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395 Results Found

  • Article
  • Open Access
7 Citations
4,472 Views
27 Pages

1 October 2025

Fostering mathematical thinking, communication, and creativity has become a central goal in mathematics education as these competencies are strongly linked to flexible problem solving and innovative engagement. Prior research has shown that students&...

(This article belongs to the Special Issue Creativity in Education: Influencing Factors and Outcomes)
  • Article
  • Open Access
17 Citations
16,562 Views
18 Pages

24 March 2019

Mathematical thinking (MT) has been one of the most important goals for mathematics education as it can support sustainable mathematics learning. Its role in school mathematics has recently been explicitly identified as one of “Four Basics&rdqu...

  • Article
  • Open Access
13 Citations
6,364 Views
15 Pages

Mathematical Thinking Styles—The Advantage of Analytic Thinkers When Learning Mathematics

  • Jaime Huincahue,
  • Rita Borromeo-Ferri,
  • Pamela Reyes-Santander and
  • Viviana Garrido-Véliz

School is a space where learning mathematics should be accompanied by the student’s preferences; however, its valuation in the classroom is not necessarily the same. From a quantitative approach, we ask from the mathematical thinking styles (MTS) the...

  • Article
  • Open Access
6 Citations
4,649 Views
12 Pages

16 July 2020

Making use of a phenomenological stance which first and foremost values the lived experience of learners, six tasks are used to illustrate what it might mean for a mathematical task to be deemed worthy of being offered to learners. These take the for...

(This article belongs to the Special Issue Math Education and Problem Solving)
  • Article
  • Open Access
1 Citations
3,316 Views
14 Pages

Mathematical Thinking and the VESS Model: A Descriptive Study

  • María Helena Romero-Esquinas,
  • Juan Manuel Muñoz-González,
  • Esther María Vega-Gea and
  • María Dolores Hidalgo-Ariza

6 April 2022

Critical, creative, and flexible thinking is one of the educational priorities in the 21st Century, at a time in which the world is showing its most ephemeral and uncertain side. In this sense, visible thinking is a fundamental tool for achieving mor...

  • Article
  • Open Access
6 Citations
2,739 Views
19 Pages

10 November 2025

As conversational artificial intelligence (CAI), including smart speakers, social robots, and dialogic learning apps, becomes increasingly present in children’s lives, its potential to support early mathematical thinking warrants closer attenti...

(This article belongs to the Special Issue Exploring Mathematical Thinking in Early Childhood Education)
  • Article
  • Open Access
19 Citations
6,727 Views
20 Pages

21 December 2020

Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing central roles within teaching and learning in the field of mathematics, particularly in solving complex open-ended mathematical problems Specific relations betw...

(This article belongs to the Special Issue Futuring Mathematics Education—Core Teaching Practices to Prepare Students for the 21st Century: An International Perspective)
  • Article
  • Open Access
18 Citations
8,417 Views
18 Pages

This study was to investigate the relationship between metacognition and the mathematical modeling skills of high school students, as well as the mediating role of computational thinking. A cluster sampling method was adopted to investigate 661 high...

  • Article
  • Open Access
1,313 Views
28 Pages

The Priming Effect of Auxiliary Line Construction on Mathematical Creative Thinking: An fNIRS Study

  • Chunli Zhang,
  • Kai An,
  • Jiacheng Li,
  • Qinchen Yang and ,
  • Meihui Song and
  • Li Wang
  • + 1 author+ 0 author

Auxiliary line construction has been identified as a crucial approach to fostering mathematical creative thinking. However, existing studies have only focused on the correlations between auxiliary line construction tasks and mathematical creative thi...

(This article belongs to the Section Studies on Cognitive Processes)
  • Article
  • Open Access
5 Citations
2,057 Views
20 Pages

26 March 2025

This research aims to investigate the impact of professional materials’ interpretation on the decision-making of preservice secondary teachers when analyzing the mathematical thinking of a 15–16-year-old high school student engaged in ari...

(This article belongs to the Special Issue Different Approaches in Mathematics Teacher Education)
  • Article
  • Open Access
1 Citations
1,389 Views
21 Pages

As the capacity to monitor and regulate one’s own cognitive processes, metacognition is considered pivotal for mathematics learning and the development of higher-order thinking skills. However, research from a person-centered perspective remain...

