Assessing fraction knowledge by a digital game

Subjective experiences and perceptions of learning a second language through digital games: A case study of Chinese college students

Recent years have seen a rapid proliferation of game-based learning applied in language classes. Second language teaching and learning are being inspired by the increasingly mature game-based learning technology. Currently, educational games are regarded as a new technology with great potential. The game-based promotion of oral English has also become one of the research hotspots. This research carried out an empirical study on the subjective experiences and perceptions of using game-based second language learning to cultivate the oral English of Chinese college students. By using Unity 3D technology, "Digital Game-Virtual College" game software was developed for Chinese teenagers as the experimental carrier. Sixty-six freshmen majoring in review engineering at a university located in a first-tier city in southern China were invited as participants. Based on the courses "College English-Reading and Writing" and "College English-Listening, Viewing and Speaking," this research explored the game-based teaching of "Words Arena Contest" and "Words Talents," respectively. The analysis of the attitude and achievement data not only indicated the advantages and disadvantages of game-based learning, but also suggested the significant points in game-based learning software design. The results of tests and survey provide insight into the evaluation and reflection of the subjective experiences and perceptions of using digital game-based language learning. The results of this research can not only provide guidance for exploring the psychological contributors and barriers to game-based second language learning, but can also shed some light on and provide a reference for the design of game-based second language learning software.

Different aspects of fraction understanding are associated selectively with performance on a fraction learning game

Fraction understanding seems a double-edged sword. On the one hand, it is an important predictor of later mathematical achievement. On the other hand, it is also one of the topics students struggle most in secondary math education. To complement traditional instruction, digital learning games were developed and found to successfully foster fraction understanding. However, so far, it is not known to what degree different aspects of fraction understanding (e.g., part-whole relations, fraction magnitude, fraction arithmetic) may be conveyed by such games. The current study evaluated selective associations of in-game performance of the fraction learning game Semideus with specific aspects of fraction understanding assessed using a comprehensive paper-pencil test. In Semideus, seventh graders (M_age=12.3years) from academic track secondary schools in Germany estimated the location of fractions on a number line and compared fractions according to their magnitude. Results replicated previous findings showing that in-game performance was significantly associated with mathematics achievement (i.e., math grades) and basic, whole number arithmetic skills. Moreover, we observed significant associations for aspects of fraction understanding closely matching mechanics of the learning game such as fraction number line estimation, fraction magnitude comparison and fraction ordering. These associations were observed for accuracy on the game's fraction learning tasks (e.g., estimation accuracy on the number line) but also generalized to game-based metrics such as virtual incentives (i.e., stars awarded in the game). This implies that the actual game mechanic may help to convey aspects of fraction understanding, substantiating ideas of intrinsic integration in game design.

Examining the relevance of basic numerical skills for mathematical achievement in secondary school using a within-task assessment approach

Previous research repeatedly found basic numerical abilities (e.g., magnitude understanding, arithmetic fact knowledge, etc.) to predict young students' current and later arithmetic achievement as assessed by achievement tests - even when controlling for the influence of domain-general abilities (e.g., intelligence, working memory). However, to the best of our knowledge, previous studies hardly addressed this issue in secondary school students. Additionally, they primarily assessed basic numerical abilities in a between-task approach (i.e., using different tasks for different abilities). Finally, their relevance for real-life academic outcomes such as mathematics grades has only rarely been investigated. The present study therefore pursued an approach using one and the same task (i.e., a within-task approach) to reduce confounding effects driven by between-task differences. In particular, we evaluated the relevance of i) number magnitude understanding, ii) arithmetic fact knowledge, and iii) conceptual and procedural knowledge for the mathematics grades of 81 students aged between ten and thirteen (i.e., in Grades 5 and 6) employing the number bisection task. Results indicated that number magnitude understanding, arithmetic fact knowledge, and conceptual and procedural knowledge contributed to explaining mathematics grades even when controlling for domain-general cognitive abilities. Methodological and practical implications of the results are discussed.

Pupillary Responses for Cognitive Load Measurement to Classify Difficulty Levels in an Educational Video Game: Empirical Study

Background

A learning task recurrently perceived as easy (or hard) may cause poor learning results. Gamer data such as errors, attempts, or time to finish a challenge are widely used to estimate the perceived difficulty level. In other contexts, pupillometry is widely used to measure cognitive load (mental effort); hence, this may describe the perceived task difficulty.

Objective

This study aims to assess the use of task-evoked pupillary responses to measure the cognitive load measure for describing the difficulty levels in a video game. In addition, it proposes an image filter to better estimate baseline pupil size and to reduce the screen luminescence effect.

Methods

We conducted an experiment that compares the baseline estimated from our filter against that estimated from common approaches. Then, a classifier with different pupil features was used to classify the difficulty of a data set containing information from students playing a video game for practicing math fractions.

Results

We observed that the proposed filter better estimates a baseline. Mauchly’s test of sphericity indicated that the assumption of sphericity had been violated (χ²₁₄=0.05; P=.001); therefore, a Greenhouse-Geisser correction was used (ε=0.47). There was a significant difference in mean pupil diameter change (MPDC) estimated from different baseline images with the scramble filter (F_5,78=30.965; P<.001). Moreover, according to the Wilcoxon signed rank test, pupillary response features that better describe the difficulty level were MPDC (z=−2.15; P=.03) and peak dilation (z=−3.58; P<.001). A random forest classifier for easy and hard levels of difficulty showed an accuracy of 75% when the gamer data were used, but the accuracy increased to 87.5% when pupillary measurements were included.

