Instructional tips help educators carry out recommendations contained in IES Educator's Practice Guides. The tips translate these recommendations into actionable approaches that educators can try in their classrooms. These tips are based on a practice guide authored by Sybilla Beckmann, Mark Driscoll, Megan Franke, Patricia Herzig, Asha Jitendra,…

Instructional tips help educators carry out recommendations contained in IES Educator's Practice Guides. This summary describes the research evidence that supports the use of the instructional tips in classrooms and is based on a practice guide authored by Sybilla Beckmann, Mark Driscoll, Megan Franke, Patricia Herzig, Asha Jitendra, Kenneth R.…

Fourth graders (n=204) and seventh graders (n=185) were given a prior-knowledge inventory, a graph test, and reading and achievement tests during four testing sessions. Significant predictors for graph comprehension were identified for both grade four and grade seven students. The results suggest that children should be involved in graphing…

Prior research on problem solving is discussed, followed by a review of research on mental processes, intellectual development, information processing, mental images, and conceptual imagery. Then four intact fourth grade classes of 23 pupils each were assigned to a 2 x 2 factorial design. One factor was the type of instruction (Method A and Method…

A list of heuristics for elementary school children is provided. Two examples which are viewed to demonstrate the conscientious and creative use of problem-solving strategies by fourth graders are detailed. Suggestions for teachers on how to help pupils develop their problem-solving abilities are included. (MP)

Described are children's strategies in thinking about fraction order and equivalence. The data are based on two teaching experiments with fourth and fifth-grade children. Some sample activities for teaching order and equivalence are included. (RH)

How multiplication is usually taught in school and how it could be taught are discussed. Development of understanding is illustrated through children's words and work. (MNS)

Presents two vignettes of mathematics lessons and describes fourth-grade students' discussions of fractions, percents, decimals, time, and money while investigating the various interpretations of the word "quarter." (ASK)

Investigated were differences in learning styles, as measured by the Learning Style Inventory, in fourth, fifth, and sixth grade students achieving at high, low, and average levels. Results indicated students do not learn in the same manner and manifest significant variations in how they prefer to learn. (RH)

Uses the children's book, "The Rajah's Rice: A Mathematical Folktale from India," as the basis for grade-four activities involving doubling and powers of two. (MKR)

A two-year study was conducted with fourth-grade children in the context of extensive teaching experiments concerned with the learning of rational number concepts. Representational difficulties in using the number line model were investigated. While instruction in the second year attempted to resolve observed learning difficulties, the results of…

A project to tempt students to pose questions, state hypotheses, measure, estimate, compute, and evaluate their answers in terms of a problem they can see and manipulate is described. Selecting landmarks, collecting data, developing a blueprint, interior decoration, and fabrication are among the points discussed. (MNS)

The way that fractions are taught to fourth-grade pupils at the Village Community School in New York City is detailed. The approach is thought to make the often frightening symbols of fractions into something that even beginning students find meaningful. Meaning rather than computational technique is emphasized. (MP)

Describes a problem formulated by fourth-grade students about having more pizza for lunch, and the clarifying, predicting, modeling, simulating, comparing, and extending activities that occurred in addressing the problem from a probabilistic perspective. (MKR)

This document is the answer key for level 4 of the teacher-developed mathematics curriculum for New York City schools. Approximately 235 performance objectives are listed, with reference to the appropriate worksheet(s) for each. The answers are typed in the appropriate space on each sheet; when varied answers are possible, this is noted. (MNS)