Embedded Mathematics in Chemistry: A Case Study of Students’ Attitudes and Mastery

There are many factors that shape students’ attitudes toward science, technology, engineering and mathematics. This exploratory study of high school students examined the effect of enriching chemistry with math on chemistry students’ attitudes toward math and careers involving math. To measure student attitudes, a survey was administered before and after the 18-week chemistry class; results from the chemistry class were compared to survey results from students in an elective science class that did not emphasize mathematics. At the end of the 18-week period, only the chemistry students exhibited more positive views toward their abilities in mathematics and careers that involve mathematics, as compared to their views at the outset of the course. To ensure that chemistry mastery was not hindered by the additional emphasis on math, and that mastery on state end-of-course examinations reflected knowledge acquired during the math-intensive chemistry class, a chemistry progress test was administered at the start and end of the term. This exploratory study suggests that emphasizing mathematical approaches in chemistry may positively influence attitudes toward math in general, as well as foster mastery of chemistry content.     

Effects of problem-based learning: a meta-analysis

This meta-analysis has two aims: (a) to address the main effects of problem based learning on two categories of outcomes: knowledge and skills; and (b) to address potential moderators of the effect of problem based learning. We selected 43 articles that met the criteria for inclusion: empirical studies on problem based learning in tertiary education conducted in real-life classrooms. The review reveals that there is a robust positive effect from PBL on the skills of students. This is shown by the vote count, as well as by the combined effect size. Also no single study reported negative effects. A tendency to negative results is discerned when considering the effect of PBL on the knowledge of students. The combined effect size is significantly negative. However, this result is strongly influenced by two studies and the vote count does not reach a significant level. It is concluded that the combined effect size for the effect on knowledge is non-robust. As possible moderators of PBL effects, methodological factors, expertise-level of students, retention period and type of assessment method were investigated. This moderator analysis shows that both for knowledge- and skills-related outcomes the expertise-level of the student is associated with the variation in effect sizes. Nevertheless, the results for skills give a consistent positive picture. For knowledge-related outcomes the results suggest that the differences encountered in the first and the second year disappear later on. A last remarkable finding related to the retention period is that students in PBL gained slightly less knowledge, but remember more of the acquired knowledge.     

The effects of ascending,descending, and fixed criteria on student performance and attitude in a mastery-oriented course

This study examined whether the criteria for mastering unit quizzes in a mastery-oriented course should increase, decrease, or remain fixed across units. Subjects were randomly assigned to one of three treatments, one in which mastery criteria on unit quizzes gradually increased, a second in which mastery criteria gradually decreased, and a third in which mastery criteria remained fixed. Results indicated that students in the fixed criterion condition proceeded through the course at the steadiest pace and performed better than the other students on the unit quizzes they mastered. In addition, the vast majority of subjects indicated that they preferred the fixed criterion condition. These results strengthen the notion that the level of performance expected of students in a mastery-oriented course should not vary across units.     

The relationship between cellphone use and achievement goals in junior high school students: A cross‐lagged analysis

The purpose of this study was to explore the relationship between cellphone use and achievement goals in junior high school students. The participants were 282 students randomly selected from a secondary school in Xi'an, China. The Frequency of Cellphone Use Questionnaire and the Achievement Goal Questionnaire were used as measurement tools. The results showed that cellphone use at Time 1 (T1) was significantly associated with performance goals orientation and with mastery goals orientation at both times; cellphone use at Time 2 (T2) was not correlated with performance goals orientation or mastery goals orientation at T1. The cross‐lagged analysis showed a negative causal relationship between the frequency of cellphone use and mastery goals but no causal relationship between the frequency of cellphone use and performance goals. These results may be helpful for guiding adolescents to reduce cellphone use, pay attention to the mastery of knowledge, and establish mastery goals.     

