There has been considerable interest in mathematical understanding. Both those attempting to build, and those questioning the possibility of building intelligent artificial tutoring systems, struggle with the notions of mathematical understanding. The purpose of this essay is to show a transcendently recursive theory of mathematical understanding…

The purpose of this study was to investigate the effect of an eclectic thinking processes model on the logical reasoning abilities of students in grades six through twelve. The experimental school consisted of 159 students whereas the control school had 111 students. The Group Assessment of Logical Thinking (GALT) was administered to the sample as…

To what extent and in what ways do issues about content and the teaching and learning of content figure in the conversations between novices and their mentors? This paper explores that question by means of four cases drawn from a large data set about two different first-year teacher programs, an induction program sponsored by a university and a…

Learning modules offer the advantage of improved student knowledge through demonstrated competence with the instructional materials. Separate lessons are delivered with quizzes available after each lesson. Multiple quiz forms are necessary. When the students believes he is prepared, the student requests and takes the quiz. A standard level of…

Studies show that metacognitive strategies can increase learning skills and that independent use of these metacognitive strategies can be gradually developed in people. The school library media center is the ideal place for students to learn how to develop metacognitive strategies; that is, they can learn how to connect new information to former…

Eleven participants from six countries (Indonesia, Malaysia, Nepal, Philippines, Thailand, and the Republic of Korea) participated in the UNESCO regional workshop which is the subject of this report. The four objectives of the workshop were to: (1) review and exchange experiences on research and pilot studies to improve teaching/learning…

This article discusses the use of demonstration in teacher education programs, emphasizing demonstration's potential in teacher preparation and staff development programs, and detailing the practical problems associated with its use. Demonstrations serve: (1) to illustrate teacher instructional behaviors or thinking and decision processes related…

This report examines whether cooperative learning can be used to promote individual achievement, and identifies conditions under which a benefit can be expected. Two experiments were conducted at the Quartermaster School, Fort Lee, Virginia. The first experiment compared test performance of 280 trainees after they had completed practical exercises…

The educational "Reports" of the 1980's are demanding change in the schools and change in the way we prepare teachers. Perhaps a marriage between some industrial practices and some education strategies is now appropriate since both are in the informational age. For the first time in history, industry has many personnel who do not physically touch…

Different language sample elicitation techniques may be appropriate for different linguistic phenomena and for learners at different phases of acquisition. These techniques include elicited production, manipulation of given linguistic material (sentence combining, sentence completion), intuition and grammaticality judgment tests, introspection,…

Formal and functional similarities in a learner's first and second languages (L1 and L2) facilitate the perception of cross-linguistic equivalence between individual items (phonemes, morphemes, words, and phrases). The beginning foreign language learner makes frequent use of these perceived equivalences when he learns to understand L2 items. This…

Based on the notion that teaching vocabulary extension in isolation makes little impact on students, a three-part exercise, designed to develop students' vocabulary through poetry while providing meaningful enjoyment, uses the poem "The Hawk" by A. C. Benson. In the first class period, students are introduced to both the exercise and the poem and…

Human capacity for language acquisition is not strictly compartmentalized, with one acquisitional mechanism for the native language and others totally unrelated to it; rather, it consists of a unified mechanism flexible enough to handle various differences in external settings. This learning system operates on the formal properties of the…

In this study 27 third graders and 27 sixth graders were given varying degrees of practice in sorting salient, categorized word lists. The purpose of the practice conditions was to encourage different levels of grouping strategies in a subsequent free recall task using similar categorized materials. Children in a Materials Only condition were…

A study examined the efficacy of the keyword method of vocabulary instruction by comparing it with five methods designed to increase semantic processing of the definitions of the vocabulary words. Subjects in all five experiments were college students. In the first three experiments, recall of the definitions from the vocabulary words was the…