In its mathematics standards, National Council of Teachers of Mathematics (NCTM) states that problem solving is an integral part of all mathematics learning and exposure to problem solving strategies should be embedded across the curriculum. Furthermore, by high school, students should be able to use, decide and invent a wide range of strategies.…

A large body of research has shown that for novice learners, instruction that relies more heavily on worked examples than on problem solving, is more effective for learning as shown by higher test performance. Moreover, this beneficial effect is often obtained with less acquisition time and lower cognitive load during acquisition and test phase.…

Instruction is the most important variable in special education, but it is often overlooked. Special instruction is what makes special education work, yet it is often neglected. We need to know more about how to teach both academic and behavioral skills more effectively, how behavioral and academic skills are interrelated, and how to choose those…

The primary purpose of this study was to assess the effects of strategic counting instruction, with and without deliberate practice with those counting strategies, on number combination (NC) skill among students with mathematics difficulties (MD). Students (n = 150) were stratified on MD status (i.e., MD alone versus MD with reading difficulty)…

In the middle years of school, it is important that mathematics is challenging, engaging and focuses on worthwhile mathematics. In this article, Anne Roche describes a lesson that seemed to have all three of these characteristics, as students grappled with issues of scale to create a fun run, given a range of challenging mathematical constraints.…

With over 150 years of history, social pedagogy is both an interdisciplinary scholarly field of inquiry and a field of practice that is situated in the intersection of three areas of human activity: education, social work and community development. Although social pedagogy has different emphases and approaches depending on particular historical…

The results of international comparative studies have shown that relationships exist between metacognition and cognitive activation and learning success. Since 2007 we have been carrying out projects in Indonesia to improve cognitive and metacognitive activities of pupils of year 7 and their teachers. These activities are to contribute to the…

Research on expertise suggests that a critical aspect of expert understanding is knowledge of the relations between domain principles and problem features. We investigated two instructional pathways hypothesized to facilitate students' learning of these relations when studying worked examples. The first path is through self-explaining how…

Scholars have noted PBL is consistent with John Dewey's educational theories and with constructivist philosophies. This paper explores the similarities between the assumptions within Howard Barrows' principles for the PBL tutor's actions with Dewey's theories that address teacher behaviors and with Carl Rogers's conceptual frameworks that support…

As a secondary mathematics teacher, I used practitioner action research to determine effective ways to intervene with students working in groups, with the goal of improving their communication. Utilising transcripts of group interactions and teacher interventions, field notes, and student feedback, I discovered ten different issues that prevent…

Cognitively demanding tasks (CDT) (Stein et al. 2000) are necessary for the development of students' mathematical reasoning skills. Research is unequivocal on the importance of giving students opportunities to engage in such tasks. Although current reform efforts call for mathematics learning for "all" students, learners who…

Case studies provide two views of adaptive expertise in teaching by analyzing the written reflections of teachers working in a reading clinic. David, with 20?years of experience, described adaptive judgments he made after careful description, data gathering, and analysis of students' responses that allowed him to form hypotheses and craft…

The purpose of this study was to examine the effect of case studies on learning outcomes, attitudes toward instructions, and team shared mental models (SMM) in a team-based learning environment in an undergraduate educational psychology course. Approximately 105 students who participated in this study were randomly assigned to either a case-study…

This study investigates the application of new educational technologies in geography classes. The research involved 126 students from vocational secondary schools in Serbia taking geography as a compulsory subject. We developed and applied a questionnaire for this research. The results indicate that out of several ICTs available, the majority of…

The implicit theories teachers hold about the gifted influence their perception of and behavior toward highly able students, thus impacting the latter's educational opportunities. Two persistent stereotypes about the gifted can be distinguished: the harmony hypothesis (gifted students are superior in almost all domains) and the disharmony…