Changes to students' understanding of mathematical notation may be brought about by using technology within mathematics. Taking equality as a case study, the paper provides brief epistemological, historical, didactical, and computational reviews of its symbolic representation in pen-and-paper and technology-assisted mathematics, most especially in…

Assessments were made of the impact of various overt response modes on the problem-solving process. The Luchins Water Jar Problems were presented to undergraduate university students via interactive cathode ray tube computer terminals under four response mode conditions: Mnemonic Code, Multiple Choice (MC), Numerical List, and Constructed Response…

This study investigated the effects of solution-oriented and strategy-oriented feedback when using interactive computer-assisted instruction. The feedback confirmed problem solving strategies that were either similar to the learner's cognitive strategies (i.e., spatial strategies) or different from the learner's cognitive strategies (i.e.,…

Students with a semester or more of instruction often display remarkable naivety about the language that they have been studying and often prove unable to manage simple programming problems. The main purpose of this study was to create a set of problem-plan-program types for the BASIC programming language to help high school students build plans…

The hypothesis for this study assumed that subjects who received a diagram representing the structural relationships of a story would be more likely to solve a new and analogous problem than subjects who received two analogs without a diagram. The 151 graduate students who acted as subjects were randomly assigned to one of four treatments: one or…

Unfortunately, much of the research devoted to Logo and problem solving has not supported the claim that Logo provides an environment in which children will develop problem solving skills, but the literature suggests that direct instruction and mediated Logo programming practice can result in the acquisition and transfer of certain problem solving…

This study manipulated the timing and control of error feedback in problem solving and examined their effects on skill acquisition by 40 undergraduate students learning to program in the computer language Lisp under four error feedback conditions. These four conditions included two types of symbol-by-symbol feedback that vary in content, a…

To examine the influence of two variables--prompting versus confirmation, and verbalization--on learning, 60 high school subjects used programed instruction under six randomly assigned treatment conditions to learn to write computer programs. The rules group periodically wrote out the programing rules; the naming group subjects named the rules;…

This study investigated the cognitive benefits of learning how to program by determining the degree of cognitive transfer of programming skills at a construct level to solving analogous problems in other domains. Subjects, who were students enrolled in four sections of the beginning Pascal programming course and two sections of a calculus course,…

This study compared the efficiency (time) and accuracy of two representations of instructional algorithms--list versus flow chart--for the task of using indexes to search for document numbers in the U.S. Documents Monthly Catalog. Participants were 55 undergraduates and 5 adults at the Virginia Military Institute. Two sets (flow charts and lists)…

This paper examines the effect of using a systems thinking approach in existing secondary school curricula to teach content-specific knowledge as well as general problem solving skills, and the effect of using STELLA (Structural Thinking Experimental Learning Laboratory with Animation), a simulation-modeling software program, as a tool by which to…

A study was carried out at Pennsylvania State University to examine the effects of both textual and computer animated orienting activities--i.e., mediators through which new information is presented to the learner--and practice on the application and problem solving skills of elementary school students. It was hypothesized that students provided…

This comparison of the effects of LOGO use with the use of teacher-directed problem-solving instruction, and with conventional mathematics instruction, focused on the problem-solving ability, basic skills achievement, and attitudes of junior high school learners. Students (N=97) in five seventh grade mathematics classes were systematically…

In a teaching experiment, 16 face-to-face and 11 e-mail Finnish university students engaged in an argumentation course. The 19 students of the control group did not study argumentation. The course involved two lectures, exercises with argumentative texts, and face-to-face or e-mail seminar discussions based on these texts. The topics of the texts…

This study investigated the following research questions: (1) Does the use of a shared, intranet environment improve learner problem-solving ability in science? (2) Does the use of a shared, intranet environment increase learner metacognitive reflection? and (3) Do gender differences emerge with the use of a shared, intranet science environment…