Effects of playing mathematics computer games on primary school students’ multiplicative reasoning ability

This study used a large-scale cluster randomized longitudinal experiment (N = 719; 35 schools) to investigate the effects of online mathematics mini-games on primary school students’ multiplicative reasoning ability. The experiment included four conditions: playing at school, integrated in a lesson (E_school), playing at home without attention at school (E_home), playing at home with debriefing at school (E_home-school) and, in the control group, playing at school mini-games on other mathematics topics (C). The mini-games were played in Grade 2 and Grade 3 (32 mini-games in total). Using tests at the end of each grade, effects on three aspects of multiplicative reasoning ability were measured: knowledge of multiplicative number facts, skills in multiplicative operations, and insight in multiplicative number relations and properties of multiplicative operations. Through path analyses it was found that the mini-games were most effective in the E_home-school condition, where both students’ skills and their insight were positively affected as compared to the control group (significant ds ranging from 0.22 to 0.29). In the E_school condition, an effect was only found for insight in Grade 2 (d = 0.35), while in the E_home condition no significant effects were found. Students’ gameplay behavior (time and effort put in the games) was in some cases, but not always, related to their learning outcomes.     

Classroom effect on primary school students’ self-concept in literacy and mathematics

According to the big-fish-little-pond effect (BFLP) model, high individual academic performance in a particular subject is related to high self-concept in that subject, whereas high average classroom performance has a negative effect on self-concept. In the present study, data from Finnish primary school students in grade 3 (504 students), grade 4 (487 students), and grade 6 (365 students) are used to examine whether the assumptions of the BFLP effect model hold already in primary school. Furthermore, we examined gender differences in BFLP effect. The results showed that as expected students’ high performance in literacy and in mathematics was related to high self-concept in the same subject. Support for the negative classroom effect was small and it depended on the school subject and student’s gender. That is, a high average classroom performance already in grade 3 had a negative but small effect on boys’ self-concept in mathematics. In literacy and among girls, only little support was found for the negative classroom effect.

     

Invisible and special: young women’s experiences as undergraduate mathematics students

This paper reports on young women students’ participation in their undergraduate mathematics degree programme: their gendered trajectory is characterized in terms of their being both ‘invisible’ in the dominant university mathematics community and yet ‘special’ in their self‐conception. It draws on data collected from a three‐year longitudinal project investigating students’ experiences of undergraduate mathematics at two comparable traditional universities in England. Specifically, students’ narratives are interpreted as providing insights into their defensive investments in their particular ways of participating. An interpretive feminist perspective is used to claim that these young women are involved in the ongoing redefining of the gendering of participation in mathematics, and conveys how they manage to choose mathematics, and achieve in university mathematics, whilst in many respects adhering to everyday views of femininity.

Leitmotif

No one could see [the witch] Serafina from where she was; but if she wanted to see any more, she would have to leave her hiding place. …There was one thing she could do; she was reluctant because it was desperately risky, and it would leave her exhausted; but it seemed there was no choice. It was a kind of magic she could work to make herself unseen. True invisibility was impossible, of course: this was mental magic, a kind of fiercely held modesty that could make the spell worker not invisible but simply unnoticed. Holding it with the right degree of intensity, she could pass through a crowded room, or walk beside a solitary traveller, without being seen. (Pullman, 1998 Pullman, P. 1998. The subtle knife, London: Scholastic Point.  [Google Scholar], p. 35)     

The effect of context on students’ reasoning about forces

When attempting to solve closely related problems in science, students will often respond to irrelevant contextual features in the questions rather than generalizing their conceptions over the range of relevant situations. In this study, a group of 40 students (one group of 15‐16‐year‐olds and another of preservice science teachers) was surveyed and interviewed to determine the effect of context on the reasoning which they used to solve problems concerning the forces acting on objects in linear motion. It was found that the younger group of students were influenced by contextual features such as the speed, weight and position of the moving object, the direction of the motion and their own personal experience of the context. There were clearly two types of contextual effects ‐‐ primary and secondary, which are described. The older group of students was generally less affected by context and thus more consistent in their reasoning.     

Dissonance in students’ regulation of learning processes

In this article, dissonance in students’ way of learning is explored from a regulation of learning perspective. First, consonant patterns of interrelations among learning elements are sketched. These patterns were identified in studies with university students by means of a diagnostic instrument, the Inventory of Learning Styles (ILS), that assesses four learning components: cognitive processing strategies, metacognitive regulation strategies, mental models of learning, and learning orientations. Consonant patterns of linkages among these components result in four qualitatively different ways of learning or learning styles: undirected, reproduction-directed, meaning-directed and application-directed learning. Next, several studies that used the ILS as a research instrument were examined for indications of dissonant patterns of interrelations among these learning components. The students in these studies ranged from early secondary school to adult university students. Five phenomena of dissonance could be identified: lack of differentiation within learning components, lack of integration between learning components, incompatibility of learning strategies, models and orientations, missing learning style elements, and a lack of distinct application-directed learning. These phenomena are described and documented. Finally, the results are discussed in relation to other recent studies on dissonant study orchestrations and in terms of their practical meaning. A developmental explanation for the occurrence of some manifestations of dissonance is offered.     

