Analyzing the use of history in mathematics education: issues and challenges around Balacheff’s cKȼ model

Part of the international reflection on the use of history in mathematics teaching consists in a quest of frameworks and models suitable for empirical studies. Following this demand, this paper explores the way Balacheff’s cK? model, a model taken from the didactics of mathematics, can be used in the analysis of learning at student level. In the first part of this paper, Balacheff’s cK? model (conceptions, knowledge, ?oncepts) is shortly presented, and in the second part, the relationship between the epistemological background of the model and the use of the history of mathematics is explored in order to show a possible suitableness. The third part addresses an example of a school activity (about ancient Indian geometry) in which the model is applied and the historical issues clarified. Questioning the role of problems both in the cK? model and in the use of history, the last part shows how a study at the students’ conception level enlightens the way in which historical elements can interact with contemporary mathematical learning.     

Reading Comprehension and Predictability Effects on Sentence Processing: An Event‐Related Potential Study

Electrophysiology studies have identified two event‐related potentials that are modulated by predictive processes during language comprehension: the N400 and a frontal positivity. The N400 is smaller when words are presented within highly restrictive sentences, indicating reduced lexical retrieval costs. Violations of strong predictions generate larger frontal positivities, possibly reflecting inhibitory processes. More skilled comprehenders may exhibit enhanced predictive processing, but this possibility has seldom been investigated with event‐related potentials (ERPs). We analyzed the association between predictability ERP modulations and reading comprehension abilities. Twenty‐four undergraduate students were exposed to strongly and weakly constraining sentences, ending with an expected or unexpected final word. Their comprehension skills were assessed with a cloze task. Better comprehenders showed smaller N400s for expected words, and larger posterior positivities for unexpected endings, in strongly constraining contexts. These effects correlated with reading comprehension scores. The results suggest that better comprehenders take more advantage of predictions to reduce retrieval costs, and allocate more resources to postlexical integration processes.     

Using Mind Maps to Make Student Questioning Effective: Learning Outcomes of a Principle-Based Scenario for Teacher Guidance

Research in Science Education - Student questioning is an important learning strategy, but rare in many classrooms, because teachers have concerns if these questions contribute to attaining...     

TechCheck: Development and Validation of an Unplugged Assessment of Computational Thinking in Early Childhood Education

Journal of Science Education and Technology - There is a need for developmentally appropriate Computational Thinking (CT) assessments that can be implemented in early childhood classrooms. We...     

Prenatal Predictors of Postnatal Quality of Caregiving Behavior in Mothers and Fathers

SYNOPSIS

Objective. The quality of parental caregiving has been shown to affect children’s development from birth onward. Therefore, it is important to detect parents at risk for low-quality caregiving as early as possible – preferably before birth. Design. Observations of expectant mothers’ and fathers’ behavior when exposed to infant crying were examined as predictors of the quality of caregiving toward their own infant 6 weeks postpartum. Eighty-eight expectant mothers and 57 of their male partners were tested during the third trimester of pregnancy. Parents were filmed individually while caring for a crying Simulator Infant for 15 min; the quality of their caregiving was rated on sensitivity and cooperation. Also, cognitive interference on a working memory task and the ability to regulate physical force when exposed to infant crying were assessed. When their baby was 6 weeks old, parents were filmed and rated for sensitivity and cooperation during a 15-min interaction with their own infant at home. Results. Prenatal quality of caregiving behavior toward a simulator infant predicted postnatal quality of caregiving toward the own infant in both mothers and fathers. Cognitive interference and the ability to regulate physical force did not predict postnatal quality of caregiving behavior. Conclusions. Expectant parents’ quality of caregiving behavior toward a crying simulator infant predicted both mothers’ and fathers’ postnatal quality of caregiving behavior. Future research is needed to determine whether the simulator infant may be a useful screening instrument and training tool for parenting skills in at risk groups of parents-to-be.     

