A study compared the effects of immediate self-correction, delayed self-correction, and no correction on the acquisition and maintenance of multiplication facts by a fourth-grade student with learning disabilities. Results indicate that both correct response rate and accuracy were higher when self-corrections were immediate rather than delayed or…

Students better understand problem solving when the basis for the problems are real-life situations. This book, geared for grades 4-8, offers multi-step, real-life problems to encourage students to think flexibly, creatively, and analytically about problem solving. It includes ideas for setting up a problem-solving classroom and assessment…

Many mainstreamed students with limited English proficiency continue to face the difficulty of learning English as a second language (ESL) while studying mathematics and other content areas framed in the language of native speakers. The difficulty these students often encounter in mathematics classes and their poor performance on subsequent…

At issue in this study was the extent to which large numbers of classroom teachers were able to implement research-based materials with a minimum of inservice education. Also at issue was whether students of these teachers were able to develop the rich mental images for fractions similar to the ones students from previous Rational Number Project…

Considering teachers' thinking about a specific mathematical topic allows one to better understand the broader domain of teachers' mathematical thinking and its influence on teaching and learning. This paper explores the meanings and understandings communicated by one middle school mathematics teacher about mathematics and mathematics teaching in…

In this unit of the Seeing and Thinking Mathematically series, students use geometry to analyze buildings from around the world, design and build their own house models, create plans for their designs, and build from each other's plans. Students start out the unit building with cubes and later move to other geometric shapes. As they learn to…

This book presents a numerical problem-solving environment for middle grade students using the computerized spreadsheet. It offers a package of spreadsheet models and suggested activities that promote student thinking with numbers. (ASK)

Finding the number of cubes in rectangular solids provides a cognitive framework for understanding the measurement of volume. This study reveals whether the activities provided in the context of equal investing and equal sharing that emphasize both numerical and spatial aspects of cube configurations cause any improvement in student strategies…

This paper is designed to extend a dialogue on the nature of explanations to include instructional explanations. The paper explores the distinctions between specific types of explanations, (common, disciplinary, self, and instructional) with respect to specific features (problem type, initiation, evidence, form, and audience). Given this context…

Two studies were conducted to compare experimentally the effects of teacher-led instruction and seatwork on acquiring mathematical concepts. In the first study, 255 fourth graders were assigned to groups to be taught a 15-minute teacher-led lesson only, a 15-minute lesson plus 12 minutes of teacher-led follow-up, or a 15-minute lesson plus 12…

One of a series of activity guides, this publication offers a variety of learning activities and resource materials for intermediate grade students. The activities and resources include: science activities and facts (especially dealing with soil and rocks); mathematics activities; arts and crafts activities (including making a pinata and tree…

This study examines the relationship between the amount of time sixth graders reported spending on homework and their achievement gains on the Iowa Test of Basic Skills (ITBS) between the spring of 1988 and the spring of 1989. Selected for participation were one or two classes in each of 30 public elementary schools in Chicago. Of the 30 schools,…

The focus of this activities book is on using calculators to solve problems, as a way of promoting better comprehension in mathematics in the intermediate grades. Problems of various types are presented, ranging from those based on everyday life such as shopping, schedules, meal planning, and sports, to those involving imaginary ideas.…

Eight sixth-grade students received individualized instruction on the addition and subtraction of fractions in a one-to-one setting for 6 weeks. Instruction was specifically designed to build upon the student's prior knowledge of fractions. It was determined that all students possessed a rich store of prior knowledge about parts of wholes in real…

The Comprehensive School Mathematics Program (CSMP) is a program of CEMREL, Inc., one of the national educational laboratories, and was funded by the National Institute of Education (NIE). Its major purpose is the development of curriculum materials for grades kindergarten through 6. This is a report of the first year of a 2-year evaluation of the…