Conclusions

The screen luminescence effect on pupil size is reduced with a scrambled filter on the background video game image. Finally, pupillary response data can improve classifier accuracy for the perceived difficulty of levels in educational video games.

Neurofunctional plasticity in fraction learning: An fMRI training study

BACKGROUND

Fractions are known to be difficult for children and adults. Behavioral studies suggest that magnitude processing of fractions can be improved via number line estimation (NLE) trainings, but little is known about the neural correlates of fraction learning.

METHOD

To examine the neuro-cognitive foundations of fraction learning, behavioral performance and neural correlates were measured before and after a five-day NLE training.

RESULTS

In all evaluation tasks behavioral performance increased after training. We observed a fronto-parietal network associated with number magnitude processing to be recruited in all tasks as indicated by a numerical distance effect. For symbolic fractions, the distance effect on intraparietal activation was only observed after training.

CONCLUSION

The absence of a distance effect of symbolic fractions before the training could indicate an initially less automatic access to their overall magnitude. NLE training facilitates processing of overall fraction magnitude as indicated by the distance effect in neural activation.

Game-based learning environments affect frontal brain activity

Inclusion of game elements in learning environments to increase motivation and learning outcome is becoming increasingly popular. However, underlying mechanisms of game-based learning have not been studied sufficiently yet. In the present study, we investigated effects of game-based learning environments on a neurofunctional level. In particular, 59 healthy adults completed a game-based version (including game elements such as a narrative and virtual incentives) as well as a non-game-based version of a number line estimation task, to improve fractional knowledge, while their brain activity was monitored using near-infrared spectroscopy. Behavioral performance was comparable across the two versions, although there was a tendency that less errors were made in the game-based version. However, subjective user experience differed significantly between versions. Participants rated the game-based version as more attractive, novel, and stimulating but less efficient than the non-game-based version. Additionally, positive affect was reported to be higher while engaging in the game-based as compared to the non-game-based task version. Corroborating these user reports, we identified increased brain activation in areas associated with emotion and reward processing while playing the game-based version, which might be driven by rewarding elements of the game-based version. Moreover, frontal areas associated with attention were also more activated in the game-based version of the task. Hence, we observed converging evidence on a user experience and neurofunctional level indicating that the game-based version was more rewarding as well as emotionally and attentionally engaging. These results underscore the potential of game-based learning environments to promote more efficient learning by means of attention and reward up-tuning.

Quality Criteria for Serious Games: Serious Part, Game Part, and Balance

Serious games are digital games that have an additional goal beyond entertainment. Recently, many studies have explored different quality criteria for serious games, including effectiveness and attractiveness. Unfortunately, the double mission of serious games, that is, simultaneous achievement of intended effects (serious part) and entertainment (game part), is not adequately considered in these studies. This paper aims to identify essential quality criteria for serious games. The fundamental goal of our research is to identify important factors of serious games and to adapt the existing principles and requirements from game-related literature to effective and attractive serious games. In addition to the review of the relevant literature, we also include workshop results. Furthermore, we analyzed and summarized 22 state-of-the-art serious games for education and health. The selected best-practice serious games either prove their effectiveness through scientific studies or by winning game awards. For the analysis of these games, we refer to "DIN SPEC 91380 Serious Games Metadata Format." A summarized text states quality criteria for both the serious and the game part, and especially the balance between them. We provide guidelines for high-quality serious games drawn from literature analysis and in close cooperation with domain experts.

Inhibition and cognitive load in fractions and decimals

BACKGROUND

Prior research with adults and children suggests that inhibitory control may have a role to play in learning counterintuitive fractions and decimals that are inconsistent with whole number knowledge. However, there is little research to date with primary school-aged children at the early stages of fraction and decimal instruction that addresses this relationship. Understanding this association has the potential to inform instructional practices concerning the learning of counterintuitive maths concepts.

AIM

This study examined the relationship between inhibitory control and counterintuitive fractions and decimals in the presence of varying cognitive load in 8- to 10-year-old children.

METHODS

Children aged 8-10 years (N = 95) completed a fraction and decimal magnitude comparison task with pairs that were either consistent (controls) or inconsistent (counterintuitive) with whole number magnitudes. Cognitive load was manipulated by presenting trials with simple integrated text (no additional load), with integrated text accompanied by supportive illustrations (low load), or with illustrations containing information that needed to be integrated to arrive at an answer (high load). Participants also completed measures of response and semantic inhibition.

RESULTS

Inhibitory control uniquely contributed to performance in counterintuitive fractions and decimals only under conditions of high cognitive load, where low semantic inhibition predicted longer response times.

CONCLUSION

Our results indicate a more nuanced relation between inhibitory control and counterintuitive fractions and decimals than presumed by previous research. They suggest that the role of inhibitory control when reasoning about counterintuitive fractions and decimals is not constant, and it is only drawn on at high levels of cognitive load.