The effect of scheduling format on long-term retention

This study examines the relationship between course intensity and long-term retention on graduate level counseling students enrolled in a research and statistics course. It confirms earlier findings of time and learning studies, which have primarily dealt with end-of-course outcomes, that there is no effect due to scheduling format. In this study, older students performed significantly higher on a six-month follow-up test than younger students. Students who had previous, related course work scored significantly higher in final course grades than students with no prior course work, however, differences were moderated and no longer significant at the time of follow-up. Implications from these findings are discussed.Rebecca LaFountain is an assistant professor in the Department of Counseling, Shippenburg University of Pennsylvania. She earned an Ed.D in Counseling from the College of William and Mary, an M.S. in Counseling from Iowa State University, and a B.A. in French from Grand Valley State University. She is a Licensed Psychologist and a Certified Clinical Mental Health Counselor. Her primary professional interests include the teaching of research and statistics so that it is not threatening; Adlerian psychology; and, Solution-Focused counseling.     

The Effect of Cooperative and Mastery Learning Methods on Primary Grade Students' Learning and Retention of Economic Concepts

Empirical studies have shown the positive effects of combining cooperative and mastery learning methods on mathematics achievement higher order questioning skills, and originality, but little is known, at present, about the effects of cooperative-mastery learning in other subject areas or on other cognitive outcomes. The problem of this study was to explore the effects of cooperative and mastery learning methods, alone and in combination, on first and second grade students' learning and retention of basic economic concepts. A 2 X 2 (cooperative X mastery) factorial design compared the achievement of one hundred-twenty students who were individually randomly assigned (using grade level as a stratification variable) to one of four treatment conditions—instruction on basic economic concepts using (1) cooperative learning, (2) mastery learning, (3) cooperative-mastery learning, or (4) a control treatment (no cooperative or mastery learning). All subjects were administered a written pretest, post-test, and delayed post-test on their understanding of economic concepts. To further probe children's understanding of economic concepts, a randomly selected sub-sample of sixty- four students was interviewed using an oral pretest, post-test, and delayed post-test. Overall, the results support the superiority of the cooperative-mastery learning method over either method alone in promoting the acquisition and retention of economic concepts. Pretest data verified the initial equivalence of groups. The cooperative-mastery learning group outperformed (a) the control group on all post-tests and delayed post-tests and (b) the cooperative learning group on all post-tests and delayed post-tests except the written post-test. By delayed post-test on the oral measure, the cooperative-mastery learning group was also outperforming the mastery learning group. As further evidence of the superiority of the cooperative-mastery learning method, the mean score of the cooperative-mastery learning group was greater than the combined mean scores of the mastery and cooperative learning groups on the oral post-test and delayed post-test. The authors suggest that the cooperative-mastery learning method is in line with current early childhood practices and has the capacity for simultaneously boosting the conceptual development and language development of young children. This capacity is said to stem from the method's provision of (a) specific, positive feedback, (b) a social context for sustained effort and involvement in a topic, (c) child-child communication exchanges, and (d) adult-child communication exchanges.     

The effect of mastery goal-complexes on mathematics grades and engagement: The case of Low-SES Peruvian students

Recent research anchored in achievement goal theory suggests mastery goals are more adaptive when endorsed for autonomous rather than controlled reasons. We report on two studies (N = 622) in which we explored whether the combined effects of goals and reasons on academic outcomes were different for a sample of low-SES youth than for other older higher-SES samples in the literature. Participants were low-SES high-school students in Lima, Peru. The results show that autonomous reasons for endorsing mastery goals positively predicted students' collective engagement and mathematics grades above the effect of mastery goals as such. Second, controlled reasons negatively predicted end-of-the year math grades. Finally, mastery goals’ relations with mathematics grades and behavioral engagement were attenuated when endorsed for low autonomous reasons. The findings extend the knowledge on mastery goal-complexes and show they apply to low-SES students.     

Effects of a modified mastery learning strategy on achievement,attitudes, and on-task behavior of high school chemistry students

The effects of a mastery learning strategy modified to limit diagnosis to two cycles were tested with high school chemistry students. The results indicate that achievement of mastery learning students was significantly greater than that of nonmastery control students. On-task behavior (academic engagement) of mastery learning students increased in a linear fashion during the study (45 instructional days), while on-task behavior of nonmastery students decreased. Attitudes toward science and science instruction were not significantly different but were positive in both mastery and nonmastery conditions.     

