Fostering positive attitude in probability learning using graphing calculator

Although a plethora of research evidence highlights positive and significant outcomes of the incorporation of the Graphing Calculator (GC) in mathematics education, its use in the teaching and learning process appears to be limited. The obvious need to revisit the teaching and learning of Probability has resulted in this study, i.e. to incorporate GC in the teaching and learning of Probability, specifically on the issue of attitudes towards learning probability. The objective is to examine the effectiveness of GC interactive learning, particularly on students’ attitudes towards Probability. A total of 65 foundation students participated in this study; 32 students in the experimental group and 33 in the control group. The teaching approaches varied between the groups. While the experimental group experienced the GC approach, the control group encountered the conventional teaching approach of chalk and talk. Students’ attitude towards learning probability was assessed using the Probability Attitude Inventory (PAI), was administered prior to and after the study. The results show significantly difference in the improved attitude towards Probability between the groups, particularly in terms of usefulness of Probability, interest in Probability and self-concept in Probability. This study provides evidence that learning Probability with GCs benefits students.     

Effects of the handheld technology instructional approach on performances of students of different achievement levels

The handheld technology selected and the ways it is implemented influences the way mathematics is taught and learnt, which in turn generates positive effects in the mathematics education. This study was conducted to examine the effects of handheld technology instructional approaches on performance of students of different achievement levels in Probability at a private higher learning institution in Malaysia. A quasi-experimental study with non-equivalent control group design with pre-test and post-test design was conducted on a sample of 65 students. The sample was divided into the experimental group and control group. The handheld technology instructional approaches, i.e. teaching and learning approaches using the graphing calculator (GC) as a teaching and learning tool and the GC instructional worksheets, were employed in the teaching and learning of probability in the experimental group. The conventional teaching approach was adopted in the control group. Quantitative and qualitative methods were employed to collect and analyse data. Quantitative data was collected using the Probability Achievement Test (PAT). PAT was administered to both groups at the beginning and end of the study. Qualitative data was collected using students' journals. The results show that students, the high, average and low achievers, gained benefits when the handheld technology instructional approaches were used in learning Probability, particularly random variable, poisson distribution, binomial distribution and normal distribution.     

The effects of computer-assisted instruction on the achievement,attitudes and retention of fourth grade mathematics students in North Cyprus

The purpose of this study was to examine the effects of the educational software Frizbi Mathematics 4 on 4th grade student's mathematics achievement, retention, attitudes toward mathematics and attitude toward computer assisted learning. Two groups (experimental and control) of students from the state primary school in Gazimagusa, North Cyprus were used in this study. The control group was taught using a lecture-based traditional instruction and experimental group was taught using educational software, namely Frizbi Mathematics 4. The control group consisted of 26 students while the experimental group consisted of 29 students. The groups were compared on achievement of mathematics, retention, and attitude toward mathematics and computer assisted learning. The study included three units, Multiplication of Natural Numbers, Division of Natural Numbers, and Fractions. Scores on achievement tests were collected three times; at the beginning of the study, immediately after the intervention, and 4 months later. The mathematics attitude scale and computer assisted learning attitude scale were administrated only two times; at the beginning of the study and immediately after the completion of the study. A series of ANOVAs for repeated measures revealed significant difference between the groups on the post achievement tests and attitude scales in favor of experimental group. However, statistically significant differences in favor of the treatment group, on the retention tests were attained on the multiplication and division units but not on fractions. The evidence indicates that Frizbi Mathematics 4 for learning and teaching mathematics at the primary school level in North Cyprus is an effective tool.     

The effects of UZWEBMAT on the probability unit achievement of Turkish eleventh grade students and the reasons for such effects