(This article belongs to the Special Issue Metacognition and Self-Regulated Learning in Diverse Educational Contexts)
  • Article
  • Open Access
4 Citations
5,601 Views
17 Pages

A Case Study of Computational Thinking Analysis Using SOLO Taxonomy in Scientific–Mathematical Learning

  • Alejandro De la Hoz Serrano,
  • Andrés Álvarez-Murillo,
  • Eladio José Fernández Torrado,
  • Miguel Ángel González Maestre and
  • Lina Viviana Melo Niño

Education nowadays requires a certain variety of resources that allow for the acquisition of 21st-century skills, including computational thinking. Educational robotics emerges as a digital resource that supports the development of these skills in bo...

(This article belongs to the Special Issue Transformative Approaches in Education: Harnessing AI, Augmented Reality, and Virtual Reality for Innovative Teaching and Learning)
  • Article
  • Open Access
299 Views
33 Pages

Developing flexible thinking, generating alternative solution strategies, and producing original ideas are increasingly emphasized in mathematics education. This study examines the relationships among preservice elementary mathematics teachers’ probl...

(This article belongs to the Section Studies on Cognitive Processes)
  • Article
  • Open Access
3 Citations
2,232 Views
22 Pages

Computational Play in Early Childhood: Integrating Analog and Digital Tools to Support Mathematical Learning and Computational Thinking

  • Eva Brooks,
  • Camilla Finsterbach Kaup,
  • Susanne Dau,
  • Emma Edstrand and ,
  • Francesca Granone and
  • Elin Kirsti Lie Reikerås
  • + 1 author+ 0 author

27 November 2025

Although play naturally embeds computational thinking (CT) and mathematical learning in early childhood education, designing developmentally appropriate learning activities that purposefully nurture and extend these competencies remains a challenge....

(This article belongs to the Section STEM Education)
  • Review
  • Open Access
1,549 Views
22 Pages

Artificial Intelligence, Sustainability, and the Development of Mathematical Thinking: A Theory-Grounded Scoping Review

  • Georgios Polydoros,
  • Ilias Vasileiou,
  • Zoe Krokou and
  • Alexandros-Stamatios Antoniou

Artificial intelligence (AI) tools are increasingly integrated into mathematics education, yet most reviews emphasize achievement rather than how AI shapes mathematical thinking. This scoping review mapped literature published between 2020 and 2026 o...

(This article belongs to the Section Social Sciences)
  • Article
  • Open Access
3 Citations
2,372 Views
18 Pages

The Impact of Computational Thinking on Logical-Mathematical Reasoning in High School Education: A Quasi-Experimental Study

  • Rubén Pajares Pescador,
  • Luis Jorge Martín-Antón and
  • Miguel Á. Carbonero-Martín

21 February 2026

This article explores what impact a program of IT programming (Scratch and Python) activities has on the logical-mathematical reasoning of high school children. The sample comprised a group of 388 high school students, spanning first-year compulsory...

(This article belongs to the Special Issue Cognitive and Developmental Psychology in STEM Education)
  • Article
  • Open Access
831 Views
23 Pages

The examination of thinking skills has become a contemporary and imperative focus within educational research, capturing considerable attention from scholars. The present study endeavors to explore the mediating role of critical thinking tendency in...

(This article belongs to the Special Issue Emotions, Well-Being and Intelligence: Assessment, Interventions and Professional Development)
  • Article
  • Open Access
373 Views
22 Pages

17 September 2026

Structural thinking is widely recognized as an important aspect of mathematical thinking, yet the role of structuring representations in supporting generalization has received relatively little attention. This study examined how pre-service mathemati...

(This article belongs to the Special Issue Reimagining Teacher Education and Professional Development for Pedagogical Transformation Across Higher Education and Schools)
  • Article
  • Open Access
681 Views
13 Pages

29 March 2026

Computational thinking has been increasingly recognised as a core component of mathematics education, particularly in areas where analytical reasoning and computational practices intersect. However, limited empirical research has examined how computa...

