It is easy to dismiss the work of "teaching students to apply formula" as a low-order priority and thus trivialises the professional knowledge associated with this practice. Our encounter with an experienced teacher--through the examination of her practices and elaborations--challenges this simplistic assumption. There are layers of…

English language learners are a growing demographic in secondary, two-year, four-year and research institutions where many students encounter their first course in statistics. In the statistics education literature, recent calls have been made to improve statistical education for underserved student populations, including English Language Learners…

Despite the growing attention being paid to teaching mathematics for students with disabilities, the existing research tends to focus on mathematical skill acquisition, but not on skill maintenance. Maintenance of mathematical skills is especially important as mathematics has applications in daily life and is directly related to important life…

To improve student success in mathematics, the use of research-based interventions is necessary to help secondary students with learning disabilities (LD) access the algebra curriculum. The authors provide an overview of the following research-based approaches: explicit instruction, graduated instructional sequence, technology, and graphic…

THIS VOLUME IS AN APPENDIX TO ED 003 346. SAMPLE COPIES OF THE TESTS AND INSTRUCTIONAL MATERIALS USED IN THE STUDIES ARE INCLUDED. DESCRIPTIONS INCLUDE EXPERIMENTS ON DISCOVERY VERSUS EXPOSITORY SEQUENCING IN A PROGRAMED UNIT ON SUMMING NUMBER SERIES. THESE MATERIALS ARE PRESENTED TO PROVIDE CONCERNED PERSONS WITH A BETTER UNDERSTANDING OF THE…

Discusses the importance of revisiting problems to encourage children to amplify their mathematical thinking and for teachers to note developmental growth and patterns among learners. Describes experiences with a classic problem that was revisited several times. (ASK)

THE TRANSFER EFFECTS OF DISCOVERY AND EXPOSITORY INSTRUCTIONAL TECHNIQUES FOR SEQUENCING OF INSTRUCTION WERE THE PURPOSE OF THIS TWO-PART STUDY. THE FIRST STUDY COMPARED THE TWO PROCEDURES IN A PROGRAMED UNIT ON SUMMING NUMBER SERIES. SAMPLES FOR THIS PART OF THE STUDY CONSISTED OF 96 NINTH-GRADE ALGEBRA STUDENTS, WHO WERE ASSIGNED TO EITHER OF…

Four sequential Basic Skill Levels (levels N, O, P, and PA) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, five to nine lessons, quizzes (checkpoints) after each fourth or fifth lesson, a posttest, and a…

Four sequential Basic Skill Levels (levels G, H, HA, and I) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, four to seven lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level…

Six sequential Basic Skill Levels (levels A through F) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, seven to 10 lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level review…

Five sequential Basic Skill Levels (levels J, K, L, M, and MA) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, four to six lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a level…

Seven sequential Basic Skill Levels (levels Q, QA, R, S, T, U, and V) of a self-paced, individualized mathematics program designed to improve the achievement of junior high school students are presented in this student workbook. Each level includes a pretest, five to 14 lessons, quizzes (checkpoints) after each fourth lesson, a posttest, and a…