This study aimed at determining the effects of UZWEBMAT (Turkish abbreviation of Adaptive and INtelligent WEB based MAThematics teaching–learning system) on the probability unit academic achievement of students and the underlying reasons for these effects. The study was conducted in an Anatolian High School located in a district of Trabzon province, Turkey in the fall semester of the academic year 2011–2012. The research sample consisted of 106 eleventh grade students and 2 mathematics teachers. Semi-experimental method was used in the study. Pre-Probability Unit Achievement Test (pre-PUAT), Post-Probability Unit Achievement Test (post-PUAT), Scale for Evaluation of the UZWEBMAT by Students (SEUS), Student Interview Form (SIF), and Teacher Interview Form (TIF) were used for collecting data. Research results indicated that there was a statistically significant difference in favor of the experimental group (EG) students between the academic achievement of the EG students and that of the control group (CG) students. In addition, male EG students were found to be more successful than female EG students. However, no statistically significant relationship was found between the learning styles and the academic achievements of the EG students with different learning styles (visual–auditory–kinesthetic). In addition, no statistically significant relationship was detected between the genders and the academic achievements of the EG students having different learning styles. It was concluded that the higher achievement of the EG students resulted from the fact that they received education in accordance with their learning styles via UZWEBMAT, the learning objects included in UZWEBMAT had appropriate structural characteristics, students enjoyed learning in that environment, and students had continuous interest in the lesson.     

Implementing flipped learning approach based on ‘first principles of instruction’ in mathematics courses

This study investigates the effect of E-learning (EL), blended learning (BL) and flipped learning (FL) approaches on the mathematics achievement, self-regulation and mathematics self-efficacy. Participants consist of 163 first-year students attending an associate degree program (a 2-year program) of a state university. The EL, BL and FL settings in the research were designed based on Merrill's ‘First Principles of Instruction Design Theory’. In the research in which a quasi-experimental pre-test–post-test research design was used, the data were obtained by means of mathematics achievement test, self-regulation and self-efficacy questionnaires. The experimental results showed that the mathematics achievement post-test scores of FL students were significantly higher than those of the students of EL and BL. No significant difference was found between BL and EL settings. In addition, FL students showed significantly higher self-regulation and mathematics self-efficacy than the other groups' students. According to these results, it can be said that the usage of FL approach in mathematics courses has a positive effect on the learning process of students. It is expected that the findings will be helpful in the future design and implementation of mathematics courses at vocational colleges.     

Development of a contextual decision-making game for improving students' learning performance in a health education course

Heath education is an important component of the curriculum for fostering children's correct health knowledge and good daily life habits. However, educators have indicated that most children might fail to realize the importance and meaning of health education content owing to the lack of authentic scenarios and daily life experience. With the advancement of computer technologies, researchers have tried to develop multimedia learning content in order to improve students' learning performance. Among various technology-enhanced learning alternatives, digital game-based learning has been recognized as a highly potential approach to motivating students. However, several previous studies have indicated that, without properly incorporating learning content into game scenarios, the effectiveness of digital game-based learning might not be as good as expected in comparison with conventional technology-enhanced learning. In this study, a contextual digital game was developed for improving students' learning performance in an elementary school health education course. A quasi experiment was conducted to evaluate the effectiveness of the proposed approach by situating the experimental group in the game-based learning scenario and the control group to learn with conventional e-books. The experimental results showed that the proposed approach not only improved the students' learning motivation, but also their learning achievement and problem-solving competences. Moreover, the significant two-way interaction suggested that the contextual game-based learning approach benefited the higher motivation students more than the lower motivation ones in terms of the advanced knowledge, showing the importance and potential of applying contextual games to health education activities.     

The WebQuest model effects on mathematics curriculum learning in elementary school students

Since its inception in 1995, the WebQuest instructional model has received substantial attention from educators who have applied it to teaching activities. However, WebQuest has seldom been applied to mathematical teaching. Therefore, exploring curriculum development and learning achievement in mathematical teaching that integrates the WebQuest model is necessary. The objective of this study is to explore using the WebQuest model for teaching the concepts of proportion in elementary school mathematics, and the subsequent effects on student learning achievements. Furthermore, this study endeavors to understand student learning attitudes and learning satisfaction regarding the WebQuest model. This study employed the quasi-experimental research method, and the participants were two sixth-grade classes with 52 students at a Taiwanese elementary school. The experimental group was taught using WebQuest, while the control group was taught by employing the traditional IT-integrated curriculum. The two groups completed a 5-week course on proportion concepts. The study results indicate the following: (a) Regarding learning achievements, students who learned with the WebQuest model demonstrated superior learning performance than students who were taught using the traditional IT-integrated curriculum; (b) no significant difference existed between the learning attitudes of students who were taught using the WebQuest model and those who learned with the traditional IT-integrated curriculum; (c) on the learning-satisfaction survey, the students who learned with the WebQuest model showed high learning satisfaction, selecting between agree and strongly agree for the 6 dimensions, including WebQuest teaching, IT capability, the assistance of mathematics curriculum, collaborative learning, learning reflection, and learning feedback. This indicates that the students were largely satisfied and identified with the task-oriented WebQuest learning curriculum that was designed in this study. Finally, specific recommendations are made based on the results, providing teachers and future researchers with a reference for integrating the WebQuest model in the mathematics field.     