PISA mathematics and reading performance differences of mainstream European and Turkish immigrant students

Lower reading and mathematics performance of Turkish immigrant students as compared to mainstream European students could reflect differential learning outcomes, differential socioeconomic backgrounds of the groups, differential mainstream language proficiency, and/or test bias. Using PISA reading and mathematics scores of these groups, we examined the role of bias and various measures related to immigrant integration policies of the host societies. Results of a multilevel analysis of reading and mathematics tests demonstrated that at individual level, students with higher scores on an index of economic, social, and cultural status obtained higher achievement scores. At country level, MIPEX scores of education and the human development index of participating countries could predict differences in reading results but not in mathematics. After correction for background characteristics, effect sizes showed a difference of .65 SD (down from a value of .96 before correction) for reading and .58 SD (down from .78) for mathematics. However, a similar correction for background variables increased the score differences between Turkish immigrants and mainstreamers.     

Evaluations, attributions, affect, and disciplinary choices in mothers at high and low risk for child physical abuse

OBJECTIVE: The present study investigated several components of a social information-processing model of child physical abuse. The main objective was to examine the extent to which high-risk, relative to low-risk, mothers differed in their evaluations, attributions, negative affect, and disciplinary choices for children's behavior, and to explore whether these differences may be expressed in interactions between risk status and mitigating information. METHOD: Nineteen high- and 19 matched low-risk mothers' evaluations of children transgressions, attributions, affect, and choices of disciplinary techniques were examined using six vignettes depicting a child engaging in moral, conventional, and personal transgressions. One-half of the vignettes contained mitigating information and one-half did not. High- and low-risk mothers were chosen based on their potential for physical child abuse. A three-factor (2 x 3 x 2) design was used to assess the dependent variables. RESULTS: As expected, high-risk, relative to low-risk, mothers reported more hostile intent, stable and global attributions, aversiveness, annoyance, and use of power-assertion discipline. A risk group by type of transgression interaction was found for evaluation and indifference and a risk group by mitigating information interaction was found for evaluation of wrongness, internal attributions, and aversiveness. A risk by type of transgression by mitigating information interaction was found for global/specific attributions, aversiveness, and indifference toward child transgressions. CONCLUSIONS: Results support a social information processing model of child physical abuse, which suggests that high-risk, compared to low-risk, mothers process child-related information differently and use more power-assertive disciplinary techniques.     

English language learning difficulty of korean students in a Philippine Multidisciplinary University

This qualitative study analyzed the English language learning difficulties of 13 purposively chosen Korean students relative to their sociolinguistic competence, motivation in using the English language, and cultural factors. Interview responses were transcribed, categorized and thematised according to saliency, meaning and homogeneity. The findings of the study disclosed that, on the whole, while the subjects never had the opportunity to use the English language in Korea, they use it almost everywhere in the Philippines. Their difficulties exist both in daily conversation and in the academic setting. Such difficulties are attributable to both the subjects’ and the Filipinos’ different entry points in the learning and use of English. Despite cultural barriers in communication, however, the Koreans studying in the Philippines are instrumentally motivated to learn the English language.     

Performance and acceptance when using tablets as a multiple document learning tool: do application and guidance matter?

This study addressed whether an application adapted to working with multiple documents implemented in an iPad Pro tablet would promote students’ multiple document comprehension and acceptance of tablets as a multiple document learning tool relative to controls who used a traditional application adapted to sequential reading of single documents. Results indicated that students using the multiple document reading application outperformed the control students in terms of comprehension and also worked more efficiently on the assigned multiple document task, but only if given explicit guidance in selecting, organizing, and integrating information by utilizing the functions of the application. Still, after task completion, the more effective and efficient students guided in using the functions of the multiple document reading application displayed much less acceptance of tablets as a multiple document learning tool than did the control students. We discuss possible explanations for this intriguing performance-acceptance paradox and suggest some avenues for future research in this area.