Controlling complexity through the use of abstractions is a critical part of problem solving in programming. Thus, becoming proficient with procedural and data abstraction through the use of user-defined functions is important. Properly using functions for abstraction involves a number of other core concepts, such as parameter passing, scope and…

Computational Thinking (CT) has recently been addressed as one of the key skills for the twenty-first century. Integrating CT into different subject areas of K-12 education is also now widely accepted to improve the quality of instruction. In that sense, it is important to enable educators and researchers to recognize how to integrate…

There are relatively few studies in Australia and South-East Asian region that combine investigating models of math growth trajectories with predictors such as reasoning ability and reading comprehension skills. Math achievement is one of the major components of overall academic achievement and it is important to determine what factors (especially…

Although students' difficulties in developing and understanding proofs in mathematics is well documented, less is known about how students' example use may support their proof practices, particularly at the middle school level. Research on example use suggests that strategic thinking with examples could play an important role in exploring…

Changes in the demands posed by increasingly complex workplaces in the 21st century have raised the importance of nonroutine skills such as complex problem solving (CPS). However, little is known about the antecedents and outcomes of CPS, especially with regard to malleable external factors such as classroom climate. To investigate the relations…

Experiment to determine whether the use of realistic materials would improve performance in a deceptive reasoning problem. (Authors)

This experiment investigated performance on a reasoning task in which the subjects had to say which of four half-hidden cards they needed to see fully in order to determine the truth or falsity of a conditional sentence. (Authors)

Two experiments are reported on the effect of negation on reasoning with conditional rules. (Author)

WRITTEN TO IMPLEMENT THE PRINCIPLES SET FORTH IN "DESIGN FOR THINKING" (SEE TE 000 457.), THIS BOOK DEALS WITH WORDS AS TOOLS OF THOUGHT AND WITH THE PROBLEM-SOLVING FUNCTION OF LANGUAGE. CHAPTERS ARE ON (1) QUALIFICATION, CLASSIFICATION, AND ABSTRACTION, (2) SIGNS, REPRESENTATIONS, SYMBOLS, AND MATRICES, (3) ANALYSIS (BY CLASSIFICATION,…

Suggests that secondary school students seem to have reasonably good procedural knowledge in areas of mathematics as rational numbers, probability, measurement, and data organization and interpretation. It appears, however, that students are lacking the conceptual knowledge enabling them to successfully do the assessment items on applications,…

Evaluation is an act of persuasion directed to a specific audience concerning the solution of a problem. The process of evaluation is prescribed by the nature of knowledge--which is generally complex, always uncertain (in varying degrees), and not always propositional--and by the nature of logic, which is always selective. In the process of…