Against the Grain: An intervention of mastery learning and intellectual emancipation in art education

In a case study of an undergraduate course in art education, modes of mastery learning and propositions of intellectual emancipation were explored as interventions in curriculum design. By adopting Rancière’s framework of a ‘will to will’ relationship between instructor and students, the core assignment—a visual journal—became a site of student positionality through mastery methods, rather than information gathering. The visual journal provided a record of the event of knowledge and served as a forum to verify that acts of student thinking were done with attention, congruent with Rancière’s perspective that learning generates greater consciousness, feeling and action. Requiring both qualitative and quantitative criteria within the parameters of the visual journal functioned as a means to experiment with the potential convergences of mastery and emancipatory approaches. The visual journal then operated as a third space where ongoing, consistent engagement demonstrated the capacity of students to encounter more equitable relations with the instructor and with the content in ways that have implications for knowledge creation in teaching and learning.     

A comparison of US and Korean students' mathematics skills using a cognitive diagnostic testing method: linkage to instruction

The purposes of the present study were (a) to compare US and Korean 8th graders' mastery of knowledge and skills in the mathematics test of the Trends in International Mathematics and Science Study (TIMSS) 2003 using a cognitive diagnostic testing method and (b) to find links between teachers' instruction and students' mastery of mathematics knowledge and skills. The participants included 740 US and 439 Korean 8th graders who took the Booklet 3 mathematics test. The results showed substantial differences between the US and Korean students' performance in problem restructuring and reasoning, measurement, and geometry. The most helpful instructional strategy for both Korean and US students was encouraging students' independent problem solving. Reviewing, re-teaching, and clarifying content were especially effective for the US students. Implications for teaching and learning are discussed.     

Applying an IRT-Based Cognitive Diagnostic Model to Diagnose Students' Knowledge States in Multiplication and Division with Exponents

The study applied a psychometric model-the rule-space model-to diagnose students' states of knowledge about how the exponents behave in multiplication and division of quantities with exponents. A 38-item test was administered to 431 Grade 10 students. Each item was characterized by a list of task attributes required for answering the item correctly, and each student was classified, based on his or her item-score pattern, into the most likely knowledge, state (i.e., attribute-mastery pattern) corresponding to an ideal item-score pattern. The following outcomes of the rule-space model were presented: (a) the results of the classification of examinees to knowledge states at the group level along with individual examples, (b) the mastery level of the underlying task attributes as evaluated at three different test-score groups, and (c) a tree diagram of the transitional relationships among the knowledge states that can guide the design of effective remediation. Implications for utilizing the feedback, provided by the rule-space model in the context of instruction and assessment are discussed.     

Learning science in a cooperative setting: Academic achievement and affective outcomes

