Tablet-based AR technology: Impacts on students’ conceptions and approaches to learning mathematics according to their self-efficacy

Most studies of Augmented Reality (AR) in education have considered students’ learning outcomes and motivation. Previous studies have revealed that AR has the potential to help students learn abstract conceptions in mathematics. In this paper, a series of statistics and probability lessons using AR installed on tablets was designed and developed to examine the effect of the AR technology by comparing the conceptions and learning approaches of junior high school students with different levels of self-efficacy. A total of 101 students were divided into two groups based on their mathematics learning self-efficacy. The analysis of the results shows that AR applications in mathematics courses can help students with higher self-efficacy to pay closer attention to higher level conceptions. It can also help higher self-efficacy students to apply more advanced strategies when learning mathematics.     

The influences of conceptions of mathematics and self‐directed learning skills on university students' achievement in mathematics

This study tested the mediating role of self‐directed learning skills (SDL) between students’ conceptions of mathematics and their achievement in mathematics using a structural equation model. Data were collected using the “Conceptions of Mathematics Questionnaire” and the “Self‐Rating Scale of Self‐Directed Learning”, together with students’ achievement in mathematics. A sample of 440 first year university students at King Saud University participated in the study. The findings confirm the moderating role of students’ self‐directed learning skills between their conceptions of mathematics and their achievement in mathematics. Students who have a highly fragmented conception of mathematics tended to have low SDL skills, and in turn low mathematics achievement (partial mediation), whereas students who have a highly cohesive conception of mathematics tended to have high self‐directed learning skills, and in turn high mathematics achievement (full mediation). Mathematics educators should be aware that students’ conceptions of mathematics may be influential, but not sufficient to predict achievement in mathematics. Equipping students with appropriate conceptions of mathematics and self‐directed learning skills is key to enhancing their performance in mathematics.     

Linking university mathematics classroom environments to student achievement: The mediation of mathematics beliefs

This study examined the relationships between university mathematics classroom environments, mathematics beliefs, and achievement in the context of mainland China. As a type of affect in mathematics learning, mathematics beliefs including mathematics conceptions and efficacy were examined as mediators. Based on analysis of a sample of 1443 undergraduate students from a university in northern China, the study not only found that the mathematics classroom environment was associated with both affective and cognitive mathematics outcomes, but also confirmed the mediating role of mathematics beliefs. Specifically, a desirable classroom environment was related to students’ cohesive conceptions, enhanced self-efficacy, and higher mathematics achievement. In contrast, students’ perceived difficulty of learning mathematics was connected to their fragmented conceptions, reduced self-efficacy and lower mathematics achievement. Implications of the study are discussed.     

Investigating the interrelationships among conceptions of,approaches to,and self-efficacy in learning science

The purpose of this study was to examine the relations between primary school students’ conceptions of, approaches to, and self-efficacy in learning science in Mainland China. A total of 1049 primary school students from Mainland China participated in this study. Three instruments were adapted to measure students’ conceptions of learning science, approaches to learning science, and self-efficacy. The exploratory factor analysis and confirmatory factor analysis were adopted to validate three instruments. The path analysis was employed to understand the relationships between conceptions of learning science, approaches to learning science, and self-efficacy. The findings indicated that students’ lower level conceptions of learning science positively influenced their surface approaches in learning science. Higher level conceptions of learning science had a positive influence on deep approaches and a negative influence on surface approaches to learning science. Furthermore, self-efficacy was also a hierarchical construct and can be divided into the lower level and higher level. Only students’ deep approaches to learning science had a positive influence on their lower and higher level of self-efficacy in learning science. The results were discussed in the context of the implications for teachers and future studies.     

High school students’ approaches to learning physics with relationship to epistemic views on physics and conceptions of learning physics

Background and purpose : Knowing how students learn physics is a central goal of physics education. The major purpose of this study is to examine the strength of the predictive power of students’ epistemic views and conceptions of learning in terms of their approaches to learning in physics. Sample, design and method : A total of 279 Taiwanese high school students ranging from 15 to 18?years old participated in this study. Three questionnaires for assessing high school students’ epistemic views on physics, conceptions of learning physics and approaches to learning physics were developed. Step-wise regression was performed to examine the predictive power of epistemic views on physics and conceptions of learning physics in terms of their approaches to learning physics. Results and conclusion: The results indicated that, in general, compared to epistemic views on physics, conceptions of learning physics are more powerful in predicting students’ approaches to learning physics in light of the regression models. That is, students’ beliefs about learning, compared with their beliefs about knowledge, may be more associated with their learning approaches. Moreover, this study revealed that the higher-level conceptions of learning physics such as ‘Seeing in a new way’ were more likely to be positively correlated with the deep approaches to learning physics, whereas the lower-level conceptions such as ‘Testing’ were more likely to positively explain the surface approaches, as well as to negatively predict the deep approaches to learning physics.     

Undergraduate students’ earth science learning: relationships among conceptions,approaches, and learning self-efficacy in Taiwan

In the area of science education research, studies have attempted to investigate conceptions of learning, approaches to learning, and self-efficacy, mainly focusing on science in general or on specific subjects such as biology, physics, and chemistry. However, few empirical studies have probed students’ earth science learning. This study aimed to explore the relationships among undergraduates’ conceptions of, approaches to, and self-efficacy for learning earth science by adopting the structural equation modeling technique. A total of 268 Taiwanese undergraduates (144 females) participated in this study. Three instruments were modified to assess the students’ conceptions of, approaches to, and self-efficacy for learning earth science. The results indicated that students’ conceptions of learning made a significant contribution to their approaches to learning, which were consequently correlated with their learning self-efficacy. More specifically, students with stronger agreement that learning earth science involves applying the knowledge and skills learned to unknown problems were prone to possess higher confidence in learning earth science. Moreover, students viewing earth science learning as understanding earth science knowledge were more likely to adopt meaningful strategies to learn earth science, and hence expressed a higher sense of self-efficacy. Based on the results, practical implications and suggestions for future research are discussed.     

Variation in Student Reflections on their Conceptions of and Approaches to Learning Biochemistry in a First‐year Health Sciences’ Service Subject

Many factors affect students’ learning approaches, including topic conceptions and prior study. This research, undertaken after a first‐semester compulsory subject, explores students’ conceptions of biochemistry and how they approached their studies. Students (n=151) completed an open‐ended survey analysed phenomenographically. Those with cohesive conceptions were found to be more likely to adopt deeper approaches to study than those with fragmented conceptions, a result unaffected by various demographic parameters. Compared with earlier research, a semester of study increased the percentage of students with a cohesive view, with no concomitant change in learning approaches, suggesting that cohesive conceptions are a necessary but not sufficient criterion for deep learning outcomes. Compared with results for a science major subject, more of the students with cohesive conceptions used surface approaches. This may reflect a regression to safe surface approaches when faced with an unfamiliar topic or high total workload driving a strategic approach to learning. It could also reflect a perception that this material is only a tool for later application. The present findings indicate the crucial importance, when university studies begin, of enabling students to build an overarching conception of the topic’s place in professional practice. This concept building should be applied across the entire curriculum to emphasize application and integration of material (key graduate attributes). Improved conceptions may provide crucial motivation for students to achieve deeper learning, especially in these foundation service subjects. These essential changes to the learning context may also better prepare students for increasing self‐directed/life‐long learning.     

IDENTIFICATION AND ASSESSMENT OF TAIWANESE CHILDREN’S CONCEPTIONS OF LEARNING MATHEMATICS

The aim of the present study was to identify children’s conceptions of learning mathematics and to assess the identified conceptions. Children’s conceptions are identified by interviewing 73 grade 5 students in Taiwan. The interviews are analyzed using qualitative data analysis methods, which results in a structure of 5 major conceptions, each having 2 subconceptions: constructivist (interest and understanding), interpretivist (liberty and innovation), objectivist (academic goal and perseverance), nativist (confidence and anxiety (reverse)), and pragmatist (vocational goal and application). The conceptions are assessed with a self-developed questionnaire, titled “the Conception of Learning Mathematics Questionnaire” (CLMQ), which is administered to 513 grade 5 students in Taiwan and examined with a reliability measure, confirmatory factor analysis, and correlations with 2 criteria: mathematics achievement and approaches to learning mathematics. The results show that the CLMQ has desirable internal consistency reliability and construct validity. The conceptions are also sensibly in relation to the 2 criteria, suggesting that the CLMQ is a valid measure for evaluating the quality of children’s learning mathematics in relation to teaching contexts.     

Students’ Views of Learning in Vocational Education

The aim of this study was to investigate students’ conceptions of learning and approaches to learning within vocational education. A group of car‐mechanic students (n = 30) were interviewed at the end of their programme. The phenomenographic approach was used as the point of departure, and, as a result of the analysis, qualitative similarities and differences in students’ conceptions and approaches were found. The distribution of conceptions and approaches showed that half of students were classified as representing a quantitative view of learning and as favouring a surface approach. However, in order to encourage students to develop a qualitative view of learning and to use deep approaches, more attention must be paid to the ways in which students conceive learning within the school context and how they actually do in order to meet the demands they experience within their education.     

Conceptions of and approaches to learning through online peer assessment

The present study investigated junior college students' conceptions of and approaches to learning via online peer assessment (PA) using a phenomenographic approach. Participants were 163 college students. Students were asked to accomplish a given learning task via an online PA system. Of the participants, 62 were interviewed after the activity. The interviews revealed hierarchically related and qualitatively different categories of conceptions and approaches to learning via online PA. The main and achieved levels of conceptions of and approaches to learning were determined. The results showed that, within each level, conceptions emphasizing a fragmented and cohesive learning tended to be associated with approaches focusing on surface and deep learning, respectively. In addition, students with cohesive learning conceptions and deep learning approaches were likely to make greater progress in the early stages of online PA activity. The present study finally found that approaches to learning via online PA were less related to the learning outcomes than conceptions of learning.     

Learning science through writing: associations with prior conceptions of writing and perceptions of a writing program

Students in a large undergraduate biology course were expected to write a scientific report as a key part of their course design. This study investigates the quality of learning arising from the writing experience and how it relates to the quality of students’ preconceptions of learning through writing and their perceptions of their writing program that led to their report. Closed‐ended questionnaires investigating student conceptions and perceptions of writing, and approaches to writing, were completed by 121 students. Significant associations were found amongst qualitatively different prior and post conceptions of writing, approaches to writing and achievement. The results of the analyses suggest that the effective support of student experiences of writing reports requires teachers to be aware of the type of conceptions that students bring to their course and the perceptions they hold about the purpose of the writing program in which they are engaged.     

Students' Conceptions of Learning,the Classroom Environment,and Approaches to Learning

Abstract

A model that hypothesized relationships between high school students' conceptions of learning, their percpetions of the classroom environment, and their approaches to learning was tested using structural equation modeling. Results suggested that important associations exist between conceptions of learning and approaches to learning. Students who reported qualitative and experiential conceptions were likely to use deep approaches to learning, whereas students who had quantitative conceptions of learning tended to use surface approaches. The implications of these findings for teachers and the way they function in the classroom environment are discussed.     

Students’ conceptions of and approaches to knowledge building and its relationship to learning outcomes

The purpose of this study is to investigate the relationships among students’ conceptions of knowledge building, approaches to knowledge building, knowledge-building behaviors and learning outcomes. A total of 48 primary school students (from grades 3 and 4) who had experienced knowledge-building activities participated in the present study. After analyzing the students’ interview responses using the phenomenographic method, qualitatively different and hierarchically related conceptions and approaches were revealed. The results indicated that the students with fragmented conceptions tended to use surface approaches to knowledge building while those with cohesive conceptions tended to adopt deep approaches. The findings also indicate that the students with cohesive conceptions or deep approaches were more likely to have better learning outcomes than those with fragmented conceptions or surface approaches.     

Students’ conceptions of good teaching in three different disciplines

This paper explores students’ conceptions of good teaching in three different disciplines. Moreover, the aim is to explore the relation between these conceptions and students’ approaches to learning by combining qualitative and quantitative methods. A total of 695 students from the Faculties of Behavioural Sciences, Law and Veterinary Medicine participated in the study. The students’ conceptions of good teaching were analysed using a qualitative content analysis. Furthermore, the students were assigned to homogenous subgroups on the basis of their responses to items measuring approaches to learning and the differences between these subgroups and the students’ conceptions were examined. The association between the conceptions, disciplines and approaches to learning were examined using Chi‐square tests. Twenty‐one dimensions were created from the data and 12 of them differed between the disciplines. Only one dimension differed between the student groups. The study suggests that there is disciplinary variation in students’ conceptions of good teaching and universities should take this into account in the development process of the student evaluation system.     

Learning in formal and informal contexts: conceptions and strategies of Aboriginal and Torres Strait Islander university students

Research suggests that students' approaches to learning and hence learning outcomes are closely related to their conceptions of learning. This paper describes an investigation into conceptions of formal learning held by 22 Aboriginal and Torres Strait Islander students from three Australian universities in Queensland; categories of informal learning, reasons for studying and strategies used to learn were also investigated. The attrition rate for these students in tertiary education is higher than that of any other group of students. The main aim of this study was to determine their conceptions of learning in order to provide information that might facilitate instruction more suited to their needs in order to address the high attrition rate. Results showed that these students view and approach university learning in much the same way as other university students. It was also apparent that, for the most part, the strategies these students used did not match the conceptions of learning they held. An interesting result was the difference between the conceptions of formal learning and perceptions of informal learning.     

Relations between teachers' approaches to teaching and students' approaches to learning

This paper reports on an empirical study which shows that qualitatively different approaches to teaching are associated with qualitatively different approaches to learning. More specifically, the results indicate that in the classes where teachers describe their approach to teaching as having a focus on what they do and on transmitting knowledge, students are more likely to report that they adopt a surface approach to the learning of that subject. Conversely, but less strongly, in the classes where students report adopting significantly deeper approaches to learning, teaching staff report adopting approaches to teaching that are more oriented towards students and to changing the students conceptions. The study made use of a teaching approach inventory derived from interviews with academic staff, and a modified approach to learning questionnaire. These conclusions are derived from a factor and cluster analysis of 48 classes (involving 46 science teachers and 3956 science students) in Australian universities. The results complete a chain of relations from teacher thinking to the outcomes of student learning. Previous studies have shown relations between teachers' conceptions of teaching and learning and their approaches to teaching. Numerous studies have shown correlations between students' deeper approaches to learning and higher quality learning outcomes. The results reported here link these two sets of studies. They also highlight the importance, in attempts to improve the quality of student learning, of discouraging teacher-focused transmission teaching and encouraging higher quality, conceptual change/student-focused approaches to teaching.     

A Study of Prospective Primary Teachers’ Conceptions of Teaching And Learning School Geometry

There are two basic guiding referents in the present investigation: the teaching and learning of school-level geometry (basic concepts of Euclidian geometry and measure) and the analysis of the conceptions of prospective primary teachers in Spain. The work assumes that such conceptions appear and develop during school years, and that consequently, for the prospective teachers to learn to teach mathematics, account must be taken of the requirements that arise from these conceptions themselves and from the prospective teachers’ knowledge of school-level mathematics. The objective of the study was to describe and analyse prospective primary teachers’ conceptions of school-level geometry and it teaching and learning. To this end, we considered the hypothesis that the students’ memories and expectations provide information with which to characterize their conceptions of the field of geometry and its teaching/learning at the primary school level.     

Students' conceptions of learning in an engineering context

Research on student learning in higher education has highlighted the central role that students' conceptions of learning play in influencing their approaches to learning. This article reports on a study of conceptions of learning among engineering students on a one-year foundation course. Students were interviewed about their conceptions of learning at three intervals during their academic year. The data was analysed using a phenomenographic perspective and from the data five qualitatively different conceptions of learning were identified. The resulting characterisation of these conceptions of learning is presented using excerpts from the interviews and some implications for student learning are discussed.     

数学生活化的含义与功能及其情境标准

数学生活化是指以生活化的素材与方式展开数学教学,包含了"生活化"和"数学化"两个维度.数学生活化是激发数学学习兴趣的途径,促进数学深刻理解的阶梯,培养抽象概括能力的素材,积累数学活动经验的载体,形成合理数学观念的基石.生活化的情境应该体现数学知识本质,引发学生数学思维,指向数学教学目标\源自真实生活情境,基于学生知识经验.