Modeling Change in Student Attitude Toward and Beliefs About Mathematics

Abstract

The authors used data from the Longitudinal Study of American Youth to investigate variables related to change in students' attitude toward and beliefs about mathematics in middle school and high school. Using hierarchical linear modeling techniques, the authors modeled variation in students' rate of change with variables associated with student characteristics, instructional experiences, and environment. They also identified variables that differentially affect change at different levels of secondary school (i.e., middle school vs. high school) and for different affective dimensions (i.e., attitude toward mathematics, beliefs about the social importance of mathematics, and beliefs about the nature of mathematics). Results showed a substantial negative change in students' attitudes toward and beliefs about the social importance of mathematics throughout secondary school. However, students' notions of the nature of mathematics did not change throughout secondary school. The authors identified variables related to change and found that they differed according to the level of secondary school and affective dimensions.     

The Theoretical Links Between Problem-based Learning and Self-directed Learning for Continuing Professional Nursing Education

Professional undergraduate nursing education programmes share the goal of preparing competent graduates who will successfully make the transition to the world of professional nursing practice. Furthermore, society demands continued professional accountability for competence in an era of exponential knowledge proliferation and technological change. One way to meet this demand is for every practicing professional to engage in continuing professional nursing education. If professional nurses are to maximize continuous learning, they need to be able to manage and monitor their own learning. This means that professional nurses engaged in continuous learning should have the ability to be self directed. The use of problem-based learning (PBL) as an instructional methodology in undergraduate nursing curricula has been identified as one way to facilitate the development of nursing students' abilities to become self-directed in learning. The theoretical links between PBL and self-directed learning are discussed.     

Changes in Students' Use of Lifelong Learning Skills During a Problem‐based Learning Project

ABSTRACT In a climate of continual change and innovation, lifelong learning is a critical professional development objective which has a direct impact on organizations' effectiveness and ability to compete and innovate. To help learners continually upgrade their skills and knowledge so they can effectively address emerging organizational and professional needs and opportunities, educators must prepare learners for their professions using teaching methodologies that develop learners' capacity for and disposition toward lifelong learning. Problem‐based learning (PBL) is one such method. PBL uses professional problems of practice as a starting point, stimulus, and focus for student activity, and one of PBL's stated educational outcomes is students' use of lifelong learning skills. This study examined the changes in students' use of lifelong learning skills while participating in a PBL project. Twenty‐six undergraduate university computer science students completed a 15‐week C++ programming course. Using guided reflective journal responses as process data, students were observed to increase their application of lifelong learning skills during their PBL experience. Design and research recommendations are shared.     

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.     

Adapting to Distance Education

SUMMARY

A recent ethnographic study of 13 graduate classes in an interactive televised (ITV) learning environment (N= 278) provided insight for instructional designers into the process of adaptation that learners go through as they attempt to relate a new technologically mediated classroom to their traditional ways of managing teaching and learning. Participant observations of students' comments and actions clearly indicated a connection between the complexities of working with the tech nology (e.g., using microphones, watching television, appearing on screen) and their ability to participate in class. Cultural anthropology and symbolic interactionism theoretically framed this study that shows communication and participation in class were different in the ITV classroom from the traditional classroom.     

Comparing the effectiveness of video and stereoscopic 360° virtual reality-supported instruction in high school biology courses

The promise of using immersive technologies in learning has increasingly been attracting researchers' and practitioners' attention. However, relevant empirical works are usually conducted in fully controlled Virtual Reality (VR) laboratories, as opposed to conventional settings. This quasi-experimental study compares the effectiveness of video learning resources to that of stereoscopic 360° VR, as supplements to the traditional instructional approach. The potential of such methods was examined in high school settings, in the context of the ‘Life and Evolution’ module, with participants (n = 70) divided equally into control and experimental groups. As a point of reference (control condition), we considered the adoption of Video Learning Resources, as students are more acquainted with this instructional method. In the intervention approach (experimental condition), students adopted the use of low-end mobile-VR (VeeR Mini VR Goggles). The key findings indicate differences in the learning motivation, confidence and satisfaction, but no statistically significant difference was identified regarding the factual or conceptual knowledge gains. The study offers insights on the potential of the investigated technologies in the subject of secondary school Biology and further provides implications for theory and practice.

