Effects of Evaluative Feedback on Math Self-efficacy, Grade Self-efficacy, and Math Achievement of Ninth Grade Algebra Students: A Longitudinal Approach


Book Description

The double-blind study used two intact ninth grade high school Algebra One classes for a total sample size of 46. Within each of the classes the participants were assigned randomly to one of three treatment groups: self-referenced feedback, social-referenced feedback, and a control group. Self-referenced feedback compared the student's performance to his or her previous performances. Social-referenced feedback compared the student's performance to that of the other students in the class. The control group did not receive comparative feedback but innocuous comments such as "study your notes before class."







Beyond Shanghai and PISA


Book Description

This book seeks to illustrate the research on mathematics competencies and disposition in China according to the conceptual development and empirical investigation perspective. Mathematics education in China has a distinguishing feature a focus of attention to mathematical competency. Paradoxically, there has not been an explicit, refined, and measurable evaluation system in place to assess mathematical competency in China. While academic achievement surveys or evaluations are common, these can only give an overall conclusion about mathematical thinking skills or problem solving abilities. In response to this deficiency, China is beginning to carry out national projects that emphasize defining both a conceptual framework on core competencies in school mathematics and developing a corresponding assessment framework. Thus, the main focus of this volume is the current investigations of different mathematics competencies and mathematical disposition of Chinese students, with the aim of promoting interaction between domestic and international student performance assessment, to provide a more comprehensive understanding of mathematics competencies and disposition in mainland China, and to stimulate innovative new directions in research. The primary audience of this volume is the large group of researchers interested in mathematics competencies, mathematics teaching and learning in China, or comparative studies, or the relation of the three. The book will also appeal to teaching trainers or instructors, as well as be an appropriate resource for graduate courses or seminars at either the master’s or doctoral level.




The Effects of an Intervention on Students' Math Self-efficacy, Practices, and Achievement


Book Description

The work of teaching mathematics is ever-changing. Amidst changes in pedagogy, curricula, and standards, what is most important is the belief that students can achieve high levels of math. Mathematical attainment is related to positive math self-efficacy and the use of mathematical practices. This experimental design study aimed to analyze the effects of a six-week intervention on students’ math self-efficacy, practices, and achievement in grades four through six. The following research questions guided the study: RQ1. What effect does the intervention have on students’ math self-efficacy? RQ2. What effect does the intervention have on students’ math practices? RQ3. What effect does the intervention have on students’ math achievement? RQ4. What other student variables moderate the effects of the intervention (i.e., gender, grade level, teacher)? Study results indicated that students in the intervention group reported higher than average gains on the MSE and the SMP than the control group. However, the higher gains on these two measures were not statistically significant. Additionally, the control group’s average increase on the STAR math assessment was higher than the intervention groups but also not statistically significant. These findings provide a practical application for teachers to improve students’ math self-efficacy but suggest additional studies to expand the body of research and the potential benefits of such interventions to math education, teachers, and students alike.




A Longitudinal Examination of the Effects of Performance Goal Practices on Female Students' Self Efficacy and Valuing of Mathematics


Book Description

Female students are underrepresented in science, technology, engineering and mathematics majors and careers despite indicators of comparable performance. The purpose of the present study is to examine the implications of teacher-reported performance goal practices on students' mathematics self-efficacy, valuing of mathematics, and mathematics achievement. Previous research has shown that performance goal practices may affect these student variables; however, this has not been explored extensively with regard to gender differences or at the elementary-school level. Data were collected from a sample of 692 students located in three school districts in southeastern Texas. Students were eligible for participation if they scored below the median score on a district-administered early literacy assessment. Students' mathematics self-efficacy and valuing of mathematics were assessed through self-report questionnaires. Mathematics achievement was assessed through an individually-administered achievement test. Classroom performance goal practices were assessed through a teacher self-report. Analyses were conducted using hierarchical linear modeling to account for classroom-level effects on student-level outcomes. Results indicated that gender differences in students' mathematics self-efficacy emerged at grade 4 and were also evident at grade 5, with male students reporting significantly higher mathematics self-efficacy at grades 4 and 5. There were no statistically significant gender differences in students' valuing of mathematics across grades 3-5. Results indicated that performance goal practices did not exert any statistically significant effects on student-level outcomes. At the same time, consistent with prior research, students' mathematics self-efficacy was found to be a significant predictor of mathematics achievement, when controlling for achievement during the prior school year. Implications and future research directions are discussed. The electronic version of this dissertation is accessible from http://hdl.handle.net/1969.1/155444




Exploring Mathematics Self-efficacy Over Variable Time Periods, Using Algebra I Common Assessment Scores, Algebra II Mid-term Grades, and Advanced-level Mathematics Course Selection Choice-making


Book Description

ABSTRACT: Using social cognitive theory and the construct of self-efficacy, this study explored the relationship between mathematics self-efficacy over variable time periods, using Algebra I common assessment scores, Algebra I mid-term grades, and advanced level mathematics course selections. The study included 145 ninth-grade students enrolled in Algebra I at a mid-size southwest Alabama high school. Students' mathematics self-efficacy was measured using the Mathematics Self-Efficacy Scale (MSES). Results of this research indicate that mathematics self-efficacy is correlated to mathematics performance over variable time periods. The ultimate use of these results would be to incorporate what has been learned from this research into practical applications that include interventions designed to improve mathematics self-efficacy.




