In one of his latest articles, Fortus (2014), points out that “when one considers the centrality of affect to teaching and learning and the broad range of topics that are related to affect, it is concerning that it has received relatively so little attention” (Fortus 2014, p. 821). In order to support his position, he provides an overview of the research on affect in science education that has been published in several journals (JRST, SciEd, and IJSE) between 2001 and 2011. The author also hypothesizes why affect has been under-attended to by the science education research community so far. And the conclusion he arrives at is that affect remains in the shadow of researchers’ attention partly due to the existing “international trend towards standardization of schooling and high-stakes testing” (p. 822). The main purpose of this article is to emphasize that affect does play an important role also in learning mathematics and for this reason it should be considered as one of the core dimensions of mathematics education. The first part of this article provides examples of two phenomena: math anxiety and the underachievement syndrome in learning mathematics, where affective determinants are unquestionable. Subsequently, we shift the focus from these particular issues to the general description of what affect is, what meaningful concepts it contributes in the field of research on mathematics education, and how the research community can benefit from the approach it promotes. Finally, we present some new directions for researchers and teachers that may result in an increase of the quality and efficiency of both teaching and learning mathematics.
The issue of math attitude and math anxiety in STEM students has been till now overlooked. However, the issue occurring in many countries is students’ falling out of the STEM education system during their studies. One of the reasons for this problem may be high math anxiety and a negative math attitude among students. The present study fills a gap in knowledge about this phenomenon among STEM students. 371 Polish STEM students filled questionnaires of math attitude (MASA) and math anxiety (MAQA, SIMA, AMAS). The results are as follow: The mean results show that STEM students have a very positive math attitude in affective and cognitive dimensions and a rather positive math attitude in the behavioral area; On average, STEM students feel very weak anxiety related to math problem solving, weak general math anxiety and math learning anxiety, and a moderate level of math testing anxiety; Among STEM students there are those who present a very negative/negative math attitude and very strong/strong math anxiety; Women feel more intense anxiety related to math problem solving, but there is no gender gap in general math anxiety, math learning and math testing anxiety, and in math attitude. The results suggest that math attitude and math anxiety of STEM students should be monitored. Indeed, not all STEM students have a positive math attitude and feel no math anxiety. Moreover, proper interventions are recommended to decrease math anxiety and improve positive math attitude that in turn may prevent the students’ dropping out from STEM studies.
The present study investigated the construct validity of the Test Anxiety Questionnaire (Prüfungsangstfragebogen PAF; Hodapp, Rohrmann, & Ringeisen, 2011), a revised and shortened version of the German Test Anxiety Inventory (TAI-G), by comparing it with math anxiety. A sample of German fi fth- and sixth-grade students (N = 79; 61 % male) was analyzed. Math anxiety was measured by a German adaptation of the Math Anxiety Questionnaire (Fragebogen für Rechenangst FRA; Krinzinger et al., 2007). A signifi cant but moderate correlation between test anxiety and math anxiety was found. In regression analyses, math anxiety predicted math performance whereas test anxiety explained additional variance for both math and overall performance. It can be concluded that math and test anxiety have overlaps, but do not constitute the same construct. Thus, the results support the construct validity of the PAF indicating its usefulness in practical application.
Starting in the early years of education, math anxiety is negatively related to mathematic outcomes, therefore there is a need for its adequate measurement in young children. This study presents the psychometric properties of the modified Abbreviated Math Anxiety Scale for Elementary Children (mAMAS-E) for first- to third-grade children based on mAMAS. The validity of mAMAS-E was determined by a series of tests. The analysis confirmed its two-factor structure (Testing and Learning), positive relationships between mAMAS-E and math, general, and test anxiety, and a negative relationship with mathematical achievement. Children with a high level of math self-esteem and math self-confidence (but not Polish language self-esteem and self-confidence) have lower math anxiety in comparison to those with a moderate level. The results also indicate that girls have a higher level of math anxiety than boys. The validity and internal consistency of mAMAS-E are satisfactory; therefore, mAMAS-E may be a recommendable questionnaire for measuring math anxiety in young children.
W artykule dokonano przeglądu koncepcji i badań lęku przed matematyką oraz jego konsekwencji. Jest to jeden z istotnych czynników wpływających na poziom osiągnięć matematycznych. Ten specyficzny rodzaj lęku jest względnie niezależny od ogólnej lękowości. Podczas rozwiązywania zadań matematycznych u osób o wysokim poziomie lęku przed matematyką obserwuje się obniżenie pojemności pamięci roboczej oraz deficyty w zakresie hamowania poznawczego. W perspektywie długoterminowej osoby o wysokim poziomie tego rodzaju lęku unikają ścieżek kariery wiążących się z matematyką. Lęk przed matematyką koreluje z poziomem osiągnięć matematycznych, nie jest jednak tożsamy z niskim poziomem umiejętności. Interwencje zmierzające do redukcji tego lęku podnoszą wyniki w testach matematycznych. Nauczyciele edukacji wczesnoszkolnej cechują się podwyższonym poziomem lęku przed matematyką i często przenoszą go na uczniów.
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In this paper math anxiety and its consequences are characterized. Math anxiety is an important factor influencing math achievement. This specific type of anxiety is relatively independent of trait anxiety. When highly math anxious individuals solve math problems, their working memory capacity is restricted and their cognitive inhibition mechanisms are impaired. In the long-term, highly math anxious individuals avoid career pathways related to math. Math anxiety is also related to lower math achievement. Importantly, math anxiety is not equivalent to low math ability. Interventions aimed at reducing math anxiety lead to improvement in math achievement. It is worth noting that pre-service elementary school teachers are characterized by very high math anxiety, which may then be transferred to their pupils.
The aim of this paper is to describe the current state of selected mathematical achievements of Polish students and the most significant social aspects related to mathematical education and its role in the contemporary world. First, the importance of mathematical competences will be discussed with their role in the curriculum of young people entering the labour market. Then, a diagnosis of the state of mathematics teaching in Poland and the results of key educational research conducted in this field (mainly PIAAC, PISA, TIMSS, and the results of external exams in Poland) will be presented. Finally, the so-called non-cognitive aspects related to mathematical education, such as math anxiety or the role of stereotypes, will be discussed.
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