(This article belongs to the Special Issue Integrating Computational Thinking into Mathematics Education: A Pathway to Problem Solving)
  • Article
  • Open Access
10 Citations
3,289 Views
18 Pages

Analysis of Gender Issues in Computational Thinking Approach in Science and Mathematics Learning in Higher Education

  • Alejandro De la Hoz Serrano,
  • Lina Viviana Melo Niño,
  • Andrés Álvarez Murillo,
  • Miguel Ángel Martín Tardío and ,
  • Florentina Cañada Cañada and
  • Javier Cubero Juánez
  • + 1 author+ 0 author

In the contemporary era, Computational Thinking has emerged as a crucial skill for individuals to possess in order to thrive in the 21st century. In this context, there is a need to develop a methodology for cultivating these skills within a science...

  • Article
  • Open Access
1,012 Views
18 Pages

Examining Coherence in Preservice Mathematics Teachers’ Noticing of Students’ Thinking About Classification in Geometry

  • Hélia Oliveira,
  • Fernanda Caroline Cybulski and
  • Márcia Cristina de Costa Trindade Cyrino

16 November 2025

This study aims to examine the thematic coherence among preservice mathematics teachers’ noticing components when analysing students’ thinking about classification in geometry, as well as the actions they propose to respond to those stude...

(This article belongs to the Special Issue Different Approaches in Mathematics Teacher Education)
  • Article
  • Open Access
643 Views
28 Pages

20 September 2026

Developing pre-service mathematics teachers’ ability to understand students’ mathematical thinking and anticipate students’ difficulties remains a challenge in teacher education. This exploratory mixed-methods study involved 21 pre-...

  • Article
  • Open Access
31 Citations
6,565 Views
13 Pages

Introduction to Computational Thinking with Scratch for Teacher Training for Spanish Primary School Teachers in Mathematics

  • Álvaro Molina-Ayuso,
  • Natividad Adamuz-Povedano,
  • Rafael Bracho-López and
  • Manuel Torralbo-Rodríguez

8 December 2022

In recent years, the inclusion of computational thinking in education has become very important. This is a response to the needs of the evolution of our society and the skills demanded in students to obtain practical and integrated training. For this...

(This article belongs to the Special Issue Using Technology in Teaching Mathematics)
  • Article
  • Open Access
2 Citations
1,062 Views
14 Pages

Gamified Micro:Bit for Computational Thinking and Low-Code Programming in Sustainable Mathematics Education

  • Jin Su Jeong,
  • Ana Isabel Montero-Izquierdo,
  • Félix Yllana-Prieto and
  • David González-Gómez

3 March 2026

Computational thinking (CT) is increasingly being integrated into educational curricula alongside mathematical thinking (MT) within science, technology, engineering, and mathematics (STEM) education. Physical computing devices now support low-code pr...

(This article belongs to the Section Sustainable Education and Approaches)
  • Article
  • Open Access
129 Citations
19,515 Views
41 Pages

In science, technology, engineering, arts, and mathematics (STEAM) education, artificial intelligence (AI) analytics are useful as educational scaffolds to educe (draw out) the students’ AI-Thinking skills in the form of AI-assisted human-centr...

(This article belongs to the Special Issue Trends in STEM Education)
  • Article
  • Open Access
13 Citations
7,135 Views
19 Pages

17 February 2024

With increasing attention on the potential overlap between computational thinking (CT) and mathematical reasoning, STEM education researchers seek to understand how integrating CT and mathematics can deepen student learning across disciplines. Althou...

(This article belongs to the Section STEM Education)
  • Article
  • Open Access
3 Citations
2,888 Views
16 Pages

28 September 2022

In this study, prospective teachers engaged in professional noticing of their students’ mathematical thinking captured in pieces of written work. Researchers then worked to characterize the prospective teachers’ professional noticing usin...

(This article belongs to the Section Teacher Education)
  • Article
  • Open Access
3 Citations
5,370 Views
13 Pages

25 May 2022

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 math...

(This article belongs to the Special Issue Effective Integration of the Affective Domain in the Teaching and Learning of Mathematics)
  • Article
  • Open Access
6 Citations
3,303 Views
35 Pages

9 August 2021

This article considers a partly philosophical question: What are the ontological and epistemological reasons for using quantum-like models or theories (models and theories based on the mathematical formalism of quantum theory) vs. classical-like ones...