Practitioner notes

What is already known about this topic

• Researchers' interest over the potential of Virtual Reality on different STEM disciplines is increasing consistently.
• An increasing number of efforts can be identified discussing the integration of multimedia learning resources in the secondary school context.
• Empirical studies on the subject of Biology are focusing on students' academic performance and achievement but not on learning motivation and satisfaction.

What this paper adds

• This quasi-experimental study comparatively examines academic performance, with the focus being on learning motivation and satisfaction, across different modalities (stereoscopic 360° Virtual Reality applications-VR, Video Learning Recourses-VLR).
• The findings demonstrate that both instructional methods are sufficient in enhancing students' knowledge acquisition and academic performance.
• The adoption of stereoscopic 360° VR influences students' learning motivation and impacts long-term memory retention.

Implications for practice and policy

• Educators are advised to consider the systematic adoption of “immersive” multimedia tools to enhance the subject of Biology as they can greatly encourage scientific inquiry.
• Instructional designers are advised to adopt open educational resources aligned to the curriculum of the local context.
• Educational researchers are advised to integrate stereoscopic 360°-VR solutions in the conventional classroom settings.

     

Relationship among laboratory instruction,attitude toward science,and achievement in science knowledge

This study investigated the use of a hands-on laboratory program as a means of improving student attitude toward science and increasing student achievement levels in science knowledge. Using a posttest-only control group design, curriculum referenced objective examinations were used to measure student achievement in science knowledge, and a posttest Q-sort survey was used to measure student attitude toward science. A one-way analysis of variance compared the groups' differences in achievement and attitude toward science. Analysis of covariance was used to determine the effect of the laboratory treatment on the dependent achievement variable with attitude toward science as the covariable. The findings showed that students who had regular laboratory instruction (a) scored significantly higher (p < .01) on the objective examination of achievement in science knowledge than those who had no laboratory experiences; (b) exhibited a moderate, positive correlation (r = .406) between their attitude toward science and their achievement; and (c) scored significantly higher (p < .01) on achievement in science knowledge after these scores were adjusted on the attitude toward science covariable. There were no significant differences in achievement or attitude toward science for the limited English proficiency groups. It was concluded that laboratory instruction influenced, in a positive direction, the students' attitude toward science, and influenced their achievement in science knowledge. It was recommended that science instruction include a regular laboratory experience as a demonstrated viable and effective instructional method for science teachers. This model of science instruction has been shown to be effective with students of diverse backgrounds who live within large urban centers. J Res Sci Teach 34: 343–357, 1997.     

Instructional metacognitive knowledge: A qualitative study on conceptions of freshmen about instruction

Many studies have pointed to the limited direct effectiveness of instructional interventions and one explanation of this has drawn attention to the importance of 'instructional metacognitive knowledge'. In this exploratory study, instructional metacognitive knowledge of university freshmen is addressed by means of a survey covering: (a) instruction in general, (b) instruction in two different environments, and (c) specific delivery systems and concrete instructional interventions. While some differences appeared in the answers on different sets of questions, also large similarities were found. The results show students' knowledge about instruction to be mainly affected by their instructional experiences. The students' view is 'reactive' and places instructional agents at the core of the instructional process. The findings provide additional support for the importance of correspondence between learners' and teachers' views on instructional interventions if forms of support for students' learning are to be effective.     

Keeping the Focus on the Child: Supporting and Reporting on Teaching and Learning With a Classroom-Based Performance Assessment System

Abstract

This article describes the findings of studies conducted on a large-scale, classroom-based performance assessment of literacy for the early grades designed to provide information that is useful for reporting, as well as teaching. Technical studies found the assessment to be a promising instrument that is reliable and valid. Follow-up studies of the assessment's use point to its positive impact on teachers' practice and on school and district policies. The studies' findings suggest that classroom-based performance assessment can be a viable accountability, as well as instructional, tool, capturing a range of students' abilities in a range of formats, and that use of such an assessment has the potential to enhance teachers' knowledge about literacy and their abilities to effectively support students' learning.     

Science Teachers' Elicitation Practices: Insights for Formative Assessment

In evaluating teachers' instructional decisions during instruction, it is clear that the nature of their elicitation is crucial for student learning. When instructional decisions are informed by information about students' conceptual understanding, significant learning is possible. This article examined the elicitation practices of two high school science teachers who indicated that they made instructional decisions based on the elicited evidence of students' knowledge but whose elicitation practices were characteristic of low-level elicitation. The teachers focused on students' responses that used canonical terms and expressed acceptable knowledge. The teachers demonstrated low-level responsiveness because they did not have full access to students' knowledge. The elicited evidence of students' knowledge that was used in making instructional decisions was not representative of students' conceptual understanding. There was, thus, a mismatch between the teachers' perspectives about their formative assessment practice and what is considered effective formative assessment.     

