This article aims to propose a digital version of Darwazeh's learning taxonomy. The DLT consists of 10 cognitive processes sequenced hierarchical from simple to complex either vertically from one mental process to another, or horizontally in each mental process. These cognitive processes are facts' remembrance, generalities' remembrance,…

The aim of this research is to characterize profiles of the teaching competence "noticing students' mathematical thinking" in the context of the pattern generalization. Prospective primary teachers were asked to describe and interpret the answers of three primary students to three linear pattern generalization problems. Five profiles for…

Preliminary research shows promise for the use of supported electronic text (eText) combined with explicit instruction in facilitating comprehension for students with intellectual disability. Researchers used a multiple probe across participants design to evaluate effects of supported eText including explicit instruction on measures of vocabulary,…

In many mathematics classrooms, the teacher provides "worked examples" to demonstrate how students should perform certain algorithms or processes. Some students find it difficult to generalize from the examples that teachers provide and cannot apply what they have learned in new situations (Watson and Mason 2002). Instead, teachers might…

This article focuses on the ways in which four eighth-grade girls, each with varying levels of algebraic understanding, share ideas, debate, and gradually move toward generalizations inherent in the "Painted Cube" problem. The intent of this article is to examine how students move to progressive formalization and to provide insights into the ways…

Many students with disabilities continue to struggle with understanding what mathematics means. They memorize basic facts or step-by-step mathematical procedures without understanding the underlying concepts related to the problems. Thus, instruction designed to help students understand the meaning of the mathematics that they are learning in…

Previous research has reported instances in which some two-year-olds failed to overextend in comprehension what they overextended in use. Fremgen and Fay found no instance of overextension in comprehension in separate experiments. From this Fremgen and Fay conclude children never overextend in comprehension. This conclusion is re-evaluated here.…

This paper demonstrates a method for constructing long variables using items that elicit partically correct responses across ages. Long variables may be defined by students at different ages (year levels) attempting common items within a test containing other items considered to be appropriate for each age or year level. A developmental model of…

Effects of object training and photograph training on comprehension of category labels by 10 severely mentally retarded children and adolescents were explored. Results indicated that acquisition and transfer did not differ, yet generalization was significantly more accurate with objects than with photographs. Futhermore, generalization was…

Linguistic and cognitive competencies of preschoolers were revealed by interviewing them about routine activities. It was found that freeing preschoolers' speech from constraints inherent in talking about the immediate context results in their demonstrating control over a variety of language-related skills that are generally assumed to be beyond…

This study investigated the effects of K. J. Klauer's (1989) inductive reasoning training program of teaching children. Effects of training and the range of transfer of the training were assessed. The subjects were 34 third-grade Dutch children of average ability, matched on age, sex, and IQ. Children from the training condition (N=17) received…

Preschoolers' ability to understand grammatical relations in passives and to generalize was studied using animate referents. Three- to five-year-old children were taught to produce passive sentence descriptions of events in which animacy of the actor and acted-on object were varied. After pretesting to determine passive sentence comprehension, the…

Defines a generalization as "a descriptive statement of broad application indicating a relationship between two or more concepts." Argues that successful teaching about generalizations can only occur when students understand the relationship between concepts and facts. Discusses four issues and four approaches related to teaching…