Targeting Difficult Multiplication Problems


Book Description

The acquisition of basic math facts is a necessity for elementary school students as it fosters skill development as math concepts increase in difficulty. Specifically, by the end of the fifth grade, students are expected to have mastered all basic one-digit by one-digit multiplication problems. Many students, however, do not become fluent with multiplication facts, particularly the most difficult basic facts (i.e., digits 6-9). The current study was designed to determine if a computer-based learning trials program could enhance automaticity with difficult multiplication facts. Further, we investigated whether the computer program targeting difficult facts could enhance fluency across all basic multiplication facts. A multiple-baseline across student design was used to evaluate the effectiveness of this intervention. Three students participated in the study where they were assessed on their automaticity for each difficult multiplication problem as well as their overall basic multiplication fact fluency. Visual analysis of results suggests that the computer program enhanced the number of rapid and accurate responding for these difficult multiplication problems across at least two students. Visual analysis was supplemented with statistical analysis, which suggested that the intervention enhanced automaticity on difficult facts with two of the three students. With respect to fluency across all problems, these data provided no evidence that the computer program targeting difficult problems enhanced fluency, as the data on fluency was not interpretable because of high within-student variability. Survey data revealed that students found the intervention acceptable. Findings of the current study have theoretical and applied implications. Study limitations and directions for future research are discussed.










The Effects of Mnemonics to Increase Accuracy of Multiplication Facts in Upper-elementary School Students with Mild to Moderate Disabilities


Book Description

The intent of this project is to replicate a specific instructional method used in Wood et al.0́9s study focusing on the use of the pegword mnemonic strategy paired with stories and illustrations for 15 targeted multiplication facts remaining after mastering math facts in the zeros, ones, twos, fives, or nines groups. Three questions will be asked during this project on the effects of mnemonic instruction using pegword strategies on the percentage of multiplication facts answered correctly by third, fourth, and fifth grade students with learning disabilities? 1) Does pegword instruction paired with stories and illustrations result in immediate improvement for the specific multiplication facts taught? 2) Are students0́9 performances on previously taught multiplication facts maintained as new multiplication facts are introduced? 3) Do students maintain accuracy on 2 and 4 week follow-up tests?




Direct Instruction Mathematics


Book Description

An exciting edition of this practical math methods text that provides future teachers with practical procedures for increasing student success in math. Emphasizing specific, classroom-tested strategies, these authors provide techniques for teaching major math and needed prerequisite skills...as well as extensive background in diagnosing and correcting error patterns. In addition, they offer practical guidelines for curriculum evaluation and modification, recommendations for practice and review drills, and specific information on progress-monitoring.




Randomization Tests


Book Description

Random assignment; Calculating significance values; One-way analysis of variance and the independent t test; Repeated-measures analysis of variance and the correlated t test; Factorial designs; Multivariate designs; Correlation; Trend tests; One-subject randomization tests.




Teaching Students with Learning Problems


Book Description

Logically organized, comprehensive, and thoroughly applied, the eighth edition of Teaching Students with Learning Problems contains the resources teachers need to make informed decisions concerning their students with learning or behavior problems. No text on the market offers this many classroom-tested strategies, including activities and games. Unique in its coverage the materials and computer software most appropriate for students with learning problems in every content area, this top-selling text continues to be the most practical and well-researched resource for classroom teachers.




Response to Intervention and Precision Teaching


Book Description

Successful implementation of response to intervention (RTI) for academic skills problems requires rigorous progress monitoring. This book shows how the proven instructional technology known as precision teaching (PT) can facilitate progress monitoring while building K-12 students' fluency in reading, writing, math, and the content areas. Detailed instructions help general and special education teachers use PT to target specific skills at all three tiers of RTI, and incorporate it into project-based learning. Of crucial importance for RTI implementers, the book provides explicit procedures for measuring and charting learning outcomes during each PT session, and using the data to fine-tune instruction. Reproducible charts and other useful tools can be downloaded and printed in a convenient 8 1/2" x 11" size.




Single-case and Small-n Experimental Designs


Book Description

This book is a practical guide to help researchers draw valid causal inferences from small-scale clinical intervention studies. It should be of interest to teachers of, and students in, courses with an experimental clinical component, as well as clinical researchers. Inferential statistics used in the analysis of group data are frequently invalid for use with data from single-case experimental designs. Even non-parametric rank tests provide, at best, approximate solutions for only some single-case (and small-n ) designs. Randomization (Exact) tests, on the other hand, can provide valid statistical analyses for all designs that incorporate a random procedure for assigning treatments to subjects or observation periods, including single-case designs. These Randomization tests require large numbers of data rearrangements and have been seldom used, partly because desktop computers have only recently become powerful enough to complete the analyses in a reasonable time. Now that the necessary computational power is available, they continue to be under-used because they receive scant attention in standard statistical texts for behavioral researchers and because available programs for running the analyses are relatively inaccessible to researchers with limited statistical or computing interest. This book is first and foremost a practical guide, although it also presents the theoretical basis for Randomization tests. Its most important aim is to make these tests accessible to researchers for a wide range of designs. It does this by providing programs on CD-ROM that allow users to run analyses of their data within a standard package (Minitab, Excel, or SPSS) with which they are already familiar. No statistical or computing expertise is required to use these programs. This is the "new stats" for single-case and small-n intervention studies, and anyone interested in this research approach will benefit.