WJEMSD · Vol 20, Nos 3/4 · 2024Research

Design and Implementation of a Learning Task for the Study of Sine and Cosine Functions, Mejía Farid, Prof. Agustín Rodríguez, Prof. Edis Figueroa, Prof. Luisa Morales-Maure

Mejía Bolio Farid
Hidalgo State High School, Community Teleworking
Mexico
Academic Area of Mathematics and Physics, Autonomous University of the State of Hidalgo
Department of Basic Sciences, National Technological Institute of Mexico, Technological Institute of Atitalaquia
Mexico
Department of Mathematics, Faculty of Natural Sciences and Technology
Universidad de Panama
Panama
Department of Mathematics, Faculty of Natural Sciences and Technology
Universidad de Panama, Miembro del Sistema Nacional de Investigación (SNI-SENACYT)
Panama
Received: 21 November 2024Revised: 6 December 2024Accepted: 12 November 2024Published: 30 December 2024
Purpose

This research aims to design and implement a Mathematical Learning Task (MLT) to teach trigonometric functions, specifically sine and cosine, to first-year high school students. It addresses difficulties in teaching and learning these concepts, particularly due to the dichotomous tradition of teaching them either as ratios in right triangles or as functions of a real variable.

Design/Methodology/Approach

The study involved the development of a learning task that incorporated a physical manipulative, followed by a comparison of traditional pencil-and-paper methods with digital tools. The task focused on promoting activities such as pattern identification, conjecture formulation, and result communication, all essential for deepening students' understanding of mathematical concepts.

Findings

The results showed an increase in student interest and a better understanding of key ideas and concepts related to trigonometric functions. Additionally, an evaluation rubric was developed based on the cognitive demand of the tasks, which helped assess the depth of student engagement and comprehension.

Original/Value of the Paper

This study contributes to the teaching of trigonometry by highlighting an innovative approach that blends traditional and digital methods, offering a more engaging and comprehensive way to teach complex mathematical functions to high school students.

Research Limitations/Implications

While the findings are promising, further studies are needed to explore the long-term impact of such tasks on students' overall understanding of trigonometry and their ability to apply these concepts in different contexts.

Practical Implications

The findings suggest that integrating physical manipulatives with digital tools can enhance student learning, providing teachers with a new approach to improving students' understanding of trigonometric functions.

Keywords
Mathematical Learning TasksSine and Cosine FunctionsCognitive DemandDigital Tools
Citation

Bolio, F.M., Torres Rodríguez, A.A., Flores Figueroa, E.A. and Morales-Maure, L. (2024): Design and Implementation of a Learning Task for the Study of Sine and Cosine Functions. World Journal of Entrepreneurship, Management and Sustainable Development, Vol. 20, Nos 3-4, pp.229-245.