From Concrete to Abstract: Teaching for Transfer of Learning when Using Manipulatives

One of the most important uses of manipulatives in a classroom is to aid a learner to make connection from tangible concrete object to its abstraction. In this paper we discuss how teacher educators can foster deeper understanding of how manipulatives facilitate student learning of math concepts by emphasizing the connection between concrete objects and math symbolization with, preservice elementary teachers, the future implementers of knowledge. We provide an example and a model, with specific steps of how teacher educators can effectively demonstrate connections between concrete objects and abstract math concepts.

Preservice Teacher Preparation in Meeting the Needs of Gifted and Other Academically Diverse Students

The issue of how to respond to the diverse academic needs of students is one of the central challenges of teaching. This project studied how preservice teachers develop an awareness of the needs of academically diverse learners and how they intend to implement and/or modify instruction to meet those needs. Participants all came from one university. As part of the design of the study, the participants were surveyed to investigate (a) their attitudes and beliefs towards academically diverse learners; (b) the teaching practices they would utilize in response to academic diversity in their classrooms; and (c) the confidence they have in their abilities to identify and address these various needs in their classrooms. Several strategies including activities to enhance creativity, cooperative learning, individual instruction, problem-solving activities, and projects were considered noteworthy for the ratings by the preservice teachers as appropriate for all students. Small differences were found based on the preservice teachers' year of placement in the School of Education, indicating that as students progress through this program, they may learn more about different techniques and when and for whom they are appropriate; however, differences across groups were not statistically significant. Results also indicated that across the different years in the program, preservice teachers did not have very high or very low confidence in addressing these issues in their own classrooms. Each grouping fell around the middle level of confidence.

Learning about Self Far From Home: A Pre-service Teacher’s Intercultural Development During an International Program

Preparing teachers to effectively teach culturally diverse students, teacher educators advocate for the use of cross-cultural field experiences, including international study abroad programs. This paper reports on a qualitative case study of two pre-service teachers’ intercultural development during a semester-long teacher education study abroad program in London, England. Findings indicate that international experiences provide a catalyst to move pre-service teachers forward in their intercultural development. Implications include the need for multicultural teacher educators to take a developmental approach to pre-service teacher education informed by theories of intercultural development and cultural learning developed within intercultural communications.