The effect of levels of cooperation within physical science laboratory groups on physical science achievement

The purpose of this study was to investigate the effect of the levels of group cooperation on students' achievement during a series of physical science laboratory activities. Six intact seventh-grade physical science classes taught by two teachers, with each teacher instructing three classes, were selected from two middle schools. For each teacher, one of the classes was taught with a traditional approach (no cooperative goal structure). The other two classes were assigned to a cooperative goal structure (role assignment and nonrole assignment). For the role assignment class, each student was assigned a specific role, but students in both traditional and nonrole assignment classes were not assigned roles. The Classroom Observation Instrument in Science Laboratory Activity (COISLA), which includes investigative skills (i.e., managing, manipulating, observing, reading, writing, and reporting); social skills (i.e., discussing, encouraging) and nonlearning behaviors (i.e., waiting, off-task), was used to measure the levels of group cooperation. The grades on lab reports and lab quizzes of students who were taught by the same teacher were compared to assess the effects of the different learning conditions. No significant differences on the students' final achievement were found with respect to the three instructional approaches followed by each teacher. The teacher effect was more significant than either instructional approach on managing, manipulating, observing, reading, and writing behaviors. No significant teacher effect was found for the other behaviors. Only one treatment effect was significant, writing behavior. Overall, the teacher effect was more influential than instructional approach on students' behaviors. In teacher A's classes, reading behavior predicted 21% of students' achievement. However, no significant correlations existed between the 10 collaborative behaviors and students' achievement in teacher B's classes.     

Transactional issues in distance education: The impact of design in Audioteleconferencing

Abstract

This paper reports the results of a study of student perceptions of learning via audioconferencing in university‐level courses delivered at a distance. Field observations, interviews, and a focus group were used to triangulate and deepen knowledge obtained from an initial mail survey. The results of the investigation revealed that the audioteleconferences were being used under two quite different instructional designs, which were associated with significant differences in students' perceptions of the opportunity to engage in critical thinking skills, creation of a community of inquiry, and the value of various components of the distance education system. The study documents students' perceptions and outlines ways in which these sessions can be designed to induce maximum learning opportunities.     

Opening up the black box: Teacher competence,instructional quality,and students’ learning progress

Existing research indicates inconsistent or at best weak predictive effects of teacher knowledge on student achievement. Data from Germany were used to examine the relation between teachers' content and pedagogical content knowledge, their perception, interpretation, and decision-making skills, the instructional quality implemented in class, and students' learning progression in mathematics. Rather than direct effects of teacher knowledge on students, we hypothesized an effect chain with multiple mediation processes while controlling for school type and student background. Multi-level modeling with 3496 students from 154 classrooms revealed a mediating role of teachers' skills and their instructional quality for the relation between teacher knowledge and students' learning progress. Effect sizes were medium to strong, and the model explained a large amount of variance. No direct effects of teachers’ knowledge on student progress were found. We discuss our findings with respect to the teacher-competence-as-a-continuum model and with respect to future research.     

Verbal and graphical strategies in the teaching of economics

This study tested the hypothesis that teaching concepts in high school economics first in a familiar mode or symbol system and then elaborating on them in a second or less familiar mode facilitates classroom learning. In an experimental design, 83 high school seniors were individually assigned at random to three classes, which in turn were randomly assigned to three different classroom instructional treatments, each having a duration of 10 hours and taught by the students' regular economics teachers. It was predicted and found that comprehension of economics is facilitated by a teaching strategy that initially presents the concepts in a familiar verbal mode and then presents them in a more abstract mode using graphs or other instructive imagery. This strategy compared favorably with two alternative procedures, one presenting the same content first in graphs and then verbally (p<0.001), and the other using only one mode of presentation (p<0.01). These results imply that the type and order of presentation of symbol systems influence the learning of concepts in high school economics classes by facilitating or interfering with the generation of relations between prior knowledge and new information. The results imply that presenting economics concepts in two symbol systems, rather than one, facilitates learning, provided, contrary to customary teaching methods, that the teacher uses the familiar verbal presentation first and follows it with an integrative but less familiar graphic presentation.     