A learning unit in earth science was taught to high school students, using a jigsaw-group mastery learning approach. The sample consisted of 73 students in the experimental group and 47 students who learned the topic in an individualized mastery learning approach. The study lasted 5 weeks. Pretests and posttests on academic achievement and affective outcomes were administered. Data were treated with an analysis of covariance. The results show that students of the experimental group achieved significantly higher on academic outcomes, both normative and objective scores. On the creative essay test, the differences in number of ideas and total essay score were not significant between the groups, although the mean scores for number of words were higher for the individualized mastery learning group. On the affective domain, jigsaw-group mastery learning students scored significantly higher on self-esteem, number of friends, and involvement in the classroom. No differences were found in cohesiveness, cooperation, competition, and attitudes toward the subject learned. The results are discussed through the evaluation and comparison of the two methods of instruction used in this study. The cooperative learning movement began in junior high schools as part of the desegregation process, aiming at facilitating positive ethnic relations and increasing academic achievement and social skills among diverse students (Aronson, Stephan, Sikes, Blaney, & Snapp, 1978; Sharan & Hertz-Lazarowitz, 1980; Slavin, 1980). However, elementary teachers quickly recognized the potential of cooperative methods, and such methods were adopted freely in elementary schools before becoming widespread on the junior and senior high level. It has only been during the past few years that application of cooperative learning has been studied extensively with these older students. Cooperative learning methods generally involve heterogeneous groups working together on tasks that are deliberately structured to provide specific assignments and individual contributions from each group member. Cognitive as well as social benefits are expected, as students clarify their own understanding and share their insights and ideas with each other as they interact within the group (Deutsch, 1949). Experiments in the science laboratory have always required students to work in groups of two to four, due to the constraints of experimental processes and limited equipment and sup- plies. Thus, science courses are a natural curriculum area for examining cooperative learning practices. Now that cooperative methods are being refined to develop particular capabilities in the students, science teachers need to examine ways of structuring specific tasks to achieve the academic, affective, and socialization goals for their students. Although most of the studies of cooperative learning in the high school science classroom have centered around the cognitive outcomes of achievement testing and process skills, affective and social outcomes are also significant with students of this age. But few studies in science classes have attempted to assess such aspects of students' progress. As part of a previous revision, the science faculty at the high school where this study was conducted developed an exemplary individualized mastery learning (1ML) program for teaching science. This program seemed to alleviate the severe motivational problems and the extreme individual differences among the students in this rural/bhe-collar community. Students learned to work independently on their science studies. They had almost no lectures and few large group activities. As they worked through their assignments, however, they were free to interdct with other students. Looking in on a typical class, one would see several clusters of two or three students working together, sometimes tutoring each other, sometimes just talking through an assignment. Yet at least half of the class members would be working all alone. The importance of the overall social setting in the classroom as it relates to learning (Bruner, 1986, p. 86) and the central function of social interaction as learning occurs (Vygotsky, 1978, p. 106) seemed to have been ignored. Therefore, group mastery learning (GML), a cooperative learning tech- nique, was suggested as an antithesis to IML for teaching science over short periods. The cooperative mode of instruction considers learning as a cognitive as well as a social process, where students interact with each other as well as the teacher. To bring the social dimension back to science classrooms, the researchers chose to imple- ment GML in Grades 1 I and 12. The goal of the study was to investigate the GML's impact of the method on the individual student's academic achievement, creativity, self-esteem, and number of friends and on the overall learning environment of the classrooms. The researchers were also concerned with the students' attitudes toward earth science, the course being taught at the time of the experiment. Both cognitive and affective outcomes for students who participated in the cooperative GML approach were compared with outcomes for students who studied the same topic in an IML approach. The study addressed a number of questions related to academic and nonacademic outcomes of the two methods of study. First, it sought to determine whether academic achievement of the students taught in the cooperative GML mode would be different from the achievement of students who learned in an individualized method. Second, it sought to determine whether gains or losses would be seen in nonacademic outcomes, such as classroom learning environment, social relations, and students' self-esteem experienced by the students. The results of this study may support more use of cooperative learning in high school science.     

The effects of various mastery criteria on student performance and attitude in a mastery-oriented course

The purpose of this study was to determine the effects of various mastery criteria on student performance and attitude in a course in which mastery learning strategies were employed. Undergraduates in an introductory course in educational psychology were randomly assigned to one of three treatments—one in which mastery criteria gradually increased from 70% to 90%, a second in which mastery criteria gradually decreased from 90% to 70%, or a third in which mastery criteria remained constant at 80%. Results indicated that although the high mastery criterion (90%) had a positive effect on some aspects of quiz performance, it did not have an effect on final examination performance. Results also indicated that students preferred that mastery criteria remain constant during a semester. These findings, when examined in light of previous research, call into question some prior notions regarding the levels at which mastery criteria should be set.     