“Can I do well in mathematics reasoning?” Comparing US and Finnish students’ attitude and reasoning via TIMSS 2011

This study investigated differences between the US and Finland in terms of how students’ attitude is related to mathematical reasoning skills through the Trends in International Mathematics and Science Study (TIMSS) 2011. Attitude towards mathematics was observed via 3 TIMSS contextual variables: liking mathematics, valuing mathematics, and confidence in mathematics. Scores for mathematical reasoning were collected from the TIMSS 2011 database. We used hierarchical linear modelling to construct multilevel models with interactions of the attitude variables. Findings showed that confidence in mathematics had the strongest positive relationships with mathematical reasoning in both countries. Finnish students generally reported stronger positive relationships between confidence in mathematics and reasoning than US students. Strong relationships between confidence and reasoning remained visible when examining valuing and liking mathematics. Findings provide important implications regarding the complex interactions between attitude towards mathematics and reasoning, critical for mathematics educators and policymakers to consider in an increasingly competitive international environment.     

Impact of multimedia on students’ perceptions of the learning environment in mathematics classrooms

We investigated (1) whether the learning environment perceptions of students in classes frequently exposed to multimedia differed from those of students in classes that were not, (2) whether exposure to multimedia was differentially effective for males and females and (3) relationships between students’ perceptions of the learning environment and student engagement in classes that were exposed to multimedia. The sample involved 365 high-school students in 16 classes, nine that were frequently exposed to multimedia and seven that were not. Two instruments were administered to students: one to assess students’ perceptions of the learning environment and another to assess student engagement. There were statistically significant differences between the two groups for all of the learning environment scales, as well as statistically significant interactions between exposure to multimedia and sex for three learning environment scales (Involvement, Task Orientation and Equity). Finally, the learning environment in mathematics classes that involved multimedia was related to student engagement. These results offer potentially important insights into how student exposure to multimedia could promote more positive learning environments and improve student engagement in mathematics.     

Developing computer-aided diagramming tools to mine,model and support students’ reasoning processes

Educational technology research and development - Despite the last 40 years of research showing that computer-aided diagramming tools improve student learning, very little research reveals...     

Taiwanese high school students’ perspectives on effective mathematics teaching behaviors

This study developed a questionnaire composed of teaching-behavior items obtained from pioneering empirical studies, for measuring students’ perspectives on effective mathematics teaching. The questionnaire was used to survey 4514 high school students in Taiwan, where Western innovative mathematics instruction has been promoted since a curriculum reform in 1993. Exploratory factor analysis revealed factors contributing to how teachers should handle teaching materials, use representations and teaching methods, and guide problem solving. Ten factors were identified. Seven are rooted in traditional Chinese educational culture (e.g., detailed illustration in teaching problem solving), and three were influenced by Western culture (e.g., student active-learning activities in teaching methods). The findings show that teaching behaviors that either require a considerable amount of time or minimize use of time are relatively less favored, including learning in small groups or through games in the student active-learning activities factor and only providing important steps in the speedy lecture factor.     

Impact of online flexible games on students’ attitude towards mathematics

This study examined the effects of using an online flexible educational game on students’ attitude towards mathematics as compared to the traditional method of solving mathematical problems. Moreover, the study assessed the learning effectiveness of the game and investigated potential gender differences in the game’s effectiveness on changing students’ attitude. The participants of the study were 79 students who were randomly assigned to a control and treatment group, as well as four coordinator teachers. The game was configurable and it was used as a supplementary teaching method. The intervention lasted 14 weeks and the data collection was based on quantitative measures and interviews. The results of the analysis indicated that the game approach was effective on improving students’ attitude towards mathematics and that it also resulted in better learning outcomes in the treatment group as compared to that of the control group. Furthermore, it was shown that the gender of the students did not influence the positive effect of the game on students’ attitude. These results suggest that the incorporation of flexible games into the traditional teaching of mathematics could possibly bring beneficial effects.     

Effects of extracurricular activities and their quality on primary school-age students’ achievement in mathematics in Switzerland

In this study, we examined the development of mathematics achievement in children attending extracurricular activities intensively in comparison with the development in a control group of children attending only the obligatory hours of school instruction. In addition, we investigated the question of possible effects of intensity of attendance and quality of extracurricular activities on achievement in students attending extracurricular activities from the end of Grade 1 to the end of Grade 3. This was a longitudinal study of a sample of N = 295 students in the first years of school at 35 primary schools in the German-speaking part of Switzerland. The results show that attendance in extracurricular activities had a positive effect on the development of students’ achievement. Students who attended extracurricular activities intensively in Grade 1, students who attended high-quality extracurricular activities, and especially those who did both, had greater improvement.     

