Gary L. Cates

Examining the Relationship Between Mathematics Anxiety and Mathematics Performance: An Instructional Hierarchy Perspective

This study investigated the relationship between mathematics anxiety, fluency, and error rates in basic mathematical operations among college students. College students were assigned to one of two groups (high anxiety or low anxiety) based on results from the Fennema-Sherman Mathematics Anxiety Scale (FSMAS). Both groups were then presented with timed tests in basic mathematical operations (addition, subtraction, multiplication, division, and linear equations). Results suggested that the higher mathematics anxiety group had significantly lower fluency levels across all mathematical operations tests. However, there were no significant differences in error rates between the two groups across any of the probes suggesting that mathematics anxiety is more related to higher levels of learning than to the initial acquisition stage of learning. Discussion focuses on a) stages of learning and their potential relationship to mathematics anxiety, b) the relationship between mathematics anxiety and mathematics performance, and c) directions for future research.

Getting Remedial Mathematics Students To Prefer Homework with 20% and 40% More Problems: An Investigation of the Strength of the Interspersing Procedure.

High school students in remedial mathematics classes were exposed to three pairs of mathematics computation assignments. Three of the assignments served as control assignments and contained 15 target problems (i.e., three-digit by two-digit multiplication problems). Students were also exposed to three paired experimental assignments that contained either 15 (0% more), 18 (20% more), or 21 (40% more) equivalent target problems. Each experimental assignment was also lengthened by interspersing additional one-digit by one-digit problems following every third target problem. After exposure to each pair of assignments, students reported which of the two assignments (control or experimental) would require the most time and effort to finish, which was most difficult, and which assignment they would prefer to do for homework. Across all three assignment pairs, significantly more students rated the experimental assignment more favorably for time, effort, and difficulty and chose the experimental assignment for homework. These results extend previous research on interspersing additional brief tasks by showing that this procedure has sufficient strength to get students to prefer homework assignments with 20% and 40% more target problems.

A Preliminary Investigation of the Effects of Reading Fluency Interventions on Comprehension

Abstract Brief experimental analyses were conducted using two dependent variables to evaluate the effectiveness of reading interventions. Specifically reading rate (words read correctly per minute) and mean reading comprehension levels for six students with reading difficulties were obtained using six different reading intervention/intervention combinations. These interventions included contingent reinforcement, listening passage preview, repeated reading, listening passage preview with contingent reinforcement, repeated reading with contingent reinforcement, and repeated reading with listening passage preview. Results suggested that no one intervention was best for all students. In addition, it was found that interventions that increased reading rate for half of the students also increased reading comprehension for the same students. Discussion focuses on student-treatment interactions, measuring student reading performance, matching treatments to students, and directions for future research.