Rigorously selected and well trained senior student tutors in problem based learning: student perceptions and study achievements

We compared effects of tutoring by students and by staff. In four courses in each of two consecutive first years of an undergraduate problem-based law curriculum we examined the achievements and perceptions of tutors of students taught by student and staff tutors. Achievements were measured by the results on the regular end-of-course tests. After the end-of-course tests students’ perceptions were obtained by an online questionnaire and by a semi-structured focus group interview. The aim of the focus groups was to gain more in-depth insight into students’ perceptions. No significant differences in achievement and perceptions of tutors were found. Students’ perceptions of both staff and student tutors were generally positive. The results suggest that students that are carefully selected and well trained can be effective as tutors in the first year of an undergraduate problem-based curriculum.     

Deaf and hearing students' morphological knowledge applied to printed English

The study examined the ability of deaf and hearing students at the college and middle school levels to discern and apply knowledge of printed word morphology. There were 70 deaf and 58 hearing participants. A two-part paper-and-pencil test of morphological knowledge examined subjects' ability to (a) perceive segmentation of morphemes within printed words and (b) recognize meanings associated with various printed morphemes. The hearing college students performed best on every dependent measure of the two-part test. The deaf college students scored significantly lower than the hearing college students but similarly to the hearing middle school students. Deaf middle school students consistently scored the lowest on both parts of the test. While all students' performance declined as the difficulty of the morphemic content increased within both tasks, the decline was greatest among middle school deaf students. Although segmentation and semantic analysis skills necessary to morphographic decoding were apparent in the deaf students, their mastery levels fell significantly below those of the hearing subjects.     

Motivational Climates,Achievement Goals,and Physical Education Outcomes: A Longitudinal Test of Achievement Goal Theory

The present research tested the longitudinal relations over a school‐year between motivational climates, achievement goals, and five physical education outcomes, namely intrinsic motivation, perceived competence, positive attitude, exertion, and attendance in physical education. The results showed that students’ mastery goals measured early in the school‐year (Time 1) predicted all five physical education outcomes one year later (Time 2), controlling for physical education outcomes at Time 1. Two structural equation change models of climates and goals were also tested: (1) change in mastery climate predicted positively change in mastery goals, which positively predicted physical education outcomes after one year; and (2) distinct performance climate sub‐factors, namely changes in normative praise and negative emotional tune, predicted positive changes in performance‐approach, and performance‐avoidance goals, respectively. In turn, change in performance‐approach goals predicted positively, and change in performance‐avoidance goals predicted negatively, the PE outcomes after one year.     

Public Policies and Strategies of Actors

Abstract

A comparison of student learning outcomes between distance education and campus-based nursing students in a mental health course working toward registered nurse (RN) licensure in a baccalaureate (BS) degree program is presented. Learning outcomes were evaluated using results from a commercially developed content mastery test taken by students who completed a sophomore-level mental health course. Results utilizing independent t test analysis of archival data indicated no statistically significant differences between the distance education students and the campus-based students in either initial knowledge prior to the mental health course or in the educational effectiveness of the distance education and classroom-based delivery.     

Formative Self-Assessment College Classes Improves Self-Regulation and Retention in First/Second Year Community College Students

This research examined the influence formative self-assessment had on first/second year community college student self-regulatory practices. Previous research has shown that the ability to regulate one’s learning activities can improve performance in college classes, and it has long been known that the use of formative assessment improves learning. However, little has been done exploring the influence of formative self-assessment on variables associated with both student and institutional success. First/second year community college students enrolled in 10 self-assessment and six traditional assessment classes completed the Motivated Strategies for Learning Questionnaire (MSLQ) at the conclusion of one semester as a measure of self-regulation specific to the individual class under examination. A modest effect of assessment type was found for self-reported self-regulation where students in self-assessment classes reported higher self-regulation than students in traditional assessment classes. Self-regulation was significantly and positively correlated with both behavioral (i.e., effort) and motivational (i.e., mastery goal orientation) variables. Additional results indicated a robust effect of instructor on self-regulation and a significant increase in retention for students enrolled in self-assessment classes. The findings of this research have implications for both classroom practice and institutional retention initiatives.