Effective Integration of the Affective Domain in the Teaching and Learning of Mathematics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: closed (20 June 2022) | Viewed by 17205

Special Issue Editor


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Guest Editor
Department of Didactics of Experimental Sciences, Social Sciences and Mathematics, Faculty of Education and Social Work, University of Valladolid, 47011 Valladolid, Spain
Interests: mathematics education; affective domain in mathematics; mathematics and learning disabilities

Special Issue Information

Dear Colleagues,

Talking about mathematics is talking about a topic that leaves no one indifferent, provoking or evoking emotions that, too many times, are very negative. This fact causes states that are strongly linked to academic failure, which is not only in the framework of low performance, but also includes school dropout, low self-esteem, rejection of mathematics and serious limitations when solving problems, or interpreting information, in our daily lives in situations that require a certain degree of mathematical competence.

The OECD, ultimately responsible for the PISA report, points out that “too many students around the world are trapped in a vicious cycle of poor performance and demotivation that only leads to even worse results and school dropout.” The resolution of this problem cannot and should not be based on opinions, intuitions or informal inferences from one’s own experiences but rather requires the rigor and objectivity that research in mathematics education provides. In particular, there are already well-established lines of work focused on affective issues in mathematics and their influence both on student performance and on their way of seeing and living mathematics.

Attitudes toward mathematics, beliefs about its nature or about how it is taught and learned, mathematical self-concepts, anxiety toward mathematics, and the perception of its difficulty and usefulness are some of the ingredients of an affective domain whose characterization, dynamics, and behavior are an issue that, although not completely resolved, already has a leading role that is at least increasing and with notable advances, especially in terms of diagnosis.

The challenge now is how to take advantage of all that we already know and all that we continue to learn to reduce academic failure in mathematics and move toward a more competent and mathematically happier society.

This Special Issue calls for evidence from research that provides sound knowledge to allow an effective inclusion of the affective domain in the teaching and learning of mathematics. Both quantitative and qualitative studies are welcome, as well as mixed-methods-based ones. In particular, this Special Issue is concerned with—but not restricted to—the following topics:

  • Advances in the measurement of affective domain variables (new tools, techniques, procedures, etc.);
  • (Re)Conceptualization of the affective domain in mathematics;
  • Integration of the affective domain in universal designs for learning in mathematics;
  • The affective domain as a teacher’s specialized knowledge;
  • Affective domain and learning difficulties, disorders, and disabilities in mathematics.

Prof. Dr. José María Marbán
Guest Editor

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Keywords

  • Affective domain in mathematics
  • Teaching and learning mathematics
  • Mathematics teacher’s specialized knowledge
  • Universal design for learning
  • Mathematics anxiety
  • Attitudes
  • Beliefs
  • Values
  • Emotions
  • Ethics
  • Learning difficulties
  • Learning disabilities
  • Learning disorders
  • Measurement and intervention

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Published Papers (5 papers)