The Effects of Online Homework on Achievement and Self-efficacy of College Algebra Students


Book Description

This study compared the effectiveness, in terms of mathematical achievement and mathematics self-efficacy, of online homework to textbook homework over an entire semester for 145 students enrolled in multiple sections of college algebra at a large community college. A quasi-experimental, posttest design was used to analyze the effect on mathematical achievement, as measured by a final exam. A pretest-posttest design was used to analyze the effect on mathematics self-efficacy, as measured by the Mathematics Self-efficacy Scale. The control group completed their homework using the textbook and the treatment group completed similar homework using an online homework system developed by the textbook publisher. All class sections followed a common syllabus, schedule, and homework list and completed a common, departmental final exam. Classroom observations were also used as a way to establish the similarity between groups. The results of the study found that while the treatment group generally scored higher on the final exam, no significant difference existed between the mathematical achievement of the control and treatment groups. Both the control and treatment group did experience significant improvements in their mathematics self-efficacy, but neither group demonstrated more improvement than the other. When students were divided based on incoming math skill level, analysis showed that low-skilled students who used online homework exhibited significantly higher mathematical achievement than low-skilled students who used textbook homework. Exploratory analysis also showed that more students with low incoming skill levels and more repeating students received a passing grade when using online homework than did their higher-skilled, first-time counterparts, although the differences were not significant. Based on this study it appears as if online homework is just as effective as textbook homework in helping students learn college algebra and in improving students' mathematics self-efficacy. Online homework may be even more effective for helping the large population of college algebra students who enroll in the course with inadequate prerequisite math skills. Instructors and researchers should consider the possibility that online homework can successfully help certain populations of students develop understanding better than traditional approaches. This study has implications for mathematics instructors and for online homework system developers.










The Effects of Different Evaluative Feedback on Student's Self-Efficacy in Learning


Book Description

This dissertation, "The Effects of Different Evaluative Feedback on Student's Self-efficacy in Learning" by Song'en, Chen, 陳頌恩, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: 2 Abstract for thesis entitled "The Effects of Different Evaluative Feedback on Student's Self-Efficacy in Learning" Submitted by Chan Chung Yan, Joanne for the degree of Doctor of Philosophy at The University of Hong Kong in June 2006 Self-efficacy is an individual's perceived capability to perform a specific task. In Bandura's self-efficacy theory, four sources of self-efficacy have been identified including enactive mastery experience, vicarious experience, social persuasion, physiological and affective states. In educational settings, students' self-efficacy is a key component that enables academic success and teachers play an important role in shaping students' self-efficacy. Through their evaluative feedback, teachers define mastery experience and provide social feedback to students. The main goal of this research is to shed light on how teachers can shape students' self-efficacy in vocabulary acquisition through the evaluative feedback they provide. The selection of evaluative feedback is based on the common practices employed by teachers, including summative feedback, formative feedback, norm-referenced feedback, and self-referenced feedback. The choice of vocabulary acquisition task as the target of investigation serves a practical purpose as vocabulary building is one of the fundamentals of language acquisition and a prerequisite for academic achievement. Having a strong command of vocabulary can enhance students' capabilities in both reading and writing. To maximize internal and external validities, this research used controlled experiments within real classroom settings. The 3 current research comprises of two studies that compared effects of four types of evaluative feedback on students' vocabulary acquisition self-efficacy. In Study 1, a random sample of Grade 8 students (N=79) received training and tests on using prefixes. The results of the tests were designed to induce a failure situation. Every student then received either formative or summative feedback. Students were asked to fill out two questionnaires with regard to self-efficacy. The results showed that summative feedback was more harmful to students' self-efficacy than formative feedback. The implication is that the difference in evaluative feedback had an impact on students' perception of their self-efficacy even though both groups of students evaluated both the quality of instruction and the learning environment as the same, and also encountered the same academic setback in terms of the number of correct answers they got. In Study 2, a random sample of Grade 7 students (N=77) went through similar procedures as in Study 1 except that students received either self-referenced or norm-referenced feedback. The results showed that while students in the self-referenced feedback condition experienced an overall increase in self-efficacy, those in the norm-referenced feedback condition showed a decrease. The implication is that self-referenced feedback was more beneficial to students' self-efficacy than norm-referenced feedback. Implications for efforts to revise the assessment system are discussed. The outcome of this research can provide educators and teachers with information on how to structure academic contexts that would be beneficial to students' self-efficacy, which in turn will enhance their learning motivation and achievement outcomes. (439 words) DOI: 10.5353/th_b3709991 Subjects: