Social Representations of High School Students About Mathematics Assessment

The perceptions of students about assessment in mathematics classes have been sparsely investigated. In order to fill this gap, this qualitative study aims to identify the social representations (understood as the system of values, ideas, and practices about a social object) of high school students regarding assessment in mathematics. We used semistructured focus group interviews to obtain data (N = 50). The data were examined using theoretical thematic analysis with the assistance of the specialized ATLAS.ti software. Eight themes or social representations emerged (e.g., assessment that measures the students' learning or assessment that measures the advances or what has been acquired). The results are consistent with literature that shows that students' representations about assessment in mathematics are closely linked to their representations of mathematics itself and the learning of it and also to their representation of what is fair and what is not.     

Motivation factors and barriers to the continuous use of blended learning approach using Moodle: students' perceptions and individual differences

ABSTRACT

Practitioners of blended learning encounter challenges on how to cater students individual needs and to increase their motivational involvement with the system. Therefore, this study aims to identify and evaluate the motivation factors and barriers that influence students' decisions to continue using blended learning based on Moodle platform. The study proposes a research model to gain a better understanding of students' behavioural attitudes, motivations, and barriers to the continuous use of blended learning. In addition, a multi-group analysis was conducted to examine individual differences between students from three different universities in Palestine. The findings provide a comprehensive understanding of students' behaviours and the investigated factors of the proposed model were truly significant in forming students' perceptions and reflecting their decisions to continue using such learning approach. Features of blended learning system were found to be the most significant motivational antecedents in relation to influencing students' perceptions and involvements in the learning environment, while perceived behavioural control and subjective norms were found to be the primary factors driving students' continuous use. Finally, the findings shed light on the impact of individual differences on students' perceptions and usage behaviours and suggest that these differences could be leveraged to provide adaptive usage decisions.     

STEM learning attitude predicts computational thinking skills among primary school students

Computational thinking (CT) plays a vital role in the fields of science, technology, engineering and mathematics (STEM). However, whether students' learning attitude towards STEM is related to their CT skills remains unknown. Two studies were conducted to address this knowledge gap. In Study 1, we validated a newly developed STEM learning attitude scale among a sample of Chinese primary school students (N = 489). Exploratory and confirmatory factor analysis results revealed that the scale which consisted of three factors (mathematics, science and information technology) could sufficiently measure primary school students' STEM learning attitude in the current sample. In Study 2, we explored the association between students' STEM learning attitude and their CT skills. Evidence revealed that learning attitude towards STEM significantly predicted CT skills. We also found that girls had a more positive learning attitude towards STEM than boys, and the fourth grade might be the key period for the development of CT skills. Implications for promoting primary school students' STEM learning and CT skills were also discussed.     

Towards an analysis framework for investigating students' engagement and learning in educational blogs

Educational blogs are currently gaining in popularity in schools and higher education institutions, and they are widely promoted as collaborative tools supporting students' active learning. However, literature review on educational blogging revealed a lack of a complete and consistent framework for studying and assessing students' engagement and the impact of blogging on students' learning. This study reports on the application of an analysis framework for evaluating blogging learning activities, based on two well‐documented models, those of Community of Inquiry (CoI) and Social Network Analysis. The framework proposed is examined through an empirical study involving 21 K‐9 students, coming from two classes, in Greece. This investigation shed light into the different ways of students' engagement in a blog‐based project, namely their social and cognitive presence that supported the development of a CoI and learning. The results suggest that the students, through their different roles in the blog, achieved higher thinking and cognitive levels.     

Inquiry-based mobile learning in secondary school science education: A systematic review

Recent years have seen a growing call for inquiry-based learning in science education, and mobile technologies are perceived as increasingly valuable tools to support this approach. However, there is a lack of understanding of mobile technology-supported inquiry-based learning (mIBL) in secondary science education. More evidence-based, nuanced insights are needed into how using mobile technologies might facilitate students' engagement with various levels of inquiry and enhance their science learning. We, therefore, conducted a robust systematic literature review (SLR) of the research articles on mIBL in secondary school science education that have been published from 2000 to 2019. We reviewed and analysed 31 empirical studies (34 articles) to explore the types of mIBL, and the benefits and constraints of mIBL in secondary school science education. The findings of this SLR suggest new research areas for further exploration and provide implications for science teachers' selection, use and design of mIBL approaches in their teaching.     

Efficiency of learning environment using GeoGebra when calculus contents are learned in collaborative groups

In this paper we present a modern approach of teaching mathematics based on the computer supported collaborative learning (CSCL) of calculus contents. The collaborative learning was used in calculus course at the University of Novi Sad, Serbia, for examining functions and drawing their graphs. In 2012 the authors decided to improve the collaborative learning introducing GeoGebra application. Small four member groups were formed by using Kagan's (1994) principles. Two groups of students, the experimental, and the control one were observed. The students in the experimental group learned with the help of GeoGebra, and the students in the control group learned without using GeoGebra.Comparison between those two groups of the first year calculus students, regarding their way of learning and the results achieved, is described below. Before the students' collaborative learning, they were tested with a pre-test and their knowledge necessary for examining functions was verified. The pre-test showed that there was no significant statistical difference between the experimental and the control group. The experimental group worked with the help of the computer and the control one without it. After the collaborative learning, the students were tested with a test (colloquium) and the results of the experimental group were significantly better than the results of students in the control group. At the end of the course the students did their exams (post-test), and the results of the experimental group were significantly better than the results of students in the control group.Some students from the experimental group had to answer questions in an interview related to the use of GeoGebra during their collaborative learning. In order to see the students' difficulties in solving problems, students in the experimental group were asked to cross out incorrect parts of solutions, not to erase them. The teachers reviewed the students' tasks done during the collaborative learning and after that the students who had corrected their mistakes were invited for an interview about using GeoGebra for overcoming their difficulties. Based on the students' results in the tests, answers in the questionnaire and in the interview, it can be concluded that GeoGebra has enabled an easier learning of this material. The GeoGebra package enables the students to check whether each step in the process of solving a task was correctly done or not. The results of our research show that GeoGebra can help those students having insufficient knowledge (necessary for solving those tasks) to improve it.We can say that our research shows that the students' learning achievement in examining functions and drawing their graphs is better when they use GeoGebra, working in collaborative groups than without using it. Also, GeoGebra enables creation of effective learning environment for examining functions and drawing their graphs.     

Interactive computer simulation and animation for improving student learning of particle kinetics

Computer simulation and animation (CSA) has been receiving growing attention and wide application in engineering education in recent years. A new interactive CSA module was developed in the present study to improve student learning of particle kinetics in an undergraduate engineering dynamics course. The unique feature of this CSA module is that it integrates computer visualization with mathematical modeling, so students can directly connect engineering dynamics phenomena to underlying mathematics. A quasi‐experimental pretest–post‐test research design including a comparison group (n = 65) and an intervention group (n = 77) was implemented to assess to what extent the developed CSA module improved student learning. The results show that this new CSA module increased students' class‐average conceptual and procedural learning gains by 29% and 37% respectively. The difference in learning gains between the two groups is statistically significant (Z = ?4.526, p = 0.000) based on a nonparametric statistical Mann–Whitney U test. It is found that the improvement of students' conceptual understanding and the improvement of their procedural skills are asymmetrical in this CSA learning environment. The CSA module can serve as an excellent tool to supplement traditional lectures, but cannot fully replace human teachers or tutors in teaching.     

Casting shadows in the science classroom

Abstract

Research in mathematics and science education frequently directs one's attention to the limited content knowledge of elementary pre‐service teachers. It is believed, however, that research of this nature leads to a deficit approach to understanding more about the teaching and learning of these subjects. In addition to focusing on the knowers of school mathematics and science, there is a call to acknowledge the problematic nature of knowing (in) mathematics and science. In this paper, the metaphor of shadows is used in a critical exploration of what it means to know and how the cultures of classrooms have shaped these images of knowing. Through the voices of pre‐service teachers, this paper directs one's attention to objects that cast shadows on the learning and knowing of mathematics and science. Three such shadow‐casting objects discussed in this paper are textbooks, teachers, and gendered ideology. The paper seeks to critically illuminate the problematic nature of what it means to know (in) mathematics and science by examining the shadowy texture of unquestioned ideologies.     

Calculus Students' Use and Interpretation of Variables: Algebraic vs. Arithmetic Thinking

Abstract

The ability to use and interpret algebraic variables as generalized numbers and changing quantities is fundamental to the learning of calculus. This study considers the use of variables in these advanced ways as a component of algebraic thinking. College introductory calculus students' (n = 174) written responses to algebra problems requiring the use and interpretation of variables as changing quantities were examined for evidence of algebraic and arithmetic thinking. A framework was developed to describe and categorize examples of algebraic, transitional, and arithmetic thinking reflected in these students' uses of variables. The extent to which students' responses showed evidence of algebraic or arithmetic thinking was quantified and related to their course grades. Only one third of the responses of these entering calculus students were identified as representative of algebraic thinking. This study extends previous research by showing that evidence of algebraic thinking in students' work was positively related to successful performance in calculus.     

Team members' perceptions of online teamwork learning experiences and building teamwork trust: A qualitative study

Teamwork factors can facilitate team members, committing themselves to the purposes of maximizing their own and others' contributions and successes. It is important for online instructors to comprehend students' expectations on learning collaboratively. The aims of this study were to investigate online collaborative learning experiences and to identify important factors that were crucial for building teamwork trust. A qualitative research method was utilized in the study. Data were collected from students' responses of three open-ended questions and interviews. The results indicated that students who enjoyed working in the group setting had a good relationship with their team members and they trusted their team members. In contrast, the questionable behaviors of members (lack of communication and low level of individual accountability) were negative factors of their teamwork experiences. In addition, students considered individual accountability, familiarity with team members, commitment toward quality work, and team cohesion were important factors for building trust with team members. Quantitative analyses confirmed that teamwork trust was correlated significantly with two of the important factors for building trust indicated by team members: familiarity with members (r = .74) and team cohesion (r = .79). Implications and recommendations for future research were also discussed.     

Patterns of students' collaborations by variations in their learning orientations in blended course designs: How is it associated with academic achievement?

Background

While a number of learner factors have been identified to impact students' collaborative learning, there has been little systematic research into how patterns of students' collaborative learning may differ by their learning orientations.

Objectives

This study aimed to investigate: (1) variations in students' learning orientations by their conceptions, approaches, and perceptions; (2) the patterns of students' collaborations by variations in their learning orientations and (3) the contribution of patterns of collaborations to academic achievement.

Methods

A cohort of 174 Chinese undergraduates in a blended engineering course were surveyed for their conceptions of learning, approaches to learning and to using online learning technologies, and perceptions of e-learning, to identify variations in their learning orientations. Students' collaborations and mode of collaborations were collected through an open-ended social network analysis (SNA) questionnaire.

Results and Conclusions

A hierarchical cluster analysis identified an ‘understanding’ and ‘reproducing’ learning orientations. Based on students' learning orientations and their choices to collaborate, students were categorized into three mutually exclusive collaborative group, namely Understanding Collaborative group, Reproducing Collaborative group and Mixed Collaborative group. SNA centrality measures demonstrated that students in the Understanding Collaborative group had more collaborations and stayed in a better position in terms of capacity to gather information. Both students' approaches to learning and students' average collaborations significantly contributed to their academic achievement, explaining 3% and 4% of variance in their academic achievement respectively. The results suggest that fostering a desirable learning orientation may help improve students' collaborative learning.     

A context-aware video prompt approach to improving students' in-field reflection levels

Engaging students in reflection during real-world observation and inquiry activities has been recognized as an important issue for improving students' learning achievement and motivation. Many studies in the literature have adopted text-based reflection prompts as an important strategy to promote learning performance, this study argues that using videos as a reflection prompt would be more effective for improving learners' ubiquitous learning experiences and can provide a more sensible scenario that is better fitting the real-world contexts than the text-based prompts. In this study, a context-aware video-based prompt approach is proposed for improving students' reflection levels and satisfaction by providing timely and personalized guidance using mobile, wireless communication and sensing technologies. An experiment was conducted for evaluating the effectiveness of the proposed video-based prompt strategy with 70 participants in two groups. The results show that learners' reflection levels were significantly improved with the use of the proposed approach and that positive attitudes were observed toward the use of video-based prompts in the context-aware ubiquitous learning environment.     

Effects of interactivity and instructional scaffolding on learning: Self-regulation in online video-based environments

Online learning often requires learners to be self-directed and engaged. The present study examined students' self-regulatory behaviors in online video-based learning environments. Using an experimental design, this study investigated the effects of a newly designed enhanced video learning environment, which was designed to support or scaffold students' self-regulated or self-directed learning on students' learning behaviors and outcomes. In addition, correspondence between students' self-regulation strategies in traditional learning environments and observed self-regulated learning behaviors in the enhanced video environment were examined. A cross-sectional experimental research design with systematic random assignment of participants to either the control condition (common video) or the experimental condition (enhanced video) was utilized. Undergraduate and graduate students participated in the study (N = 80). Study results indicate that the newly designed enhanced video learning environment was a superior instructional tool than the common video learning environment in terms students' learning performance. In addition, there was correspondence between graduate students' self-reported self-regulation and observed self-regulation, with those high on seeking/learning information and managing their environment/behavior more likely to engage more in interactive note-taking.     

The aesthetic in mathematics as story

Abstract

Human cognition is story based. We think in terms of stories; we understand the world in terms of stories that we have already understood; we learn by living and accommodating new stories; and we define ourselves through the stories we tell ourselves. In this paper we conceptualize mathematical engagement as aesthetic and place it within the context of mathematics as story. We imagine mathematics teaching and learning experiences as stories acted out on an educational stage. We consider what types of teacher and student roles make good mathematical stories and make a classroom story worth living and discuss the roles the aesthetic may play within such stories. We contend that mathematics is an aesthetic and a storied experience. In this paper we explore the interplay between what is anaesthetic mathematics experience and what is a good mathematics story. We do this in the context of a mathematical applet, namely the Colour Calculator (Sinclair, 2001), and in the context of our research into the mathematical and pedagogical thinking of elementary mathematics teachers. In the end, we suggest that it is redundant to use both aesthetic and story to describe the mathematics experience, as stories are aesthetic in nature. First, however, we discuss what we mean by aesthetic and by story.     

A systematic literature review on the use of machine learning in code clone research

Context:Research related to code clones includes detection of clones in software systems, analysis, visualization and management of clones. Detection of semantic clones and management of clones have attracted use of machine learning techniques in code clone related research.Objective:The aim of this study is to report the extent of machine learning usage in code clone related research areas.Method:The paper uses a systematic review method to report the use of machine learning in research related to code clones. The study considers a comprehensive set of 57 articles published in leading conferences, workshops and journals.Results:Code clone related research using machine learning techniques is classified into different categories. Machine learning and deep learning algorithms used in the code clone research are reported. The datasets, features used to train machine learning models and metrics used to evaluate machine learning algorithms are reported. The comparative results of various machine learning algorithms presented in primary studies are reported.Conclusion:The research will help to identify the status of using machine learning in different code clone related research areas. We identify the need of more empirical studies to assess the benefits of machine learning in code clone research and give recommendations for future research.     

Factors influencing students' beliefs about the future in the context of tablet-based interactive classrooms

With the distribution of easy-to-use tablet computers, tablet-based interactive classrooms have become popular environments for innovative learning activities in recent years. However, little research has investigated the relationship between technologically enhanced learning environments and students' beliefs about the future and self-efficacy for learning. In this study, young students' perceptions of tablet-based interactive classrooms, beliefs about the future, and self-efficacy for learning in rural areas of Korea were examined after the students engaged in tablet-based interactive classrooms. To develop the theoretical framework, we created a structural research model of ease of use, usefulness, satisfaction, deepened experiences through tablet use, beliefs about the future, and self-efficacy in tablet-based interactive classrooms based on a partial least squares (PLS) method. The results indicate that (1) students in tablet-based interactive classrooms perceive frequent experiences with tablet-based instructions as easy and useful and (2) student satisfaction is significantly influenced by their perceptions of deeper learning experiences through tablet use, which are significantly influenced by their future expectations and self-efficacy for learning. This study provides relevant implications for educators who design learning activities for students in rural schools in tablet-based interactive classroom environments.     

Pre‐service secondary mathematics teachers’ beliefs about the nature of technology in the classroom

Abstract

This study investigated pre‐service secondary mathematics teachers’ (PSTs) beliefs about teaching mathematics with technology, the experiences in which those beliefs were grounded, and the organizational structure of those beliefs. In particular, this article reports on research that was designed to investigate questions beyond that of whether technology can profitably be used before mathematical content has been mastered (the question about technology most commonly reported in the literature). Beliefs were defined as dispositions to act and were viewed through what is referred to as the sensible system framework. Through the qualitative research methodology called grounded theory, four PSTs were purposefully selected and studied. The primary dimensions of the PSTs’ core beliefs with respect to technology, referred to as their beliefs about the nature of technology in the classroom, were beliefs about the availability of technology, about the purposeful use of technology, and about the importance of teacher knowledge of technology.     

Learning About Ourselves: A Review of The Mathematics Teacher in the Digital Era

ABSTRACT

Mathematics Education in the Digital Era is a title that implies the ubiquity of digital technology in our everyday lives. In fact, it can be argued that digital technology is already ubiquitous for many stakeholders in mathematics education. Volume 2 of this series is titled The Mathematics Teacher in the Digital Era, which implies an exploration of the mathematics teacher as individual agent or actor in the experience of teaching and learning mathematics. What is exciting is the book editors' potentially unintended insights into teachers' affective sense, their beliefs, and their subsequent decisions for future pedagogical effort.