Can and should educators identify a set of basic skills required for effective performance in experiential learning as part of general education?" New roles required of students in using experiential learning opportunities include initiator,…

Fifty-three adolescents with learning disabilities or mild mental retardation were taught reasons for dinosaur extinction. Those taught in a mnemonic elaborative interrogation condition recalled more reasons than did students who received direct teaching. Students in elaborative interrogation and mnemonic elaborative interrogation groups recalled…

Uses small axiom systems to teach logic and reasoning to first year mathematics students. Incorporates a collaborative technique to train students to write formal arguments in a nonintimidating atmosphere by applying logic informally to small axiomatic systems. Provides examples of student-designed systems. (MDH)

Evidence for suggested basic differences in the abstract reasoning capacity of Negro and Caucasian children includes consistent findings of significantly poorer performance by Negroes on Raven's Progressive Matrices (PM). This study investigated the PM performance of Negro children taught algebra via a discovery method of instruction. It was…

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…