(This article belongs to the Special Issue Quantum Models of Cognition and Decision-Making)
  • Article
  • Open Access
1,632 Views
17 Pages

Informal Mathematical Thinking: Invariance of the Role of Domain-General and Domain-Specific Precursors in Spain and Chile

  • Gamal Cerda,
  • Carlos Pérez,
  • Eugenio Chandía,
  • Estíbaliz Aragón and
  • José I. Navarro

This study examines how domain-general (processing speed and receptive vocabulary) and domain-specific (symbolic and non-symbolic comparison) cognitive skills contribute to early informal mathematical thinking in preschoolers. The aim was to assess t...

(This article belongs to the Special Issue Cognitive, Emotional, and Social Skills in Students)
  • Article
  • Open Access
5 Citations
4,954 Views
16 Pages

24 September 2024

This research was conducted in 2019 in collaboration with Japanese colleagues, with the research tasks translated from the original Japanese. In Finland, a total of 1112 students from grades 7–9 in primary school participated in the study. In o...

(This article belongs to the Special Issue Editorial Board Members’ Collection Series in “STEM Education”)
  • Article
  • Open Access
1 Citations
1,180 Views
18 Pages

This study evaluates whether theory-informed, mathematically focused support can ease the school-to-university transition in an unequal South African STEM context. First-year students could voluntarily attend Mathematical Thinking Workshops (MTWs) gr...

(This article belongs to the Special Issue Engaging Students to Transform Tertiary Mathematics Education)
  • Article
  • Open Access
7 Citations
3,022 Views
13 Pages

Our mathematical thinking sheds light on how we see our world and what knowledge we have about it. In spite of this, mathematical performance is still mostly measured in calculation skills, and this also predestines the success of learning. So at sch...

  • Article
  • Open Access
12 Citations
4,888 Views
24 Pages

Didactic–Mathematical–Computational Knowledge of Future Teachers When Solving and Designing Robotics Problems

  • Gemma Sala-Sebastià,
  • Adriana Breda,
  • María José Seckel,
  • Danyal Farsani and
  • Àngel Alsina

26 January 2023

The social, scientific and technological development of recent years has encouraged the incorporation of computational thinking in the school curriculum of various countries progressively, starting from early childhood education. This research aims t...

  • Article
  • Open Access
2 Citations
1,592 Views
17 Pages

University mathematics-support programs rarely test their theoretical foundations against student evidence, particularly in the Global South. This study addresses that gap by analyzing how students’ experiences in Mathematical Thinking Workshop...

(This article belongs to the Special Issue Engaging Students to Transform Tertiary Mathematics Education)
  • Article
  • Open Access
4 Citations
3,298 Views
16 Pages

Activities with BBC micro:bit as a Foundation for Statistical Reasoning of Lower-Secondary Students

  • Michal Fojtík,
  • Martin Cápay,
  • Janka Medová and
  • Ľubomíra Valovičová

21 July 2023

Computational thinking is considered a set of skills necessary for living and working in today’s society. It has recently become part of mathematics curricula in several European countries. In this study, we offer a glimpse into the informal cl...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1 Citations
1,282 Views
25 Pages

19 November 2025

This study examines the performances of gifted and talented high schoolers in transforming computational thinking skills and mathematical knowledge into creative STEM project production. A mixed-methods sequential explanatory research design involvin...

(This article belongs to the Special Issue Creativity and Education)
  • Article
  • Open Access
1 Citations
2,038 Views
22 Pages

Analysis of the Level of Geometric Thinking of Pupils in Slovakia

  • Katarína Žilková,
  • Ján Záhorec and
  • Michal Munk

8 August 2025

This study is focused on the analysis of the level of geometric thinking of 15-year-old Slovak pupils in relation to the difficulty of geometric problems, their gender, and their assessment in mathematics. The main aim of this study was to determine...

  • Article
  • Open Access
199 Views
28 Pages

2 November 2026

Generative artificial intelligence (AI) is mostly used in education to generate solutions, provide feedback or support instruction; approaches that use AI outputs as objects of comparison and reflection remain less explored. This small-scale explorat...

