Journal on Mathematics Education
Volume 15, No. 3, 2024, pp. 815-834
http://doi.org/10.22342/jme.v15i3.pp815-834
Enhancing fraction learning through problem-solving and historical
context: A didactic unit approach
Roberto Carlos Torres-Peña
1,2
, Darwin Peña González
1
, Edwan Anderson Ariza
2*
1
Facultad de Educación, Universidad del Magdalena, Santa Marta/Magdalena, Colombia
2
Facultad de Ingeniería, Universidad del Magdalena, Santa Marta/Magdalena, Colombia
*Correspondence: earizaec@unimagdalena.edu.co
Received: 4 March 2024 | Revised: 14 May 2024 | Accepted: 20 June 2024 | Published Online: 30 July 2024
© The Authors 2024
Abstract
This study examines the outcomes of implementing a teaching unit that integrates problem-solving with the history
of mathematics to improve fifth-grade students' understanding of fractions at an educational institution in Yopal,
Colombia. Utilizing an educational action research methodology, the study commenced with a diagnostic
assessment to identify learning gaps, followed by the design and implementation of a didactic unit. This unit
comprised three activities embedded in historical contexts to facilitate the learning of fractions, with its
effectiveness assessed through an exit test. Conducted with 32 fifth-grade students, the research employed
diagnostic and exit tests to evaluate student performance before and after the activities. The results demonstrated
that the teaching unit significantly enhanced students' abilities to understand and apply fractions, as evidenced
by their improved performance in the activities within the didactic unit.
Keywords: Didactic Unit, Education Fractions, History of Mathematics, Pólya Method
How to Cite: Torres-Peña, R. C., González, D. P., & Ariza, E. A. (2024). Enhancing fraction learning through
problem-solving and historical context: A didactic unit approach. Journal on Mathematics Education, 15(3), 815-
834. http://doi.org/10.22342/jme.v15i3.pp815-834
Mathematics plays a pivotal role in cognitive development and the demonstration of human intellectual
capacity. Its foundational importance during the early years of education cannot be overstated, as it
establishes the basis for acquiring knowledge, attitudes, and skills essential for logical reasoning. This
foundational learning equips students to address real-world problems with efficacy.
Mathematics involves various principles that require reasoning and comprehension of specific
contexts for problem-solving. Consequently, it intersects significantly with logical, abstract, and critical
thinking. Effective teaching strategies necessitate educators' use of specialized materials and techniques
designed to enhance these competencies. Within mathematical content, certain topics, such as fractions,
are explored through real-world problems that resonate with students due to their broad applicability.
Fractions, a fundamental topic from elementary school onward, involve logical sequencing processes.
Students often encounter systematic errors, particularly in understanding and manipulating fractions as
part-to-whole relationships (Butto, 2013; Wahyu et al., 2020).
The challenges associated with learning fractions are underscored by reports from the United
Nations Educational, Scientific and Cultural Organization (UNESCO), which highlight that the primary
goal of mathematics education in basic education is to ensure mathematical literacy for all students.