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Cultural-Historical Psychology
2016. Vol. 12, no. 1, 35–45
https://doi.org/10.17759/chp.2016120104
ISSN: 1816-5435 / 2224-8935 (online)

Using Pictures as Cultural Means in Finding Similarities between Solutions to Algebraic Tasks

 
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Abstract

Solving textual algebraic tasks requires finding important mathematical variables in the text and turning them into equations. Many students, following their teacher’s advice or at their own initiative, use pictures as a means of better understanding the mathematical structure of the task. In this study we explored which features of pictures were the most essential to the students in finding the appropriate solution based on their experience. We created a set of pictures that differed in parameters of analogy and completeness of relationships between elements. The subjects were asked to evaluate the usefulness of the solution to the initial task (represented by the picture) for solving the target task. As it was revealed, in their evaluations the subjects were more likely to focus on the completeness of the depicted relationships rather than on the analogy of the picture. This tendency was also more evident in experienced subjects as compared to inexpe- rienced ones. The outcomes of our study are interpreted in terms of the development of cultural means in the transition from everyday concepts to scientific concepts in the process of learning.

General Information

Keywords: algebraic tasks, solution, representation, symbolization, cultural means

Journal rubric: Empirical Research

OpenAlex citations: 0

OpenAlex trends: Science Education and Pedagogy, Educational Strategies and Epistemologies, Innovative Teaching and Learning Methods

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Science Education and Pedagogy

This cluster of papers explores the enhancement of science education through inquiry-based teaching, argumentation discourse, and the development of scientific literacy. It delves into topics such as the nature of science, conceptual change, STEM education, socioscientific issues, learning progressions, teacher preparation, and model-based learning. The research emphasizes the importance of fostering critical thinking and practical skills in science education.

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Educational Strategies and Epistemologies

This cluster of papers explores the development, dimensions, and influences of personal epistemological beliefs, metacognition, and information literacy in various educational contexts. It investigates topics such as source evaluation, cognitive engagement, multiple text comprehension, and the role of epistemic beliefs in self-regulated learning. The research contributes to understanding how individuals form and adapt their beliefs about knowledge and knowing, particularly in the context of online research and learning.

Number of works: 23176  |  Total number of citations: 371772

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Innovative Teaching and Learning Methods

This cluster of papers explores the concept of self-regulated learning, encompassing topics such as metacognition, collaborative learning, scaffolding, cognitive apprenticeship, and cooperative learning. It delves into the role of motivation, educational technology, and design-based research in fostering self-regulated learning. Additionally, it discusses the application of social interdependence theory in educational settings.

Number of works: 113429  |  Total number of citations: 1617638

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Article type: scientific article

DOI: https://doi.org/10.17759/chp.2016120104

Published

For citation: Kotov, A.A., Kotova, T.N. (2016). Using Pictures as Cultural Means in Finding Similarities between Solutions to Algebraic Tasks. Cultural-Historical Psychology, 12(1), 35–45. (In Russ.). https://doi.org/10.17759/chp.2016120104

© Kotov A.A., Kotova T.N., 2016

License: CC BY-NC 4.0

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Information About the Authors

Alexey A. Kotov, Candidate of Science (Psychology), Senior Researcher, Laboratory for Cognitive Research, HSE University, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0002-4426-4265, e-mail: akotov@hse.ru

Tatyana N. Kotova, Candidate of Science (Psychology), Associate Professor of the Faculty of Psychology of the Institute of Social Sciences, The Russian Presidential Academy of National Economy and Public Administration (The Presidential Academy), Moscow, Russian Federation, ORCID: https://orcid.org/0000-0002-2583-1922, e-mail: tkotova@gmail.com

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