Two experiments were conducted to test the hypothesis that toddlers have access to an analog-magnitude number representation that supports numerical reasoning about relatively large numbers. Three-year-olds were presented with subtraction problems in which initial set size and proportions subtracted were systematically varied. Two sets of cookies…

Induction, properly understood, is not merely a game, nor is it a gimmick, nor is it an artificial way of explaining an element of reasoning. Proper understanding of inductive reasoning--and the various types of reasoning that the authors term inductive--enables the student to evaluate critically other people's writing and enhances the composition…

A common denominator for the induction of morphological and functional plasticity in cultured hippocampal neurons involves the activation of excitatory synapses. We now demonstrate massive morphological plasticity in mature cultured hippocampal neurons caused by a brief exposure to glutamate. This plasticity involves a slow, 70%-80% increase in…

Two studies examined conditional reasoning with false premises. In Study 1, 12- and 16-year-old adolescents made "if-then" inferences after producing an alternative antecedent for the major premise. Older participants made more errors on the simple modus ponens inference than did younger ones. Reasoning with a false premise reduced this effect.…

The "Mathematical Lens" feature of "Mathematics Teacher," uses photographs as a springboard for mathematical inquiry. The goal of this feature is to encourage readers to see patterns and relationships that they can think about and extend in a mathematically playful way. In this edition of "Mathematical Lens," students analyze the shapes in an iron…

The purpose of the study was to investigate the effects of inquiry-based computer simulation with heterogeneous-ability cooperative learning (HACL) and inquiry-based computer simulation with friendship cooperative learning (FCL) on (a) scientific reasoning (SR) and (b) conceptual understanding (CU) among Form Four students in Malaysian Smart…

This research study was originally commissioned by ESCalate as part of its agenda for developing induction support for pre-service teacher educators in England. The study aimed to collect examples of the practices used by Higher Education Institutions in inducting new teacher educators and to analyse induction provision from the perspectives of a…

In previous chapters, student teachers' views and the use of model-based instruction (MBI) were determined to be largely positive. But do these positive attitudes and the actual use of MBI continue after completing a teacher education program? Many novice teachers experience "washout" when the attitudes and instructional practices they…

Within the context of a mathematics reform effort to implement algebra in elementary schools, there is a pressure to provide results in the form of student achievement scores. However, widely-used measures of student achievement may be unrelated to the ideas and instructional practices encouraged by the reform effort. The inappropriate use of…

Students' mathematical lives are characterized not only by a set of mathematical ideas and the engagement in mathematical thinking, but also by social relations, specifically, relations of authority. Watching student actions and speaking to students, one becomes cognizant of a "web of authority" ever present in mathematics classrooms. In…

This paper describes an ongoing EU project concerned with developing an instructional design framework for virtual classes (VC) that is based on the theory of Multiple Intelligences (MI) (1983). The psychological theory of Multiple Intelligences (Gardner 1983) has received much credence within instructional design since its inception and has been…

There is a paradox at the centre of a substantial amount of writing on the topic of leadership in organizations, particularly school leadership. On the one hand, there is what may be called a common-sense consensus that leadership is vitally important as a cause for setting and achieving organizational goals. Yet, on the other hand, an impressive…

Oscillating chemical reactions are truly spectacular phenomena, and demonstrations are always appreciated by the class. However, explaining such reactions to high school or first-year university students is problematic, because it may seem that no acceptable explanation is possible unless the students have profound knowledge of both physical…

Although clean, potable groundwater constitutes one of our most valuable resources, few students or science educators hold complete and appropriate understandings regarding the concept. Recent studies that focus on secondary students' and preservice science teachers' understandings of groundwater found little difference between the groups'…

The process of developing concepts of time continues from age 5 to 11 years (Zakay, 1998). This study sought the representation mode in which children could best express time concepts, especially the proper arrangement of events in a logical and temporal order. Usually, temporal order is examined and taught by 2D (2-dimensional) pictorial scripts.…