In this paper, we offer a novel framework for analyzing the Opportunities for Reasoning-and-Proving (ORP) in mathematical tasks. By drawing upon some tenets of the commognitive framework, we conceptualize learning and teaching mathematics via reasoning and proving both as enacting reasoning processes (e.g., conjecturing, justifying) in the…

Offering online courses can be seen as a way of enhancing the three essential "presences" (teaching, cognitive, and social) of the Community of Inquiry (CoI) model. Creating and enhancing cognitive, teaching, and social presences require an innovation for teachers during planning, implementing, and evaluating their online courses. As…

This article discusses how cooperative learning as a socioinstructional approach, relates to both socially-based emerging technologies (i.e. Web 2.0) and to critical thinking with respect to co-cognition. It begins with a discussion of the importance of connecting cooperative learning, Web 2.0, and critical thinking. This is followed by the need…

This article examines the psychoanalytic concepts of object-relations theorist Christopher Bollas, applying them to a view of the Bible as "transformational object." Emphasizing the connection between psychological process and religious experience, this article suggests that each person's innate ability to choose and use objects is a key…

The Innovative Teaching for Effective Learning (ITEL) Teacher Knowledge Survey is the first international study to explore the nature, function and development of teachers' pedagogical knowledge, i.e. what teachers know about teaching and learning. In-service and pre-service teachers exhibited higher knowledge on the classroom management portion…

Multiple intelligence is the theory that "people are smart in more ways than one has immense implication for educators". Howard Gardner proposed a new view of intelligence that is rapidly being incorporated in school curricula. In his theory of Multiple Intelligences, Gardner expanded the concept of intelligence with such areas as music,…

Students in this post-industrial technological age require opportunities for the acquisition of new skills, especially in the marketplace of innovation. A pedagogical strategy that is becoming more and more popular within social studies classrooms is the use of computer and video games as enhancements to everyday lesson plans. Computer/video games…

The overall aim of this article is to introduce case teaching to college professors who may wish to increase their students' level of engagement with science, mathematics, and engineering. Case teaching is an incredibly adaptable instructional method able to involve students in higher levels of cognitive processing. The explicit purposes of this…

One of the most controversial issues in foreign language (FL) teaching is the age at which language learning should start. Nowadays it is recognized that in second language contexts maturational constraints make an early start advisable, but there is still disagreement regarding the problem of when to start or the best way to learn in foreign…

Drawing on the exam responses from a graduate teacher education course, this paper analyzes four general difficulties teachers have in implementing inductive teaching methods. Based on Piaget's model of how children learn, inductive teaching is an instructional methodology that begins with concrete instances of a concept, and encourages learners…