BACKGROUND: Many students struggle with mathematics difficulties, such as arithmetic problem-solving, intuitive geometry concepts and learning disabilities. Currently, there is an increasingly interesting in applying neuroscientific research paradigms to elucidate mathematical thinking and neural mechanisms that underlie academic achievement. On this matter, eye-tracking technology has been a valuable option for educational research. It provides a non-invasive and real-time measurement of participants' eye movements and pupil sizes during cognitive tasks. Moreover, the eye-tracker device is portable, allowing more ecological educational experimentations. AIM: Our main goals are to provide an overview and different opportunities for educational eye-tracking research to investigate mathematical thinking at schools. SETTING: This study was conducted in Sao Bernardo do Campo, Sao Paulo, Brazil. METHODS: This is a perspective article that briefly introduces the eye-tracking technique and describes its possible use in educational research. RESULTS: We present the popular measures and the trends of this technology that could enable educational practitioners and scientists to apply the eye-tracking system to benefit teaching and learning mathematics in naturalistic research. CONCLUSION: The eye-tracking provides insights for innovative approaches to promote evidence-based practices and new interventions through self-directed learning and metacognition skills that could be helpful in mathematics education. CONTRIBUTION: This article provides insight into eye-tracking system utility in educational research regarding the mathematics teaching-learning process.

Objective: Borderline personality disorder (BPD) is a devastating condition that causes intense disruption of patients' lives and relationships. Proper understanding of BPD neurobiology could help provide the basis for earlier and effective interventions. As neuroimaging studies of patients with BPD are still scarce, volumetric and geometric features of the cortical structure were assessed to ascertain whether structural cortical alterations are present in BPD patients. Methods: Twenty-five female outpatients with BPD underwent psychiatric evaluation (SCID-I and II) and a 1.5 T magnetic resonance imaging (MRI) brain scan. The control group comprised 25 healthy age-matched females. Images were processed with the FreeSurfer package, which allows analysis of cortical morphology with more detailed descriptions of volumetric and geometric features of cortical structure. Results: Compared with controls, BPD patients exhibited significant cortical abnormalities in the fronto-limbic and paralimbic regions of both hemispheres. Conclusion: Significant morphologic abnormalities were observed in patients with BPD on comparison with a healthy control group through a multimodal approach. This study highlights the involvement of regions associated with mood regulation, impulsivity, and social behavior in BPD patients and presents a new approach for further investigation through a method of structural analysis based on distinct and simultaneous volumetric and geometric parameters.

OBJETIVO: Apesar da relevância de emoções de irritabilidade para o tratamento, prognóstico e classificação dos transtornos psiquiátricos, as bases neurobiológicas deste tipo de estado emocional foram raramente investigadas até hoje. Este estudo avaliou os circuitos cerebrais subjacentes à irritabilidade induzida por scripts pessoais em voluntários saudáveis (n = 11) usando ressonância magnética funcional. MÉTODO: Mudanças no sinal dependente do nível de oxigenação sanguínea (blood-oxygen level dependent signal) foram registradas durante a apresentação por via auditiva de scripts pessoais de irritabilidade em contraste com scripts de felicidade ou de conteúdo emocional neutro. Escores em escalas de autoavaliação emocional e medidas de condutância da pele também foram obtidos. A aquisição de imagens foi realizada em aparelho de ressonância magnética de 1,5 T. Os mapas de ativação cerebral foram construídos a partir das imagens individuais, e as diferenças entre as condições experimentais foram investigadas utilizando testes não-paramétricos baseados em permutações. RESULTADOS: Em comparação com scripts neutros, a apresentação de scripts de irritabilidade levou a aumentos de sinal dependente do nível de oxigenação sanguínea na porção subgenual do giro do cíngulo anterior esquerdo e nas porções medial, ântero-lateral e póstero-lateral do córtex pré-frontal dorsal (cluster-wise p-valor < 0,05). Enquanto o envolvimento do cíngulo anterior subgenual e do córtex pré-frontal dorsal antero-lateral surgiu apenas em associação com o estado de irritabilidade, aumentos do sinal dependente do nível de oxigenação sanguínea nas porções dorso-medial e dorsal póstero-lateral do córtex pré-frontal também estiveram presentes durante indução de felicidade. CONCLUSÃO: Indução de irritabilidade está associada a mudanças de atividade funcional num conjunto restrito de regiões cerebrais previamente implicadas na mediação de estados emocionais. Mudanças na atividade de porções do giro do cíngulo e pré-frontais podem estar relacionadas a esforço de controle cognitivo associado à expressão de emoções de irritabilidade.

OBJECTIVE: Despite the relevance of irritability emotions to the treatment, prognosis and classification of psychiatric disorders, the neurobiological basis of this emotional state has been rarely investigated to date. We assessed the brain circuitry underlying personal script-driven irritability in healthy subjects (n = 11) using functional magnetic resonance imaging. METHOD: Blood oxygen level-dependent signal changes were recorded during auditory presentation of personal scripts of irritability in contrast to scripts of happiness or neutral emotional content. Self-rated emotional measurements and skin conductance recordings were also obtained. Images were acquired using a 1,5T magnetic resonance scanner. Brain activation maps were constructed from individual images, and between-condition differences in the mean power of experimental response were identified by using cluster-wise nonparametric tests. RESULTS: Compared to neutral scripts, increased blood oxygen level-dependent signal during irritability scripts was detected in the left subgenual anterior cingulate cortex, and in the left medial, anterolateral and posterolateral dorsal prefrontal cortex (cluster-wise p-value < 0.05). While the involvement of the subgenual cingulate and dorsal anterolateral prefrontal cortices was unique to the irritability state, increased blood oxygen level-dependent signal in dorsomedial and dorsal posterolateral prefrontal regions were also present during happiness induction. CONCLUSION: Irritability induction is associated with functional changes in a limited set of brain regions previously implicated in the mediation of emotional states. Changes in prefrontal and cingulate areas may be related to effortful cognitive control aspects that gain salience during the emergence of irritability.

Supervised statistical learning covers important models like Support Vector Machines (SVM) and Linear Discriminant Analysis (LDA). In this paper we describe the idea of using the discriminant weights given by SVM and LDA separating hyperplanes to select the most discriminant features to separate sample groups. Our method, called here as Discriminant Feature Analysis (DFA), is not restricted to any particular probability density function and the number of meaningful discriminant features is not limited to the number of groups. To evaluate the discriminant features selected, two case studies have been investigated using face images and breast lesion data sets. In both case studies, our experimental results show that the DFA approach provides an intuitive interpretation of the differences between the groups, highlighting and reconstructing the most important statistical changes between the sample groups analyzed.