Content area

Abstract

This study introduces a comprehensive educational intervention designed to strengthen numerical thinking in third-grade mathematics education through problem-solving. Anchored in Pólya’s problem-solving framework, this research employs a qualitative, descriptive methodology to design and assess a didactic unit. The intervention comprises six structured activities aimed at evaluating and enhancing students’ competencies in numerical thinking and problem-solving. This study’s findings reveal a marked improvement in students’ mathematical abilities, particularly in applying problem-solving techniques to various mathematical contexts. This progress highlights the intervention’s effectiveness in fostering critical thinking and boosting educational outcomes in mathematics. The proposed model demonstrates versatility, offering a scalable approach for enhancing mathematical competencies in diverse educational environments. By integrating Pólya’s systematic steps into instructional practices, this research contributes significantly to pedagogical strategies in mathematics. The innovative use of problem-solving as a learning and evaluation tool not only bridges theoretical and practical knowledge, but also provides a replicable framework for advancing numerical thinking. The methodological approach, which combines qualitative analysis with tangible classroom applications, underscores the potential for transforming mathematics education and improving students’ engagement and proficiency in the subject.

Details

Title
Enhancing Numerical Thinking Through Problem Solving: A Teaching Experience for Third-Grade Mathematics
Author
Torres-Peña, Roberto Carlos 1   VIAFID ORCID Logo  ; Peña-González Darwin 2   VIAFID ORCID Logo  ; Lara-Orozco, Jorge Luis 1 ; Ariza Edwan Anderson 3   VIAFID ORCID Logo  ; Vergara, Diego 4   VIAFID ORCID Logo 

 Facultad de Educación, Universidad del Magdalena, Santa Marta 470004, Colombia; [email protected] (R.C.T.-P.); [email protected] (D.P.-G.); [email protected] (J.L.L.-O.), Facultad de Ingeniería, Universidad del Magdalena, Santa Marta 470004, Colombia; [email protected] 
 Facultad de Educación, Universidad del Magdalena, Santa Marta 470004, Colombia; [email protected] (R.C.T.-P.); [email protected] (D.P.-G.); [email protected] (J.L.L.-O.) 
 Facultad de Ingeniería, Universidad del Magdalena, Santa Marta 470004, Colombia; [email protected] 
 Technology, Instruction and Design in Engineering and Education Research Group (TiDEE.rg), Catholic University of Ávila, 05005 Ávila, Spain 
First page
667
Publication year
2025
Publication date
2025
Publisher
MDPI AG
e-ISSN
22277102
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3223902523
Copyright
© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.