Enhancing self-perceived effects using Web-based portfolio assessment

This study investigates how implementing a Web portfolio assessment system influences learning effects, including achievement and self-perceived learning performance. The experimental group uses the Web portfolio assessment system, whereas the control group uses conventional assessment. Study subjects are junior high school students in two computer classes. The experimental results are as follows. The Web portfolio assessment system has no significant influence on student achievement. Implementation of the Web portfolio assessment system significantly enhances self-perceived learning performance. The Web portfolio assessment system has different effects on work achievement and self-perceived work performance. The system has no significant effect on improving achievement for poorly and highly motivated students. However, the system is more effective for overall self-perceived learning performance of poorly motivated students than highly motivated students.     

To FLIP or not to FLIP: Comparative case study in higher education in Turkey

The purpose of this study was (1) to investigate the effectiveness of the flipped-classroom approach, when coupled with problem-based learning and cooperative learning, compared to that of a traditional classroom; (2) to investigate the effects of watching videos and of doing homework on achievement in a physics course; and (3) to evaluate students’ perception of the use of the flipped-classroom format in a physics course. In this study, both qualitative and quantitative data were collected. A pre-test/post-test quasi-experimental method with a control group was used. The results showed that homework performance and the amount of video watched (preliminary work before class) were significantly more effective for student achievement in the flipped-classroom. Moreover, although students struggled to adapt to the new system at the beginning, students who know and feel responsible for their own learning can close the gap with more individual and group activities and can achieve higher grades.     

An evaluation study of the use of a cognitive tool in a one-to-one classroom for promoting classroom-based dialogic interaction

An evaluation study was conducted to investigate the effect of the use of a computer-supported cognitive tool (CT) in the one-to-one classroom setting on student engagement, attainment and perceptions in learning common fractions. Two Primary 4 classes with 68 students participated in this study based on 11 teaching sessions lasting 455 min in total. The students in the experimental group learned the target topic with the use of CT in a one-to-one classroom, while the students in the control group learned the target topic under the traditional teaching approach. The results of a time allocation analysis showed that the use of CT in a one-to-one classroom enhanced student engagement in terms of time-on-task for learning exploration during class time. The results of the post-attainment test indicated that students in the experimental group performed better than those in the control group. Moreover, the questionnaire survey results indicated that students liked to learn the target topic with the use of CT in a one-to-one classroom. This study reveals the potential of the use of CT in a one-to-one classroom to promote classroom-based dialogic interaction in mathematics lessons. It also implies a need for a longitudinal study to investigate suitable pedagogical designs for the use of CT for promoting knowledge transfer in learning challenging mathematics topics.     

Is students’ computer use at home related to their mathematical performance at school?

Recent research has provided evidence that students’ computer use at home is positively associated with their performance at school. However, most of the previous studies have failed to take into account the multiple determination of school performance and, in addition, to explain why using computers at home should benefit students’ academic achievement. The study described in this article takes a step towards filling this gap by circumventing the theoretical and methodological problems of previous research. First, we analyzed students’ home computer use and their performance in mathematics while accounting for other factors that have been found to affect students’ achievement. Second, we investigated possible differences in students’ school performance depending on how they used the computer. Based on the data from German students who took part in the Programme for International Student Assessment (PISA) in 2003, our results showed that students’ access to a computer was not linked with their performance in mathematics. In addition, it did not matter how often students used a computer at home. A positive effect on mathematical achievement was, however, observed for a small group of students who used the computer in a self-determined way that largely engaged them in problem-solving activities. Overall, the findings indicate that for the majority of students the computer had no substantial influence on their academic achievement. At the same time, the results are suggestive of ways in which performance in mathematics might be enhanced through the use of computers.     

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.     

Exploring the learning effectiveness of financial literacy from the microworld perspective: Evidence from the simulated transactional interactive concurrent system

Because the microworld can create a learning environment that allows learners to interact with the real world, the view of the microworld has been widely used in education and training. In this study, the simulated transactional interactive concurrent system (STICS) was used to provide an environment that simulates the stock market trading of the Taiwan Stock Exchange; the goal is to explore the effectiveness of using STICS in enhancing the financial literacy of students. This study adopts a quasi-experimental design approach and divides students into two groups. The intervention group was made up of 42 students who learned financial knowledge aided by STICS, with a comparison group consisting of 43 students who learned with traditional lecturing and dictating methods. The study found that learners who used the STICS as an aid to learn financial knowledge had significantly better learning effectiveness than those who did not use STICS, in terms of motivation, attitude, and achievement. The intervention group also made significant improvements in average scores in learning motivation and achievement after 8 weeks of experimental teaching and learning.     

The effect of inquiry-based explorations in a dynamic geometry environment on sixth grade students’ achievements in polygons

The purpose of this study was to investigate the effects of using a dynamic geometry environment (DGE) together with inquiry-based explorations on the sixth grade students’ achievements in polygons and congruency and similarity of polygons. Two groups of sixth grade students were selected for this study: an experimental group composed of 66 students (34 boys and 32 girls); and a control group composed of 68 students (35 boys and 33 girls). The students in the experimental group taught with a DGE, while the students in the control group received textbook-based direct instruction. An achievement test was administered as pre-test, post-test, and delayed post-test in both groups. Qualitative data were collected through videotaped classroom observations. The results showed that the DGE together with open-ended explorations significantly improved students’ performances in polygons and congruency and similarity of polygons. Furthermore, students in the experimental group showed greater interest and motivation toward learning geometry compared to those in the control group whom often showed lack of interest and curiosity. Also, students’ comments and interpretations during lessons and tests were more accurate and advanced in the experimental group as they engage more in the DGE. Moreover, qualitative data suggested that boys showed greater interest in the computer-based learning environment than girls in the experimental groups although no significant gender effect on achievement was found.     

Learning secondary mathematics with technology: Exploring the complex interrelationship between students’ attitudes,engagement, gender and achievement

The aim of this study was to investigate the complex relationship between students’ mathematics confidence, confidence with technology, attitude to learning mathematics with technology, affective engagement and behavioural engagement, achievement, gender and year level. The participants were secondary students from state co-educational schools in Metropolitan Athens, Greece. Gender differences as well as differences between year levels and the resulting clusters of students were investigated by using a MANOVA. It was found that boys expressed more positive views towards mathematics and more positive views towards the use of technology in mathematics, compared to girls. It was also found that high achievement in mathematics was associated with high levels of mathematics confidence, strongly positive levels of affective engagement and behavioural engagement, high confidence in using technology and a strongly positive attitude to learning mathematics with technology. Low levels of mathematics achievement was associated with low levels of mathematics confidence, strongly negative levels of affective engagement and behavioural engagement, low confidence in using technology, and a negative attitude to learning mathematics with technology.     

Outdoor ubiquitous learning or indoor CAL? Achievement and different cognitive loads of college students

The purpose of the present study was to examine the differences in English listening achievement and three types (intrinsic, extraneous, and germane) of cognitive load between outdoor ubiquitous learning (u-learning) and indoor computer-assisted learning (CAL). Participants included 160 university students taking a freshman English course, with 53 males and 107 females. They were randomly assigned to either an experimental group (outdoor u-learning) with 80 participants or a control group (indoor CAL) with 80 participants. The instructional experiment lasted three weeks. The results showed that (a) the experimental group had significantly better English listening achievement than the control group; (b) the experimental group had significantly lower extraneous but higher germane cognitive load than the control group, and both groups did not have a significantly different intrinsic cognitive load; (c) there was a significantly negative relationship between English listening achievement and extraneous cognitive load, a significantly positive relationship between English listening achievement and germane cognitive load, but no significant relationship between English listening achievement and intrinsic cognitive load; and (d) among three types of cognitive loads, only extraneous and germane cognitive loads had a significant correlation. The study may provide some implications for English teaching and u-learning.     