Learning environment and students’ mathematics attitude

This study investigated the association between students’ perception of the learning environment and three aspects of their mathematics attitude: ‘mathematics academic self-concept’, ‘enjoyment of mathematics’ and ‘perceived value of mathematics’. The focus was on the association of students’ mathematics attitude with four dimensions in the learning environment: the extent to which the teacher ‘motivates to exert learning effort’, ‘activates towards self-regulated learning’, ‘gives feedback and coaches’, and ‘structures and steers’. Data were obtained from an extended version of the international Trends in Mathematics and Science Study (TIMSS) of 2003. Multilevel analysis on a sample of 4354 eighth grade students in 228 classes in 119 schools in Flanders (Belgium) indicated that the learning environment plays a significant role in the enjoyment of mathematics. This while the mathematics academic self-concept and the perceived value of mathematics are insensitive for aspects in the learning environment.     

Improving college students’ attitudes toward mathematics

This study was conducted to investigate the effectiveness of a treatment designed to improve college algebra students’ attitudes toward mathematics. Keller’s ARCS motivational design model was used as a guiding framework for the development of a motivational video, which was delivered online. The application of motivational design to improve mathematics attitudes in an online environment extends the use of motivational design. A pretest-posttest control group design was used to test the effectiveness of the treatment. The participants in this study were 43 students enrolled in a college algebra course offered at a large state university in the mid-Atlantic region of the United States. Statistically significant results were observed for improved attitudes toward mathematics.     

Does students’ heritage matter in their performance on and perceptions of historical reasoning tasks?

This mixed methods study explores how high school students (N = 35) enrolled in a US charter school with a high Latino/a population perform on and perceive (in terms of interest and relevance) document-based type historical reasoning tasks: one about the Dust Bowl in the 1930s and the other about the experiences of Mexicans and Mexican Americans in the 1920s. Students wrote essay responses and completed perception inventories about the tasks. We also interviewed 10 focal students to delve more deeply into students’ thinking regarding the tasks and their interest levels in the two topics. We scored students’ responses along the criteria of historical claims, substantiation of claims, use of evidence from documents, sourcing of documents and contextualization. Our hypotheses were that students would perform better on, and be more interested in, tasks that were culturally relevant to them. We found that although students did not perform differently on the two tasks overall, students’ perceptions of the tasks differed, with a significantly greater interest in the task about Mexicans and Mexican Americans. We address the complexity of these findings and discuss implications for curriculum and practise.     

Teachers’ assessments of students’ learning of mathematics

This paper reports a study of the classroom assessment practices of 12 sixth form college mathematics teachers in Malta. It explores the extent to which these teachers are knowledgeable about their students’ learning of mathematics and the implications that this has for their classroom practices. It reveals that these teachers’ knowledge of their students’ understanding of certain mathematical concepts is fairly limited. It then goes on to discuss this phenomenon in terms of a process that can hinder rather than promote learning. The research illuminates the position of teachers who appear to lack certain detailed information about their students which, it can be argued, could inform more effective teaching strategies. The paper concludes by exploring possible implications for similar situations where learning could be enhanced by more effective classroom assessment strategies and their use to inform future teaching and learning activities.     

Exploring foreign undergraduate students’ experiences of university

Although international students are an important source of income to universities in the UK, the emotional impact of their experiences may be ignored and unacknowledged. This study explored the personal experiences of international students studying for an undergraduate degree in the UK. Semi-structured interviews with five participants were analysed using interpretative phenomenological analysis, which aimed to capture the personal perceptions of these participants. Two analytical themes are presented: “adaptation and identity”, which reflects the difficulties in acculturation, adaptation and development of identity in a foreign country; and “us and them”, which pays close attention to the perception of disconnectedness, unfairness and exclusion encountered in trying to integrate into a different way of life. Findings are discussed in relation to the impact that participants’ experiences have had on their self-worth, confidence and ability to engage with domestic individuals.     

An instrument for analysing students’ argumentative reasoning when participating in debates

The aims of this paper are twofold. First, we present, justify, and characterise an instrument for analysing students’ argumentative reasoning developed from Walton’s ideas. Then, from the analysis of students’ argumentative discussion about a socio-scientific controversy, we identify the advantages and disadvantages of using the instrument. The results show that the analysis of students’ argumentative reasoning require nine stages, which have logical and pragmatic criteria that should be used in order to decrease the subjectivity of the analysis. The analysis sheds light on the characterisation of students’ argumentative reasoning by supporting the understanding of the move of students’ argumentative clusters, since it enables us to understand that: the argumentative quality depends on the relations between arguments and other statements; and an argumentative cluster can be developed according to the frequency of refutations or attacks by means of questions involving its constituents. This is because when arguments, questions, and/or claims are evaluated, the individuals have the possibility of bringing other reasons and/or arguments that support them in the discussion. Therefore, the main contribution of this study is the development of an instrument, based on dialectical principles, that contributes to analyse students’ argumentative discuss and to support discussions of their argumentative quality.