Cross-sectional and longitudinal data from students as they advance through the middle school years (grades 6-8) reveal insights into the development of students' pattern generalization abilities. As expected, students show a preference for lower-level tasks such as "reading the data," over more distant predictions and generation of abstractions.…

A study of the effect of science teaching with a multimedia simulation on water quality, the "River of Life," on the science conceptual understanding of students (N = 83) in an undergraduate science education (K-9) course is reported. Teaching reality-based meaningful science is strongly recommended by the National Science Education Standards…

In this paper, we give a detailed account of the design principles and construction of activities designed for learning about the relationships between position, velocity and acceleration, and corresponding kinematics graphs. Our approach is model-based, that is, it focuses attention on the idea that students constructed their own models--in the…

Doubling the Number of college graduates in Kentucky by 2020 will be challenging, but it is a worthy and achievable goal, and will make a real difference in the lives and livelihoods of Kentuckians. This report, a biennial publication of the Council on Postsecondary Education, shows how every county in the state can contribute toward this goal and…

Children's mathematical misconceptions very often arise as a result of poor communication. This practical and innovative book presents a range of creative strategies to help teachers communicate effectively in the mathematics classroom, offering some new ways of presenting the fundamental concepts and principles of mathematics, and clearly…

This article describes a lesson unit in which students constructed tables and graphs to represent the growth of different trees. Students then compared the graphs to develop an understanding of slope.

Many teachers bring caterpillars into their class for their students to see the transformation from caterpillar to butterfly. This is exciting and educational, but more can be done using Monarchs across the curriculum. This article describes an integrated butterfly unit for students in grades four to six that starts with identifying the Monarch…

The What Works Clearinghouse (WWC) looked at elementary school math curricula designed to promote math knowledge and skills among elementary school students (average ages 5 to 10 years). Curricula included in this review are replicable, materials-based instructional programs that cover one or more of the following content areas: numbers,…

This paper discusses a research study that focused on middle grades students' abilities to read and to move between different graphical representations before and after instruction. The data analyzed were collected from a group of 76 sixth grade students who were in 3 different mathematics classes in a middle school located in central North…

The typical path of instruction in high school algebra courses for the study of polynomial functions has been from linear functions, to quadratic functions, to polynomial functions of degree greater than two. This paper reports results of clinical interviews with an Algebra II student. The interviews were used to probe into the student's…

This book contains 40 lessons in problem solving divided into five chapters. Chapter 1 contains several lessons in which solutions are derived through investigation of numerical patterns. Chapter 2 contains lessons in which problem-solving situations are presented in a graphical context. It also includes two lessons in which students construct…

Information graphics or diagrams are two-dimensional maps of relationships that present information. Creators and interpreters of diagrams need to know what makes some diagrams more effective in communicating information. This paper suggests a theoretical framework for diagram classification to make this possible. This framework consists of two…

The statistical analysis of data from a single-subject design is somewhat controversial. The procedure most often chosen to examine data from a single-subject design involves the visual inspection of the graphed outcome variable over time. Problems associated with this procedure are discussed, and questions about the use of traditional statistical…

Outlines a teaching method using graphs for explaining phase changes and the effect of pressure and the relationships between temperature, entropy, enthalpy, energy, Gibbs function, Helmholtz function and volume. (GS)

Library directors at 164 universities, colleges, and community colleges in California were surveyed in fall 1986 on their hiring of temporary librarians over 5 fiscal years, 1982-83 through 1986-87. The response rate was 90%. Results indicated that: (1) all types of academic libraries employ temporary librarians; (2) the number of temporary…