Variability stands in the heart of statistics theory and practice. Concepts and judgments involved in comparing groups have been found to be a productive vehicle for motivating learners to reason statistically and are critical for building the intuitive foundation for inferential reasoning. The focus in this paper is on the emergence of beginners'…

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…

Most restructuring efforts focus on changing the "how" of education. The articles in this book argue that redesign of the curriculum--the "what" of education--should be the main component of school revisioning. The book proposes a new framework for learning communities that views life as an intellectual and personal quest for knowledge and…

Developmental changes in the understanding and use of the logic of experimental control were addressed with three tasks in a longitudinal study. In all three tasks, understanding of experimental control was assessed by production measures (children were asked to test potential causal relations in a multivariable situation) and by choice/evaluation…

Originally developed in an elementary science program called the Science Curriculum Improvement Study, the learning cycle (LC) teaching approach involves students in an active learning process modeled on four elements of Jean Piaget's theory of cognitive development: physical experience, referring to the biological growth of the central nervous…

Project META (Metacognitive Enhancing Teaching Activities) is a 3-year naturalistic case study designed to explicitly enhance the metacognitive capabilities of learners in order to illuminate the nature of metacognitive interactions among elementary students and to describe the impact this type of enhancement has on the formation of students'…

A theory of how people learn certain procedural skills is presented. It is based on the idea that the teaching and learning that goes on in a classroom is like an ordinary conversation. The speaker (teacher) compresses a non-linear knowledge structure (the target procedure) into a linear sequence of utterances (lessons). The listener (student)…

It is generally accepted that mathematical reasoning, like language acquisition, is part of normal cognitive development. This paper proposes that other variables must be considered when explaining the differences in the acquisition of mathematical reasoning skills in young children. Considered is some of the evidence that suggests that certain…

Research summarized here demonstrates how similarity thinking can be used in training programs to help ethnic minority children acquire basic skills. Current achievements are often attenuated by poor language skills, especially when English is not the first language of the child. Similarity thinking assesses the child's ability to learn without…

Four similarities between reading and writing and their corresponding instructional significance are examined in this literature review. Each of the four reviewed topics is prefaced by general instructional suggestions based on research cited in the review. Topics and suggestions are as follows: (1) linguistic--whenever possible, the processes of…

The objectives of this study were to: (1) develop a working model based on Pierre van Hiele and Dina van Hiele-Geldof's five levels of thought development in geometry; (2) characterize the thinking in geometry of sixth (N=16) and ninth (N=16) graders in terms of these levels (examining at what level they are at, if they show potential for progress…

Sixteen third grade students, 16 college students, and 16 older adults performed a lexical decision (word-nonword) task to determine age-related differences in the magnitude of contextual priming effects. Context length and target quality (intact versus degraded) were within subject manipulations. A significant Age X Context Length X…

This issue of "Investigations in Mathematics Education" contains: (1) 12 abstracts of research studies in mathematics education; (2) a list (by EJ number) of mathematics education research studies reported in the July-to-December 1984 issues of "Current Index to Journals in Education" (CIJE); and (3) a list (by ED number) of…

A developmental investigation of the ability to control variables was conducted. One or two logically similar physics problems were individually administered to 120 subjects age 12 to 14. The problems involved either familiar or unfamiliar variables. Each problem was presented in three different informational formats. Success on the problems in…

An attempt to train concrete operational fifth-grade students (N=32) and seventh-grade students (N=32) to perform at the formal operational level on tasks demanding the control of variables are reported. The training was conducted in four individual sessions of approximately 30 minutes each. The training sessions were designed to represent a…