(This article belongs to the Special Issue AI for Sustainable and Creative Learning in Education)
  • Article
  • Open Access
1,475 Views
16 Pages

14 August 2025

This study examines how preschool teachers reflect on their role in challenging children’s mathematical thinking in play. The study was conducted with participants in Italy and Sweden, and data were collected through focus group discussions. We...

(This article belongs to the Special Issue Early Mathematics Education with a Focus on the Teacher and the Teaching)
  • Article
  • Open Access
713 Views
18 Pages

23 April 2026

This study explored individual differences among senior high school students in detecting and correcting logical errors in mathematical reasoning. Eight participants with high and average mathematical abilities each were recruited from a key high sch...

  • Article
  • Open Access
8 Citations
5,754 Views
13 Pages

7 July 2021

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...

(This article belongs to the Special Issue Effective Integration of the Affective Domain in the Teaching and Learning of Mathematics)
  • Article
  • Open Access
367 Views
20 Pages

Metric Thinking: Contributions to Its Characterization from a Multilevel Perspective

  • Jaider Albeiro Figueroa-Flórez,
  • John Jairo Salazar-Buitrago and
  • Cristian David Correa-Álvarez

This article develops a local theory for characterizing metric thinking in the measurement of spatial properties from a multilevel curricular perspective, understood as an analytic lens for scaling measurement processes across curricular complexity r...

(This article belongs to the Special Issue Supporting Student Success in STEM: Innovations in Teaching and Learning)
  • Article
  • Open Access
22 Citations
13,564 Views
20 Pages

The Impact of Integrated Project-Based Learning and Flipped Classroom on Students’ Computational Thinking Skills: Embedded Mixed Methods

  • Muh Fitrah,
  • Anastasia Sofroniou,
  • Caly Setiawan,
  • Widihastuti Widihastuti and ,
  • Novi Yarmanetti,
  • Melinda Puspita Sari Jaya,
  • Jontas Gayuh Panuntun,
  • Arfaton Arfaton,
  • Septrisno Beteno and
  • Ika Susianti
  • + 5 authors+ 0 author

Computational thinking skills among high school students have become a global concern, especially in the context of the ever-evolving digital education era. However, the attention given by teachers to this skill during mathematics instruction has not...

(This article belongs to the Special Issue Project-Based Learning in Integrated STEM Education)
  • Article
  • Open Access
325 Views
15 Pages

15 September 2026

Grouping, classification, and logical reasoning activities in early childhood education have traditionally been grounded in classical set theory and binary logic. Fuzzy set theory and fuzzy logic extend this framework by allowing degrees of membershi...

(This article belongs to the Special Issue Bridging Mathematics and the Arts: Interdisciplinary Approaches)
  • Article
  • Open Access
615 Views
25 Pages

3 August 2026

This study investigates how pre-service primary education teachers (PSTs) develop geometric thinking when exposed to an instructional approach based on van Hiele’s theory. Ninety undergraduate students were divided into experimental and control...

  • Article
  • Open Access
42 Citations
12,376 Views
23 Pages

Transfer of learning, the application of learning to different contexts over time, is important to all learning for development. As 21st century skills specifically aim to be “generic,” there is an assumption that they can be transferred...

  • Article
  • Open Access
2,615 Views
16 Pages

8 August 2024

In the United States, teachers are often expected to use student assessment data to inform their instructional decisions. This study explores how teachers’ collective reflections on students’ mathematical thinking are influenced by the sp...

(This article belongs to the Section Teacher Education)
  • Article
  • Open Access
1 Citations
4,445 Views
15 Pages

10 April 2024

The aim of this paper is to discuss the emergence of recursive thinking through the famous problem posed by Fibonacci regarding the growth of the rabbit population. This paper qualitatively analyzes and discusses the semiotic aspects raised by the st...

(This article belongs to the Special Issue Storytelling in STEM Disciplines—At the Crossroads of Science and Humanities)
  • Article
  • Open Access
1,208 Views
23 Pages

5 November 2025

This article deals with the quality of dialogue between preschool teachers and children during mathematical activities. Thoughtful and attentive dialogue captures children’s attention and allows them to reason, express thoughts and disagreement...

(This article belongs to the Special Issue Exploring Mathematical Thinking in Early Childhood Education)

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