Measuring with Murray: Touchscreen technology and preschoolers' STEM learning

American students rank well below international peers in the disciplines of science, technology, engineering, and mathematics (STEM). Early exposure to STEM-related concepts is critical to later academic achievement. Given the rise of tablet-computer use in early childhood education settings, interactive technology might be one particularly fruitful way of supplementing early STEM education. Using a between-subjects experimental design, we sought to determine whether preschoolers could learn a fundamental math concept (i.e., measurement with non-standard units) from educational technology, and whether interactivity is a crucial component of learning from that technology. Participants who either played an interactive tablet-based game or viewed a non-interactive video demonstrated greater transfer of knowledge than those assigned to a control condition. Interestingly, interactivity contributed to better performance on near transfer tasks, while participants in the non-interactive condition performed better on far transfer tasks. Our findings suggest that, while preschool-aged children can learn early STEM skills from educational technology, interactivity may only further support learning in certain contexts.     

Building virtual cities,inspiring intelligent citizens: Digital games for developing students’ problem solving and learning motivation

This study investigates the effectiveness digital game-based learning (DGBL) on students’ problem solving, learning motivation, and academic achievement. In order to provide substantive empirical evidence, a quasi-experimental design was implemented over the course of a full semester (23 weeks). Two ninth-grade Civics and Society classes, with a total of 44 students (15–16 years old), were randomly assigned to one of two conditions: an experimental group (incorporating DGBL) and a comparison group (taught using traditional instruction). Two-way mixed ANOVA was employed to evaluate changes in problem solving ability and compare the effectiveness the two strategies, while ANCOVA was used to analyze the effects on learning motivation and academic achievement. The results of this study are summarized as follows: (1) The DGBL strategy was clearly effective in promoting students’ problem solving skills, while the control group showed no improvement. Additionally, data from the mid-test and post-test demonstrate that, as a higher order thinking skill, problem-solving requires a full semester to develop. (2). DGBL resulted in better learning motivation for students in the experimental group as compared to learners receiving TI. (3) Contrary to some suggestions that digital games could inhibit academic achievement, no statistically significant difference was found between the two groups. Most importantly, the quantitative improvement in problem-solving and learning motivation suggest that DGBL can be exploited as a useful and productive tool to support students in effective learning while enhancing the classroom atmosphere. Future research in DGBL should emphasize the evaluation of other higher order elements of the cognitive domain in terms of academic achievement outcomes and skills, such as critical and creative thinking.     

Stability and change in adolescents’ task-specific achievement goals and implications for learning mathematics with intelligent tutors

Individuals’ achievement goals are known to influence learning behaviors and academic achievement. However, prior research also indicates that undergraduates’ achievement goals for psychology coursework vary from assignment to assignment. The effect of stability of achievement goals on learning behaviors and outcomes has yet to be explored. This study examined how adolescents’ achievement goals varied over mathematics units completed in an intelligent tutoring system, and whether strength or variability in achievement goals influenced behavior or achievement. At the group level, achievement goals correlated significantly from unit to unit; mean scores were not significantly different over time. However, individuals’ goal scores changed reliably across units. No relationships were found between the strength of students’ achievement goal scores and learning behaviors or performance. However, students with stable mastery approach goals achieved better grades than those with more variable mastery-approach goals. Students with stable performance-approach goals engaged in fewer help-seeking behaviors than those with variable performance approach goals.     

The effects of problem-based learning on the classroom community perceptions and achievement of web-based education students

Web-based education as an alternative to face-to-face teaching is now being extended as an application to higher education. Much effort is undertaken to provide multimedia rich, attractive content to learners. While the use of multimedia technologies has a noticeable effect on students’ learning, so does the selected teaching methodology. Underpinned by the Constructivist approach, problem-based learning is one of the methods that could be applied in web-based learning environments. The current study investigates the effects of problem-based learning on students’ classroom community perceptions and their achievement. It focuses on the tertiary level course “Introduction to Computers” offered by the Department of Business Administration of the Distance Education Program at a higher education institution in Turkey. The results indicated that students who worked on problem-based projects felt much more ‘connected’ to other class members when compared to the control group. They achieved higher scores in the post-tests although their online midterm and final examination scores did not indicate any difference between the groups.