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Research

18 pages, 1053 KiB  
Article
Mathematical Problem Solving through the Lens of Ethics and Aristotelian Attitude: A Case Study
by José M. Marbán and Joaquín Fernández-Gago
Mathematics 2022, 10(15), 2565; https://doi.org/10.3390/math10152565 - 23 Jul 2022
Cited by 3 | Viewed by 2604
Abstract
Attitudes are central to the affective domain in mathematics. However, we still have a long way to go to reach a clear consensus on the characterization of such construct and its operationalization, as there are a wide variety of intertwined approaches depending on [...] Read more.
Attitudes are central to the affective domain in mathematics. However, we still have a long way to go to reach a clear consensus on the characterization of such construct and its operationalization, as there are a wide variety of intertwined approaches depending on the theoretical framework that accompanies each of them. In this article, we explore the idea of incorporating ethics as part of a new characterization of attitude in problem solving contexts by means of an instrumental case study consisting of a key informant 10th grade student. Data were collected via classroom observations, questionnaires, semi-structured interviews and written productions. Results were analyzed using the lens of Aristotelian Ethics and the Theory of Creative Intelligence and show how happiness, responsibility and strength are key concepts that help to describe and understand the way the student behaves when solving mathematical problems. We conclude that besides the traditional attention paid to attitudes towards math, it is worth directing our attention towards attitudes influenced by ethics and personal affect as a whole. Full article
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13 pages, 266 KiB  
Article
Metacognitive Strategies Related with Logical–Mathematical Thinking for Adolescents with ADHD
by Georgios Tsampouris and Begoña Esther Sampedro Requena
Mathematics 2022, 10(11), 1810; https://doi.org/10.3390/math10111810 - 25 May 2022
Cited by 1 | Viewed by 2921
Abstract
This article focuses on the contributions of the still-scarce corroborations available on the social nature of the metacognitive regulation of joint attempts in order to offer systematic means to operationalize and analyze shared regulation. The mathematical knowledge aims to achieve the metacognitive needs [...] Read more.
This article focuses on the contributions of the still-scarce corroborations available on the social nature of the metacognitive regulation of joint attempts in order to offer systematic means to operationalize and analyze shared regulation. The mathematical knowledge aims to achieve the metacognitive needs of students and, in particular, those with learning difficulties. The present research process aims to explain the relationship between the logical and mathematical thinking of students with ADHD in secondary education schools in Heraklion (Crete) and metacognitive awareness and academic motivation, including questions about pupils’ logical–mathematical skills and logical decisions of life and problem solving. Appropriate psychometric tools are used to evaluate their performance as well as their short and medium-term and consequently their long-term goals. The results of the current study imply that, when students realize that teachers and their parents emphasize the essential process of learning, appropriate strategies can be shown to them to allow them to learn how to solve problems on their own. As a result, it is of great significance to point out the relationship between students’ academic achievement and academic motivation. Full article
17 pages, 683 KiB  
Article
“It Is Like a Feeling”: Theorizing Emotion in Mathematics through Complex Embodiment
by Rachel Lambert, David Hernández-Saca, Rebeca Mireles-Rios and Marilyn Monroy Castro
Mathematics 2022, 10(6), 937; https://doi.org/10.3390/math10060937 - 15 Mar 2022
Cited by 2 | Viewed by 3211
Abstract
Conversations of educational equity in mathematics necessitate a more deliberate, nuanced look at the mathematical processes of learning for students of color from historically marginalized communities. This paper describes the theoretical work of a research collaborative that seeks to develop understanding of the [...] Read more.
Conversations of educational equity in mathematics necessitate a more deliberate, nuanced look at the mathematical processes of learning for students of color from historically marginalized communities. This paper describes the theoretical work of a research collaborative that seeks to develop understanding of the experiences around mathematical identity of Latinas labeled with Learning Disabilities in mathematics classrooms. Expanding the theory of Complex Embodiment from Disability Studies, we explore new interdisciplinary theoretical and methodological tools to analyze the emotional, embodied experience of learning mathematics in the social worlds of mathematics classrooms, using emotional discourse. We take up theoretical and methodological practices around intersectionality through analysis of how power and positioning operate in mathematics identity development. We find that the young woman whose narratives we explore in this paper is positioned through deficit discourses around disability and multilingual learners, yet she understands herself through a positive mathematical affinity she shares with her mother. Over time, we see her narratives shift emotionally away from mathematics, as well as away from this connection with her mother. Her narratives help us develop a theoretical perspective that understands emotion in mathematics learning as both embodied and socially constructed. Full article
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18 pages, 991 KiB  
Article
Prospective Primary Teachers’ Didactic-Mathematical Knowledge in a Service-Learning Project for Inclusion
by Teresa F. Blanco, Alejandro Gorgal-Romarís, Cristina Núñez-García and Pablo G. Sequeiros
Mathematics 2022, 10(4), 652; https://doi.org/10.3390/math10040652 - 19 Feb 2022
Cited by 4 | Viewed by 2948
Abstract
An analysis of the didactic-mathematical knowledge put into play by a sample of 30 prospective primary teachers during their participation in a Service-Learning program focused on mathematical stimulation as a measure of attention to adolescents at risk of social exclusion is presented. The [...] Read more.
An analysis of the didactic-mathematical knowledge put into play by a sample of 30 prospective primary teachers during their participation in a Service-Learning program focused on mathematical stimulation as a measure of attention to adolescents at risk of social exclusion is presented. The program aimed to respond to current training demands by promoting the development of mathematics-specific professional competencies, as well as social skills to interact with students, and to positively influence the prospective teachers’ affection towards mathematics and its teaching. It was developed during three academic years in two phases: the learning module was oriented to the presentation of the mathematical stimulus program and the didactical analysis of the STEAM activities knocking it into shape; in the service module, the participants implemented the activities in an educational center with students at risk of social exclusion. The analysis was carried out from the video recordings of the sessions, the future teachers’ written reports with the analysis of the activities, questionnaires on the didactic-mathematical knowledge and a satisfaction test. The results show difficulties on the part of the future teachers to analyze some of the activities of the program, which seems to have its origin in their poor command of the common knowledge of the mathematical content, which also limits them when it comes to managing the activities in the way expected for the stimulus program. All in all, participation in the program was positively assessed by them in relation to its usefulness for their training. The potential benefit of Service-Learning programs such as the one addressed here in the face of a positive impact on the affections towards mathematics is concluded, as a necessary step for a more effective acquisition of didactic-mathematical knowledge and skills in the initial training. Full article
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13 pages, 306 KiB  
Article
Can Mathematics Achievement Be Predicted? The Role of Cognitive–Behavioral–Emotional Variables
by Raquel Fernández-Cézar, Natalia Solano-Pinto and Dunia Garrido
Mathematics 2021, 9(14), 1591; https://doi.org/10.3390/math9141591 - 7 Jul 2021
Cited by 3 | Viewed by 3736
Abstract
The current society is based on science and technology, depending partly on mathematics. It leads to citizens’ success in school mathematics, being measured through achievement, which can be predicted by affective, cognitive, and behavioral variables. The aim of this study was to determine [...] Read more.
The current society is based on science and technology, depending partly on mathematics. It leads to citizens’ success in school mathematics, being measured through achievement, which can be predicted by affective, cognitive, and behavioral variables. The aim of this study was to determine the extent to which self-concept, learning strategies, attitude towards science and mathematics, school environment, and previous scores in science and mathematics predict achievement in mathematics. A convenience sample of 352 pupils taking part in a science, technology, engineering, and mathematics (STEM) experimentation outreach program belonging to state schools and state-funded schools from rural and urban environments was analysed. The instrument was composed of the Auzmendi scale of attitude towards mathematics modified, the attitude towards school science, the AUDIM questionnaire for self-concept (physical, social, personal, academic, and general), and the CEA questionnaire for learning strategies (emotional control, critical and creative thinking, and metacognition). Sex, type of school, and school environment were covariates. A binary logistic regression model was obtained for mathematics achievement, which correctly classified 82.1% of students, with previous science and mathematics achievement, science achievement, and critical and creative thinking as predictors, and urban schools playing a positive role. Implications of these predictors on mathematics education are discussed. Full article
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