This paper attempts to fill some of the gaps in the literature (on reflective teaching), delving further into the meaning and functions of reflection. First, it considers the origins of the term and some aspects of its development. It then analyzes and critiques some of the current notions of reflection. Beginning the process of a more rigorous…

Discussed are inconsistencies and cognitive conflict with respect to current mathematical knowledge of students and how that knowledge might be modified is discussed. The inconsistencies that students generate for themselves and those produced by the teacher are described. (KR)

Noting evidence of continuity and progression in young children' thinking, this book explores the promotion of high-quality thinking and action in children ages 3 to 5 years. Some thoughts about children from birth to 3 years and from 5 to 8 years of age are also included as part of the discussion of continuity in teaching and learning. Throughout…

This paper describes the rationale behind and the development and utilization of a bibliographic instruction course which incorporates formal abstract reasoning skills. The limitations of the search strategy technique of bibliographic instruction are discussed as well as the fact that many college students have not developed sophisticated…

Students with or without disabilities often experience difficulties with abstract math concepts. This paper is intended to help solve the mystery of math concepts through origami construction, a hands-on activity. Students are involved in constructing and deconstructing concepts by folding and unfolding a piece of paper which eventually leads to a…

Describes the importance of learning to connect separate universes of knowledge into a coherent whole. It is a mistake to emphasize connecting schools to the Internet without considering the kinds of thinking processes students need in order to learn from the information they access. (LMI)

Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)

Discussed are the issues of inconsistencies and compartmentalization and the use of inconsistencies in the classroom. Included are discussions on paradoxes, the naive student, logical reasoning ability, and the development of the students' cognitive structures. (KR)

Discusses a system of classification for students' inconsistent ideas in mathematics, the sources of students' mathematical inconsistency, and instructional strategies for helping students to resolve apparent learning inconsistencies. Language, curriculum, and instruction are included in the discussion. (KR)

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

The development of an instructional model for teaching formal mathematical concepts (probability concepts) to disadvantaged high school students through computer programming and some results from a field test are described in this document. The instructional model takes into account both learner characteristics (cognitive, affective, and…

Discusses the use of writing to enhance learning in mathematics from a conceptual development perspective. Shuell's phases of learning are described as a general model for conceptual development and subsequently matched with Britton's categories for transactional-informative writing. Sample mathematics assignments for each writing category are…

An appraisal of medical education and college preparation for medicine was undertaken through public hearings and written submissions from 82 medical schools, 24 colleges, and 21 professional societies. Views and suggestions were provided on learning, clinical education, college preparation and admission to medical school, and faculty. It was…

This paper empirically examines one aspect of Basil Bernstein's sociolinguistic account of educational failure, a code thesis wherein a restricted code is defined as giving access only to "particularistic" meanings and an elaborated code is defined as giving access also to "universalistic" meanings. According to Bernstein,…

Based on the idea that journal writing can help students discover gaps in their knowledge and explore relationships by allowing them to reflect on what they have learned, a study examined the usefulness of expressive journal writing in a first grade mathematics program. Subjects, members of a first grade classroom involved in a…