Snapshots of student-teachers' experiences of DVDs in a learner support programme in a developing ODL context

Abstract

The School of Continuing Teacher Education (SCTE) in South Africa delivers an Advanced Certificate in Education (ACE) Learner Support Programme to Open Distance Learning (ODL) students in Namibia, a developing sub-Saharan African country. This paper examines the experiences of student-teachers using DVDs included in the tutorial package. Fifteen participants from rural and remote areas of Namibia took part in a semi-structured focus group and individual interviews. A first phase analysis identified a set of codes and categories that guided the researchers to two themes to using DVDs: frustration and attitude. Student-teachers' frustration and attitude towards DVDs are linked to sufficient appropriate information, also available as a paper-based tutorial package. Although electronic learning material can assist in achieving curriculum goals and enrich students' learning experiences, students' expectations are paramount in the design and development of instructional DVDs.     

The relationship between students' learning strategies and the change in their misunderstandings during a high school chemistry course

The purposes of this study are as follows: (a) to investigate the relationship between high school students' learning approaches, prior knowledge and attitudes toward chemistry, and their performance on a misunderstandings test; and (b) to describe and analyze the differences between the responses of students with different learning approaches on the same test. Forty-nine suburban high school students enrolled in two sections of New York State Regents Chemistry classes participated in the study. The students' performance on a misunderstandings pretest and the students' learning approach both accounted for a statistically significant proportion of the variance on their performance on the misunderstandings posttest. Additionally, the results showed that the relatively meaningful learners performed significantly better than the relatively rote learners on the misunderstandings posttest.     

Comparing Classroom Enactments of an Inquiry Curriculum: Lessons Learned From Two Teachers

Abstract

Examining how teachers structure the activities in a unit and how they facilitate classroom discussion is important to understand how innovative technology-rich curricula work in the context of classroom instruction. This study compared 2 enactments of an inquiry curriculum, then examined students' learning outcomes in classes taught by 2 teachers. The quantitative data show that there were significant differences in the learning outcomes of students in classes of the 2 teachers. This study then examined classroom enactments by the 2 teachers to understand the differences in the learning outcomes. This research specifically focused on how teacher-led discussions (a) helped connect the activities within a curriculum unit and (b) enabled deeper conceptual understanding by helping students make connections between science concepts and principles. This study examined the role that teacher facilitation played in helping students focus on the relations between the various activities in the unit and the concepts that they were learning. The results point to important differences in the 2 enactments, helping to understand better what strategies might enable a deeper conceptual understanding of the science content.     

The Comparative Effects of Prediction/Discussion‐Based Learning Cycle,Conceptual Change Text,and Traditional Instructions on Student Understanding of Genetics

The present study examined the comparative effects of a prediction/discussion‐based learning cycle, conceptual change text (CCT), and traditional instructions on students' understanding of genetics concepts. A quasi‐experimental research design of the pre‐test–post‐test non‐equivalent control group was adopted. The three intact classes, taught by the same science teacher, were randomly assigned as prediction/discussion‐based learning cycle class (N = 30), CCT class (N = 25), and traditional class (N = 26). Participants completed the genetics concept test as pre‐test, post‐test, and delayed post‐test to examine the effects of instructional strategies on their genetics understanding and retention. While the dependent variable of this study was students' understanding of genetics, the independent variables were time (Time 1, Time 2, and Time 3) and mode of instruction. The mixed between‐within subjects analysis of variance revealed that students in both prediction/discussion‐based learning cycle and CCT groups understood the genetics concepts and retained their knowledge significantly better than students in the traditional instruction group.     

“Double-Dose” Algebra as an Alternative Strategy to Remediation: Effects on Students' Academic Outcomes

Abstract

Expanded instructional time has become increasingly popular as a strategy to improve the academic outcomes of low-skilled students, particularly in the 9th grade. We evaluate the efficacy of a double-period algebra policy initiated in the Chicago Public Schools in 2003. This policy required all students with 8th-grade test scores below the national median to enroll in a support algebra course in addition to regular algebra in the 9th grade. Using regression discontinuity combined with interrupted time series designs, and instrumental variable models, we show the effects of the policy on students' grades, failure rates and test scores in 9th-grade algebra and 10th-grade geometry. Providing support courses improved algebra test scores for the target population but only modestly affected grades and failure rates. Students with very low initial abilities benefited less than students close to the national median. The policy also led schools to track algebra classes by students' entering math skills. As a result, it affected academic outcomes among students not targeted by the policy; test scores among high-ability students improved whereas their grades declined.